Reference Manual 00821-0100-4809, Rev BA July 2009 Rosemount Annubar® Primary Flow Element Flow Test Data Book Rosemount 485 Annubar www.rosemount.com Rosemount 585 Annubar Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Rosemount Annubar Primary Flow Element Flow Test Data Book NOTICE Read this manual before working with the product. For personal and system safety, and for optimum product performance, make sure to thoroughly understand the contents before installing, using, or maintaining this product. Customer Central 1-800-999-9307 (7:00 a.m. to 7:00 P.M. CST) National Response Center 1-800-654-7768 (24 hours a day) Equipment service needs International 1-(952) 906-8888 The products described in this document are NOT designed for nuclear-qualified applications. Using non-nuclear qualified products in applications that require nuclear-qualified hardware or products may cause inaccurate readings. For information on Rosemount nuclear-qualified products, contact an Emerson Process Management Sales Representative. . . Fisher-Rosemount satisfies all obligations coming from legislation to harmonize product requirements in the European Union www.rosemount.com Reference Manual 00821-0100-4809, Rev BA July 2009 Rosemount Annubar Flow Test Data Book Table of Contents SECTION 1 Annubar Technology Rosemount Annubar Primary Flow Element. . . . . . . . . . . . . . . . . . . . . . . . . . . .1-1 Testing. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1-1 Mechanical and Structural Testing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1-2 In-House Performance Testing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1-2 Independent Laboratory Testing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1-2 On-Site Performance Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1-2 Rosemount Annubar Flow Element Test Advantages. . . . . . . . . . . . . . . . . .1-2 SECTION 2 How the Annubar Works Overview. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2-1 Design and Performance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2-2 Rosemount 485 Annubar Sensor Design . . . . . . . . . . . . . . . . . . . . . . . . . . .2-2 Rosemount 585 Annubar Sensor Design . . . . . . . . . . . . . . . . . . . . . . . . . . .2-5 SECTION 3 Flow Coefficient Reynolds Number Independence Flow Coefficient Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3-1 Benefits. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3-1 Rosemount Annubar Reynolds Number Ranges . . . . . . . . . . . . . . . . . . . . . . . .3-2 SECTION 4 Annubar Flow Theory Nomenclature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4-1 Flow Equation Derivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4-2 Blockage Equation Derivation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4-3 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4-5 SECTION 5 Test Facilities and Procedures Overview. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-1 Testing Laboratories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-1 Rosemount Boulder, Colorado Flow Laboratory . . . . . . . . . . . . . . . . . . . . . .5-1 Alden Research Laboratories (ARL) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-1 SwRI Gas Research Institute (GRI), Meter Research Facility (MRF) . . . . . .5-1 Utah Water Research Laboratories (UWRL) . . . . . . . . . . . . . . . . . . . . . . . . .5-1 Colorado Engineering Experimental Sation Inc (CEESI). . . . . . . . . . . . . . . .5-1 Gravimetric Procedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-2 Testing Performed by Sensor Size . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-3 485 Sensor Size 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-4 485 Sensor Size 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-10 485 Sensor Size 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-26 585 Sensor Size 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-28 585 Sensor Size 22 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-39 585 Sensor Size 44 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-49 SECTION 6 References TOC-1 Rosemount Annubar Flow Test Data Book TOC-2 Reference Manual 00821-0100-4809, Rev BA July 2009 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Section 1 Annubar Technology Rosemount Annubar Primary Flow Element . . . . . . . . . . page 1-1 Rosemount Annubar Flow Element Test Advantages . . . page 1-2 The Rosemount Annubar primary flow element maintains the traditional strengths of Averaging Pitot Tubes (APTs) with improved performance. The strengths of the Rosemount Annubar include: • • • • • • • • • • ROSEMOUNT ANNUBAR PRIMARY FLOW ELEMENT Low permanent pressure loss A flow coefficient independence of Reynolds number Simple installation, including a gear drive insertion and retraction device The highest signal to noise ratio of any APT (Model 485) 485 Uncalibrated Accuracy: ±0.75% 485 Calibrated Accuracy: up to ±0.5% 585 Uncalibrated Accuracy: ±1.50% 585 Calibrated Accuracy: up to ±0.5% Integral temperature measurement Direct transmitter mounting capability The Rosemount 485 Annubar primary flow element is the fifth generation Annubar. This design is comprised of three separate tubes that are drawn to produce a unique geometrical shape that produces a high and low pressure signal and contains an integral thermowell. The geometry change to the sensor required testing to establish a characterization curve and to determine a new flow coefficient. The Rosemount 585 Annubar primary flow element is machined from a single piece of barstock in a diamond shape with sharp edges to produce a flow coefficient that is more linear to Reynold’s number than other designs. Testing Tests performed on the Annubar primary flow elements are divided into five major categories: • • • • • Research and development testing Mechanical and structural testing In-house performance testing Independent laboratory testing On-site performance testing All categories are on-going and continue to be a part of the current Emerson test program for the Annubar primary flow elements. www.rosemount.com Reference Manual Rosemount Annubar Flow Test Data Book Mechanical and Structural Testing 00821-0100-4809, Rev BA July 2009 Rosemount performed mechanical and structural testing Material hardness Moments of inertia Fatigue life Fluid loading due to lift and drag forces Static bend tests Allowable stress limits Failure analysis Vibration analysis 485 X X X X X X X X 585 X X X X X Material and structural testing at: • Hauser Laboratories • MicroMotion Laboratory • Eden Prairie Flow Laboratory In-House Performance Testing Hundreds of flow tests were performed in the Emerson flow laboratory in 2-in. to 12-in. pipeline, using independently certified magnetic meters as primary reference meters. Baseline K-values, signal noise, cavitation, high and low Reynolds number limitations, methods of installations, static modeling, and straight-run requirements are just a few of the in-house performance tests that were performed on the Rosemount Annubar primaries. Independent Laboratory Testing Rosemount Annubar primary flow element models were tested at four independent laboratories: • Alden Research Laboratory (ARL) • Colorado Engineering Experiment Station, Inc. (CEESI) • Southwest Research Institute (SwRI) • Utah Water Research Lab (UWRL) Certified flow-data sheets were supplied from each of these facilities in pipelines ranging from 2-in. to 24-in. over a wide range of Reynolds numbers. A representative sample of independent tests conducted at Emerson and independent laboratories are Section 5: Test Facilities and Procedures. On-Site Performance Tests Emerson Process Management has a field service department that performs on-site performance tests and in-line calibrations for customers with unique installations or applications. ROSEMOUNT ANNUBAR FLOW ELEMENT TEST ADVANTAGES Emerson test procedures incorporate the following criteria and advantages: 1-2 • Flow test data were collected over a flow turndown range of 10:1 in most cases • All coefficients are ±0.75% (95% confidence) of the published K-value of a particular 485 Annubar flow element. • All coefficients are ±1.50% (95% confidence) of the published K-value of a particular 585 Annubar flow element. Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Section 2 How the Annubar Works Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . page 2-1 Design and Performance . . . . . . . . . . . . . . . . . . . . . . . . . . page 2-2 OVERVIEW The Rosemount Annubar primary flow element is a device used to measure the flow of a liquid, gas or steam fluid that flows through a pipe. It enables flow measurement by creating a differential pressure (DP) that is proportional to the square of the velocity of the fluid in the pipe, in accordance with Bernoulli's theorem. This DP is measured and converted into a flow rate using a secondary device, such as a DP pressure transmitter. The flow is related to DP through the following relationship. Equation 2-1 QK DP where: Q = Flow Rate K = Annubar Flow Coefficient DP = Differential Pressure For a more complete discussion on the flow equation, refer to Section 4: Annubar Flow Theory. The Annubar generates a DP by creating blockage in the pipe and acting as an obstruction to the fluid. The velocity of the fluid is decreased and stalled as it reaches the front surface the Annubar sensor, creating the impact/high pressure. The Rosemount Annubar senses the impact pressure by utilizing either a frontal slot (485) or sensing hole (585) design, which opens into the high pressure chamber. This high pressure chamber connects directly into the DP transmitter for measurement. Figure 2-2. Cross Section of the Rosemount 485 Annubar in a Flow Stream PL Stagnation Pressure Flow Impact Pressure PH PL www.rosemount.com PL Stagnation Pressure Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Figure 2-3. Cross Section of the Rosemount 585 Annubar in a Flow Stream As the fluid continues around the Annubar sensor, it creates a lower velocity profile on the backside of the sensor, creating the low/suction pressure downstream of the Annubar. Individual ports, located on the backside of the Annubar sensor measure this low pressure. Working on the same principle as the high pressure, an average low pressure is maintained in the low pressure chamber that connects directly into the transmitter for measurement. The resultant differential pressure is the difference between the impact (high) pressure reading and the suction (low) pressure reading as seen below. Equation 2-4 DP = P H – P L where: PH = High Pressure PL = Low Pressure DESIGN AND PERFORMANCE Rosemount 485 Annubar Sensor Design The 485 Annubar is T-shaped in design and is constructed in three scaled sizes for use in a wide range of pipe diameters. Its design includes a single high-pressure plenum, three common low-pressure plenums, and an integral thermowell. Figure 2-5. Cross-Section of the Rosemount 485 Annubar Low Pressure Plenums High Pressure Plenum Thermowell Low Pressure Plenum 2-2 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Differential Pressure (DP) Signal The T-shaped design of the 485 Annubar generates more differential pressure than any APT. The flat upstream surface of the sensor is perpendicular to the direction of flow, which results in a high and very stable drag coefficient. Since the flow coefficient, or k factor (see Equation 2-1), is a function of the drag coefficient, this produces a large, repeatable and predictable DP signal for a given velocity. The magnitude of the DP signal is directly related to measurement accuracy and the amount of primary element turndown, particularly at lower flow rates. One traditional limitation of APT technology is that accuracy degrades at lower flow rates as a result of the minimal DP produced. The Rosemount 485 extends the lower range limit that an APT can measure and maintain performance as a result of the additional DP generated. Impact (High) Pressure Measurement As mentioned in the “Overview” on page 2-1, the Rosemount 485 Annubar measures the impact (high) pressure with a frontal slot design. The laser cut slots extend across the entire front surface of the sensor to maximize the amount of the velocity flow profile measured and increase the accuracy of the measurement. Multiple slots are used to maintain the structural integrity of the bar. A seal weld is visible around the perimeter of the slots and is used to seal the high pressure chamber from the low pressure chamber to prevent any leakage potential. Testing revealed that the raised surface of the weld does not have any effect on performance so it is not removed. Figure 2-6. Rosemount 485 Frontal Slot Design Upstream slot for accurate averaging Seal weld between high pressure and low pressure plenums The patented slot design replaces sensing ports used by traditional APTs. This slot “integrates” the velocity flow profile and improves the accuracy of the measurement. By “integrating” the flow profile, a consistent series of data is recorded across the pipe diameter instead of limited samples taken at a few discreet points. By increasing the number of samples taken across the pipe of the actual flow rate, the accuracy of the measurement is improved. 2-3 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Suction (Low) Pressure Measurement The Rosemount 485 Annubar measures the suction (low) pressure with sensing ports located in stagnation zones on the backside of the sensor. As the fluid comes into contact with the 485 Annubar sensor and separates from the front edges, the velocity and turbulence level of the fluid in the area directly behind the sensor is greatly decreased. The low velocity and turbulence level in this stagnation zone significantly reduces any pressure variation in this region. Individual sensing ports are drilled in this location to detect the suction (low) pressure. The number of ports located on the backside of a given sensor is a function of pipe size and mathematically determined by the same Chebyshev principles of previous Annubar designs. Figure 2-7. Velocity Graph Long Arrows Indicate High Velocities Boundary Layer Separation Point Stagnation Zone Short Arrows Indicate Low Velocities Surface Texture As the flow over any surface in the flow stream is increased, the character of the fluid flow near that surface goes through a transition. At a certain critical flow rate, the level of turbulence in this region, termed the boundary layer, increases sharply. This increase in turbulence in the boundary layer on the front surface of the 485 Annubar causes a marked change in the separation of the flow at the edge, which in turn affects the accuracy of the differential pressure signal. The transition from the non-turbulent (laminar) to a turbulent boundary layer condition is an inescapable fact described by the principles of fluid dynamics. However, it has been found that altering the roughness or texture of the surface adjacent to the boundary layer can control the flow at which that transition takes place. 2-4 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 The front surface of the 485 Annubar sensor is tailored to the customer's flow application. In high flow applications (where the maximum expected flow exceeds one million Reynolds number), the surface is textured to increase the level of turbulence at a given flow rate. This ensures that the transition from laminar to turbulent flow in the boundary layer occurs at flows below (and outside) the customer's measurement range. For lower flow applications, the surface is left smooth to maintain a laminar boundary layer forcing the transition to occur above the maximum flow that will be seen in the application. Rosemount 585 Annubar Sensor Design The 585 Annubar is diamond-shaped in design and is constructed in three scaled sizes for use in a wide range of pipe diameters. Figure 2-8. Cross-Section of the Rosemount 585 Annubar High Pressure Plenum Low Pressure Plenums Reynolds Number Considerations As the flow over any surface in the flow stream is increased, the character of the fluid flow near that surface goes through a transition. At a certain critical flow rate, the level of turbulence in this region, termed the boundary layer, increases sharply. This increase in turbulence in the boundary layer on the front surface of the 585 Annubar causes a marked change in the separation of the flow at the edge, which in turn affects the accuracy of the differential pressure signal. The transition from the non-turbulent (laminar) to a turbulent boundary layer condition is an inescapable fact described by the principles of fluid dynamics. However, on the 585 model, the sharp edges on the side of the Annubar produce a more consistent separation point, resulting in a flow coefficient that is linear over the entire range of pipe reynolds numbers that are typically encountered in flow measurement applications. 2-5 Rosemount Annubar Flow Test Data Book 2-6 Reference Manual 00821-0100-4809, Rev BA July 2009 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Section 3 Flow Coefficient Reynolds Number Independence Flow Coefficient Overview . . . . . . . . . . . . . . . . . . . . . . . . . page 3-1 Benefits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . page 3-1 Rosemount Annubar Reynolds Number Ranges . . . . . . page 3-2 FLOW COEFFICIENT OVERVIEW The flow coefficient (K–factor) is the ratio of the actual flow rate to the calculated (theoretical) flow rate. The accuracy of the Rosemount Annubar relates directly to the flow coefficient. The flow coefficient is empirically determined by testing a representative sample of flowmeters to establish the relationship between flowrate and the DP induced across the primary element. This sampling of flow coefficients is generally plotted as a function of key flow-meter variables. For averaging pitot tubes, flow coefficients are plotted against the meter's pipe blockage. Curve-fitting techniques are used to generate an equation that best fits the sampling of flow coefficients. This curve-fit equation becomes the basis for a manufacturer's published flow coefficients. These published flow coefficients are used for flowmeters in nearly all untested conditions. Rosemount has supplemented the flow coefficient equations discussed above with the blockage equation derived in Section 4 of this document. This blockage equation defines a relationship between flow coefficient and blockage that substantiates the results of empirical testing. Extensive APT testing conducted by Rosemount over the past 35 years support the theoretical equation. BENEFITS The K-factor of an Annubar is a function of the blockage the probe presents to the flow stream. The flow coefficient of many other primary elements is a function of Reynolds number. This characteristic of Annubar performance offers significant benefits over other primary elements. K-factor independence can be attributed to a constant separation point at the edges of the Annubar and to the probe's ability to take a proper average. Thus: www.rosemount.com • It allows measurement of a wide range of Reynolds numbers without a correction factor for changing Reynolds numbers. • Any variations in the K-factor with changing Reynolds number are due to scatter and fall within ±0.75% of the published K-value for the 485 Annubar. • Any variations in the K-factor with changing Reynolds number are due to scatter and fall within ±1.50% of the published K-value for the 585 Annubar. Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 The K-to-blockage theoretical link demonstrates a higher degree of confidence in Rosemount Annubar K-factors than shown by flowmeters that use only an empirical database to determine flow coefficients. Rosemount is the first company to identify and use theoretical equations linking self-averaging pitot-tube flow coefficients to pipe blockage. ROSEMOUNT ANNUBAR REYNOLDS NUMBER RANGES For a Rosemount Annubar to operate accurately, the flowing media must travel at a velocity sufficient to separate from the edges of the Annubar. Drag coefficients, lift coefficients, separation points, and pressure distributions around bluff bodies are best described by “rod” Reynolds numbers. There is a minimum rod Reynolds number at which the flowing fluid will not properly separate from the edges of the T shape. The rod Reynolds number can be calculated using Equation 3-1. Equation 3-1 V Rd = d -------------------- where: d = Probe Width (feet or meters) V = Velocity of fluid (ft/sec or meters/second) = Density of fluid (lbm/ft3 or kg/m3) = Viscosity of fluid (lbm/ft-sec or kg/meter-sec) Minimum rod Reynolds numbers for the Rosemount Annubar can be found in Table 3-1. Table 3-1. Rod Reynolds Number Lower Limits Sensor Size 485 Annubar 1 2 3 585 Annubar 11 22 44 3-2 Minimum Rod Reynolds Number (Rd) Probe Width (d) feet meters 6500 12500 25000 0.0492 0.0883 0.1613 0.0150 0.0269 0.0491 6500 10000 25000 0.0667 0.1000 0.1900 0.0203 0.0305 0.0579 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Section 4 Annubar Flow Theory Nomenclature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . page 4-1 Flow Equation Derivation . . . . . . . . . . . . . . . . . . . . . . . . . . page 4-2 Blockage Equation Derivation . . . . . . . . . . . . . . . . . . . . . . page 4-3 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . page 4-5 Annubar flow equations are built on basic hydraulic principles. The theoretical link to these concepts increases confidence in an Annubar measurement when compared to other measurements that are based solely on empirical data. NOMENCLATURE The following symbols are used in the derivation of the flow equation and the blockage equation: A = cross sectional area of the pipe cross-sectional area of sensor B = blockage ratio = cross-sectional area of pipe C1 = integration constant C2 = integration constant f(B) = function of blockage hB = differential pressure caused by blockage hS = differential pressure caused by shape of sensor h = total differential pressure = hB + hS gc = gravitational constant KA = flow coefficient = Actual Flow Rate (QA) Theoretical Flow Rate (Qth) P = fluid pressure Qa = actual flow rate Qth = theoretical flow rate V = average fluid velocity = fluid density z = height above an arbitrary datum plane Unless noted otherwise, subscript 1 denotes an upstream condition and subscript 2 denotes a downstream or throat condition. www.rosemount.com Reference Manual Rosemount Annubar Flow Test Data Book FLOW EQUATION DERIVATION 00821-0100-4809, Rev BA July 2009 The flow equation relates the DP induced across a primary element to the velocity of the fluid in the pipe. As with other differential-pressure flowmeters, Rosemount Annubar equations are based on the Bernoulli equation: 2 Equation 4-1 2 V1 P V2 P --------- + ------1 + g c z 1 = --------+ ------2 + g c z 2 2g c 1 2g c 2 For incompressible fluids 1 = 2. Changes in elevation around a primary element are negligible so z1 = z2. Also, assume the velocity just within the mouth of the impact-sensing ports is zero, (V1 = 0). While minor circulation may occur within the high pressure chamber of the Rosemount Annubar, this flow is extremely small and may be considered negligible. Solving for V2 yields: Equation 4-2 V2 = P1 – P2 2g c ----------------------- The net differential pressure produced can be rewritten as: Equation 4-3 P1 – P2 h = ------------------ Substituting Equation 4-3 into Equation 4-2 yields: Equation 4-4 V2 = 2g c h Like the orifice plate and venturi meter, the general equation describing the actual flow in a pipe for the Rosemount Annubar is: Equation 4-5 Q a = K A AV In Equation 4-4, V2 is the average velocity of the fluid traveling past the sensor on the downstream side; whereas, in Equation 4-5, V is the average velocity in the pipe. Differences between these two velocities (V2 and V) are absorbed in the flow coefficient (KA). Combining Equation 4-4 and Equation 4-5 yields: Equation 4-6 Q a = K A A 1 2g c h Equation 4-6 is the flow equation used to relate differential pressure induced across the primary element to flow rate for the Rosemount Annubar. 4-2 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 BLOCKAGE EQUATION DERIVATION Because the flow coefficient compensates for the difference between V2 and V, it must be recognized that (KA) will be a function of the amount of obstructed area the sensor itself causes in the pipe. More specifically, (KA) is a function of the sensor's blockage in the pipe. Equation 4-7 KA = f B This is analogous to the velocity-of-approach factor for an orifice plate or a venturi meter. The following derivation uniquely determines f(B) in Equation 4-7. Discussion is limited to fluid flows in the turbulent regime for which Rosemount Annubar flow measurement is intended. Development of the equations applies to primary flow elements that are geometrically similar. Beginning with Equation 4-6, the differential pressure produced by a primary flow element can be dissected into two parts: • Differential pressure due to the primary flow element's blockage (hB) • Differential pressure due to the shape of the primary flow element (hS) Focusing on the differential pressure contribution due to the primary flow element's blockage (hB), Equation 4-1 can be rearranged: Equation 4-8 P1 – P2 2 2 1 - = --------- V 2 – V 1 h B = ----------------------2g c In the derivation of the blockage equation V1 is defined as the average fluid velocity in the pipe prior to encountering the primary flow element, V2 equals the accelerated velocity past the primary flow element. Using the conservation of mass: Equation 4-9 A1 V1 1 = A2 V2 2 For incompressible fluids, 1 = 2, Equation 4-9 can be simplified: Equation 4-10 A1 V 2 = ------ V 1 A2 Where: A1 = Cross-sectional area of the pipe A2 = Cross-sectional area of the pipe less the amount blocked by the sensor A2 can be rewritten in terms of A and the flow element's blockage: Equation 4-11 A 2 = 1 – B A 1 Substituting into Equation 4-10 yields: Equation 4-12 1 V 2 = ------------- V 1 1 – B 4-3 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Substituting Equation 4-12 into Equation 4-8: 2 Equation 4-13 V1 1 h B = --------- --------------------- – 1 2g c 1 – B 2 Recall the general equation relating the actual flow in a pipe to the Rosemount Annubar signal (Equation 4-6): Q a = K A A 1 2gc h Where: h = The total differential pressure produced by the flow element h = hB + hS Substituting into Equation 4-6 and rearranging yields: Q K A = -----------------------------------------------------A 1 2g c h B + h S Equation 4-14 Differentiate Equation 4-14 with respect to the differential pressure contribution due to the primary flow element's blockage (hB), assuming hS remains constant. 3 – --K A 2 1 Qa ---------- = – --- --------------------- h B + h S 2 A 2g h B 1 c Equation 4-15 Differentiate Equation 4-13 with respect to the primary flow element's blockage (B). 2 V1 h B –3 ---------- = --------- 1 – B gc B Equation 4-16 K K h A - -------------B- with Equation 4-15 and Equation 4-16. Combine ----------A = ------------h B B h B 3 1 c Q ------ and h = h B + h A and simplify: Substitute V 1 = A 1 Qa K A 3 –3 ---------- = – ----------------------------- 1 – B B A 1 2g c h Equation 4-18 Q a - and simplify: Substitute K A = ---------------------------- A 1 2g c h Equation 4-19 K A –3 3 = KA 1 – B ---------B Rearrange and integrate: dK A = 1 – B – ---------3 K A Equation 4-20 4-4 2 – --V1 QA K A –3 2 1 = – --- --------------------- h B + h S --------- 1 – B --------- 2 A 2g gc B Equation 4-17 –2 1 –2 1 --- K A + C 1 = --- 1 – B 2 2 –3 dB Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Where C1 = constant of integration, solve for KA, redefining the integration constant C1 as 2C1. Equation 4-21 1 – B K A = ----------------------------------------2 1 – C1 1 – B (B) represents the actual blockage in the pipe caused by the Rosemount Annubar. Because downstream pressure is sensed past the flow element's widest cross-section, the effective blockage of the sensor will be a fraction of the actual blockage. Therefore, define an effective blockage as C2B where C2 represents a fraction of the actual blockage. Equation 4-21 can be rewritten: Equation 4-22 1 – C2 B K A = ------------------------------------------------2 1 – C1 1 – C2 B Equation 4-22 shows that there is a direct relationship between a primary flow element flow coefficient KA and its blockage. As blockage approaches zero, Equation 4-22 becomes: Equation 4-23 KA B0 1 = -------------------1 – C1 Thus, as blockage approaches zero, the primary flow element flow coefficient 1 approaches a constant value -------------------, the stream-flow coefficient. 1 – C1 This constant value is the primary flow element flow coefficient due only to the primary flow element's shape (hS), and is analogous to placing the primary flow element in an infinitely large pipe with no confining walls. The constants C1 and C2 in Equation 4-22 are determined experimentally. Once determined, Equation 4-22 becomes the theoretical link between the flow coefficient and the flow element blockage. CONCLUSION While empirical testing of a flowmeter is the most accurate means of determining the meter's flow coefficient, many flowmeters use untested predicted flow coefficient. • Untested flow coefficients are based on a representative sample of empirically determined flow coefficients and on theories that link the flow coefficient to physical parameters in the pipe. • Like an orifice plate or a venturi meter, an averaging pitot tube has a theoretical relationship between its flow coefficient and parameters in the pipe. • An averaging pitot tube's flow coefficient is related to its blockage in the pipe. This blockage dependency is necessary because the sensor itself reduces the effective pipe flow area. • For an orifice plate and a venturi meter, the velocity-of-approach factor is the theoretical link between the meter's flow coefficient and it's beta ratio. For a Rosemount Annubar, Equation 4-22 describes the theoretical relationship between the sensor's flow coefficient and its blockage in the pipe. • Using a theoretical basis, in addition to empirical testing, for the prediction of untested flow coefficients provides a much higher degree of confidence in these untested values. 4-5 Rosemount Annubar Flow Test Data Book 4-6 Reference Manual 00821-0100-4809, Rev BA July 2009 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Section 5 Test Facilities and Procedures Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . page 5-1 Testing Laboratories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . page 5-1 Gravimetric Procedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . page 5-2 Testing Performed by Sensor Size . . . . . . . . . . . . . . . . . . page 5-3 485 Sensor Size 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . page 5-4 485 Sensor Size 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . page 5-10 485 Sensor Size 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . page 5-26 585 Sensor Size 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . page 5-28 585 Sensor Size 22 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . page 5-39 585 Sensor Size 44 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . page 5-49 OVERVIEW The following descriptions of tests and testing methods are abbreviated versions. For detailed descriptions of the individual laboratories contact the facility in question. TESTING LABORATORIES Rosemount Boulder, Colorado Flow Laboratory The Rosemount Annubars are tested and calibrated in water at Rosemount Inc. Line sizes available for testing range from 0.50 in. to 12 in. A secondary set of reference meters, routinely calibrated against a gravimetric primary standard, provide an uncertainty of 0.25 percent. Calibrations that use the primary-measurement device, gravimetric method, can be calibrated with an uncertainty of 0.1 percent. Alden Research Laboratories (ARL) Flowmeters are calibrated at ARL using the gravimetric method. This method has been found to produce a consistent accuracy of ±0.25% over extended periods. SwRI Gas Research Institute (GRI), Meter Research Facility (MRF) Flowmeters are tested and calibrated on a recirculating natural gas loop. A sonic nozzle bank provides secondary flow calibration. This permits high repeatability and excellent test accuracies via calibration against the gravimetric primary standards. The sonic nozzle banks produce an accuracy on flow rate of 0.25% of reading. Utah Water Research Laboratories (UWRL) Flowmeters are calibrated at UWRL using either calibrated nozzles or gravimetric method. Colorado Engineering Experimental Sation Inc (CEESI) CEESI has two facilities, using different calibration methods: www.rosemount.com • The Nunn, Colorado Facility uses compressed air stored in cylinders and discharged through a calibrated nozzle. • The Garner IA Facility uses high-pressure natural gas from a transmission line that is measured via a calibrated nozzle. Rosemount Annubar Flow Test Data Book GRAVIMETRIC PROCEDURE Reference Manual 00821-0100-4809, Rev BA July 2009 Piping is selected to match the inside diameter of the flowmeter under test. Carbon steel piping is normally used for these tests. Gaskets between pipe flanges are carefully installed and checked to ensure that they not interfere with the flow. Proper alignment of the flowmeter with the piping is maintained. After all piping is secured with bolts, couplings, or clamps. Water is gradually introduced into the line. Flows are set to purge air from the system and to bring the flowmeter to steady-state temperature. After operating the system for a period of time, the control valve (at the downstream end of the test line) is closed. Air is then purged from all instrumentation lines, instruments, and the flowmeter. After air purging, and with the control valve in the closed position, all instrumentation is checked for zero-flow indication. Calibration test runs are not started until all instrumentation reads zero at the no flow condition. The flow rate is set by adjusting the control valve at the end of the test line to a desired flow. This flow is allowed to stabilize and reach steady-state condition. This condition is achieved when the average flow-meter readout is constant with time. At this point, the calibration run begins. A calibration run consists of simultaneously recording the flowmeter output while the weighing tank is filled and the filling process is timed. Electronic timers are activated and deactivated by electric eyes on the switch way. Outputs are recorded at 1–15 Hz during this time. The duration of the run is typically between 50 and 100 seconds. For higher flow rates, the limiting factor is the capacity of the weighing tank. In addition to recording weight and time, the water temperature, air temperature weigh tank, and air temperature adjacent to the readout are recorded. Barometric pressure is also recorded at the start and at the end of the test. After a run is completed, the control valve is reset to another flow rate and the process is repeated. Runs are normally conducted at 12 different flow rates, approximately equally spaced from the maximum to the minimum flow rates. In some cases, the maximum flow obtainable by the test facility determines the upper flow limit of the test. 5-2 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 TESTING PERFORMED BY SENSOR SIZE The followings tests are provided on the following pages Rosemount 485 Sensor Size 1: • Water, FI-210, 3-in. Schedule 40 (see page 5-4) • Natural Gas, FI-260, 3-in. Schedule 40 (see page 5-6) • Natural Gas, FI-261, 3-in. Schedule 40 (see page 5-8) Rosemount 485 Sensor Size 2: • Natural Gas and Water, FI-156, 8-in. Schedule 80 (see page 5-10) • Water, FI-162, 3-in. Schedule 40 (see page 5-12) • Water, FI-163, 3-in. Schedule 40 (see page 5-14) • Water, FI-169, 10-in. Schedule 40 (see page 5-16) • Natural Gas and Water, FI-178, 8-in. Schedule 80 (see page 5-18) • Natural Gas and Water, FI-179, 8-in. Schedule 80 (see page 5-20) • Natural Gas, FI-180, 6-in. Schedule 40 (see page 5-22) • Natural Gas, FI-181, 6-in. Schedule 40 (see page 5-24) Rosemount 485 Sensor Size 3 • Water, FI-307, 24-in. Schedule Standard (see page 5-26) Rosemount 585 Sensor Size 11: • Water, 585-11-1, 4-in. Schedule 40 (page 5-29) • Water, 585-11-1, 4-in. Schedule 40 (page 5-31) • Water, 585-11-7, 10-in. Schedule 40 (page 5-33) • Water, 585-11-6, 8-in. Schedule 40 (page 5-34) • Water, 585-11-5, 6-in. Schedule 40 (page 5-35) • Water, 585-11-5, 6-in. Schedule 40 (page 5-36) • Water, 585-11-3, 4-in. Schedule 80 (page 5-37) • Air, 585-11-1, 4-in. Schedule 40 (page 5-38) Rosemount 585 Sensor Size 22: • Water, 585-22-1, 6-in. Schedule 80 (page 5-40) • Water, 585-22-1, 6-in. Schedule 80 (page 5-42) • Water, 585-22-5, 10-in. Schedule 40 (page 5-43) • Water, 585-22-5, 10-in. Schedule 40 (page 5-44) • Water, 585-22-5, 10-in. Schedule 40 (page 5-45) • Water, 585-22-2, 5-in. Schedule 40 (page 5-46) • Water, 585-22-2, 5-in. Schedule 40 (page 5-47) • Air, 585-22-5, 8-in. Schedule 10 (page 5-48) Rosemount 585 Sensor Size 33 • Water, 585-44-1, 16-in. STD (page 5-50) • Water, 585-44-1, 24-in. STD (page 5-51) • Water, 585-44-1, 12-in. STD (page 5-52) • Natural Gas, 585-44-10, 12-in. STD (page 5-53) 5-3 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 485 SENSOR SIZE 1 Test Laboratory: Rosemount Boulder, Colorado Flow Lab Sensor Size: 1 Fluid: Water Sensor Serial Number: Fl-210 Nominal Pipe Size: 3-in. Schedule 40 Test Date: May 15, 2000 Pipe I.D.: 3.097-in (78.66 mm) Blockage: 24.26% Kpub: 0.5099 0.5200 0.5150 0.5100 K 0.5050 0.5000 0.4950 0.4900 Kpub +/- 0.75% Kpub 0.4850 Reynolds Number low limit 0.4800 1.0E+04 1.0E+05 Pipe Reynolds Num ber 5-4 1.0E+06 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Table 5-1. Rosemount Boulder, Colorado Flow Lab, Water. Data Pipe Point Reynolds Number Number Velocity Differential Pressure 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 ft/sec. 20.00 20.25 18.09 18.22 17.17 17.49 15.66 15.58 13.39 13.59 12.70 12.89 11.71 11.89 9.51 9.75 8.67 8.88 4.32 4.54 2.58 2.79 1.65 1.92 in Water 285.186 291.907 233.873 237.029 210.633 218.940 175.154 173.340 128.240 132.030 115.145 118.684 97.853 100.734 64.686 67.826 53.779 56.323 13.357 14.751 4.795 5.610 1.973 2.658 4.70E + 05 4.75E + 05 4.25E + 05 4.29E + 05 4.05E + 05 4.14E + 05 3.70E + 05 3.68E + 05 3.16E + 05 3.20E + 05 2.99E + 05 3.04E + 05 2.76E + 05 2.80E + 05 2.24E + 05 2.30E + 05 2.04E + 05 2.09E + 05 1.02E + 05 1.07E + 05 6.06E + 04 6.56E + 04 3.86E + 04 4.49E + 04 Temperature Pressure °F °C psig bar 66.7 19.3 38.7 2.67 66.7 19.3 38.7 2.67 66.7 19.3 39.1 2.70 66.9 19.4 39.1 2.70 67.0 19.4 39.3 2.71 67.3 19.6 39.2 2.70 67.2 19.6 39.6 2.73 67.2 19.6 39.6 2.73 67.0 19.4 36.5 2.52 67.0 19.4 36.5 2.52 67.0 19.4 36.9 2.54 67.0 19.4 36.9 2.54 67.0 19.4 37.2 2.56 67.0 19.4 37.2 2.58 67.0 19.4 37.5 2.59 67.0 19.4 37.4 2.58 67.0 19.4 37.5 2.59 67.0 19.4 37.5 2.59 66.9 19.4 35.2 2.43 66.9 19.4 35.2 2.43 66.8 19.3 35.9 2.48 66.7 19.3 35.9 2.148 66.5 19.2 25.4 1.75 66.5 19.2 25.4 1.75 Reynolds Number Low Limit: 31495 Viscosity Density Flow Rate K cP 1.020 1.020 1.019 1.017 1.016 1.012 1.013 1.012 1.015 1.015 1.015 1.015 1.015 1.015 1.015 1.015 1.015 1.016 1.017 1.017 1.019 1.020 1.022 1.023 lb/ft3 62.32 62.32 62.32 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.32 62.32 62.32 62.32 62.32 GPM 469.63 475.45 424.91 427.95 403.09 410.78 367.64 365.77 314.53 319.18 298.33 302.63 274.96 279.21 223.30 228.95 203.49 208.48 101.40 106.53 60.60 65.62 38.66 45.06 0.5115 0.5118 0.5110 0.5113 0.5108 0.5106 0.5109 0.5110 0.5108 0.5109 0.5113 0.5109 0.5112 0.5117 0.5107 0.5113 0.5103 0.5109 0.5103 0.5102 0.5090 0.5096 0.5062 0.5083 5-5 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: SwRI Flow Lab Sensor Size: 1 Fluid: Natural gas (185 psi) Sensor Serial Number: Fl-260 Nominal Pipe Size: 3-in. Schedule 40 Test Date: August 22, 2002 Pipe I.D.: 3.068-in (77.9 mm) Blockage: 24.49% Kpub: 0.5084 0.5200 0.5150 0.5100 K 0.5050 0.5000 0.4950 Kpub 0.4900 +/- 0.75% Kpub 0.4850 0.4800 1.0E+05 1.0E+06 Pipe Reynolds Num ber 5-6 1.0E+07 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Table 5-2. SwRI Flow Labs, Natural Gas (185 psi) File Pressure Temperature Density DP 000 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 psia 202.5993 202.6013 202.5994 201.5583 201.5599 201.5369 200.8503 200.8377 200.7973 200.1507 200.1393 200.1204 199.8453 199.8302 199.8061 199.3174 199.2619 199.2151 199.5703 199.5145 199.4588 °F 69.18282 69.18553 69.15164 69.43139 69.40691 69.3722 69.7511 69.7335 69.67277 69.95492 69.91759 69.91065 70.4162 70.45454 70.47626 71.82439 71.86183 71.81538 72.70587 73.05611 73.31953 lb/ft3 0.625256 0.625259 0.625297 0.621619 0.621656 0.621652 0.619006 0.618989 0.618939 0.616529 0.616541 0.616489 0.614976 0.614873 0.61477 0.611521 0.611299 0.61121 0.611203 0.610585 0.610078 in H2O 425.7187 425.7972 425.7294 306.1838 306.2264 306.1974 204.6737 204.7528 204.592 123.6027 123.5444 123.5626 63.06322 63.04856 63.05495 22.80306 22.77319 22.79317 2.65138 2.64952 2.64417 Re D 5170457 5170316 5170481 4374677 4374799 4374683 3578087 3577890 3577455 2778837 2778784 2778465 1983918 1983498 1983119 1191144 1190568 1190234 401055 400679 400334 K 0.51071 0.51066 0.51067 0.51048 0.51042 0.5104 0.51138 0.51125 0.51135 0.51174 0.51182 0.51174 0.51214 0.51216 0.5121 0.51365 0.51386 0.51349 0.50791 0.50814 0.50863 Gas Exp. Factor Probe Width Mass Flow 0.99523 0.99523 0.99523 0.99655 0.99655 0.99655 0.99768 0.99768 0.99769 0.9986 0.9986 0.9986 0.99928 0.99928 0.99928 0.99974 0.99974 0.99974 0.99997 0.99997 0.99997 in. 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 lb/s 7.782182 7.782003 7.781837 6.586276 6.586208 6.585636 5.389227 5.388787 5.387597 4.186452 4.186121 4.18559 2.990931 2.990477 2.989999 1.79961 1.798835 1.798191 0.606773 0.606531 0.606254 5-7 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: SwRI Flow Lab Sensor Size: 1 Fluid: Natural gas (185 psi) Sensor Serial Number: Fl-261 Nominal Pipe Size: 3-in. Schedule 40 Test Date: August 22, 2002 Pipe I.D.: 3.068-in (77.9 mm) Blockage: 24.49% Kpub: 0.5084 0.5200 0.5150 0.5100 K 0.5050 0.5000 0.4950 Kpub 0.4900 +/- 0.75% Kpub 0.4850 0.4800 1.0E+05 1.0E+06 Pipe Reynolds Num ber 5-8 1.0E+07 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Table 5-3. SwRI Flow Labs, Natural Gas (185 psi) File Pressure Temperature Density DP 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 psia 202.8247 202.8007 202.7756 201.6693 201.6491 201.6101 201.1633 201.1247 201.0782 200.505 200.4762 200.447 200.0181 199.9286 199.8472 199.1532 199.0394 198.9264 199.3829 199.241 199.1592 °F 69.03876 69.03179 68.96634 69.20293 69.24744 69.23643 69.68273 69.68246 69.66862 69.53053 69.37682 69.30812 69.9976 70.08919 70.19513 71.49677 71.29086 71.09116 74.01337 74.74033 75.24209 lb/ft3 0.626134 0.626067 0.626073 0.622241 0.622096 0.621986 0.619948 0.619826 0.619697 0.618117 0.618224 0.61822 0.615975 0.615575 0.615182 0.611342 0.611244 0.611141 0.608892 0.607537 0.606655 in H2O 429.9236 429.6451 429.6553 308.8323 309.0335 308.6848 206.8046 206.7449 206.6449 124.5604 124.5957 124.5066 63.51227 63.49648 63.44048 22.84423 22.84238 22.79827 2.64419 2.6376 2.64077 Re D 5170632 5169961 5169905 4373337 4372184 4371092 3578432 3577270 3576206 2778664 2778848 2778721 1981658 1980105 1978503 1186026 1185647 1185285 398073 397198 396584 K 0.50779 0.50791 0.50784 0.50771 0.50751 0.5077 0.50837 0.50833 0.50834 0.50877 0.50856 0.50867 0.509 0.5089 0.50896 0.51079 0.51052 0.51073 0.50679 0.50743 0.5071 Gas Exp. Factor Probe Width Mass Flow 0.99519 0.99519 0.99519 0.99652 0.99652 0.99652 0.99766 0.99766 0.99767 0.99859 0.99859 0.99859 0.99928 0.99928 0.99928 0.99974 0.99974 0.99974 0.99997 0.99997 0.99997 in. 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 lb/s 7.780826 7.779712 7.778808 6.581931 6.580654 6.578869 5.389369 5.387594 5.385848 4.183545 4.182799 4.182145 2.985605 2.983665 2.98172 1.790918 1.789749 1.788623 0.603472 0.602815 0.602347 5-9 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 485 SENSOR SIZE 2 Test Laboratory: SwRI Flow Lab and Rosemount Boulder, Colorado Flow Lab Sensor Size: 2 Fluid: Natural gas (350 psi) and Water Sensor Serial Number: Fl-156 Nominal Pipe Size: 8-in. Schedule 80 Test Date: February 13, 2001 (SwRI), December 18, 2000 (DSI) Pipe I.D.: 7.634-in (193.9 mm) Blockage: 17.38% Kpub: 0.5544 +/- 5-10 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Table 5-4. SwRI Flow Labs, Natural Gas (350 psi) File Pressure Temperature Density 000 001 002 003 004 005 006 007 008 009 010 011 012 019 022 023 026 027 028 029 030 031 032 033 034 035 psia 351.05 350.97 350.94 350.91 350.53 350.49 350.50 350.10 350.07 350.07 349.91 349.88 349.82 349.19 349.32 349.38 348.77 349.61 349.57 349.54 349.50 349.46 349.44 349.58 349.53 349.51 °F 70.420 70.117 70.140 70.133 70.182 70.187 70.172 70.182 70.175 70.201 70.141 70.136 70.139 70.415 70.746 70.618 70.058 70.138 70.130 70.099 70.131 70.159 70.157 70.125 70.091 70.057 lb/ft3 1.16231 1.16415 1.16398 1.16390 1.16242 1.16237 1.16242 1.16096 1.16091 1.16083 1.16043 1.16033 1.16011 1.15714 1.15670 1.15724 1.15662 1.15934 1.15924 1.15920 1.15902 1.15882 1.15880 1.15935 1.15928 1.15929 025 349.38 70.618 1.15724 DP Re D in H2O 57.073 6860864 57.074 6866857 57.146 6866155 57.110 6865564 39.673 5718707 39.633 5718194 39.706 5718456 22.302 4294705 22.288 4294396 22.272 4294104 9.887 2863651 9.890 2863475 9.886 2863079 0.399 572224 0.395 571852 0.395 572081 9.844 2853932 6.308 2288047 6.301 2287657 6.307 2287696 3.541 1713710 3.538 1713422 3.536 1713262 1.563 1141348 1.565 1141235 1.565 1141168 Forced Zero DP Run R2 –0.014 572081 R1 0.001 Gas Exp. Factor Probe Width Mass Flow 0.5529 0.5525 0.5522 0.5523 0.5522 0.5525 0.5519 0.5534 0.5535 0.5537 0.5542 0.5541 0.5542 0.5525 0.5547 0.5553 0.5543 0.5546 0.5548 0.5545 0.5544 0.5547 0.5548 0.5557 0.5552 0.5551 0.9995 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9998 0.9998 0.9998 0.9999 0.9999 0.9999 1.0000 1.0000 1.0000 0.9999 0.9999 0.9999 0.9999 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 in. 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 1.042 lb/s 26.083 26.086 26.084 26.082 21.725 21.723 21.724 16.314 16.313 16.313 10.877 10.877 10.875 2.174 2.174 2.174 10.837 8.691 8.689 8.689 6.509 6.508 6.507 4.335 4.334 4.334 0.5553 1 1.042 2.174 K Table 5-5. Rosemount Boulder, Colorado Flow Lab, Water Data Pipe Point Reynolds Number Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 8.03E + 05 8.09E + 05 6.73E + 05 6.77E + 05 5.46E + 05 5.46E + 05 4.23E + 05 4.21E + 05 3.35E + 05 3.33E + 05 2.07E + 05 2.07E + 05 1.61E + 05 1.67E + 05 1.21E + 05 1.25E + 05 Differential Velocity Pressure Temperature ft/sec. 14.02 14.13 11.75 11.82 9.54 9.54 7.38 7.35 5.84 5.81 3.62 3.61 2.80 2.90 2.10 2.18 in Water 118.295 119.941 83.542 83.958 54.750 55.095 32.526 32.407 20.657 20.330 7.917 7.902 4.755 5.083 2.685 2.881 Pressure °F °C psig bar 66.0 18.89 22.8 1.57 66.0 18.89 22.8 1.57 66.0 18.89 24.5 1.69 66.0 18.89 24.4 1.68 66.0 18.89 27.3 2.02 66.0 18.89 27.1 1.87 66.0 18.89 29.0 2.00 66.0 18.89 29.0 2.00 66.0 18.89 31.5 2.17 66.0 18.89 31.5 2.17 66.1 18.94 33.9 2.34 66.1 18.94 33.9 2.34 66.1 18.94 35.7 2.46 66.1 18.94 35.8 2.47 66.2 19.00 37.6 2.59 66.2 19.00 37.7 2.60 Reynolds Number Low Limit: 91471 Viscosity cP 1.030 1.030 1.030 1.030 1.030 1.030 1.029 1.030 1.029 1.029 1.029 1.029 1.028 1.028 1.027 1.027 Density 3 lb/ft 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 Flow Rate K GPM 2642.15 2643.91 2404.31 2425.52 1995.94 2011.41 1673.09 1682.18 1358.43 1357.83 1050.11 1045.96 831.75 827.42 514.62 513.65 0.5568 0.5573 0.5554 0.5571 0.5571 0.5551 0.5587 0.5575 0.5553 0.5568 0.5550 0.5545 0.5550 0.5556 0.5548 0.5543 5-11 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Rosemount Boulder, Colorado Flow Lab Sensor Size: 2 Fluid: Water Sensor Serial Number: Fl-162 Nominal Pipe Size: 3-in. Schedule 40 Test Date: December 19, 2000 Pipe I.D.: 8.006-in (203.4 mm) Blockage: 16.60% Kpub: 0.5588 0.5200 0.5700 0.5150 0.5650 0.5100 0.5600 K K 0.5050 0.5550 0.5000 0.5500 0.4950 0.5450 0.5400 0.4900 Kpub +/- 0.75% Kpub 0.5350 0.4850 Reynolds Number low limit 0.5300 0.4800 1.0E+04 1.0E+04 1.0E+05 1.0E+05 Pipe Num ber Pipe Reynolds Reynolds Num ber 5-12 1.0E+06 1.0E+06 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Table 5-6. Rosemount Boulder, Colorado Flow Lab, Water. Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Pipe Reynolds Number Velocity Differential Pressure 1.05E + 06 1.04E + 06 9.52E + 05 9.56E + 05 7.86E + 05 7.90E + 05 6.57E + 05 6.61E + 05 5.29E + 05 5.29E + 05 4.10E + 05 4.09E + 05 3.24E + 05 3.24E + 05 2.01E + 05 1.99E + 05 1.56E + 05 1.59E + 05 1.19E + 05 1.21E + 05 ft/sec. 17.16 16.91 15.51 15.57 12.81 12.87 10.70 10.77 8.63 8.62 6.68 6.67 5.27 5.29 3.27 3.23 2.54 2.59 1.94 1.97 in Water 176.063 170.395 143.617 144.939 97.625 98.542 68.137 68.602 44.337 44.258 26.607 26.595 16.488 16.780 6.402 6.194 3.866 4.033 2.274 2.365 Temperature Pressure °F °C psig bar 67.5 19.7 23.2 1.60 67.6 19.8 23.5 1.62 67.6 19.8 25.0 1.72 67.6 19.8 24.9 1.72 67.5 19.7 27.8 1.92 67.5 19.7 27.7 1.91 67.5 19.7 29.6 2.04 67.5 19.7 29.6 2.04 67.5 19.7 32.1 2.21 67.5 19.7 32.1 2.21 67.5 19.7 34.5 2.38 67.5 19.7 34.5 2.38 67.5 19.7 36.4 2.51 67.5 19.7 36.4 2.51 67.6 19.8 38.3 2.64 67.6 19.8 38.3 2.64 67.7 19.8 39.1 2.70 67.6 19.8 39.1 2.70 67.4 19.7 36.9 2.54 67.4 19.7 36.9 2.54 Reynolds Number Low Limit: 95851 Viscosity Density Flow Rate K cP 1.009 1.008 1.008 1.008 1.008 1.008 1.008 1.008 1.008 1.009 1.008 1.009 1.008 1.008 1.007 1.007 1.007 1.007 1.010 1.010 lb/ft3 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 62.31 GPM 2692.78 2653.94 2432.93 2442.91 2009.60 2018.65 1679.69 1689.70 1353.36 1352.01 1048.52 1047.05 827.35 829.84 513.85 507.30 398.49 406.78 304.88 309.76 0.5586 0.5596 0.5588 0.5585 0.5598 0.5597 0.5601 0.5615 0.5594 0.5594 0.5595 0.5588 0.5608 0.5576 0.5590 0.5610 0.5578 0.5575 0.5565 0.5544 5-13 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Rosemount Boulder, Colorado Flow Lab Test Date: December 19, 2000 Pipe I.D.: 8.006-in (203.4 mm) Blockage: 16.57% Kpub: 0.5589 Sensor Size: 2 Fluid: Water Sensor Serial Number: Fl-163 Nominal Pipe Size: 3-in. Schedule 40 0.5800 0.5750 0.5700 K 0.5650 0.5600 0.5550 0.5500 Kpub +/- 0.75% Kpub 0.5450 Reynolds Number low limit 0.5400 1.0E+04 1.0E+05 1.0E+06 Pipe Reynolds Num ber 5-14 1.0E+07 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Table 5-7. Rosemount Boulder, Colorado Flow Lab, Water. Data Pipe Point Reynolds Number Number Differential Velocity Pressure Temperature 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 ft/sec. 16.86 16.88 15.50 15.56 12.81 12.85 10.69 10.76 8.61 8.65 6.65 6.67 5.27 5.29 3.28 3.28 2.53 2.62 1.94 1.98 1.39 1.41 1.02E + 06 1.02E + 06 9.37E + 05 9.40E + 05 7.74E + 05 7.76E + 05 6.46E + 05 6.50E + 05 5.20E + 05 5.22E + 05 4.02E + 05 4.03E + 05 3.19E + 05 3.20E + 05 1.98E + 05 1.98E + 05 1.53E + 05 1.59E + 05 1.17E + 05 1.19E + 05 8.40E + 04 8.51E + 04 in Water 168.772 169.030 142.682 144.054 97.615 98.035 67.498 68.786 44.210 44.141 26.214 26.242 16.480 16.649 6.340 6.348 3.806 4.047 2.242 2.345 1.178 1.214 Pressure °F °C psig bar 66.4 19.11 23.4 1.61 66.4 19.11 23.4 1.61 66.4 19.11 24.9 1.72 66.4 19.11 24.9 1.72 66.4 19.11 27.7 1.91 66.4 19.11 27.6 1.90 66.4 19.11 29.6 2.04 66.4 19.11 29.5 2.03 66.4 19.11 32.1 2.21 66.4 19.11 32.0 2.21 66.4 19.11 34.5 2.38 66.4 19.11 34.4 2.37 66.4 19.11 36.3 2.50 66.4 19.11 36.3 2.50 66.5 19.12 38.2 2.63 66.5 19.12 38.2 2.63 66.6 19.22 39.1 2.70 66.5 19.12 39.0 2.69 66.4 19.11 37.7 2.60 66.4 19.11 37.6 2.60 66.5 19.12 38.8 2.68 66.5 19.12 38.9 2.68 Reynolds Number Low Limit: 96035 Viscosity Density Flow Rate K cP 1.024 1.024 1.024 1.024 1.024 1.024 1.024 1.024 1.024 1.025 1.024 1.024 1.024 1.024 1.022 1.023 1.022 1.022 1.024 1.024 1.023 1.023 lb/ft3 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 GPM 2645.00 2648.52 2431.94 2441.24 2010.45 2016.53 1677.80 1688.54 1350.52 1357.34 1043.95 1047.24 827.58 830.79 514.15 514.42 397.26 410.80 304.33 309.91 217.69 220.67 0.5605 0.5608 0.5604 0.5599 0.5601 0.5606 0.5622 0.5604 0.5591 0.5624 0.5613 0.5627 0.5612 0.5605 0.5621 0.5620 0.5605 0.5621 0.5594 0.5571 0.5522 0.5513 5-15 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Rosemount Boulder, Colorado Flow Lab Sensor Size: 2 Fluid: Water Sensor Serial Number: Fl-169 Nominal Pipe Size: 10-in. Schedule 40 Test Date: December 14, 2000 Pipe I.D.: 10.020-in (254.5 mm) Blockage: 13.24% Kpub: 0.5766 0.5900 0.5850 0.5800 K 0.5750 0.5700 0.5650 Kpub 0.5600 +/- 0.75% Kpub Reynolds Number low limit 0.5550 0.5500 1.0E+04 1.0E+05 Pipe Reynolds Num ber 5-16 1.0E+06 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Table 5-8. Rosemount Boulder, Colorado Flow Lab, Water. Data Pipe Point Reynolds Number Number Differential Velocity Pressure Temperature 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ft/sec. 12.42 12.47 11.78 11.88 10.97 11.04 9.72 9.71 8.61 8.64 6.90 6.90 5.26 5.25 3.65 3.66 2.41 2.49 1.96 1.93 9.40E + 05 9.44E + 05 8.92E + 05 9.00E + 05 8.31E + 05 8.36E + 05 7.36E + 05 7.35E + 05 6.52E + 05 6.55E + 05 5.23E + 05 5.23E + 05 3.99E + 05 3.98E + 05 2.76E + 05 2.77E + 05 1.83E + 05 1.89E + 05 1.49E + 05 1.47E + 05 in Water 86.257 86.908 77.591 79.133 67.272 67.803 52.897 52.731 41.499 41.433 26.152 26.481 15.470 15.417 7.493 7.518 3.242 3.453 2.153 2.090 Pressure °F °C psig bar 66.5 19.17 19.7 1.36 66.5 19.17 19.6 1.35 66.5 19.17 21.1 1.45 66.5 19.17 20.9 1.44 66.5 19.17 22.7 1.57 66.5 19.17 22.6 1.56 66.5 19.17 25.0 1.72 66.5 19.17 25.1 1.73 66.5 19.17 26.8 1.85 66.5 19.17 26.8 1.85 66.5 19.17 29.4 2.03 66.5 19.17 29.4 2.03 66.5 19.17 32.4 2.23 66.5 19.17 32.4 2.23 66.6 19.22 35.8 2.47 66.6 19.22 35.8 2.47 66.6 19.22 37.7 2.60 66.6 19.22 37.6 2.59 66.7 19.28 38.4 2.65 66.7 19.28 38.4 2.65 Reynolds Number Low Limit: 120202 Viscosity Density Flow Rate K cP 1.023 1.023 1.023 1.023 1.023 1.023 1.023 1.023 1.023 1.023 1.023 1.023 1.022 1.023 1.022 1.022 1.021 1.021 1.020 1.020 lb/ft3 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 62.32 GPM 3053.31 3065.38 2895.02 2920.24 2697.62 2714.69 2389.81 2386.74 2115.39 2124.83 1696.60 1696.31 1293.20 1290.32 896.62 898.83 593.42 610.98 481.46 474.56 0.5777 0.5778 0.5775 0.5768 0.5779 0.5793 0.5774 0.5775 0.5770 0.5800 0.5829 0.5792 0.5777 0.5774 0.5756 0.5760 0.5791 0.5777 0.5766 0.5767 5-17 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: SwRI Flow Lab and Rosemount Boulder, Colorado Flow Lab Sensor Size: 2 Fluid: Natural gas (400 psi) and Water Sensor Serial Number: Fl-178 Nominal Pipe Size: 8-in. Schedule 80 Test Date: August 20, 2002 (SwRI), August 12, 2002 (DSI) Pipe I.D.: 7.591-in (192.8 mm) Blockage: 17.70% Kpub: 0.5527 0.5650 0.5600 K 0.5550 0.5500 0.5450 Kpub 0.5400 +/- 0.75% Kpub 0.5350 0.5300 1.0E+05 1.0E+06 Pipe Reynolds Number 5-18 1.0E+07 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Table 5-9. SwRI Flow Labs, Natural Gas (400 psi) File Pressure Temperature Density 000 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 psia 399.2381 399.2067 399.1785 401.0847 401.0365 401.0253 399.3239 399.3395 399.3772 398.9396 398.9114 398.8833 399.3192 399.2472 399.1706 399.5884 399.414 399.2506 398.4257 398.424 398.4658 °F 70.36406 70.32793 70.35466 70.26102 70.26235 70.27148 70.3362 70.2757 70.27707 70.29922 70.32668 70.27533 70.55387 70.64496 70.67073 70.81895 70.77697 70.66026 69.58176 69.60608 69.5973 DP lb/ft3 1.264664 1.264664 1.264492 1.271108 1.270862 1.270798 1.264849 1.265077 1.265199 1.263531 1.263357 1.263412 1.263538 1.263034 1.262704 1.263728 1.263284 1.263075 1.263432 1.263355 1.263521 in H2O 66.712 66.68185 66.67262 56.3852 56.38691 56.31914 37.65638 37.74814 37.72615 19.68531 19.68902 19.6594 7.45387 7.45405 7.45083 1.05499 1.05756 1.05486 1.82996 1.8346 1.83347 Re D K 7612648 7612393 7611555 7013626 7012511 7012143 5720938 5721538 5722033 4132344 4131817 4131944 2544265 2542988 2542013 958885 958396 958057 1265740 1265675 1265838 0.55186 0.55194 0.55197 0.55166 0.55161 0.55193 0.55183 0.55112 0.55131 0.55145 0.55138 0.55176 0.55195 0.55184 0.55184 0.55309 0.55219 0.55264 0.55333 0.55264 0.55284 Gas Exp. Factor Probe Width Mass Flow 0.99949 0.99949 0.99949 0.99957 0.99957 0.99957 0.99971 0.99971 0.99971 0.99985 0.99985 0.99985 0.99994 0.99994 0.99994 0.99999 0.99999 0.99999 0.99999 0.99999 0.99999 in. 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 lb/s 29.10727 29.10464 29.10245 26.81987 26.81553 26.81443 21.8737 21.87411 21.87617 15.79815 15.7967 15.79594 9.731082 9.727386 9.723914 3.669006 3.666819 3.664815 4.833638 4.833563 4.83415 Table 5-10. Rosemount Boulder, Colorado Flow Lab, Water. Data Pipe Point Reynolds Number Number Differential Velocity Pressure Temperature Pressure 1 2 3 4 5 6 7 8 9 10 11 12 13 14 ft/sec. 18.798 18.766 17.563 17.356 14.359 14.399 11.946 11.987 9.534 9.608 7.364 7.442 5.827 5.873 psig 23.4 23.4 24.7 24.8 27.6 27.6 29.7 29.7 32.1 32.0 34.4 34.3 36.2 36.2 1.10E + 06 1.10E + 06 1.03E + 06 1.02E + 06 8.46E + 05 8.50E + 05 7.05E + 05 7.08E + 05 5.63E + 05 5.67E + 05 4.35E + 05 4.40E + 05 3.44E + 05 3.47E + 05 in Water 218.205 217.799 189.676 185.657 127.131 128.115 88.169 88.495 56.159 56.961 33.437 34.197 20.989 21.365 °F 67.9 68.2 68.3 68.4 68.5 68.6 68.6 68.6 68.6 68.6 68.7 68.7 68.7 68.7 °C 19.9 20.1 20.2 20.2 20.3 20.3 20.3 20.3 20.3 20.3 20.4 20.4 20.4 20.4 bar 1.61 1.61 1.70 1.71 1.90 1.90 2.05 2.05 2.21 2.21 2.37 2.36 2.50 2.50 Viscosity Density Flow Rate K cP 1.003 0.999 0.998 0.997 0.995 0.994 0.994 0.994 0.993 0.993 0.993 0.993 0.992 0.992 lb/ft3 62.31 62.31 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 GPM 2652.10 2647.54 2477.85 2448.66 2025.88 2031.52 1685.45 1691.21 1345.12 1355.48 1038.89 1049.99 822.03 828.55 0.5496 0.5492 0.5507 0.5501 05500 0.5494 0.5494 0.5503 0.5494 0.5498 0.5499 0.5496 0.5492 0.5487 5-19 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: SwRI Flow Labs and Rosemount Boulder, Colorado Flow Lab Sensor Size: 2 Fluid: Natural gas (400 psi) and Water Sensor Serial Number: Fl-179 Nominal Pipe Size: 8-in. Schedule 80 Test Date: August 20, 2002 (SwRI), August 12, 2002 (DSI) Pipe I.D.: 7.591-in (192.8 mm) Blockage: 17.70% Kpub: 0.5527 0.5700 0.5650 0.5600 K 0.5550 0.5500 0.5450 Kpub 0.5400 +/- 0.75% Kpub 0.5350 0.5300 1.0E+05 1.0E+06 Pipe Reynolds Number 5-20 1.0E+07 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Table 5-11. SwRI Flow Labs, Natural Gas (400 psi) File Pressure Temperature Density 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 psia 400.5934 400.5734 400.5566 400.1057 400.0123 400.0015 400.3373 400.269 400.1888 399.6013 399.5592 399.5333 399.5284 399.3698 399.2254 398.3805 398.196 398.0698 399.5883 399.4414 399.3669 °F 70.09192 70.11051 70.02399 70.14067 70.13284 70.0372 70.21033 70.10329 69.96667 69.87253 69.84549 69.77977 70.37971 70.32362 70.17006 69.89757 69.68668 69.56982 69.26618 69.1862 69.1327 DP lb/ft3 1.26894 1.268819 1.269014 1.267159 1.266849 1.267091 1.267706 1.267769 1.267898 1.266207 1.266144 1.266249 1.26449 1.264122 1.264083 1.262096 1.262089 1.262005 1.267972 1.267713 1.267599 in H2O 67.19104 67.15411 67.15976 56.44205 56.37616 56.36834 37.88483 37.9004 37.90305 19.74952 19.76687 19.73404 7.5027 7.48151 7.46435 1.83461 1.83028 1.8311 1.06446 1.06426 1.06372 Re D K 7636204 7634966 7635645 6991771 6989717 6990797 5730654 5730493 5731232 4137256 4137037 4137651 2542949 2541621 2540924 1263339 1263176 1262935 958785 958549 958345 0.55056 0.55067 0.55058 0.55035 0.55057 0.55056 0.55046 0.55023 0.55014 0.55034 0.55006 0.55052 0.54953 0.55004 0.5504 0.55212 0.55252 0.5522 0.54841 0.54831 0.54831 Gas Exp. Factor Probe Width Mass Flow 0.99949 0.99949 0.99949 0.99957 0.99957 0.99957 0.99971 0.99971 0.99971 0.99985 0.99985 0.99985 0.99994 0.99994 0.99994 0.99999 0.99999 0.99999 0.99999 0.99999 0.99999 in. 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 lb/s 29.19194 29.18791 29.18677 26.72838 26.71984 26.72022 21.91022 21.90594 21.90417 15.80868 15.80713 15.80791 9.723809 9.717724 9.712693 4.826624 4.824399 4.822573 3.660332 3.658928 3.657825 Table 5-12. Rosemount Boulder, Colorado Flow Lab, Water. Data Pipe Point Reynolds Number Number Differential Velocity Pressure Temperature Pressure 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 ft/sec. 18.731 18.783 17.333 17.353 14.353 14.362 11.936 11.983 9.567 9.576 7.383 7.410 5.826 5.853 3.662 3.691 psig 23.4 23.3 24.8 24.7 27.5 27.5 29.6 29.6 32.0 32.0 34.4 34.3 36.2 36.1 37.8 37.8 1.09E + 06 1.10E + 06 1.01E + 06 1.02E + 06 8.41E + 05 8.43E + 05 7.02E + 05 7.05E + 05 5.64E + 05 5.65E + 05 4.36E + 05 4.37E + 05 3.44E + 05 3.46E + 05 2.17E + 05 2.18E + 05 in Water 217.392 218.619 186.289 186.452 126.967 128.085 88.252 88.378 56.423 56.368 33.529 33.805 20.874 21.162 8.351 8.474 °F 67.5 67.8 67.9 68.0 68.1 68.2 68.3 68.4 68.5 68.6 68.6 68.6 68.7 68.6 68.7 68.7 °C 19.7 19.9 19.9 20.0 20.1 20.1 20.2 20.2 20.3 20.3 20.3 2.3 20.4 20.3 20.4 2.4 bar 1.61 1.61 1.71 1.70 1.90 1.90 2.04 2.04 2.21 2.21 2.37 2.36 2.50 2.49 2.61 2.61 Viscosity Density Flow Rate K cP 1.008 1.005 1.004 1.002 1.001 0.999 0.998 0.997 0.995 0.994 0.993 0.994 0.993 0.993 0.992 0.992 lb/ft3 62.31 62.31 62.31 62.31 62.31 62.31 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 GPM 2642.59 2649.95 2445.36 2448.23 2025.02 2026.28 1683.93 1690.66 1349.74 1351.00 1041.66 1045.43 821.93 825.71 516.64 520.75 0.5487 0.5486 0.5485 0.5489 0.5501 0.5481 0.5487 0.5505 0.5500 0.5508 0.5507 0.5504 0.5507 0.5494 0.5472 0.5476 5-21 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: SwRI Flow Labs Sensor Size: 2 Fluid: Natural gas (400 psi) Sensor Serial Number: Fl-180 Nominal Pipe Size: 6-in. Schedule 40 Test Date: August 20, 2002 Pipe I.D.: 6.059-in (153.9 mm) Blockage: 22.17% Kpub: 0.5257 0.5400 0.5350 0.5300 K 0.5250 0.5200 0.5150 Kpub 0.5100 +/- 0.75% Kpub 0.5050 0.5000 1.0E+06 1.0E+07 Pipe Reynolds Num ber 5-22 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Table 5-13. SwRI Flow Labs, Natural Gas (400 psi) File Pressure Temperature Density 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 psia 402.2264 402.2249 402.2003 401.3388 401.324 401.2841 400.6831 400.6703 400.6707 399.7075 399.6934 399.7024 398.9556 398.9794 398.9846 399.77 399.5529 399.2911 °F 69.78825 69.78545 69.78291 69.80605 69.81554 69.82552 69.95078 69.78475 69.83695 69.59795 69.57008 69.64079 69.13239 69.18728 69.26121 70.43433 70.87255 71.17313 lb/ft3 1.275065 1.275068 1.274993 1.272042 1.271968 1.271805 1.269517 1.269958 1.26979 1.267281 1.267315 1.26714 1.266025 1.265945 1.265675 1.264888 1.262895 1.261155 DP in H2O 183.1904 183.1652 183.2267 127.3168 127.2576 127.3385 81.63868 81.62017 81.6921 38.66373 38.6696 38.67824 15.53221 15.53455 15.55648 2.89146 2.8918 2.89022 Re D 9572419 9571925 9571523 7973641 7973870 7973102 6380432 6382775 6382281 4391472 4391638 4391271 2790645 2790692 2790406 1202055 1200207 1198483 K 0.52261 0.52262 0.52252 0.52258 0.52273 0.52255 0.52263 0.52267 0.52247 0.52268 0.52263 0.52262 0.52382 0.52385 0.52354 0.52419 0.52408 0.52404 Gas Exp. Factor Probe Width Mass Flow 0.99888 0.99888 0.99888 0.99922 0.99922 0.99922 0.9995 0.9995 0.9995 0.99976 0.99976 0.99976 0.9999 0.9999 0.9999 0.99998 0.99998 0.99998 in. 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 lb/s 29.20216 29.20053 29.19909 24.3224 24.32337 24.32124 19.46474 19.46715 19.46712 13.38829 13.38823 13.3885 8.501159 8.50201 8.502069 3.669187 3.665766 3.66196 5-23 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: SwRI Flow Labs Sensor Size: 2 Fluid: Natural gas (400 psi) Sensor Serial Number: Fl-181 Nominal Pipe Size: 6-in. Schedule 40 Test Date: August 21, 2002 Pipe I.D.: 6.059-in (153.9 mm) Blockage: 22.17% Kpub: 0.5257 0.5400 0.5350 0.5300 K 0.5250 0.5200 0.5150 Kpub 0.5100 +/- 0.75% Kpub 0.5050 0.5000 1.0E+06 1.0E+07 Pipe Reynolds Num ber 5-24 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Table 5-14. SwRI Flow Labs, Natural Gas (400 psi) File Pressure Temperature Density 000 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 psia 402.1318 402.1396 402.1459 401.4724 401.4468 401.4389 400.8714 400.8555 400.7853 403.3504 403.3576 403.3601 399.7687 399.7375 399.6968 399.6242 399.5218 399.4349 °F 70.22332 70.23601 70.20831 70.12239 70.15948 70.22195 70.22616 70.18685 70.12505 69.91417 69.91348 69.92616 70.02187 69.97731 69.91672 70.38922 70.62444 70.80791 lb/ft3 1.273031 1.27302 1.273122 1.271117 1.270924 1.270708 1.268799 1.26886 1.268806 1.278022 1.278048 1.278038 1.266071 1.266096 1.266136 1.264523 1.2635 1.26268 DP in H2O 182.2164 182.2515 182.2548 126.7637 126.7554 126.6872 81.33865 81.21389 81.24182 38.91319 38.9336 38.91548 15.51266 15.51172 15.49649 2.87541 2.87366 2.88596 Re D 9567169 9565927 9566150 7974761 7973279 7971112 6382353 6382646 6382324 4431173 4431585 4431612 2794122 2794003 2793974 1202830 1201883 1201079 K 0.52445 0.52435 0.52431 0.52422 0.5242 0.52429 0.52412 0.5245 0.52434 0.524 0.52391 0.52405 0.52552 0.52547 0.52567 0.52601 0.52614 0.52497 Gas Exp. Factor Probe Width Mass Flow 0.99888 0.99888 0.99888 0.99922 0.99922 0.99922 0.9995 0.9995 0.9995 0.99976 0.99976 0.99976 0.9999 0.9999 0.9999 0.99998 0.99998 0.99998 in. 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 1.062 lb/s 29.20375 29.20053 29.20007 24.33706 24.33376 24.32932 19.47868 19.47842 19.4755 13.52238 13.52364 13.52397 8.523624 8.522671 8.521782 3.671184 3.669494 3.66797 5-25 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 485 SENSOR SIZE 3 Test Laboratory: Alden Research Labs Sensor Size: 3 Fluid: Water Sensor Serial Number: Fl-307 Nominal Pipe Size: 24-in. Schedule Standard Test Date: July 25, 2001 Pipe I.D.: 23.340-in (592.8 mm) Blockage: 10.47% Kpub: 0.5845 0.6000 0.5950 0.5900 K 0.5850 0.5800 0.5750 Kpub 0.5700 +/- 0.75% Kpub Reynolds Number low limit 0.5650 0.5600 1.0E+05 1.0E+06 Pipe Reynolds Num ber 5-26 1.0E+07 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Table 5-15. Alden Research Labs, Water. Run Number Line Temp Air Temp Net Weight 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 °F 107 107 107 107 107 107 107 107 107 107 108 108 108 108 108 °F 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 lb 97008 96976 97022 96403 96375 96306 95867 96041 95863 95307 95388 95370 94838 94929 94885 °C 41.5 41.5 41.5 41.5 41.5 41.5 41.5 41.5 41.5 41.5 42.2 42.2 42.2 42.2 42.2 °C 35 35 35 35 35 35 35 35 35 35 35 35 35 35 35 Run Duration mA Square Root Output Flow kg seconds GPM 44002 40.024 16.7074 17592 43987 40.017 16.7274 17590 44008 40.093 16.6368 17565 43727 44.924 15.2151 15576 43715 44.969 15.2099 15557 43684 44.876 15.2076 15578 43485 57.724 12.6661 12056 43564 57.810 12.6539 12060 43483 57.746 12.6681 12051 43231 77.732 19.7422 8901 43267 77.879 19.6499 8892 43259 77.865 19.7187 8892 43017 126.452 13.5666 5445 43059 126.555 13.6116 5446 43039 126.432 13.5905 5449 Reynolds Number Low Limit: 303906 Differential Head Pipe Reynold Number K Inch W/C 94.790 95.088 93.741 73.852 73.784 73.754 44.124 44.000 44.144 24.253 23.970 24.180 8.969 9.053 9.014 x 106 3.6997 3.7028 3.6976 3.2855 3.2813 3.2890 2.5479 2.5513 2.5521 1.8868 1.8868 1.8887 1.1577 1.1579 1.1596 0.5829 0.5820 0.5853 0.5848 0.5844 0.5852 0.5855 0.5867 0.5852 0.5832 0.5859 0.5834 0.5867 0.5837 0.5855 5-27 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 585 SENSOR SIZE 11 Table 5-16. Flow Coefficient Data Summary: Sensor 11 Calibration Number LAB Pipe Size Spool No ID Blockage Calibrated Average K Published K 18243 18249 18964 19057 19219 19232 19766 07DSC-0009 DSI DSI DSI DSI DSI DSI DSI CEESI-CO 4" S40 4" S40 10" S40 8" S40 6" S40 6" S40 4" S80 4" S40 DS-879 DS-879 DS-878 DS-859 DS-1003 DS-1003 DS-889 DS-879 4.055 4.055 10.083 7.990 6.123 6.123 3.800 4.055 25.1% 25.1% 10.1% 12.7% 16.6% 16.6% 26.8% 25.1% 0.5623 0.5625 0.6398 0.6186 0.6090 0.6090 0.5496 0.5621 0.5633 0.5633 0.6351 0.6238 0.6063 0.6063 0.5539 0.5633 5-28 Reference Manual 00821-0100-4809, Rev BA July 2009 Rosemount Annubar Flow Test Data Book Test Laboratory: Rosemount Boulder, Colorado Flow Lab Sensor Size: 11 Fluid: Water Sensor Serial Number: 585-11-1 Pipe Size: 4-in. S40 Test Spool: DS-879 Test Date: September 28, 2007 Test Pipe Dia.: 4.055-in (103 mm) Blockage: 25.12% Kpub: 0.5633 Average K: 0.5618 Calibration ID: 18243 5-29 Reference Manual Rosemount Annubar Flow Test Data Book Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 5-30 Flow Rate GPM 707.7 693.5 647.0 655.3 602.7 603.2 556.4 546.7 500.9 497.4 454.1 451.8 399.5 399.2 349.4 350.4 298.5 301.3 248.8 249.6 704.7 692.6 645.8 654.0 600.4 609.1 556.3 545.4 502.3 491.9 450.1 447.6 398.1 411.7 348.1 349.6 298.0 300.7 248.9 249.3 m3/h 160.7 157.5 146.9 148.8 136.9 137.0 126.4 124.2 113.8 113.0 103.1 102.6 90.7 90.7 79.3 79.6 67.8 68.4 56.5 56.7 160.0 157.3 146.7 148.5 136.4 138.3 126.4 123.9 114.1 111.7 102.2 101.7 90.4 93.5 79.1 79.4 67.7 68.3 56.5 56.6 Differential Pressure inH2O 181.95 175.69 152.07 156.14 132.19 132.56 113.12 108.96 91.46 90.12 75.19 74.31 58.12 58.06 44.53 44.85 32.37 33.07 22.49 22.65 180.36 174.37 151.80 155.60 130.97 134.66 113.48 108.99 92.11 88.35 74.22 73.39 57.93 62.06 44.37 44.64 32.42 32.98 22.55 22.64 mbar 452.4 436.8 378.1 388.2 328.7 329.6 281.3 270.9 227.4 224.1 187.0 184.8 144.5 144.3 110.7 111.5 80.5 82.2 55.9 56.3 448.5 433.5 377.4 386.9 325.6 334.8 282.2 271.0 229.0 229.0 184.5 182.5 144.0 154.3 110.3 111.0 80.6 82.0 56.1 56.3 00821-0100-4809, Rev BA July 2009 Fluid Temperature °F 71.1 71.2 71.2 71.2 71.2 71.2 71.2 71.2 71.2 71.2 71.2 71.1 71.1 71.1 71.1 71.1 71.1 71.1 71.1 71.1 71.0 71.0 71.0 71.0 71.0 71.0 71.0 71.0 71.0 71.0 71.0 71.0 71.0 71.0 71.0 71.0 71.0 71.0 71.0 71.0 °C 21.7 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.8 21.7 21.7 21.7 21.7 21.7 21.7 21.7 21.7 21.7 21.6 21.6 21.6 21.6 21.6 21.7 21.7 21.7 21.7 21.7 21.6 21.7 21.7 21.7 21.7 21.7 21.7 21.7 21.7 21.6 Fluid Pressure psig 37.1 37.2 37.4 37.3 37.6 37.6 37.8 37.8 38.0 38.0 38.2 37.7 38.3 38.1 38.0 37.6 38.1 37.6 37.9 38.1 37.1 37.1 37.3 37.3 37.5 37.5 37.8 37.8 38.0 38.1 37.5 38.0 37.7 37.9 37.9 37.5 37.9 37.7 38.2 37.6 bar g 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 Fluid Viscosity Fluid Density cP 0.961 0.960 0.959 0.960 0.959 0.960 0.960 0.960 0.960 0.960 0.960 0.961 0.961 0.961 0.961 0.961 0.961 0.962 0.962 0.961 0.963 0.963 0.963 0.963 0.963 0.963 0.963 0.963 0.962 0.962 0.963 0.963 0.963 0.963 0.963 0.963 0.962 0.963 0.962 0.963 lb/ft3 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 kg/m3 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 Fluid Velocity Pipe Reynolds Number K ft/s 17.58 17.23 16.07 16.28 14.97 14.99 13.82 13.58 12.44 12.36 11.28 11.23 9.92 9.92 8.68 8.71 7.41 7.48 6.18 6.20 17.51 17.21 16.04 16.25 14.92 15.13 13.82 13.55 12.48 12.22 11.18 11.12 9.89 10.23 8.65 8.68 7.40 7.47 6.18 6.19 3.85E+05 3.78E+05 3.53E+05 3.57E+05 3.28E+05 3.29E+05 3.03E+05 2.98E+05 2.73E+05 2.71E+05 2.47E+05 2.46E+05 2.17E+05 2.17E+05 1.90E+05 1.91E+05 1.62E+05 1.64E+05 1.35E+05 1.36E+05 3.83E+05 3.76E+05 3.51E+05 3.55E+05 3.26E+05 3.31E+05 3.02E+05 2.96E+05 2.73E+05 2.67E+05 2.44E+05 2.43E+05 2.16E+05 2.24E+05 1.89E+05 1.90E+05 1.62E+05 1.63E+05 1.35E+05 1.35E+05 0.5627 0.5611 0.5627 0.5625 0.5623 0.5619 0.5611 0.5617 0.5618 0.5620 0.5617 0.5622 0.5621 0.5620 0.5615 0.5612 0.5627 0.5618 0.5629 0.5627 0.5628 0.5626 0.5622 0.5623 0.5627 0.5630 0.5601 0.5603 0.5613 0.5613 0.5604 0.5604 0.5609 0.5605 0.5605 0.5612 0.5614 0.5616 0.5621 0.5621 m/s 5.36 5.25 4.90 4.96 4.56 4.57 4.21 4.14 3.79 3.77 3.44 3.42 3.03 3.02 2.65 2.65 2.26 2.28 1.88 1.89 5.34 5.24 4.89 4.95 4.55 4.61 4.21 4.13 3.80 3.72 3.41 3.39 3.01 3.12 2.64 2.65 2.26 2.28 1.88 1.89 Reference Manual 00821-0100-4809, Rev BA July 2009 Rosemount Annubar Flow Test Data Book Test Laboratory: Rosemount - Boulder, Colorado Flow Lab Sensor Size: 11 Fluid: Water Sensor Serial Number: 585-11-1 Pipe Size: 4-in. S40 Test Spool: DS-879 Test Date: September 29, 2007 Test Pipe Dia.: 4.055-in (103 mm) Blockage: 25.12% Kpub: 0.5633 Average K: 0.5621 Calibration ID: 18249 5-31 Reference Manual Rosemount Annubar Flow Test Data Book Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5-32 Flow Rate GPM 706.1 644.0 601.7 556.9 506.2 454.8 396.7 349.1 299.4 249.4 710.7 644.9 601.0 557.0 505.2 455.2 396.8 349.7 298.6 249.5 m3/h 160.4 146.3 136.7 126.5 115.0 103.3 90.1 79.3 68.0 56.6 161.4 146.5 136.5 126.5 114.7 103.4 90.1 79.4 67.8 56.7 Differential Pressure inH2O 182.33 151.28 131.94 113.29 93.37 75.51 57.50 44.44 32.60 22.58 183.35 151.37 131.39 113.13 93.09 75.45 57.22 44.42 32.36 22.59 mbar 453.3 376.1 328.1 281.7 232.2 187.7 143.0 110.5 81.0 56.2 455.9 376.4 326.7 281.3 231.5 187.6 142.3 110.4 80.5 56.2 00821-0100-4809, Rev BA July 2009 Fluid Temperature °F 70.7 70.7 70.7 70.7 70.7 70.7 70.6 70.7 70.7 70.7 70.6 70.6 70.6 70.6 70.6 70.6 70.6 70.6 70.6 70.7 °C 21.5 21.5 21.5 21.5 21.5 21.5 21.4 21.5 21.5 21.5 21.4 21.4 21.4 21.4 21.4 21.4 21.4 21.4 21.4 21.5 Fluid Pressure psig 37.1 37.4 37.5 37.7 37.9 38.2 37.6 37.8 38.4 37.6 37.1 37.4 37.6 37.7 37.7 38.2 38.0 37.8 37.7 38.6 bar g 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.7 Fluid Viscosity Fluid Density cP 0.967 0.967 0.967 0.966 0.967 0.966 0.967 0.967 0.966 0.967 0.968 0.968 0.968 0.967 0.968 0.967 0.967 0.968 0.967 0.967 lb/ft3 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 kg/m3 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 Fluid Velocity Pipe Reynolds Number K ft/s 17.54 16.00 14.95 13.84 12.58 11.30 9.85 8.67 7.44 6.19 17.66 16.02 14.93 13.84 12.55 11.31 9.86 8.69 7.42 6.20 3.82E+05 3.48E+05 3.26E+05 3.01E+05 2.74E+05 2.46E+05 2.15E+05 1.89E+05 1.62E+05 1.35E+05 3.84E+05 3.49E+05 3.25E+05 3.01E+05 2.73E+05 2.46E+05 2.14E+05 1.89E+05 1.61E+05 1.35E+05 0.5609 0.5616 0.5619 0.5612 0.5619 0.5614 0.5611 0.5617 0.5624 0.5628 0.5630 0.5622 0.5624 0.5617 0.5616 0.5621 0.5626 0.5628 0.5630 0.5631 m/s 5.35 4.88 4.56 4.22 3.83 3.44 3.00 2.64 2.27 1.89 5.38 4.88 4.55 4.22 3.83 3.45 3.00 2.65 2.26 1.89 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Rosemount - Boulder, Colorado Flow Lab Test Date: January 7, 2008 Test Pipe Dia.: 10.083-in (256 mm) Blockage: 10.10% Kpub: 0.6351 Average K: 0.6390 Calibration ID: 18964 Sensor Size: 11 Fluid: Water Sensor Serial Number: 585-11-7 Pipe Size: 10-in. S40 Test Spool: DS-878 Data Point Number 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 Flow Rate GPM 499.4 1006.8 1503.3 2003.2 2491.7 3025.1 1003.8 1503.5 2008.6 2499.7 3030.2 497.8 1007.3 1500.0 2008.9 2499.6 3025.7 m3/h 113.4 228.7 341.4 455.0 565.9 687.1 228.0 341.5 456.2 567.7 688.2 113.1 228.8 340.7 456.3 567.7 687.2 Differential Pressure inH2O 1.86 7.41 16.57 29.57 45.89 67.75 7.37 16.60 29.80 46.27 67.72 1.81 7.45 16.55 29.77 46.16 67.76 mbar 4.6 18.4 41.2 73.5 114.1 168.4 18.3 41.3 74.1 115.0 168.4 4.5 18.5 41.2 74.0 114.8 168.5 Fluid Temperature °F 71.5 71.5 71.5 71.6 71.7 71.9 72.2 72.2 72.3 72.4 72.5 72.8 72.8 72.9 73.0 73.1 73.2 °C 21.9 21.9 22.0 22.0 22.1 22.1 22.3 22.3 22.4 22.4 22.5 22.7 22.7 22.7 22.8 22.8 22.9 Fluid Pressure psig 37.6 34.6 31.4 28.6 25.5 21.1 34.9 31.4 28.6 25.4 21.1 38.0 34.8 31.3 28.5 25.3 21.1 bar g 2.6 2.4 2.2 2.0 1.8 1.5 2.4 2.2 2.0 1.8 1.5 2.6 2.4 2.2 2.0 1.7 1.5 Fluid Viscosity Fluid Density cP 0.957 0.957 0.956 0.955 0.953 0.951 0.948 0.947 0.946 0.945 0.943 0.939 0.940 0.939 0.938 0.937 0.935 lb/ft3 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.27 62.27 62.27 62.27 62.27 62.27 kg/m3 997.7 997.7 997.7 997.7 997.7 997.6 997.6 997.6 997.6 997.6 997.6 997.5 997.5 997.5 997.5 997.5 997.5 Fluid Velocity Pipe Reynolds Number K ft/s 2.01 4.05 6.04 8.05 10.01 12.15 4.03 6.04 8.07 10.04 12.18 2.00 4.05 6.03 8.07 10.04 12.16 1.10E+05 2.21E+05 3.31E+05 4.41E+05 5.50E+05 6.69E+05 2.23E+05 3.34E+05 4.46E+05 5.56E+05 6.76E+05 1.11E+05 2.25E+05 3.36E+05 4.50E+05 5.61E+05 6.80E+05 0.6355 0.6417 0.6405 0.6390 0.6380 0.6375 0.6412 0.6401 0.6382 0.6374 0.6387 0.6411 0.6403 0.6395 0.6386 0.6381 0.6375 m/s 0.61 1.23 1.84 2.45 3.05 3.70 1.23 1.84 2.46 3.06 3.71 0.61 1.23 1.84 2.46 3.06 3.71 5-33 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Rosemount - Boulder, Colorado Flow Lab Test Date: January 17, 2008 Test Pipe Dia.: 7.990-in (203 mm) Blockage: 12.75% Kpub: 0.6238 Average K: 0.6186 Calibration ID: 19057 Sensor Size: 11 Fluid: Water Sensor Serial Number: 585-11-6 Pipe Size: 8-in. S40 Test Spool: DS-859 Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 5-34 Flow Rate GPM 2661.5 2537.2 2011.1 1510.7 1000.0 499.0 2659.6 2535.7 2012.7 1502.7 1003.2 500.5 2661.4 2532.4 2009.3 1505.2 1001.9 497.4 m3/h 604.5 576.3 456.8 343.1 227.1 113.3 604.1 575.9 457.1 341.3 227.9 113.7 604.4 575.2 456.3 341.9 227.6 113.0 Differential Pressure inH2O 141.50 128.89 80.71 45.59 19.79 4.95 141.10 128.79 80.60 44.89 19.72 4.95 141.99 128.47 80.82 45.13 20.07 4.91 mbar 351.8 320.5 200.7 113.3 49.2 12.3 350.8 320.2 200.4 111.6 49.0 12.3 353.0 319.4 200.9 112.2 49.9 12.2 Fluid Temperature °F 78.5 78.5 78.5 78.5 78.5 78.6 78.4 78.4 78.4 78.4 78.4 78.5 78.3 78.3 78.3 78.3 78.3 78.4 °C 25.8 25.8 25.8 25.8 25.8 25.9 25.8 25.8 25.8 25.8 25.8 25.8 25.7 25.7 25.7 25.7 25.7 25.8 Fluid Pressure psig 24.2 25.0 28.4 31.1 34.8 37.9 24.2 25.0 28.4 30.9 34.7 37.9 24.1 25.0 28.4 30.9 34.5 37.9 bar g 1.7 1.7 2.0 2.1 2.4 2.6 1.7 1.7 2.0 2.1 2.4 2.6 1.7 1.7 2.0 2.1 2.4 2.6 Fluid Viscosity Fluid Density cP 0.874 0.874 0.874 0.874 0.874 0.873 0.875 0.875 0.875 0.875 0.874 0.874 0.876 0.876 0.876 0.876 0.875 0.874 lb/ft3 62.22 62.22 62.22 62.22 62.22 62.22 62.23 62.23 62.23 62.23 62.22 62.22 62.23 62.23 62.23 62.23 62.23 62.22 kg/m3 996.7 996.7 996.7 996.7 996.7 996.7 996.8 996.8 996.8 996.8 996.7 996.7 996.8 996.8 996.8 996.8 996.8 996.7 Fluid Velocity Pipe Reynolds Number K ft/s 17.03 16.23 12.87 9.67 6.40 3.19 17.02 16.23 12.88 9.62 6.42 3.20 17.03 16.20 12.86 9.63 6.41 3.18 8.07E+05 7.69E+05 6.10E+05 4.58E+05 3.03E+05 1.52E+05 8.06E+05 7.68E+05 6.10E+05 4.55E+05 3.04E+05 1.52E+05 8.05E+05 7.66E+05 6.08E+05 4.56E+05 3.03E+05 1.51E+05 0.6178 0.6171 0.6181 0.6178 0.6206 0.6191 0.6182 0.6170 0.6190 0.6192 0.6237 0.6209 0.6167 0.6169 0.6171 0.6187 0.6175 0.6200 m/s 5.19 4.95 3.92 2.95 1.95 0.97 5.19 4.95 3.93 2.93 1.96 0.98 5.19 4.94 3.92 2.94 1.95 0.97 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Rosemount - Boulder, Colorado Flow Lab Test Date: January 28, 2008 Test Pipe Dia.: 6.123-in (156 mm) Blockage: 16.64% Kpub: 0.6063 Average K: 0.6085 Calibration ID: 19219 Sensor Size: 11 Fluid: Water Sensor Serial Number: 585-11-5 Pipe Size: 6-in. S40 Test Spool: DS-1003 Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Flow Rate GPM 1791.3 1485.7 1201.6 902.8 594.4 298.9 1846.6 1482.4 1200.9 903.0 592.2 299.3 1849.0 1510.0 1201.7 900.9 595.3 299.2 m3/h 406.8 337.4 272.9 205.0 135.0 67.9 419.4 336.7 272.8 205.1 134.5 68.0 419.9 342.9 272.9 204.6 135.2 68.0 Differential Pressure inH2O 193.93 133.24 86.30 48.68 20.59 5.36 206.73 132.69 86.14 48.31 20.57 5.39 206.51 137.12 86.61 47.89 20.94 5.36 mbar 482.2 331.3 214.6 121.0 51.2 13.3 514.0 329.9 214.2 120.1 51.1 13.4 513.5 340.9 215.4 119.1 52.1 13.3 Fluid Temperature °F 70.7 70.7 70.7 70.7 70.8 70.8 70.6 70.6 70.6 70.7 70.7 70.8 70.6 70.6 70.6 70.6 70.7 70.7 °C 21.5 21.5 21.5 21.5 21.5 21.6 21.5 21.5 21.5 21.5 21.5 21.5 21.4 21.4 21.4 21.5 21.5 21.5 Fluid Pressure psig 29.5 31.2 32.9 35.2 37.3 38.0 28.7 30.9 32.3 34.9 37.1 37.9 28.6 30.3 32.6 35.1 37.2 38.2 bar g 2.0 2.2 2.3 2.4 2.6 2.6 2.0 2.1 2.2 2.4 2.6 2.6 2.0 2.1 2.2 2.4 2.6 2.6 Fluid Viscosity Fluid Density cP 0.966 0.966 0.966 0.966 0.965 0.964 0.967 0.967 0.967 0.967 0.966 0.965 0.968 0.968 0.968 0.967 0.967 0.966 lb/ft3 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 kg/m3 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 997.8 Fluid Velocity Pipe Reynolds Number K ft/s 19.52 16.19 13.09 9.84 6.48 3.26 20.12 16.15 13.09 9.84 6.45 3.26 20.15 16.45 13.09 9.82 6.49 3.26 6.42E+05 5.32E+05 4.31E+05 3.24E+05 2.13E+05 1.07E+05 6.61E+05 5.31E+05 4.30E+05 3.24E+05 2.12E+05 1.07E+05 6.62E+05 5.40E+05 4.30E+05 3.23E+05 2.13E+05 1.07E+05 0.6051 0.6055 0.6085 0.6087 0.6162 0.6076 0.6042 0.6054 0.6087 0.6112 0.6143 0.6065 0.6053 0.6066 0.6074 0.6125 0.6120 0.6082 m/s 5.95 4.93 3.99 3.00 1.97 0.99 6.13 4.92 3.99 3.00 1.97 0.99 6.14 5.01 3.99 2.99 1.98 0.99 5-35 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Rosemount - Boulder, Colorado Flow Lab Test Date: January 29, 2008 Test Pipe Dia.: 6.123-in (156 mm) Blockage: 16.64% Kpub: 0.6063 Average K: 0.6085 Calibration ID: 19232 Sensor Size: 11 Fluid: Water Sensor Serial Number: 585-11-5 Pipe Size: 6-in. S40 Test Spool: DS-1003 Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 5-36 Flow Rate GPM 1800.4 1485.4 1205.5 902.4 593.9 299.1 1833.1 1488.9 1200.6 903.0 596.1 299.6 1842.8 1488.0 1201.5 899.4 590.9 300.9 m3/h 408.9 337.4 273.8 204.9 134.9 67.9 416.3 338.2 272.7 205.1 135.4 68.1 418.5 338.0 272.9 204.3 134.2 68.3 Differential Pressure inH2O 196.67 132.27 86.97 48.46 20.77 5.38 202.34 133.54 86.20 48.30 20.94 5.36 206.15 133.62 85.99 47.97 20.69 5.38 mbar 489.0 328.9 216.2 120.5 51.7 13.4 503.1 332.0 214.3 120.1 52.1 13.3 512.6 332.2 213.8 119.3 51.4 13.4 Fluid Temperature °F 70.7 70.8 70.9 71.1 71.2 71.4 71.3 71.4 71.5 71.6 71.7 71.9 71.8 71.9 71.9 72.0 72.0 72.1 °C 21.5 21.6 21.6 21.7 21.8 21.9 21.8 21.9 21.9 22.0 22.1 22.2 22.1 22.1 22.2 22.2 22.2 22.3 Fluid Pressure psig 29.3 31.3 33.0 35.1 37.2 38.2 29.0 31.1 33.0 35.4 37.4 38.1 28.7 31.4 33.0 35.7 37.5 38.5 bar g 2.0 2.2 2.3 2.4 2.6 2.6 2.0 2.1 2.3 2.4 2.6 2.6 2.0 2.2 2.3 2.5 2.6 2.7 Fluid Viscosity Fluid Density cP 0.967 0.965 0.963 0.962 0.960 0.958 0.959 0.958 0.956 0.955 0.953 0.951 0.953 0.952 0.951 0.950 0.949 0.948 lb/ft3 62.29 62.29 62.29 62.29 62.29 62.28 62.29 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.28 kg/m3 997.8 997.8 997.8 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.6 997.7 997.6 997.6 997.6 997.6 997.6 Fluid Velocity Pipe Reynolds Number K ft/s 19.62 16.18 13.14 9.83 6.47 3.26 19.97 16.22 13.08 9.84 6.49 3.26 20.08 16.21 13.09 9.80 6.44 3.28 6.45E+05 5.33E+05 4.33E+05 3.25E+05 2.14E+05 1.08E+05 6.62E+05 5.38E+05 4.35E+05 3.28E+05 2.17E+05 1.09E+05 6.70E+05 5.41E+05 4.38E+05 3.28E+05 2.15E+05 1.10E+05 0.6039 0.6076 0.6081 0.6098 0.6130 0.6065 0.6062 0.6061 0.6083 0.6112 0.6128 0.6086 0.6037 0.6055 0.6095 0.6108 0.6110 0.6101 m/s 5.98 4.93 4.00 3.00 1.97 0.99 6.09 4.94 3.99 3.00 1.98 1.00 6.12 4.94 3.99 2.99 1.96 1.00 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Rosemount - Boulder, Colorado Flow Lab Test Date: March 27, 2008 Test Pipe Dia.: 3.800-in (97 mm) Blockage: 26.80% Kpub: 0.5539 Average K: 0.5500 Calibration ID: 19766 Sensor Size: 11 Fluid: Water Sensor Serial Number: 585-11-3 Pipe Size: 4-in. S80 Test Spool: DS-889 Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Flow Rate GPM 657.7 563.4 456.4 349.1 248.5 149.3 662.1 563.6 454.8 348.4 248.4 149.5 658.9 562.8 456.3 348.9 248.4 149.1 m3/h 149.4 127.9 103.7 79.3 56.4 33.9 150.4 128.0 103.3 79.1 56.4 34.0 149.7 127.8 103.6 79.2 56.4 33.9 Differential Pressure inH2O 213.14 157.18 103.02 60.07 30.40 10.92 216.23 157.14 102.15 59.90 30.51 10.94 214.65 156.57 102.86 60.38 30.45 10.89 mbar 530.0 390.8 256.2 149.4 75.6 27.2 537.6 390.7 254.0 148.9 75.9 27.2 533.7 389.3 255.8 150.1 75.7 27.1 Fluid Temperature °F 68.7 68.8 68.8 68.8 68.8 68.8 68.7 68.8 68.8 68.8 68.8 68.8 68.7 68.7 68.8 68.8 68.8 68.8 °C 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 20.4 Fluid Pressure psig 37.4 37.8 38.2 38.4 37.8 38.2 37.4 37.8 38.0 38.1 37.9 38.1 37.4 37.8 38.2 38.1 37.7 38.0 bar g 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.6 Fluid Viscosity Fluid Density cP 0.992 0.992 0.991 0.991 0.991 0.991 0.992 0.992 0.992 0.991 0.992 0.991 0.992 0.992 0.992 0.992 0.992 0.991 lb/ft3 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 kg/m3 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 Fluid Velocity Pipe Reynolds Number K ft/s 18.60 15.94 12.91 9.88 7.03 4.22 18.73 15.94 12.87 9.86 7.03 4.23 18.64 15.92 12.91 9.87 7.03 4.22 3.70E+05 3.17E+05 2.57E+05 1.97E+05 1.40E+05 8.41E+04 3.73E+05 3.17E+05 2.56E+05 1.96E+05 1.40E+05 8.42E+04 3.71E+05 3.17E+05 2.57E+05 1.96E+05 1.40E+05 8.39E+04 0.5502 0.5489 0.5493 0.5502 0.5505 0.5517 0.5500 0.5492 0.5496 0.5499 0.5494 0.5522 0.5494 0.5494 0.5495 0.5485 0.5498 0.5518 m/s 5.67 4.86 3.94 3.01 2.14 1.29 5.71 4.86 3.92 3.00 2.14 1.29 5.68 4.85 3.93 3.01 2.14 1.29 5-37 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: CEESI - Nunn, Colorado Test Date: April 7, 2008 Test Pipe Dia.: 4.055-in (103 mm) Blockage: 25.12% Kpub: 0.5633 Average K: 0.5628 Calibration ID: 07DSC-0009 Sensor Size: 11 Fluid: Air Sensor Serial Number: 585-11-1 Pipe Size: 4-in. S40 Test Spool: DS-879 Data Point Number 1 2 3 4 5 6 7 8 9 10 5-38 Flow Rate GPM 14.9 14.9 10.6 10.6 6.6 6.6 7.0 7.0 3.1 3.1 m3/h 6.8 6.8 4.8 4.8 3.0 3.0 3.2 3.2 1.4 1.4 Differential Pressure inH2O 162.88 163.09 81.96 81.97 31.63 31.46 36.69 36.71 7.10 7.10 mbar 405.0 405.5 203.8 203.8 78.7 78.2 91.2 91.3 17.7 17.7 Fluid Gas Exp. Temperature Fluid Pressure Factor Fluid Density °R 405.0 405.5 203.8 203.8 510.2 510.7 517.2 517.1 516.4 516.5 lb/ft3 1.61 1.61 1.61 1.61 1.60 1.60 1.58 1.58 1.58 1.58 °C 507.2 507.3 508.3 508.6 283.4 283.7 287.3 287.3 286.9 286.9 psia 281.8 281.8 282.4 282.6 283.4 283.7 287.3 287.3 286.9 286.9 bar a 299.0 299.0 299.0 299.0 299.0 299.0 299.0 299.0 299.0 299.0 0.999 0.999 0.999 0.999 1.000 1.000 1.000 1.000 1.000 1.000 kg/m3 25.8 25.8 25.7 25.7 25.6 25.6 25.3 25.3 25.3 25.3 Fluid Velocity ft/s 103.15 103.19 73.45 73.46 45.70 45.75 49.61 49.59 21.82 21.83 m/s 31.44 31.45 22.39 22.39 13.93 13.94 15.12 15.12 6.65 6.65 Pipe Reynolds Number K 4.84E+06 4.84E+06 3.43E+06 3.43E+06 2.12E+06 2.12E+06 2.24E+06 2.24E+06 9.89E+05 9.89E+05 0.5618 0.5616 0.5631 0.5631 0.5625 0.5644 0.5630 0.5628 0.5628 0.5632 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 585 SENSOR SIZE 22 Table 5-17. Flow Coefficient Data Summary: Sensor 22 Calibration Number LAB Pipe Size Spool No ID Blockage Calibrated Average K Published K 18248 18242 19413 19805 19807 19998 19999 08DSC-0002 DSI DSI DSI DSI DSI DSI DSI CEESI-CO 6" S40 6" S40 10" S40 10" S40 10" S40 5" S40 5" S40 8" S10 DS-897 DS-897 DS-878 DS-878 DS-878 DS-943 DS-943 DS-995 6.075 6.075 10.080 10.080 10.080 5.110 5.110 8.350 25.2% 25.2% 15.2% 15.2% 15.2% 29.9% 29.9% 18.3% 0.5550 0.5548 0.6115 0.6120 0.6124 0.5332 0.5332 0.5890 0.5569 0.5569 0.6091 0.6091 0.6091 0.5285 0.5285 0.5938 5-39 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Rosemount - Boulder, Colorado Flow Lab Sensor Size: 22 Fluid: Water Sensor Serial Number: 585-22-1 Pipe Size: 6-in. S80 Test Spool: DS-897 5-40 Test Date: September 28, 2007 Test Pipe Dia.: 6.075-in (154 mm) Blockage: 25.15% Kpub: 0.5569 Average K: 0.5544 Calibration ID: 18242 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 Flow Rate GPM 1591.2 1395.5 1194.3 1004.5 799.0 593.6 401.3 199.5 200.4 399.3 591.2 797.5 1005.5 1205.7 1415.9 1621.0 1579.4 1391.9 1195.7 1005.4 801.5 593.9 401.8 199.8 199.9 400.5 591.4 798.1 1003.6 1209.6 1412.5 1615.8 1592.8 1390.1 1201.2 1002.3 801.3 594.0 402.7 199.4 m3/h 361.4 316.9 271.2 228.2 181.5 134.8 91.1 45.3 45.5 90.7 134.3 181.1 228.4 273.8 321.6 368.2 358.7 316.1 271.6 228.4 182.0 134.9 91.3 45.4 45.4 91.0 134.3 181.3 227.9 274.7 320.8 367.0 361.8 315.7 272.8 227.6 182.0 134.9 91.5 45.3 Differential Pressure inH2O 189.70 146.50 106.83 75.20 47.38 26.07 11.88 2.89 2.90 11.81 25.85 47.32 75.18 108.60 150.57 196.87 186.95 145.27 107.04 75.29 47.79 26.31 11.90 2.90 2.92 11.85 26.00 47.65 75.10 109.66 149.09 196.30 190.48 144.61 107.66 74.82 47.80 26.45 11.95 2.89 mbar 471.7 364.2 265.6 187.0 117.8 64.8 29.5 7.2 7.2 29.4 64.3 117.7 186.9 270.0 374.4 489.5 464.8 361.2 266.1 187.2 118.8 65.4 29.6 7.2 7.3 29.5 64.6 118.5 186.7 272.6 370.7 488.1 473.6 359.6 267.7 186.0 118.8 65.8 29.7 7.2 Fluid Temperature °F 70.0 70.1 70.1 70.1 70.1 70.2 70.2 70.2 70.2 70.2 70.2 70.1 70.1 70.0 70.0 70.0 70.0 70.1 70.1 70.1 70.1 70.2 70.2 70.2 70.2 70.2 70.2 70.1 70.1 70.1 70.0 70.0 70.0 70.0 70.1 70.1 70.1 70.2 70.2 70.2 °C 21.1 21.1 21.2 21.1 21.2 21.2 21.2 21.2 21.2 21.2 21.2 21.2 21.1 21.1 21.1 21.1 21.1 21.1 21.2 21.2 21.2 21.2 21.2 21.2 21.2 21.2 21.2 21.2 21.2 21.1 21.1 21.1 21.1 21.1 21.1 21.2 21.2 21.2 21.2 21.2 Fluid Pressure psig 30.8 32.1 33.5 34.1 36.6 37.6 38.1 38.1 38.2 38.0 37.2 36.0 34.2 32.8 31.5 30.2 30.4 31.5 32.8 34.1 36.3 37.4 38.2 38.1 38.2 38.3 37.2 35.9 34.1 32.8 31.9 30.5 30.6 32.0 33.2 34.1 36.3 37.4 38.3 38.0 bar g 2.1 2.2 2.3 2.3 2.5 2.6 2.6 2.6 2.6 2.6 2.6 2.5 2.4 2.3 2.2 2.1 2.1 2.2 2.3 2.4 2.5 2.6 2.6 2.6 2.6 2.6 2.6 2.5 2.4 2.3 2.2 2.1 2.1 2.2 2.3 2.4 2.5 2.6 2.6 2.6 Fluid Viscosity Fluid Density cP 0.975 0.975 0.974 0.974 0.974 0.973 0.973 0.972 0.972 0.973 0.973 0.974 0.974 0.975 0.975 0.975 0.975 0.975 0.974 0.974 0.973 0.973 0.972 0.972 0.972 0.972 0.973 0.974 0.974 0.975 0.975 0.975 0.975 0.975 0.974 0.974 0.974 0.973 0.972 0.973 lb/ft3 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.30 62.30 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.30 62.30 62.30 62.29 62.29 62.29 62.29 62.29 62.29 62.29 kg/m3 997.9 997.9 997.9 997.9 997.9 997.9 997.8 997.8 997.8 997.8 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.8 997.8 997.8 997.8 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.8 997.8 Fluid Velocity Pipe Reynolds Number K ft/s 17.61 15.45 13.22 11.12 8.84 6.57 4.44 2.21 2.22 4.42 6.54 8.83 11.13 13.35 15.67 17.94 17.48 15.41 13.24 11.13 8.87 6.57 4.45 2.21 2.21 4.43 6.55 8.83 11.11 13.39 15.63 17.89 17.63 15.39 13.30 11.09 8.87 6.58 4.46 2.21 5.70E+05 5.00E+05 4.28E+05 3.60E+05 2.86E+05 2.13E+05 1.44E+05 7.16E+04 7.20E+04 1.43E+05 2.12E+05 2.86E+05 3.60E+05 4.32E+05 5.07E+05 5.80E+05 5.66E+05 4.99E+05 4.28E+05 3.60E+05 2.87E+05 2.13E+05 1.44E+05 7.17E+04 7.18E+04 1.44E+05 2.12E+05 2.86E+05 3.60E+05 4.33E+05 5.06E+05 5.78E+05 5.70E+05 4.98E+05 4.30E+05 3.59E+05 2.87E+05 2.13E+05 1.45E+05 7.16E+04 0.5521 0.5510 0.5522 0.5536 0.5547 0.5556 0.5563 0.5606 0.5622 0.5552 0.5556 0.5540 0.5542 0.5529 0.5515 0.5521 0.5521 0.5519 0.5523 0.5537 0.5541 0.5533 0.5566 0.5610 0.5593 0.5559 0.5542 0.5525 0.5535 0.5520 0.5529 0.5512 0.5515 0.5525 0.5532 0.5538 0.5539 0.5520 0.5567 0.5605 m/s 5.37 4.71 4.03 3.39 2.70 2.00 1.35 0.67 0.68 1.35 1.99 2.69 3.39 4.07 4.78 5.47 5.33 4.70 4.03 3.39 2.70 2.00 1.36 0.67 0.67 1.35 2.00 2.69 3.39 4.08 4.77 5.45 5.37 4.69 4.05 3.38 2.70 2.00 1.36 0.67 5-41 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Rosemount - Boulder, Colorado Flow Lab Test Date: September 29, 2007 Test Pipe Dia.: 6.075-in (154 mm) Blockage: 25.15% Kpub: 0.5569 Average K: 0.5545 Calibration ID: 18248 Sensor Size: 22 Fluid: Water Sensor Serial Number: 585-22-1 Pipe Size: 6-in. S80 Test Spool: DS-897 Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 5-42 Flow Rate GPM 1604.1 1391.4 1194.5 1004.8 800.4 595.6 399.5 199.0 1617.7 1393.0 1195.4 1005.2 801.2 594.0 398.9 199.2 m3/h 364.3 316.0 271.3 228.2 181.8 135.3 90.7 45.2 367.4 316.4 271.5 228.3 182.0 134.9 90.6 45.2 Differential Pressure inH2O 193.20 144.90 106.77 75.14 47.57 26.36 11.85 2.86 196.58 145.83 107.04 75.18 47.73 26.11 11.73 2.87 mbar 480.4 360.3 265.5 186.8 118.3 65.5 29.5 7.1 196.58 145.83 107.04 75.18 47.73 26.11 11.73 2.87 Fluid Temperature °F 70.7 70.8 70.9 71.1 71.2 71.2 71.3 71.3 488.8 362.6 266.1 186.9 118.7 64.9 29.2 7.1 °C 21.5 21.6 21.6 21.7 21.8 21.8 21.8 21.8 21.7 21.7 21.7 21.7 21.7 21.7 21.7 21.8 Fluid Pressure psig 30.4 31.8 33.1 34.7 36.5 37.7 38.0 38.3 30.4 31.9 33.5 34.6 36.6 37.6 37.7 38.2 bar g 2.1 2.2 2.3 2.4 2.5 2.6 2.6 2.6 2.1 2.2 2.3 2.4 2.5 2.6 2.6 2.6 Fluid Viscosity Fluid Density cP 0.966 0.964 0.963 0.962 0.960 0.959 0.959 0.959 0.962 0.962 0.962 0.962 0.961 0.961 0.961 0.960 lb/ft3 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 62.29 kg/m3 997.8 997.8 997.8 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 Fluid Velocity Pipe Reynolds Number K ft/s 17.76 15.40 13.22 11.12 8.86 6.59 4.42 2.20 17.91 15.42 13.23 11.13 8.87 6.57 4.41 2.20 5.80E+05 5.04E+05 4.33E+05 3.65E+05 2.91E+05 2.17E+05 1.45E+05 7.24E+04 5.87E+05 5.06E+05 4.34E+05 3.65E+05 2.91E+05 2.16E+05 1.45E+05 7.24E+04 0.5515 0.5524 0.5524 0.5539 0.5546 0.5544 0.5545 0.5619 0.5514 0.5512 0.5521 0.5540 0.5542 0.5555 0.5565 0.5618 m/s 5.41 4.69 4.03 3.39 2.70 2.01 1.35 0.67 5.46 4.70 4.03 3.39 2.70 2.00 1.35 0.67 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Rosemount - Boulder, Colorado Flow Lab Test Date: February 20, 2008 Test Pipe Dia.: 10.080-in (256 mm) Blockage: 15.16% Kpub: 0.6091 Average K: 0.6110 Calibration ID: 19413 Sensor Size: 22 Fluid: Water Sensor Serial Number: 585-22-5 Pipe Size: 10-in. S40 Test Spool: DS-878 Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Flow Rate GPM 3009.6 2504.8 2006.9 1503.2 998.3 496.3 3010.1 2503.8 2010.6 1504.6 1002.3 498.7 3013.8 2501.5 2008.5 1503.8 997.4 498.8 m3/h 683.5 568.9 455.8 341.4 226.7 112.7 683.6 568.7 456.6 341.7 227.6 113.3 684.5 568.1 456.2 341.5 226.5 113.3 Differential Pressure inH2O 73.99 51.03 32.32 17.97 8.02 1.96 74.27 50.69 32.68 18.33 8.12 1.98 74.33 50.83 32.75 18.09 7.91 2.02 mbar 184.0 126.9 80.4 44.7 19.9 4.9 184.7 126.0 81.3 45.6 20.2 4.9 184.8 126.4 81.4 45.0 19.7 5.0 Fluid Temperature °F 71.0 71.1 71.2 71.3 71.4 71.6 71.6 71.7 71.8 71.9 72.0 72.1 71.9 71.9 71.9 71.9 72.0 72.1 °C 21.7 21.7 21.8 21.8 21.9 22.0 22.0 22.0 22.1 22.2 22.2 22.3 22.2 22.2 22.2 22.2 22.2 22.3 Fluid Pressure psig 21.1 25.2 28.4 30.8 34.4 37.7 20.7 25.3 28.5 31.2 34.8 37.9 21.2 25.1 28.5 31.2 34.3 37.9 bar g 1.5 1.7 2.0 2.1 2.4 2.6 1.4 1.7 2.0 2.2 2.4 2.6 1.5 1.7 2.0 2.2 2.4 2.6 Fluid Viscosity Fluid Density cP 0.963 0.961 0.960 0.959 0.957 0.955 0.955 0.954 0.953 0.951 0.950 0.949 0.951 0.951 0.951 0.951 0.950 0.949 lb/ft3 62.29 62.29 62.29 62.29 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.28 62.28 kg/m3 997.8 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.7 997.6 997.6 997.6 997.6 997.6 997.6 997.6 997.6 997.6 Fluid Velocity Pipe Reynolds Number K ft/s 12.10 10.07 8.07 6.04 4.01 2.00 12.10 10.07 8.08 6.05 4.03 2.00 12.12 10.06 8.07 6.05 4.01 2.01 6.58E+05 5.48E+05 4.40E+05 3.30E+05 2.19E+05 1.09E+05 6.63E+05 5.52E+05 4.44E+05 3.33E+05 2.22E+05 1.11E+05 6.66E+05 5.53E+05 4.44E+05 3.33E+05 2.21E+05 1.11E+05 0.6073 0.6086 0.6127 0.6154 0.6119 0.6158 0.6062 0.6104 0.6105 0.6099 0.6104 0.6143 0.6067 0.6089 0.6091 0.6137 0.6156 0.6098 m/s 3.69 3.07 2.46 1.84 1.22 0.61 3.69 3.07 2.46 1.84 1.23 0.61 3.69 3.07 2.46 1.84 1.22 0.61 5-43 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Rosemount - Boulder, Colorado Flow Lab Test Date: April 1, 2008 Test Pipe Dia.: 10.080-in (256 mm) Blockage: 15.16% Kpub: 0.6091 Average K: 0.6118 Calibration ID: 19805 Sensor Size: 22 Fluid: Water Sensor Serial Number: 585-22-5 Pipe Size: 10-in. S40 Test Spool: DS-878 Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5-44 Flow Rate GPM 3019.5 2582.8 2015.3 1506.0 1001.7 499.6 3010.2 2576.1 2012.2 1504.4 1002.6 499.2 3012.7 2583.7 2012.4 1503.4 1000.1 499.7 3011.3 m3/h 685.8 586.6 457.7 342.0 227.5 113.5 683.7 585.1 457.0 341.7 227.7 113.4 684.2 586.8 457.1 341.4 227.1 113.5 683.9 Differential Pressure inH2O 74.35 54.09 33.11 18.29 8.10 1.97 73.67 53.72 32.58 18.08 8.08 1.99 73.21 53.63 32.86 18.17 7.98 1.98 73.51 mbar 184.9 134.5 82.3 45.5 20.1 4.9 183.2 133.6 81.0 44.9 20.1 5.0 182.0 133.4 81.7 45.2 19.8 4.9 182.8 Fluid Temperature °F 68.9 68.9 68.9 68.9 69.0 69.1 68.9 68.9 68.9 69.0 69.0 69.1 68.9 69.0 69.0 69.0 69.1 69.2 69.0 °C 20.5 20.5 20.5 20.5 20.6 20.6 20.5 20.5 20.5 20.5 20.6 20.6 20.5 20.5 20.5 20.6 20.6 20.6 20.5 Fluid Pressure psig 21.1 24.7 28.5 31.3 34.8 37.9 21.4 24.9 28.6 31.3 35.0 38.1 21.2 24.9 28.6 31.4 35.0 38.1 21.1 bar g 1.5 1.7 2.0 2.2 2.4 2.6 1.5 1.7 2.0 2.2 2.4 2.6 1.5 1.7 2.0 2.2 2.4 2.6 1.5 Fluid Viscosity Fluid Density cP 0.990 0.990 0.990 0.989 0.988 0.987 0.990 0.989 0.989 0.989 0.988 0.987 0.989 0.989 0.989 0.988 0.988 0.986 0.989 lb/ft3 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 kg/m3 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 Fluid Velocity Pipe Reynolds Number K ft/s 12.14 10.38 8.10 6.05 4.03 2.01 12.10 10.36 8.09 6.05 4.03 2.01 12.11 10.39 8.09 6.04 4.02 2.01 12.11 6.42E+05 5.49E+05 4.28E+05 3.20E+05 2.13E+05 1.06E+05 6.40E+05 5.48E+05 4.28E+05 3.20E+05 2.14E+05 1.06E+05 6.41E+05 5.50E+05 4.28E+05 3.20E+05 2.13E+05 1.07E+05 6.41E+05 0.6079 0.6096 0.6080 0.6113 0.6109 0.6174 0.6088 0.6102 0.6120 0.6142 0.6122 0.6140 0.6112 0.6124 0.6095 0.6122 0.6146 0.6158 0.6097 m/s 3.70 3.17 2.47 1.85 1.23 0.61 3.69 3.16 2.47 1.84 1.23 0.61 3.69 3.17 2.47 1.84 1.23 0.61 3.69 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Rosemount - Boulder, Colorado Flow Lab Test Date: April 1, 2008 Test Pipe Dia.: 10.080-in (256 mm) Blockage: 15.16% Kpub: 0.6091 Average K: 0.6120 Calibration ID: 19807 Sensor Size: 22 Fluid: Water Sensor Serial Number: 585-22-5 Pipe Size: 10-in. S40 Test Spool: DS-878 Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Flow Rate GPM 3040.9 2570.9 2010.1 1501.7 1003.2 495.4 3008.1 2579.4 2009.0 1505.2 999.9 497.6 3011.3 2578.5 2011.3 1506.5 1003.2 497.6 m3/h 690.7 583.9 456.5 341.1 227.8 112.5 683.2 585.8 456.3 341.9 227.1 113.0 683.9 585.6 456.8 342.2 227.8 113.0 Differential Pressure inH2O 75.43 53.89 32.65 17.99 8.06 1.93 73.65 53.73 32.50 18.16 8.02 1.99 73.50 53.83 32.60 18.27 8.20 1.93 mbar 187.6 134.0 81.2 44.7 20.0 4.8 183.1 133.6 80.8 45.2 19.9 4.9 182.8 133.8 81.1 45.4 20.4 4.8 Fluid Temperature °F 69.4 69.5 69.6 69.7 69.8 69.8 69.7 69.7 69.7 69.7 69.8 69.8 69.7 69.7 69.7 69.7 69.7 69.9 °C 20.8 20.8 20.9 21.0 21.0 21.0 20.9 20.9 20.9 20.9 21.0 21.0 20.9 20.9 20.9 20.9 21.0 21.0 Fluid Pressure psig 21.3 25.3 28.9 31.7 35.4 38.1 21.5 25.1 28.9 31.7 35.1 38.4 21.6 25.2 28.9 31.6 34.6 38.3 bar g 1.5 1.7 2.0 2.2 2.4 2.6 1.5 1.7 2.0 2.2 2.4 2.6 1.5 1.7 2.0 2.2 2.4 2.6 Fluid Viscosity Fluid Density cP 0.983 0.982 0.980 0.979 0.978 0.978 0.980 0.980 0.980 0.979 0.979 0.977 0.980 0.980 0.980 0.979 0.979 0.977 lb/ft3 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 kg/m3 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 Fluid Velocity Pipe Reynolds Number K ft/s 12.23 10.34 8.08 6.04 4.03 1.99 12.09 10.37 8.08 6.05 4.02 2.00 12.11 10.37 8.09 6.06 4.03 2.00 6.51E+05 5.51E+05 4.31E+05 3.23E+05 2.16E+05 1.07E+05 6.46E+05 5.54E+05 4.31E+05 3.23E+05 2.15E+05 1.07E+05 6.47E+05 5.54E+05 4.32E+05 3.24E+05 2.16E+05 1.07E+05 0.6078 0.6079 0.6106 0.6145 0.6135 0.6186 0.6085 0.6108 0.6117 0.6131 0.6129 0.6130 0.6097 0.6101 0.6115 0.6117 0.6083 0.6216 m/s 3.73 3.15 2.46 1.84 1.23 0.61 3.69 3.16 2.46 1.84 1.23 0.61 3.69 3.16 2.46 1.85 1.23 0.61 5-45 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Rosemount - Boulder, Colorado Flow Lab Test Date: April 18, 2008 Test Pipe Dia.: 5.100-in (130 mm) Blockage: 29.96% Kpub: 0.5281 Average K: 0.5328 Calibration ID: 19998 Sensor Size: 22 Fluid: Water Sensor Serial Number: 585-22-2 Pipe Size: 5-in. S40 Test Spool: DS-943 Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 5-46 Flow Rate GPM 1211.1 1008.7 813.5 592.9 404.3 199.4 1219.1 1013.9 804.9 587.6 403.0 199.3 1215.8 1002.5 803.7 591.8 404.2 199.2 m3/h 275.1 229.1 184.8 134.7 91.8 45.3 276.9 230.3 182.8 133.5 91.5 45.3 276.1 227.7 182.5 134.4 91.8 45.2 Differential Pressure inH2O 237.71 164.93 107.37 56.91 26.61 6.39 240.43 166.20 105.03 56.00 26.31 6.44 239.05 162.78 104.93 56.97 26.53 6.40 mbar 591.0 410.1 267.0 141.5 66.2 15.9 597.8 413.2 261.1 139.2 65.4 16.0 594.4 404.7 260.9 141.6 66.0 15.9 Fluid Temperature °F 68.7 68.8 68.9 69.0 69.0 69.1 69.2 69.3 69.3 69.4 69.5 69.6 69.6 69.6 69.6 69.6 69.6 69.6 °C 20.4 20.4 20.5 20.5 20.6 20.6 20.7 20.7 20.7 20.8 20.8 20.9 20.9 20.9 20.9 20.9 20.9 20.9 Fluid Pressure psig 34.7 36.9 38.4 38.8 38.2 37.7 36.1 37.5 37.5 38.8 37.8 38.3 36.6 37.3 37.9 39.1 38.2 37.8 bar g 2.4 2.5 2.6 2.7 2.6 2.6 2.5 2.6 2.6 2.7 2.6 2.6 2.5 2.6 2.6 2.7 2.6 2.6 Fluid Viscosity Fluid Density cP 0.993 0.991 0.990 0.989 0.988 0.987 0.986 0.985 0.984 0.983 0.982 0.981 0.980 0.980 0.980 0.980 0.980 0.981 lb/ft3 62.31 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 kg/m3 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 998.0 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 Fluid Velocity Pipe Reynolds Number K ft/s 19.02 15.84 12.78 9.31 6.35 3.13 19.15 15.92 12.64 9.23 6.33 3.13 19.09 15.74 12.62 9.29 6.35 3.13 5.07E+05 4.23E+05 3.42E+05 2.49E+05 1.70E+05 8.40E+04 5.14E+05 4.28E+05 3.40E+05 2.49E+05 1.71E+05 8.45E+04 5.16E+05 4.25E+05 3.41E+05 2.51E+05 1.71E+05 8.45E+04 0.5327 0.5327 0.5324 0.5330 0.5314 0.5350 0.5331 0.5333 0.5326 0.5325 0.5328 0.5325 0.5332 0.5328 0.5321 0.5317 0.5322 0.5340 m/s 5.80 4.83 3.89 2.84 1.94 0.95 5.84 4.85 3.85 2.81 1.93 0.95 5.82 4.80 3.85 2.83 1.93 0.95 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Rosemount - Boulder, Colorado Flow Lab Test Date: April 19, 2008 Test Pipe Dia.: 5.100-in (130 mm) Blockage: 29.96% Kpub: 0.5281 Average K: 0.5328 Calibration ID: 19999 Sensor Size: 22 Fluid: Water Sensor Serial Number: 585-22-2 Pipe Size: 5-in. S40 Test Spool: DS-943 Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Flow Rate GPM 1199.6 1011.0 806.1 591.7 404.3 199.6 1214.1 1006.8 802.9 587.5 404.0 198.3 1215.4 1010.3 805.0 590.7 402.9 198.8 m3/h 272.4 229.6 183.1 134.4 91.8 45.3 275.8 228.7 182.3 133.4 91.8 45.0 276.1 229.5 182.8 134.2 91.5 45.2 Differential Pressure inH2O 232.60 165.68 105.33 56.73 26.56 6.43 238.28 164.33 104.62 56.06 26.47 6.36 239.22 165.62 105.20 56.66 26.25 6.38 mbar 578.3 412.0 261.9 141.1 66.0 16.0 592.5 408.6 260.1 139.4 65.8 15.8 594.8 411.8 261.6 140.9 65.3 15.9 Fluid Temperature °F 69.2 69.3 69.4 69.4 69.5 69.6 69.7 69.6 69.7 69.7 69.6 69.6 69.6 69.6 69.6 69.6 69.6 69.6 °C 20.6 20.7 20.8 20.8 20.9 20.9 20.9 20.9 20.9 20.9 20.9 20.9 20.9 20.9 20.9 20.9 20.9 20.9 Fluid Pressure psig 34.5 36.6 37.0 38.7 39.1 37.8 37.7 36.7 38.4 38.7 37.7 38.0 37.1 36.7 37.5 39.0 37.7 38.0 bar g 2.4 2.5 2.6 2.7 2.7 2.6 2.6 2.5 2.6 2.7 2.6 2.6 2.6 2.5 2.6 2.7 2.6 2.6 Fluid Viscosity Fluid Density cP 0.986 0.985 0.984 0.983 0.981 0.981 0.980 0.980 0.980 0.980 0.980 0.980 0.980 0.980 0.980 0.980 0.980 0.980 lb/ft3 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 62.30 kg/m3 998.0 998.0 998.0 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 997.9 Fluid Velocity Pipe Reynolds Number K ft/s 18.84 15.88 12.66 9.29 6.35 3.13 19.07 15.81 12.61 9.23 6.35 3.11 19.09 15.87 12.64 9.28 6.33 3.12 5.06E+05 4.27E+05 3.41E+05 2.50E+05 1.71E+05 8.46E+04 5.15E+05 4.27E+05 3.41E+05 2.49E+05 1.71E+05 8.41E+04 5.16E+05 4.29E+05 3.41E+05 2.51E+05 1.71E+05 8.44E+04 0.5334 0.5326 0.5326 0.5327 0.5319 0.5338 0.5334 0.5326 0.5323 0.5321 0.5326 0.5335 0.5329 0.5323 0.5322 0.5321 0.5333 0.5337 m/s 5.74 4.84 3.86 2.83 1.94 0.96 5.81 4.82 3.84 2.81 1.93 0.95 5.82 4.84 3.85 2.83 1.93 0.95 5-47 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: CEESI - Nunn, Colorado Test Date: July 18, 2008 Test Pipe Dia.: 8.350-in (212 mm) Blockage: 18.30% Kpub: 0.5938 Average K: 0.5862 Calibration ID: 08DSC-0002 Sensor Size: 22 Fluid: Air Sensor Serial Number: 585-22-5 Pipe Size: 8-in. S10 Test Spool: DS-995 Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 5-48 Flow Rate GPM 36.3 36.3 30.4 32.4 30.0 26.5 28.5 22.8 22.6 20.9 17.4 13.6 13.4 11.4 7.3 7.3 m3/h 16.4 16.5 13.8 14.7 13.6 12.0 12.9 10.3 10.3 9.5 7.9 6.2 6.1 5.2 3.3 3.3 Differential Pressure inH2O 52.81 52.55 35.29 40.95 34.68 26.46 30.88 19.87 19.52 16.57 11.57 7.02 6.90 4.97 2.04 2.05 mbar 131.3 130.7 87.7 101.8 86.2 65.8 76.8 49.4 48.5 41.2 28.8 17.4 17.1 12.4 5.1 5.1 Fluid Temperature °F 523.0 523.0 523.0 523.0 523.0 523.0 523.0 523.0 523.0 523.0 523.0 523.0 523.0 523.0 523.0 523.0 °C 290.6 290.6 290.6 290.6 290.6 290.6 290.6 290.6 290.6 290.6 290.6 290.6 290.6 290.6 290.6 290.6 Fluid Fluid Pressure Viscosity Fluid Density psig 301.5 301.5 301.5 301.5 301.5 301.5 301.5 301.5 301.5 301.5 301.5 301.5 301.5 301.5 301.5 301.5 bar g 20.8 20.8 20.8 20.8 20.8 20.8 20.8 20.8 20.8 20.8 20.8 20.8 20.8 20.8 20.8 20.8 cP 0.999 0.999 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 lb/ft3 1.51 1.52 1.59 1.55 1.56 1.61 1.56 1.58 1.59 1.58 1.59 1.60 1.56 1.56 1.55 1.55 kg/m3 24.2 24.3 25.4 24.8 25.0 25.7 25.1 25.3 25.5 25.3 25.4 25.7 25.0 25.0 24.8 24.8 Fluid Velocity Pipe Reynolds Number K ft/s 62.99 62.94 50.41 55.07 50.58 43.34 47.88 37.90 37.40 34.84 28.86 22.35 22.48 19.18 12.37 12.38 5.49E+06 5.50E+06 4.63E+06 4.96E+06 4.63E+06 4.09E+06 4.42E+06 3.54E+06 3.52E+06 3.26E+06 2.71E+06 2.12E+06 2.05E+06 1.75E+06 1.11E+06 1.11E+06 0.5840 0.5854 0.5845 0.5855 0.5867 0.5843 0.5897 0.5847 0.5842 0.5887 0.5845 0.5847 0.5855 0.5879 0.5896 0.5887 m/s 19.20 19.18 15.37 16.79 15.42 13.21 14.59 11.55 11.40 10.62 8.80 6.81 6.85 5.85 3.77 3.77 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 585 SENSOR SIZE 44 Table 5-18. Flow Coefficient Data Summary: Sensor 22 Calibration Number LAB Pipe Size Spool No ID Blockage Calibrated Average K Published K 1864a 1864b 08DSC-0010 1926 UTAH UTAH CEESI-IA UTAH 16" STD 24" STD 12" STD 12" STD N/A N/A DS-1040 DS-1040 15.300 23.326 12.066 12.066 19.0% 12.4% 24.1% 24.1% 0.5900 0.6148 0.5516 0.5489 0.5844 0.6187 0.5544 0.5544 5-49 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Utah Water Research Lab - Logan, Utah Test Date: May 27, 2008 Test Pipe Dia.: 15.300-in (389 mm) Blockage: 18.97% Kpub: 0.5844 Average K: 0.5900 Calibration ID: 01864a Sensor Size: 44 Fluid: Water Sensor Serial Number: 585-44-1 Pipe Size: 16-in. STD Test Spool: UWRL Spool Data Point Number 1 2 3 4 5 6 7 8 9 10 5-50 Flow Rate GPM 1738.0 3186.3 4229.9 5652.9 6905.3 8159.3 9122.4 10168.5 11246.8 12170.8 m3/h 394.7 723.7 960.7 1283.9 1568.3 1853.1 2071.9 2309.5 2554.4 2764.2 Differential Pressure inH2O 4.95 16.47 28.94 52.25 77.50 108.13 136.72 170.63 208.28 242.66 mbar 12.3 41.0 72.0 129.9 192.7 268.9 339.9 424.3 517.9 603.3 Fluid Temperatur e °F 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 °C 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 Fluid Pressure psig 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 bar g 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 Fluid Viscosity Fluid Density cP 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 lb/ft3 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 kg/m3 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 Fluid Velocity Pipe Reynolds Number K ft/s 3.03 5.56 7.38 9.86 12.05 14.24 15.92 17.74 19.63 21.24 2.55E+05 4.67E+05 6.21E+05 8.29E+05 1.01E+06 1.20E+06 1.34E+06 1.49E+06 1.65E+06 1.69E+06 0.5892 0.5921 0.5930 0.5898 0.5916 0.5918 0.5884 0.5871 0.5877 0.5893 m/s 0.92 1.69 2.25 3.01 3.67 4.34 4.85 5.41 5.98 6.47 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Utah Water Research Lab - Logan, Utah Test Date: May 27, 2008 Test Pipe Dia.: 23.326-in (592 mm) Blockage: 12.45% Kpub: 0.6187 Average K: 0.6148 Calibration ID: 1864b Sensor Size: 44 Fluid: Water Sensor Serial Number: 585-44-1 Pipe Size: 24-in. STD Test Spool: UWRL Spool Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Flow Rate GPM 4384.4 7083.8 9984.7 12646.9 15200.4 18149.3 20767.7 23873.1 26484.9 29116.7 20753.4 23959.8 12787.2 7217.6 3 m /h 995.8 1608.9 2267.7 2872.4 3452.3 4122.1 4716.8 5422.1 6015.3 6613.0 4713.5 5441.7 2904.2 1639.3 Differential Pressure inH2O 5.25 13.84 27.25 44.06 64.84 92.50 120.63 161.72 197.19 237.97 120.94 162.03 45.31 14.34 mbar 13.1 34.4 67.8 109.6 161.2 230.0 299.9 402.1 490.3 591.7 300.7 402.9 112.7 112.7 Fluid Temperature °F 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 °C 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 Fluid Pressure psig 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 bar g 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 Fluid Viscosity Fluid Density cP 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 3 lb/ft 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 3 kg/m 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 Pipe Reynolds Fluid Velocity Number ft/s 3.29 5.32 7.50 9.49 11.41 13.63 15.59 17.92 19.88 21.86 15.58 17.99 9.60 5.42 m/s 1.00 1.62 2.28 2.89 3.48 4.15 4.75 5.46 6.06 6.66 4.75 5.48 2.93 1.65 2.55E+05 4.67E+05 6.21E+05 8.29E+05 1.01E+06 1.20E+06 1.34E+06 1.49E+06 1.65E+06 1.65E+06 1.65E+06 1.65E+06 1.65E+06 6.57E+05 K 0.6209 0.6179 0.6206 0.6182 0.6125 0.6123 0.6135 0.6091 0.6120 0.6124 0.6123 0.6108 0.6164 0.6184 5-51 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: Utah Water Research Lab - Logan, Utah Test Date: November 12, 2008 Test Pipe Dia.: 12.060-in (306 mm) Blockage: 24.07% Kpub: 0.5543 Average K: 0.5496 Calibration ID: 1926 Sensor Size: 44 Fluid: Water Sensor Serial Number: 585-44-1 Pipe Size: 12-in. STD Test Spool: DS-1040 Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5-52 Flow Rate GPM 2089.9 2090.9 2410.4 2416.4 2912.1 2909.6 3298.6 3297.4 3724.0 3717.9 4342.0 4348.1 4658.3 4660.7 6228.9 6237.3 7132.9 7138.9 5489.6 5484.8 3 m /h 474.7 474.9 547.5 548.8 661.4 660.8 749.2 748.9 845.8 844.4 986.2 987.5 1058.0 1058.5 1414.7 1416.6 1620.0 1621.4 1246.8 1245.7 Differential Pressure inH2O 21.25 21.31 28.31 28.50 41.31 41.44 53.19 53.00 67.69 67.31 91.75 92.19 105.75 106.13 189.00 190.13 248.44 249.19 146.63 146.81 mbar 52.8 53.0 70.4 70.9 102.7 103.0 132.3 131.8 168.3 167.4 228.1 229.2 262.9 263.9 469.9 472.7 617.7 619.6 364.6 365.0 Fluid Temperature °F 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 44.5 °C 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 Fluid Fluid Pressure Viscosity Fluid Density psig 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 bar g 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 cP 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 3 lb/ft 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 62.42 3 kg/m 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 999.9 Fluid Velocity Pipe Reynolds Number K ft/s 5.87 5.87 6.77 6.79 8.18 8.17 9.26 9.26 10.46 10.44 12.20 12.21 13.08 13.09 17.49 17.52 20.03 20.05 15.42 15.40 2.83E+05 2.83E+05 3.27E+05 3.28E+05 3.95E+05 3.94E+05 4.47E+05 4.47E+05 5.05E+05 5.04E+05 5.88E+05 5.89E+05 6.31E+05 6.32E+05 8.44E+05 8.45E+05 9.67E+05 9.68E+05 7.44E+05 7.43E+05 0.5503 0.5498 0.5499 0.5494 0.5500 0.5487 0.5490 0.5498 0.5494 0.5501 0.5502 0.5497 0.5499 0.5492 0.5500 0.5491 0.5493 0.5490 0.5503 0.5495 m/s 1.79 1.79 2.06 2.07 2.49 2.49 2.82 2.82 3.19 3.18 3.72 3.72 3.99 3.99 5.33 5.34 6.11 6.11 4.70 4.70 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Test Laboratory: CEESI - Garner, Iowa Test Date: September 16, 2008 Test Pipe Dia.: 12.060-in (306 mm) Blockage: 24.07% Kpub: 0.5543 Average K: 0.5521 Calibration ID: 08DSC-0010 Sensor Size: 44 Fluid: Natural Gas Sensor Serial Number: 585-44-10 Pipe Size: 12-in. STD Test Spool: DS-1040 Data Point Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Flow Rate GPM 147.7 147.6 135.0 134.7 123.1 122.7 110.5 110.6 98.9 98.9 85.4 85.5 73.1 72.9 58.4 58.3 47.2 47.3 38.3 38.3 m3/h 67.0 67.0 61.2 61.1 55.8 55.6 50.1 50.2 44.8 44.9 38.7 38.8 33.2 33.1 26.5 26.4 21.4 21.4 17.3 17.4 Differential Pressure inH2O 91.62 91.64 76.50 76.30 63.60 63.31 51.19 51.26 41.07 41.10 30.63 30.64 22.50 22.28 14.35 14.27 9.37 9.39 6.18 6.17 mbar 227.8 227.9 190.2 189.7 158.1 157.4 127.3 127.5 102.1 102.2 76.2 76.2 55.9 55.4 35.7 35.5 23.3 23.3 15.4 15.3 Fluid Temperature Fluid Fluid Pressure Viscosity Fluid Density °F 536.2 536.2 536.2 536.2 536.2 536.2 536.2 536.2 536.2 536.2 536.2 536.2 536.3 536.3 536.4 536.4 536.4 536.4 536.4 536.4 psig 1111.6 1111.6 1112.4 1112.5 1113.3 1113.4 1112.2 1112.3 1113.2 1113.2 1114.1 1114.2 1115.2 1115.3 1116.3 1116.6 1117.5 1117.5 1118.2 1118.2 °C 297.9 297.9 297.9 297.9 297.9 297.9 297.9 297.9 297.9 297.9 297.9 297.9 297.9 297.9 298.0 298.0 298.0 298.0 298.0 298.0 bar g 76.6 76.6 76.6 76.7 76.7 76.7 76.6 76.6 76.7 76.7 76.8 76.8 76.8 76.8 76.9 76.9 77.0 77.0 77.0 77.0 cP 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 lb/ft3 3.71 3.71 3.71 3.71 3.71 3.71 3.71 3.71 3.71 3.71 3.71 3.71 3.71 3.71 3.71 3.71 3.71 3.71 3.71 3.71 kg/m3 59.4 59.4 59.4 59.5 59.5 59.5 59.4 59.4 59.4 59.4 59.5 59.5 59.5 59.5 59.5 59.6 59.6 59.6 59.7 59.7 Fluid Velocity Pipe Reynolds Number K ft/s 50.18 50.17 45.85 45.75 41.78 41.63 37.57 37.61 33.60 33.61 29.01 29.05 24.82 24.74 19.81 19.76 15.99 16.01 12.95 12.97 2.04E+07 2.04E+07 1.87E+07 1.86E+07 1.70E+07 1.70E+07 1.53E+07 1.53E+07 1.37E+07 1.37E+07 1.18E+07 1.18E+07 1.01E+07 1.01E+07 8.07E+06 8.07E+06 6.52E+06 6.53E+06 5.28E+06 5.29E+06 0.5525 0.5522 0.5525 0.5520 0.5524 0.5517 0.5531 0.5534 0.5524 0.5524 0.5525 0.5532 0.5517 0.5526 0.5515 0.5518 0.5514 0.5515 0.5499 0.5514 m/s 15.30 15.29 13.98 13.94 12.73 12.69 11.45 11.46 10.24 10.24 8.84 8.86 7.57 7.54 6.04 6.02 4.87 4.88 3.95 3.95 5-53 Rosemount Annubar Flow Test Data Book 5-54 Reference Manual 00821-0100-4809, Rev BA July 2009 Reference Manual Rosemount 485 Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Section 6 References ASME, Fluid Meters, Sixth Edition 1971, ASME, New York, pages 47-111. Achenbach, E. Distribution of Local Pressure & Skin Friction Around a Circular Cylinder in Cross-Flow Up to RE = 5 x 106, J. Fluid Mechanics, March 1968, Volume 34, Part 4, pages 625 - 639. Schlichting, H., Boundary Layer Theory, Fourth Edition 1960, McGraw-Hill Book Co., New York, pages 1 - 40. Daugherty, R., Fluid Mechanics with Engineering Applications, Eight Edition 1985, McGraw-Hill Book Co., New York, Chapter 10. Hamli, D., Practical Guide to the Evaluation of the Metering Performance of Differential Producers, J., Fluids Engineering, March 1973, Volume 95, Series 1, Number 1, pages 127 - 141. Hoerner, Sighard F., Fluid-Dynamic Drag, 1965: Great Britain. Produced in the United States. Schneider, W. Experimental Investigations on Bodies With Non-Circular Sections in Compressible Flow (Pressure Distributions), Viscous and Interacting Flow Field Effects, May 9 - 10, 1984, pages 132 - 153. www.rosemount.com Rosemount 485 Annubar Flow Test Data Book 6-2 Reference Manual 00821-0100-4809, Rev BA July 2009 Reference Manual Rosemount Annubar Flow Test Data Book 00821-0100-4809, Rev BA July 2009 Index A T Annubar strengths . . . . . . . . . . 1-1 Testing . . . . . . . . . . . . . . . . . . . 1-1 Independent Laboratory . . . 1-2 In-House Performance . . . . 1-2 Laboratories . . . . . . . . . . . . 5-1 Rosemount . . . . . . . . . 5-1 SwRI . . . . . . . . . . . . . . 5-1 Mechanical . . . . . . . . . . . . . 1-2 On-Site Performance . . . . . 1-2 Sensor Size 1 . . . . . . . . . . 5-4 Fl-210 . . . . . . . . . . . . . 5-4 Fl-260 . . . . . . . . . . . . . 5-6 Fl-261 . . . . . . . . . . . . . 5-8 Sensor Size 2 . . . . . . . . . 5-10 Fl-156 . . . . . . . . . . . . 5-10 Fl-162 . . . . . . . . . . . . 5-12 Fl-163 . . . . . . . . . . . . 5-14 Fl-169 . . . . . . . . . . . . 5-16 Fl-178 . . . . . . . . . . . . 5-18 Fl-179 . . . . . . . . . . . . 5-20 Fl-180 . . . . . . . . . . . . 5-22 Fl-181 . . . . . . . . . . . . 5-24 Sensor Size 3 . . . . 5-26, 5-49 Fl-307 . . . . . . . . . . . . 5-26 Structural . . . . . . . . . . . . . . 1-2 D Derivation Blockage Equation . . . . . . 4-3 Flow Equation . . . . . . . . . . 4-2 Design and Performance . . . . . 2-2 High Pressure Measurement 2-3 Low Pressure Measurement 2-4 sensor design . . . . . . . . . . 2-2 surface texture . . . . . . . . . . 2-4 Drawings Frontal slot design . . . . . . . 2-3 sensor cross-section . . . . . 2-2 Velocity Graph . . . . . . . . . . 2-4 F Flow Coefficient . . . . . . . . . . . . 3-1 Benefits . . . . . . . . . . . . . . . 3-1 Overview . . . . . . . . . . . . . . 3-1 Reynolds Number Ranges 3-2 Flow Theory . . . . . . . . . . . . . . . 4-1 Blockage Equation Derivation 4-3 Conclusion . . . . . . . . . . . . . 4-5 Flow Equation Derivation . . 4-2 G Gravimetric Procedure . . . . . . . 5-2 H High Pressure Measurement . . 2-3 How the Annubar Works . . . . . . 2-1 L Low Pressure Measurement . . . 2-4 N Nomenclature . . . . . . . . . . . . . . 4-1 R References . . . . . . . . . . . . . . . . 6-1 S Sensor Design . . . . . . . . . . . . . 2-2 Surface Texture . . . . . . . . . . . . 2-4 Index-1 Rosemount Annubar Flow Test Data Book Index-2 Reference Manual 00821-0100-4809, Rev BA July 2009 Reference Manual 00821-0100-4809, Rev BA July 2009 Standard Terms and Conditions of Sale can be found at www.rosemount.com/terms_of_sale The Emerson logo is a trademark and service mark of Emerson Electric Co. 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