This article was downloaded by: [Rochester Institute of Technology] On: 15 April 2014, At: 13:34 Publisher: Taylor & Francis Informa Ltd Registered in England and Wales Registered Number: 1072954 Registered office: Mortimer House, 37-41 Mortimer Street, London W1T 3JH, UK Heat Transfer Engineering Publication details, including instructions for authors and subscription information: http://www.tandfonline.com/loi/uhte20 An Experimental Investigation on Friction Characteristics and Heat Transfer of Air and CO2 Flow in Microtubes With Structured Surface Roughness a b b Ting-Yu Lin , Chia-Wei Chen , Chien-Yuh Yang & Satish G. Kandlikar a a Mechanical Engineering Department , Rochester Institute of Technology , Rochester , New York , USA b Mechanical Engineering Department , National Central University , Jhong-Li , Taoyuan , Taiwan Accepted author version posted online: 26 Jun 2013.Published online: 05 Sep 2013. To cite this article: Ting-Yu Lin , Chia-Wei Chen , Chien-Yuh Yang & Satish G. Kandlikar (2014) An Experimental Investigation on Friction Characteristics and Heat Transfer of Air and CO2 Flow in Microtubes With Structured Surface Roughness, Heat Transfer Engineering, 35:2, 150-158, DOI: 10.1080/01457632.2013.812485 To link to this article: http://dx.doi.org/10.1080/01457632.2013.812485 PLEASE SCROLL DOWN FOR ARTICLE Taylor & Francis makes every effort to ensure the accuracy of all the information (the “Content”) contained in the publications on our platform. However, Taylor & Francis, our agents, and our licensors make no representations or warranties whatsoever as to the accuracy, completeness, or suitability for any purpose of the Content. Any opinions and views expressed in this publication are the opinions and views of the authors, and are not the views of or endorsed by Taylor & Francis. The accuracy of the Content should not be relied upon and should be independently verified with primary sources of information. 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Terms & Conditions of access and use can be found at http:// www.tandfonline.com/page/terms-and-conditions Downloaded by [Rochester Institute of Technology] at 13:34 15 April 2014 Heat Transfer Engineering, 35(2):150–158, 2014 C Taylor and Francis Group, LLC Copyright ISSN: 0145-7632 print / 1521-0537 online DOI: 10.1080/01457632.2013.812485 An Experimental Investigation on Friction Characteristics and Heat Transfer of Air and CO 2 Flow in Microtubes With Structured Surface Roughness TING-YU LIN,1 CHIA-WEI CHEN,2 CHIEN-YUH YANG,2 and SATISH G. KANDLIKAR1 1 2 Mechanical Engineering Department, Rochester Institute of Technology, Rochester, New York, USA Mechanical Engineering Department, National Central University, Jhong-Li, Taoyuan, Taiwan Experiments were conducted to investigate roughness effects on flow characteristics and heat transfer of air and CO2 flow in four circular micr-tubes of approximately 1 mm inner diameter. The tubes were made by electrodepositing nickel on an aluminum sacrificial substrate. The desired roughness structures were machined or etched on the substrate before depositing nickel to generate a replica of the aluminum substrate on the internal surface of the nickel tubes. Four different surface roughness features were generated: (i) uniform roughness of 3.8 µm, (ii) uniform roughness of 1.8 µm, (iii) internal grooves 45 µm deep and 218 µm wide, and (iv) helical grooves 96 µm deep with 1.9 mm pitch. Friction factor and Nusselt number data for the smooth tube are in good agreement with the conventional correlations in both the laminar and the turbulent flow regimes. In the rough tubes, the friction factors are significantly higher than that of the smooth tube. Heat transfer coefficients in the laminar flow regime for both smooth and rough tube agree well with the conventional correlation. However, in the turbulent flow regime, heat transfer was enhanced by the roughness features and the enhancement increased with increasing Reynolds number. INTRODUCTION Heat transfer and flow characteristics in microchannels have been widely studied in support of the developments in microelectromechanical systems (MEMS) technology and their application in micro heat exchangers, fuel cells, biomedical chips, and other microscale devices requiring thermal control. Many earlier publications indicated that the heat transfer and flow characteristics in microchannels are not in agreement with the predictions from the conventional correlations for smooth channels [1–6]. It is gratefully acknowledged that the financial support for this work was provided by the National Science Council (NSC 98-2221-E-008-088-MY3), Taiwan, and U.S. National Science Foundation (CBET-0829038). Address correspondence to Professor Chien-Yuh Yang, Mechanical Engineering Department National Central University, No. 300, Jhong-Da Road, 320 Jhong-Li, Taoyuan, Taiwan. E-mail: [email protected] However, subsequent research indicated that for liquid flow in circular smooth microtubes, friction factors and heat transfer coefficients were in agreement with the conventional correlations [7–11]. The experimental data were predicted well by the conventional correlations for tubes with diameters larger than 15 μm [7] for friction factor and 123 μm [8] for Nusselt number. Friction factors in mini- and microscale rough channels were systematically investigated by Kandlikar [12], Brackbill and Kandlikar [13, 14], and Kandlikar et al. [15]. The effects of the roughness element height, pitch, and relative roughness on friction factor were studied experimentally. Their data showed that the friction factors in smooth channels were in good agreement with the conventional correlations, while in rough channels the friction factors were significantly higher than the predictions from the smooth channel correlations. A model was proposed to predict the early transition from laminar to turbulent flow due to roughness effects [14, 15]. A constricted hydraulic diameter was defined for use in rough channels by 150 Downloaded by [Rochester Institute of Technology] at 13:34 15 April 2014 T.-Y. LIN ET AL. considering the minimum flow area in a channel. Previous researchers also studied the roughness effect on gas flow in microchannels. The experimental data of [16] revealed that the friction factors in smooth channels were in good agreement with the predictions from the smooth channel correlations; however, in rough tubes the friction factor was reported to be higher than the predictions. Circular tubes with different internal surface roughness structures were studied by Kandlikar et al. [17]. The Ra /di in their study ranged from 0.36% to 0.16% for a 0.62-mm tube and 0.18% to 0.28% for a 1.067-mm tube. Heat transfer enhancement due to roughness was observed in their work. Heat transfer enhancement in both laminar and turbulent flows has been an area of great interest [18]. In macroscale laminar flows, some of the enhancement techniques receiving renewed interest are twisted tubes [19, 20], porous materials [21], and coiled wires [22]. In turbulent flow, enhanced structures on the internal channel walls were investigated and found to enhance heat transfer. Pethkool et al. [23] investigated heat transfer enhancement in a helically corrugated tube. Their data showed that the effect of relative roughness was higher than the effect of pitch. There are very limited data available showing systematic effects of enhancement techniques on heat transfer and pressure drop. Very few researchers have investigated heat transfer of gas flow in microchannels due to the difficulties in conducting such experiments at microscale. This research aimed at making roughness structures on the internal surface of a circular tube using an electrodepositing technique, and testing them with gas flow to obtain their fluid flow and heat transfer characteristics. Experiments on smooth tubes in the same diameter range were also performed in order to compare the effect of roughness on friction factor and Nusselt number. The process of fabricating rough tubes, experimental setup details, and experimental results for friction factors and Nusselt numbers are discussed in detail in the following section. EXPERIMENTAL METHOD Fabrication of Internally Roughened Tubes 151 Figure 1 Processes for fabricating internally roughened nickel tubes: (a) sacrificial substrate, (b) roughstructure machining on the substrate, (c) nickel layer deposition on the roughened substrate, and (d) substrate removal. (Color figure available online.) b. Rough structure machining: For the random roughness surface tubes, the rough surfaces on the substrate tube were scraped by number 50 and number 120 sandpapers. The images of the external surface of the substrate tubes after scraping were taken by a laser confocal microscope and are shown in Figure 2. The surface roughness of the aluminum tubes, Ra , after scraping by number 50 and number 120 sandpapers were measured as 9.3 μm and 5.6 μm, respectively. Two methods were used to generate structured roughness surfaces. One is by machining the substrate tube directly as shown in Figure 3a. The depth and pitch of the grooves are 45 μm and 220 μm, respectively. The other method involved etching the substrate tube. First, the substrate tube was wrapped with polytetrafluoroethylene (PTFE) tape to expose only the groove region, which was then etched away by an NaOH solution. The substrate tube region covered by PTFE tape was not etched, while the open surface was etched to form helical grooves on the tube as shown in Figure 3b. The groove depth and pitch are 96 μm and 1.9 mm, respectively. c. Nickel layer deposition: Nickel was electrically deposited on the outer surface of the roughened substrate tube. The thickness of the Ni layer was approximately 120 μm. Nickel was selected for its relatively high electricity resistance, good thermal conductivity, hardness, and strength. d. Substratum removal: A 10% NaOH solution at 50◦ C was pumped through the aluminum sacrificial tube coated with nickel. The aluminum was removed by the solution and a nickel tube with internal rough surface structure The fabrication process to produce different internal roughness surfaces tubes included four steps as illustrated in Figure 1: (a) the choice of sacrificial substrate material, (b) preparing rough structures on the substrate surface, (c) nickel layer deposition, and (d) removal of sacrificial substrate. The details are described as follows: a. Sacrificial substrate material selection: Aluminum tubes with inner and outer diameters of 0.5 mm and 1.0 mm, respectively, were selected as the sacrificial substrate for all nickel tubes fabricated. Aluminum was selected for its easy machinability and ease in removing the material by etching after deposition of nickel. heat transfer engineering Figure 2 External surface of aluminum substrate for random roughness surface tubes: (a) scraped by number 50 sandpaper, (b) scraped by number 120 sandpaper. vol. 35 no. 2 2014 152 T.-Y. LIN ET AL. Downloaded by [Rochester Institute of Technology] at 13:34 15 April 2014 Figure 3 External surface of aluminum sacrificial substrate for structured surface tubes: (a) direct machining, (b) etched with Teflon masking tape wrap. (Color figure available online.) was obtained. The cross-sectional image of the aluminum substrate tube with nickel deposited on it is shown in Figure 4a. Nickel is uniformly deposited on the aluminum tube. The rough nickel tube after removing aluminum substrate is shown in Figure 4b. Internal Surfaces Profile of Tubes The tubes were cut axially and images were taken and analyzed by a laser confocal microscope. Figure 5 shows the internal surface profiles of the test tubes presented in the form of a two-dimensional (2-D) image, three-dimensional (3-D) contour plot, and surface center line profile. Figure 5a is the commercial smooth stainless steel 304 tube termed as Tube A. Figures 5b and 5c are the random roughness surface tubes that were generated from the substrate scraped by sandpaper number 50 and number 120 and termed Tube B and Tube C, respectively. Figures 5d and 5e are structured roughness surface tubes which were generated from the machined substrate and PTFE tapewrapped substrate with chemical etching and termed - Tube D and Tube E, respectively. In this study the internal surface roughness of the nickel tubes is formed due to the nonuniform roughness elements. Instead of the average roughness, Ra (= 1n ni=1 |yi |), the roughness level was also represented by Rc in the present study. Rc is the mean value of the profile element heights with a sampling length defined as follows: n 1 Zti (1) Rc = n i=1 Figure 4 Cross section of the nickel tube: (a) with sacrificial aluminum substrate, (b) with substrate removal. (Color figure available online.) where Zti are the element heights as shown in Figure 6. The detailed dimensions of the test tubes are listed in Table 1. The inner diameters of the rough nickel tubes were measured by laser confocal microscope at the two ends of the tube. For smooth tubes, the internal tube diameter was measured by an optical microscope (OM). The average tube diameter is calculated from the tube flow area of several individual cross-section images. Experimental System Setup The schematic diagram of the test facility developed at RIT is shown in Figure 7. It is the same as that described in Lin and Kandlikar [24] and Yang et al. [25]. Pressurized air and CO2 were used as the working fluids. High-pressure gas flows through a regulator to the test section. A mass flowmeter was connected between the regulator and the test section. The inlet gas temperature was measured by a resistance temperature detector (RTD). DC power was supplied through the clamps attached on the ends of the test tube to heat the tube wall. The DC voltage and current were individually measured by ampere and volt meters. The power input was obtained by the product of measured current and voltage. In addition to what is shown in Figure 7, several thermocouples were attached on the tube wall to measure the external wall temperatures. Internal tube wall temperature was derived from the measured external wall temperature by using a one-dimensional, steady-state heat conduction equation with heat generation [17]. Flow meters, thermocouples, pressure sensor, and power supply were interfaced with the LabVIEW program to acquire the data. The Table 1 Detail dimensions of the test tubes Substratum Surface Treatment Outer roughness Pitch, P Height, H Test tube di (μm) dcf (μm) L (mm) Rc (μm) Ra (μm) A Smooth N/A N/A B Rough Number 50 sandpaper Ra = 9.3 μm C Rough Number 120 sandpaper Ra = 5.3 μm A 962 956 330 2.8 0.70 B 977 940 155 18.7 3.8 C 950 939 171 5.3 1.8 heat transfer engineering vol. 35 no. 2 2014 D groove Dies Rc = 45 μm 218 μm 45 μm D 939 913 154 13.2 3.5 E Helical groove PTFE tape Rc = 96 μm 1.9 mm 96 μm E 990 901 160 44.6 13.7 Downloaded by [Rochester Institute of Technology] at 13:34 15 April 2014 T.-Y. LIN ET AL. 153 Figure 5 Internal surface profiles of test tubes: (a) Tube A (smooth), (b) Tube B (roughened by number 50 sandpaper), (c) Tube C (roughened by number 50 sandpaper), (d) Tube D, circular grooves (using machined substrate), (e) Tube E, helical grooves (substrate roughened by PTFE tape wrapping and etching). (Color figure available online.) Figure 6 Dimensions of the profile element heights within a sampling length. heat transfer engineering experimental apparatus and derived parameter uncertainties are listed in Table 2. Heat loss is not negligible for gas flow in microtubes, due to its low heat capacity and low heat transfer coefficient. The test section was enclosed in a vacuum chamber with pressure below 13 mtorr to minimize heat loss. The heat loss for each tube as a function of temperature was individually evaluated. The tube was heated directly by the power supply and the applied power was quantified as the heat loss. The test tube was heated inside the vacuum chamber without working fluid flowing through it. The applied power was treated as the heat loss. The maximum heat loss to heat input ratio in the present study is lower than 12%. vol. 35 no. 2 2014 154 T.-Y. LIN ET AL. Figure 7 Schematic of the experimental setup. (Color figure available online.) Table 3 RESULTS AND DISCUSSION Downloaded by [Rochester Institute of Technology] at 13:34 15 April 2014 Friction Factor Due to the compressibility of air and CO2 , the apparent friction factor was calculated from the correlation given by Shapiro [26] as follows: dh P2in − P2out Pin (2) f= − 2ln L Pout RTG2 where dh , L, R, T, G, Pin , and Pout are the hydraulic diameter, tube length, specific gas constant, fluid temperature, mass flux, and inlet and outlet pressure of tubes, respectively. Figure 8 shows friction factor as a function of Reynolds number for CO2 and airflow in the smooth tube. It is observed that the friction factor of CO2 and that of air are the same and can be predicted very well by the conventional correlations in both laminar and turbulent flow regimes. Details of the conventional correlations used for estimating friction factors [27, 28] and heat transfer coefficients [29, 30] are given in Table 3. The transition Re is about 2000, which is similar to that for fluid flow in macroscale tubes. In smooth tubes, the internal diameter is used as the characteristic length. However, in rough tubes, the definition of tube diameter will affect the friction factor and heat transfer results. By considering the effect of cross-sectional area reduction due to protruding roughness elements, constricted diameter dcf defined by reference [15] was the same as the hydraulic diameter: dh = dcf = di − 2Rc Conventional correlations applied in the present study Blasius equations [27] f = 0.079Red −1/4 Filonenko [28] f = (1.58 ln Red -3.28)−2 Petukhov [29] Nud = Gnielinski [30] Nud = (f/8)Red Pr 1.07+12.7(f/8)1/2 (Pr2/3 −1) (f/8)(Red −1000)Pr 1+12.7(f/8)1/2 (Pr2/3 −1) Figure 9 shows the comparison of friction factors of Tube E by defining hydraulic diameter as di and dcf . The two data sets show a higher friction factor than conventional correlations derived from smooth tubes in both laminar and turbulent flow. By using dcf as the hydraulic diameter, the data show a better prediction by the conventional correlation. By using di as hydraulic diameter, friction factor is higher than for conventional correlations, by about 55–83% in laminar flow and 74–76% in turbulent flow. By using dcf as hydraulic diameter, friction factor is higher than for conventional correlations, by about 31–75% in laminar flow and 58–59% in turbulent flow. A conventional friction factor correlation for rough tube provided by Haaland [31] was also plotted for comparison. It is found that rough tube correlation has better prediction than that of smooth tube correlation. Figures 10a and 10b show friction factors of all test tubes as a function of Re. In laminar flow, friction factors for all data sets approach the predictions from conventional correlations in the low Re range. With increasing (3) Table 2 Uncertainties of the experimental apparatus and derived parameters Apparatus RTD T-type thermocouple Differential pressure transducers Pressure transducer Mass flowmeter Laser confocal microscope Derived parameters Friction coefficient (f) Nusselt number (Nud ) Reynolds number (Red ) Uncertainties Calibration range ±0.1◦ C ±0.2◦ C ±0.075% ±0.4% ±0.6% ±0.1 μm 0–100◦ C 0–100◦ C 0–10 kPa 0–2 MPa 0–50 SLM 0–3 mm 0.8–9.6% 6.0–11.2% 0.3–32% heat transfer engineering Figure 8 Friction factor plotted as a function of Re for CO2 and air flow in smooth tube. (Color figure available online.) vol. 35 no. 2 2014 T.-Y. LIN ET AL. 155 Downloaded by [Rochester Institute of Technology] at 13:34 15 April 2014 Re, rough tubes (Tube B, Tube C, Tube D, and Tube E) show friction factors higher than the predictions and the enhancement increases with Re. In turbulent flow, friction factors for all rough tubes are significantly higher than the predictions from the smooth tube correlation. The enhancement is higher than that in the laminar flow. This is due to the thinner boundary layer in turbulent flow, and the surface roughness seems to play a more important role than that in the laminar flow. Besides different surface configurations, two different fluids were tested in the present study to investigate the fluid properties effects. As can be seen from Figures 10a and 10b, there is no significant difference between friction factor results for air and CO2 . Heat Transfer Coefficient Heat transfer coefficient h and Nu are calculated from the following equation: h= q , (Tw,x − Tf,x ) and Nu = hdh kf (4) where q is heat flux, Tw,x is internal wall temperature derived from the external wall temperature measured by thermocouples, and Tf,x is the local fluid temperature calculated from the energy balance. Due to the low fluid heat capacity and small tube diameter in the present study, the heat losses, axial conduction,n and viscous heating cannot be neglected. Detailed data reduction of friction factor and heat transfer coefficient can be found in Lin and Kandlikar [24] and Yang et al. [25]. Figure 11 shows the comparison of Nu for air and CO2 flow in the smooth tube. Both air and CO2 data sets revealed that Nu can be predicted well by the conventional correlations. In the laminar flow with Re less than 2000, Nu remained constant, while in turbulent flow with Re higher than 3000, Nu increases with increasing of Re. The transition Re from laminar to turbulent flow is the same as that for macroscale tubes. Figure 12 shows Nu for air and CO2 in structured roughness Tube D at different Figure 9 Comparison of friction factors by using hydraulic diameter and constricted hydraulic diameter for Tube E. (Color figure available online.) heat transfer engineering Figure 10 Friction factors of all tubes in (a) air and (b) CO2 . (Color figure available online.) Figure 11 Heat transfer coefficient and Nu for air and CO2 flow in smooth tube. (Color figure available online.) vol. 35 no. 2 2014 Downloaded by [Rochester Institute of Technology] at 13:34 15 April 2014 156 T.-Y. LIN ET AL. Figure 12 Nu for Tube D as a function of Re for air and CO2 . (Color figure available online.) Figure 13 Nu for air and CO2 flow in all test tubes as a function of Re in laminar flow. (Color figure available online.) heating positions compared to the conventional correlations. These data sets show a very small dependence on the heating length. In laminar flow, Nu is slightly higher than the smooth channel theoretical prediction. In turbulent flow, Nu is higher than the smooth tube predictions for Re higher than 10,000. However, there is no heat transfer enhancement observed for Re in the range from 3,000 to 10,000. This is believed to be due to the thinner boundary-layer thickness at high Re. The roughness elements disturb the flow and cause flow mixing and enhance heat transfer. In the lower Re region, the disturbance is relatively weak and heat transfer enhancement is less. The boundary layer thickness decreases with the increasing of Re in turbulent flow and hence the enhancement is significant for high Re. Figure 13 shows all Nu data for air and CO2 in all tubes in laminar flow. The Nu approached the predicted value from smooth tube correlations. In the higher Re region, the Nu is slightly higher than for the conventional correlation. This is due to the developing flow effects. In developing flow the boundarylayer thickness is thin and the heat transfer coefficient is high. Developing length is a function of Re and increases with the increasing of Re. Hence, in laminar flow Nu is slightly dependent on Re and increases with increasing Re. The experimental results concluded that there is no significant heat transfer enhancement in the laminar flow due to roughness. There is no significant difference among all the test tubes tested in laminar flow in the present study. Figure 14 shows Nu as function of Re for all tubes in turbulent flow. Unlike laminar flow, significant heat transfer enhancement due to roughness was observed. The heat transfer enhancement order for the tubes from high to low is Tube B, Tube C, Tube D, and Tube E. Nu for Tube B was observed to be significantly higher than for the smooth channel correlation and the enhancement increases with increasing Re. This is due to roughness elements disturbing the flow and causing flow mixing, which results in enhanced heat transfer. Heat transfer enhancement of Tube B is higher than Tube C due to the higher roughness element height. Heat transfer enhancements for Tube C and Tube D were observed only in the high Re region. The uniform roughness tubes have a higher enhancement than the structured roughness tubes due to turbulent eddies causing less mixing on the tube grooves. Further study is needed to clarify this phenomenon. In the lower Re turbulent flow region, Nu was in good agreement with the conventional correlation. It should be noted that the data sets in Figures 10a and 10b include both air and CO2 data; hence it is concluded that there is no fluid characteristics effect of the tubes in the present study both in the laminar and in the turbulent flow. CONCLUSIONS Figure 14 Nu for air and CO2 flow in all test tubes as a function of Re in turbulent flow. (Color figure available online.) heat transfer engineering Four internally roughened microtubes were successfully generated in the present study using electrodeposition of nickel on sacrificial aluminum substrates. Friction factor and heat transfer performance of air and CO2 flow in these tubes were studied. vol. 35 no. 2 2014 Downloaded by [Rochester Institute of Technology] at 13:34 15 April 2014 T.-Y. LIN ET AL. The test results show that the friction factor and Nusselt number in smooth tubes are in a very good agreement with those predicted by the conventional correlations in laminar and turbulent flow regimes, whereas the friction factors in rough tubes are significantly higher than the predicted values from the conventional correlations derived from macroscale rough tubes. The use of constricted tube diameter proposed by Kandlikar et al. [15] is recommended for uniform roughness and grooved tubes. It may be noted that the internal diameters of nickel tubes used in the friction factor and heat transfer calculations are the same as the constricted tube diameters since the internal diameter corresponds to the minimum flow diameter. There is no heat transfer enhancement observed by the roughened surfaces in the laminar flow regime over the range of parameters tested in this study. In turbulent flow regime, heat transfer enhancement was observed and the enhancement ratio increases with increasing Reynolds number. In comparing the heat transfer performance in various rough surface tubes, the random roughened surface tubes (Tubes B and C) provided higher heat transfer enhancement than the structured surface tubes (Tubes D and E). Further studies are necessary to clarify the effect of roughness element structures, geometries, and dimensions on the friction factor and heat transfer performance of fluid flow in microtubes. NOMENCLATURE dcf dh di f H h kf L Nu P Pin Pout P q Re Ra Rc T Tf,x Tw,x constricted diameter, m hydraulic diameter, m internal diameter, m Fanning friction factor, dimensionless helical fin height, m heat transfer coefficient, W/m2-◦ C thermal conductivity of fluid, W/m-◦ C length, m Nusselt number, dimensionless helical fin pitch, m inlet pressure, Pa outlet pressure, Pa pressure drop, Pa heat flux, W/m2 Reynolds number, dimensionless average roughness, m roughness, m temperature, ◦ C local fluid temperature, ◦ C local wall temperature, ◦ C REFERENCES [1] Mala, G. M., and Li, D., Flow Characteristics of Water in Microtubes, International Journal of Heat and Fluid Flow, vol. 20, pp. 142–148, 1999. heat transfer engineering 157 [2] Wu, P., and Little, W. A., Measurement of Friction Factors for the Flow of Gases in Very Fine Channels Used for Microminiature Joule-Thomson Refrigerators, Cryogenics, vol. 23, no. 5, pp. 273–277, 1983. [3] Cheng, P., and Wu, H. 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Petukhov, B. S., and Popov, V. N., Theoretical Calculation of Heat Exchange and Friction Resistance in Turbulent heat transfer engineering Flow in Tubes of an Incompressible Fluid with Variable Physical Properties, English Trans. High Temp., vol. 1, no. 2, pp. 69–83, 1963. [30] Gnielinski, V., New Equation for Heat and Mass Transfer in Turbulent Pipe and Channel Flow, International Journal of Chemical Engineering, vol. 16, pp. 359–368, 1976. [31] Haaland, S. E., Simple and Explicit Formulas for the Friction Factor in Turbulent Flow, ASME Journal of Fluids Engineering, vol. 103, no. 5, pp. 89–90, 1983. Ting-Yu (Tony) Lin received his Ph.D. in 2007 from the Department of Mechanical Engineering at National Central University, Taiwan. He was a visiting research assistant professor at Rochester Institute of Technology, Rocjester, NY, from 2008 to 2011. He is currently a thermal engineer in ZT Systems. His research interests include micro heat exchangers, heat transfer enhancement, and microscale heat transfer. He has published more than 20 journal and conference papers. Currently he is working on server and switch cooling designs for data centers. Chia-Wei Chen received his Ph.D. in 2011 from the Department of Mechanical Engineering at National Central University, Taiwan. His research interests include air conditioning and fundamental research in heat transfer characteristics in microchannels. He also worked on heat transfer enhancement of spray cooling on brazed aluminum heat exchangers. His doctoral research focuses on heat transfer and friction characteristics of air and CO2 flow in rough and smooth circular microtubes. Chien-Yuh Yang is a professor in the Department of Mechanical Engineering at the National Central University, Taiwan. He received his Ph.D. from Pennsylvania State University in 1994, and then joined the National Central University in 1995. His current research interests include heat exchanger design, twophase heat transfer, heat transfer enhancement, and microscale heat transfer. He has published more than 80 journal and conference papers and one textbook, and has more than 10 heat exchanger-related patents. Satish Kandlikar is the Gleason Professor of Mechanical Engineering at Rochester Institute of Technology (RIT), Rochester, NY. He received his Ph.D. degree from the Indian Institute of Technology in Bombay in 1975 and was a faculty member there before coming to RIT in 1980. He has worked extensively in the area of flow boiling heat transfer and CHF phenomena at microscale, single-phase flow in microchannels, high heat flux chip cooling, and water management in PEM fuel cells. He has published more than 200 journal and conference papers. He is a fellow of the ASME and associate editor of a number of journals. He is the executive editor of Heat Exchanger Design Handbook, published by Begell House. He received RIT’s Eisenhart Outstanding Teaching Award in 1997 and RIT’s Trustees Outstanding Scholarship Award in 2006. He received the 2008 Rochester Engineer of the Year award from the Rochester Engineering Society. Currently he is working on Department of Energy- and GM-sponsored projects on fuel cell water management under freezing conditions, and a National Science Foundation-sponsored project on roughness effect on fluid flow and heat transfer at microscale. vol. 35 no. 2 2014
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