APPENDICES 211 APPENDICES Conversion Factors Length (L): Systeme International (SI) base unit: meters (m) Dimensions: L 1 centimeter (cm) = 10-2 m = 10-5 km = 0.3937 inch = 0.03281 ft = 0.01094 yd = 6.214 H 10-6 mi 1 meter (m) = 102 cm = 10-3 km = 39.37 inches = 3.281 ft = 1.094 yd = 6.214 H 10-4 mi 1 kilometer (km) = 105 cm = 103 m = 3.937 H 104 inches = 3281 ft = 1094 yd = 0.6214 mi 1 inch = 2.540 cm = 0.02540 m = 2.540 H 10-5 km = 0.08333 ft = 0.02778 yd = 1.578 H 10-5 mi 1 foot (ft) = 30.48 cm = 0.3048 m = 3.048 H 10-4 km = 12 inches = 0.3333 yd = 1.894 H 10-4 mi 1 yard (yd) = 91.44 cm = 0.9144 m = 9.144 H 10-4 km = 36 inches = 3 ft = 5.682 H 10-4 mi 1 statute mile (mi) = 1.609 H 105 cm = 1609 m = 1.609 km = 6.336 H 104 inches = 5280 ft = 1760 yd 1 Angstom (D) = 10-8 cm = 10-10 m 1 micron (F) = 10-4 cm = 10-6 m VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004 212 APPENDICES 1 millimicron (mF) = 10-7 cm = 10-9 m 1 mil = 10-3 inch Area (A): Systeme International (SI) base unit: square meters (m2) Dimensions: L2 1 square centimeter (cm2) = 10-4 m2 = 10-10 km2 = 10-8 ha = 0.1550 inch2 = 1.076 H 10-3 ft2 = 1.196 H 10-4 yd2 = 3.861 H 10-11 mi2 = 2.471 H 10-8 acre 1 square meter (m2) = 104 cm2 = 10-6 km2 = 10-4 ha = 1550 inches2 = 10.76 ft2 = 1.196 yd2 = 3.861 H 10-7 mi2 = 2.471 H 10-4 acre 1 square kilometer (km2) = 1010 cm2 = 106 m2 = 102 ha = 1.550 H 109 inches2 = 1.076 H 107 ft2 = 1.196 H 106 yd2 = 0.3861 mi2 = 247.1 acres 1 hectare (ha) = 108 cm2 = 104 m2 = 10-2 km2 = 1.550 H 107 inches2 = 1.076 H 105 ft2 = 1.196 H 104 yd2 = 3.861 H 10-3 mi2 = 2.471 acres 1 square inch (inch2) = 6.452 cm2 = 6.452 H 10-4 m2 = 6.452 H 10-10 km2 = 6.452 H 10-8 ha = 6.944 H 10-3 ft2 = 7.716 H 10-4 yd2 = 2.491 H 10-10 mi2 = 1.594 H 10-7 acre 1 square foot (ft2) = 929.0 cm2 = 0.09290 m2 = 9.290 H 10-8 km2 = 9.290 H 10-6 ha = 144 inches2 = 0.1111 yd2 = 3.587 H 10-8 mi2 = 2.296 H 10-5 acre VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004 APPENDICES 213 1 square yard (yd2) = 8361 cm2 = 0.8361 m2 = 8.361 H 10-7 km2 = 8.361 H 10-5 ha = 1296 inches2 = 9 ft2 = 3.228 H 10-7 mi2 = 2.066 H 10-4 acre 1 square mile (mi2) = 2.590 H 1010 cm2 = 2.590 H 106 m2 = 2.590 km2 = 259.0 ha = 4.014 H 109 in2 = 2.788 H 107 ft2 = 3.098 H 106 yd2 = 640.0 acres 1 acre = 4.047 H 107 cm2 = 4047 m2 = 4.047 H 10-3 km2 = 0.4047 ha = 6.273 H 106 in2 = 4.356 H 104 ft2 = 4840 yd2 = 1.563 H 10-3 mi2 Volume (V): Systeme International (SI) base unit: cubic meters (m3) Dimensions: L3 1 cubic centimeter (cm3) = 10-6 m3 = 10-3 liter = 0.06102 inch3 = 3.531 H 10-5 ft3 = 0.03381 fl oz = 2.642 H 10-4 gal 1 cubic meter (m3) = 106 cm3 = 103 liters = 6.102 H 104 inches3 = 35.31 ft3 = 3.381 H 104 fl oz = 264.2 gal = 9.729 H 10-3 acre-inch 1 liter = 103 cm3 = 10-3 m3 = 61.03 inches3 = 0.03532 ft3 =33.81 fl oz = 0.2642 gal = 0.2270 U.S. dry gallon = 1.057 U.S. fluid quarts = 0.9081 U.S. dry quart = 0.02838 bu 1 cubic inch (inch3) = 16.39 cm3 = 1.639 H 10-5 m3 = 0.01639 liter = 5.787 H 10-4 ft3 = 0.5541 fl oz = 4.329 H 10-3 gal VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004 214 APPENDICES 1 cubic foot (ft3) = 2.832 H 104 cm3 = 0.02832 m3 = 28.32 liters = 1728 inches3 = 957.5 fl oz = 7.481 gal 1 U.S. fluid oz (fl oz) = 29.57 cm3 = 2.957 H 10-5 m3 = 0.02957 liter = 1.805 inches3 = 1.044 H 10-3 ft3 = 7.813 H 10-3 gal = 2.755 H 10-4 acre-inch 1 U.S. fluid gallon (gal) = 3785 cm3 = 3.785 H 10-3 m3 = 3.785 liters = 231 inches3 = 0.1337 ft3 = 128 fl oz = 8 U.S. fluid pints = 4 U.S. fluid quarts = 3.683 H 10-5 acre inch 1 U.S. bushel (bu) = 35.24 liters = 0.3524 hectoliter = 64 U.S. dry pints = 32 U.S. dry quarts = 9.309 gal. = 8 U.S. dry gallons = 4 U.S. dry pecks 1 acre-inch = 102.8 m3 = 2.715 H 104 gal = 3630 ft3 Mass (m): Systeme International (SI) base unit: kilogram (kg) Dimensions: M 1 gram (g) = 10-3 kg = 10-5 q = 10-6 metric ton = 6.852 H 10-5 slug = 0.03527 oz = 2.205 H 10-3 lb = 2.205 H 10-5 cwt = 1.102 H 10-6 U.S. short ton 1 kilogram (kg) = 103 g = 10-2 q = 10-3 metric ton = 0.06852 slug = 35.27 oz = 2.205 lb = 0.02205 cwt = 1.102 H 10-3 U.S. short ton 1 metric ton = 106g = 103 kg = 10 q = 68.52 slugs = 3.527 H 104 oz = 2205 lb = 22.05 cwt = 1.102 U.S. short tons VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004 APPENDICES 215 1 slug = 1.459 H 104 g = 14.59 kg = 0.1459 q = 0.01459 metric ton = 514.8 oz = 32.17 lb = 0.3217 cwt = 0.01609 U.S. short ton 1 avoirdupois ounce (oz) = 28.35 g = 0.02835 kg = 2.835 H 10-4 q = 2.835 H 10-5 metric ton = 1.943 H 10-3 slug = 0.0625 lb = 6.25 H 10-4cwt = 3.125 H 10-5 U.S. short ton 1 avoirdupois pound (lb) = 453.6 g = 0.4536 kg = 4.536 H 10-3 q = 4.536 H 10-4 metric ton = 0.03108 slug = 16 oz = 10-2 cwt = 5 H 10-4 U.S. short ton 1 short hundredwight (cwt) = 4.536 H 104 g = 45.36 kg = 0.4536 q = 0.04536 metric ton = 3.108 slugs = 1600 oz = 102 lb = 0.05 U.S. short ton 1 U.S. short ton = 9.072 H 105 g = 907.2 kg = 9.072 q = 0.9072 metric ton = = 62.16 slugs = 3.2 H 104 oz = 2000 lb = 20 cwt Density (ρ): Systeme International (SI) base unit: mass/volume (kg/m3) Dimensions: ML-3 1 gram per cubic centimeter (g/cm3) = 103 kg/m3 = 1.940 slugs/ft3 = 0.03613 lb/inch3 = 62.43 lb/ft3 1 kilogram per cubic meter (kg/m3) = 10-3 g/cm3 = 1.940 H 10-3 slug/ft3 = 3.613 H 10-5 lb/inch3 = 0.06243 lb/ft3 1 slug per cubic foot (slug/ft3) = 0.5154 g/cm3 = 515.4 kg/m3 = 0.01862 lb/inch3 = 32.17 lb/ft3 1 pound per cubic inch (lb/inch3) = 27.68 g/cm3 = 2.768 H 104 kg/m3 = 53.71 slugs/ft3 = 1728 lb/ft3 VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004 216 APPENDICES 1 pound per cubic foot (lb/ft3) = 0.01602 g/cm3 = 16.02 kg/m3 = 0.03108 slug/ft3 = 5.787 H 10-4 lb/inch3 Velocity (V): Systeme International (SI) base unit: meter/second (m/s) Dimensions: Lt-1 1 centimeter per second (cm/sec) = 10-2 m/sec = 0.036 km/hr = 0.03281 ft/sec = 0.02237 mi/hr = 0.01944 knot 1 meter per second (m/sec) = 102 cm/sec = 3.6 km/hr = 3.281 ft/sec = 2.237 mi/hr = 1.944 knots 1 kilometer per hour (km/hr) = 27.78 cm/sec = 0.2778 m/sec = 0.9113 ft/sec = 0.6214 mi/hr = 0.5400 knot 1 foot per second (ft/sec) = 30.48 cm/sec = 0.3048 m/sec = 1.097 km/hr = 0.6818 mi/hr = 0.5925 knot 1 mile per hour (mi/hr or mph) = 44.70 cm/sec = 0.4470 m/sec = 1.609 km/hr = 1.467 ft/sec = 0.8690 knot 1 nautical mile/hr (knot) = 51.44 cm/sec = 0.5144 m/sec = 1.852 km/hr = 1.688 ft/sec = 1.151 mi/hr Force (F): Systeme International (SI) base unit: newton (nt or N) Dimensions: MLt-2 1 dyne = 10-5 nt = 2.248 H 10-6 lb VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004 APPENDICES 217 1 newton (nt) = 105 dynes = 0.2248 lb 1 pound (lb) = 4.448 H 105 dynes = 4.448 nt Pressure (p): Systeme International (SI) base unit: newton/area (nt/m2) Dimensions: ML-1t-2 1 dyne per square centimeter [barye] (dyne/cm2) = 10-1 nt/m2 = 1.450 H 10-5 lb/inch2 = 2.089 H 10-3 lb/ft2 = 9.869 H 10-7atm = 10-6 bar = 10-3mb = 4.015 H 10-4 inch H2O = 7.501 H 10-5 cm Hg 1 newton per square meter [pascal] (nt/m2) = 10 dynes/cm2 = 1.450 H 10-4 lb/inch2 = 0.02089 lb/ft2 = 9.869 H 10-6 atm = 10-5 bar = 10-2mb = 4.015 H 10-3 inch H2O = 7.501 H 10-4 cm Hg 1 pound per square inch (lb/inch2 or psi) = 6.895 H 104 dynes/cm2 = 6.895 H 103 nt/m2 = 144 lb/ft2 = 0.06805 atm = 0.06895 bar = 68.95 mb = 27.68 inches H2O = 5.171 cm Hg 1 pound per square foot (lb/ft2) = 478.8 dynes/cm2 = 47.88 nt/m2 = 6.944 H 10-3 lb/inch2 = 4.725 H 10-4 atm = 4.788 H 10-4 bar = 0.4788 mb = 0.1922 inch H2O = 0.03591 cm Hg 1 atmosphere (atm) = 1.013 H 106 dynes/cm2 = 1.013 H 105 nt/m2 = 14.70 lb/inch2 = 2116 lb/ft2 = 1.013 bars = 1013 mb = 406.8 inches H2O = 76 cm Hg 1 bar = 106 dynes/cm2 = 105 nt/m2 = 14.50 lb/in2 = 2089 lb/ft2 = 0.9869 atm = 103 mb = 401.5 inches H2O = 75.01 cm Hg VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004 218 APPENDICES 1 millibar (mb) = 103 dynes/cm2 = 102 nt/m2 = 0.01450 lb/inch2 = 2.089 lb/ft2 = 9.869 H 10-4 atm = 10-3 bar = 0.4015 inch H2O = 0.07501 cm Hg 1 inch of water at 4EC (inch H2O) = 2491 dynes/cm2 = 249.1 nt/m2 = 0.03613 lb/inch2 = 5.202 lb/ft2 = 2.458 H 10-3 atm = 2.491 H 10-3 bar = 2.491 mb = 0.1868 cm Hg 1 centimeter of mercury at 0EC (cm Hg) = 1.333 H 104 dynes/cm2 = 1333 nt/m2 = 0.1934 lb/inch2 = 27.85 lb/ft2 = 0.01316 atm = 0.01333 bar = 13.33 mb = 5.353 inches H2O Energy (E): Systeme International (SI) base unit: joule (J = nt m) Dimensions: ML2t-2 1 erg = 10-7 joule = 2.778 H 10-14 kw hr = 7.376 H 10-8 ft lb = 3.725 H 10-14 hp hr = 2.389 H 10-8 cal = 9.485 H 10-11 Btu 1 joule = 107 ergs = 2.778 H 10-7 kw hr = 0.7376 ft lb = 3.725 H 10-7 hp hr = 0.2389 cal = 9.485 H 10-4 Btu 1 kilowatt hour (kw hr) = 3.6 H 1013 ergs = 3.6 H 106 joules = 2.655 H 106 ft lb = 1.341 hp hr = 8.601 H 105 cal = 3415 Btu 1 foot pound (ft lb) = 1.356 H 107 ergs = 1.356 joules = 3.766 H 10-7 kw hr = 5.051 H 10-7 hp hr = 0.3239 cal = 1.286 H 10-3 Btu VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004 APPENDICES 219 1 horsepower hour (hp hr) = 2.685 H 1013 ergs = 2.685 H 106 joules = 0.7457 kw hr = 1.98 H 106 ft lb = 6.413 H 105 cal = 2546 Btu 1 calorie at 15EC (cal) = 4.186 H 107 ergs = 4.186 joules = 1.163 H 10-6 kw hr = 3.087 ft lb = 1.559 H 10-6 hp hr = 3.970 H 10-3 Btu 1 British thermal unit (Btu) = 1.054 H 1010 ergs = 1054 joules = 2.929 H 10-4 kw hr = 777.6 ft lb = 3.928 H 10-4 hp hr = 251.9 cal Power (P): Systeme International (SI) base unit: watt (J/s) Dimensions: ML2t-3 1 watt [1 joule per second] = 10-3 kw = 0.7376 ft lb/sec = 44.25 ft lb/min = 1.341 H 10-3 hp = 0.2389 cal/sec = 3.414 Btu/hr 1 kilowatt (kw) = 103 watts = 737.6 ft lb/sec = 4.425 H 104 ft lb/min = 1.341 hp = 238.9 cal/sec = 3414 Btu/hr 1 foot pound per second (ft lb/sec) = 1.356 watts = 1.356 H 10-3 kw = 60 ft lb/min = 1.818 H 10-3 hp = 0.3239 cal/sec = 4.629 Btu/hr 1 foot pound per minute (ft lb/min) = 0.02260 watt = 2.260 H 10-5 kw = 0.01667 ft lb/sec = 3.030 H 10-5 hp = 5.398 H 10-3 cal/sec = 0.07716 Btu/hr 1 horsepower (hp) = 745.7 watts = 0.7457 kw = 550 ft lb/sec = 3.300 H 104 ft lb/min = 178.1 cal/sec = 2546 Btu/hr VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004 220 APPENDICES 1 calorie per second (cal/sec) = 4.186 watts = 4.186 H 10-3 kw = 3.087 ft lb/sec = 185.2 ft lb/min = 5.613 H 10-3 hp = 14.29 Btu/hr 1 British thermal unit per hour (Btu/hr) = 0.2929 watt = 2.929 H 10-4 kw = 0.2160 ft lb/sec = 12.96 ft lb/min = 3.928 H 10-4 hp = 0.06997 cal/sec Temperature (T): Systeme International (SI) base unit: Kelvin (K) Dimensions: T Degrees Celcius (EC) = K - 273 = (5/9)(EF - 32) Kelvin (K) = EC + 273 = (5/9)(EF - 32) + 273 Degrees Fahrenheit (EF) = (9/5)EC + 32 = (9/5)(K - 273) + 32 Yield: 1 kilogram per hectare (kg/ha) = 10-3 metric ton/ha = 0.8922 lb/acre = 8.922 H 10-3 cwt/acre = 4.461 H 10-4 short ton/acre 1 metric ton per hectare (metric ton/ha) =103 kg/ha = 892.2 lb/acre = 8.922 cwt/acre = 0.4461 short ton/acre 1 pound per acre (lb/acre) = 1.121 kg/ha =1.121 H 10-3 metric ton/ha = 10-2 cwt/acre = 5 H 10-4 short ton/acre 1 hundredweight per acre (cwt/acre) = 112.1 kg/ha = 0.1121 metric ton/ha = 100 lb/acre = 0.05 short ton/acre VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004 APPENDICES 221 1 short ton per acre (short ton/acre) = 2242 kg/ha = 2.242 metric ton/ha = 2000 lb/acre = 20 cwt/acre 1 liter per hectare (liter/ha) = 10-2 hl/ha = 0.01148 bu/acre 1 hectoliter per hectare (hg/ha) = 102 liters/ha = 1.148 bu/acre 1 U.S. bushel per acre (bu/acre) = 87.08 liters/ha = 0.8708 hl/ha Flow (Q) : Systeme International (SI) base unit: meter3/sec (m3/s) Dimensions: L3t-1 1 cubic centimeter per second (cm3/sec) = 10-3 liter/sec = 0.06 liter/min = 3.531 H 10-5 ft3/sec = 2.119 H 10-3 ft3/min = 2.642 H 10-4 gal/sec = 0.01585 gal/min 1 liter per second (liter/sec) = 103 cm3/sec = 60 liters/min = 0.03532 ft3/sec = 2.119 ft3/min = 0.2642 gal/sec = 15.85 gal/min 1 liter per minute (liter/min) = 16.67 cm3/sec = 0.01667 liter/sec = 5.886 H 10-4 ft3/sec = 0.03532 ft3/min = 4.403 H 10-3 gal/sec = 0.2642 gal/min 1 cubic foot per second (ft3/sec) = 2.832 H 104 cm3/sec = 28.32 liters/sec = 1699 liters/min = 60 ft3/min = 7.481 gal/sec = 448.8 gal/min = 0.9917 acre-inch/hr 1 cubic foot per minute (ft3/min) = 471.9 cm3/sec = 0.4719 liter/sec = 28.32 liters/min = 0.01667 ft3/sec = 0.1247 gal/sec = 7.481 gal/min = 0.01653 acre-inch/hr VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004 222 APPENDICES 1 U.S. fluid gallon per second (gal/sec) = 3785 cm3/sec = 3.785 liters/sec = 227.1 liter/min = 0.1337 ft3/sec = 8.021 ft3/min = 60 gal/min 1 U.S. fluid gallon per minute (gal/min) = 63.09 cm3/sec = 0.06309 liter/sec = 3.785 liter/min = 2.228 H 10-3 ft3/sec = 0.1337 ft3/min = 0.01667 gal/sec Dynamic (absolute) Viscosity (µ): Systeme International (SI) base unit: (nt s /m2) Dimensions: ML-1t-1 1 slug/ft s = 1 lb s/ft2 = 47.88 kg/m s = 47.88 N s/m2 1 poise = 1 dynes s/cm2 = 0.1 N s/m2 Kinematic Viscosity (v): Systeme International (SI) base unit: meter2/sec (m2/s) Dimensions: L2 t-1 1 ft2/s = 0.0929 m2/s 1 stoke = 1 cm2/s = 0.00108 ft2/s 1 m2/s = 10.764 ft2/s VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004 APPENDICES 223 Selected Physical Constants cpa Specific heat capacity of dry air = 1.003 H 107 ergs/gEC = 1003 joules/kgEC = 0.2396 cal/gEC e Base of the natural logarithms = 2.71828 FN Faraday constant = 96,500 coulombs per gram equivalent g Acceleration of gravity: normal acceleration = 980.665 cm/sec2 =9.80665 m/sec2 = 32.1740 ft/sec2 k von Karman constant = about 0.41 (unitless) L Latent heat of vaporization of water: at 0EC = 2.494 H 1010 ergs/g = 2.494 H 106 joules/kg = 595.9 cal/g at 20EC = 2.448 H 1010 ergs/g = 2.448 H 106 joules/kg = 584.9 cal/g at 100EC = 2.259 H 1010 ergs/g = 2.259 H 106 joules/kg = 539.55 cal/g NA Avogadro=s number = 6.023 H 1023 molecules/mole Pa Pressure of the atmosphere: standard atmosphere = 1.01325 H 106 dynes/cm2 = 1.01325 H 105 nt/m2 = 14.69 lb/inch2 = 2117 lb/ft2 R* Universal gas constant (gas constant per mole) = 8.314 H 107 ergs/K mole = 8.314 joules/K mole = 1.986 cal/K mole RN Solar constant = 1.35 H 106 ergs/cm2 sec = 1.35 H 103 watts/m2 = 1.94 cal/cm2 min (langleys/min) γ Psychrometric constant at 1 standard atmosphere and 20EC = 0.667 mb/K = 0.278 mm Hg/EF ε Ratio of the molecular weight of water to that of air = 0.622 (unitless) ρa Density of dry air: at 1 standard atmosphere and 0EC = 1.293 H 10-3 g/cm3 = 1.293 kg/m3 = 2.508 H 10-3 slug/ft3 ρw Density of water: maximum density at 1 standard atmoshphere and 3.98EC = 0.99997 g/cm3 = 1.00000 g/ml ρHg Density of mercury: at 1 standard atmosphere and 0EC = 13.595 g/cm3 = 13,595 kg/m3 = 26.38 slugs/ft3 π = 3.14159 σ Stefan-Boltzmann constant = 5.67 H 10-5 ergs/K4 cm2 sec = 5.67 H 10-8 watts/K4 m2 = 8.127 H 10-11 cal/K4 cm2 min (langley/K4 min) Boltzmann constant = 1.381 H 10-16 ergs/K = 1.381 H 10-23 joules/K = 3.298 H 10-24 cal/K Ice point = 273.16 K VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004 224 APPENDICES Properties of Liquid Water Temperature Density 3 a Specificb Heat Capacity Vapor Pressure Viscosity Thermal Conduc- Dielectric Constant Surface Tension tivity EC g/cm J/g K kPa FPa s mW/K m mN/m 0 0.99984 4.2176 0.6113 1793 561.0 87.90 75.64 10 0.99970 4.1921 1.2281 1307 580.0 83.96 74.23 20 0.99821 4.1818 2.3388 1002 598.4 80.20 72.75 30 0.99565 4.1784 4.2455 797.7 615.4 76.60 71.20 40 0.99222 4.1785 7.3814 653.2 630.5 73.17 69.60 50 0.98803 4.1806 12.344 547.0 643.5 69.88 67.94 60 0.98320 4.1843 19.932 466.5 654.3 66.73 66.24 70 0.97778 4.1895 31.176 404.0 663.1 63.73 64.47 80 0.97182 4.1963 47.373 354.4 670.0 60.86 62.67 90 0.96535 4.2050 70.117 314.5 675.3 58.12 60.82 100 0.95840 4.2159 101.325 281.8 679.1 55.51 58.91 a All values (except vapor pressure) given for 100 kPa (1bar) pressure. b Specific heat capacity at constant pressure (Cp). VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004 APPENDICES 225 Symbol, Dimensions, and International System (SI) of Units for Soil Water Terms Term Symbol Dimensions SI Units Bowen ratio β ---- (sensible heat flux)/(latent heat flux) Chemical potential µ L2t-2 J/kg Cumulative depth of infiltration I L m Degree of saturation S ---- (volume water)/(volume fluids) Depth ratio of soil water θv ---- (depth water)/(unit depth soil) Discharge rate Q L3t-1 m3/s Dispersivity λ L m Distribution coefficient kd ---- (adsorbed concentration)/ (solute concentration) Dry bulk density ρb ML-3 Mg/m3, g/cm3 Equivalent depth of soil water De L m Gravitational head z L m Gravitational potentiala ψz ML-1t-2 N/m2, Pa Heat capacity c ML2t-2K-1 J/K Hydraulic head H L m Hydraulic potentiala ψh ML-1t-2 N/m2, Pa Hydrodynamic dispersion coefficient Dh L2t-1 m2/s Infiltration rate I Lt-1 m/s Latent heat flux LEt Mt-3 W/m2 Liquid dynamic viscosity η ML-1t-1 Pa s Mass water content θm ---- (mass water)/(mass dry soil) Matric potentiala ψm ML-1t-2 N/m2, Pa Mean particle density ρs ML-3 Mg/m3, g/cm3 RN Mt-3 W/m2 (Soil water storage) (Density of solids) Net radiation VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004 226 APPENDICES Term Symbol k Dimensions L2 SI Units m2 Pore water velocity v Lt-1 m/s Porosity n ---- (volume fluids)/(total volume) Pressure potentiala ψp ML-1t-2 N/m2, Pa Retardation factor R ----- (change in concentration)/ (change in time) Saturated hydraulic conductivity Ks Lt-1 m/s Saturated water content θs ---- (volume water at saturation)/ (total volume) Sensible heat flux H Mt-3 W/m2 Soil thermal conductivity λ Mt-3K-1 J/m s K Soil water head (matric head) H L m Soil bulk dielectric constant εb ---- [(propogation velocity in vacuum)/(propogation velocity 2 in medium)] Soil heat flux G Mt-3 W/m2 Soil water diffusivity D Lt-1 m/s Solute (osmotic) potentiala ψs ML-1t-2 N/m2, Pa Sorptivity S Lt-1/2 m/s1/2 Total potentiala ψT ML-1t-2 N/m2, Pa Void ratio e ---- (volume fluids)/(volume solids) Volumetric water content θv ---- (volume water)/(total volume) Water density ρw ML-3 g/cm3 Water vapor pressure e ML-1t-2 Pa, N/m2 Water flux density Jw Lt-1 m/s Water vapor potentiala ψw ML-1t-2 N/m2, Pa Permeability a Dimensions and units given for volumetric potential (energy per unit volume). VADOSE ZONE HYDROLOGY/ENVIRONMENTAL SOIL PHYSICS SPRING 2004
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