| Acknowledgments |
|
v | |
| Preface |
|
vii | |
| Introduction |
|
xi | |
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xxix | |
| I Energy Transfer |
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1 | (172) |
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Equilibrium, Energy Conservation, and Temperature |
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3 | (12) |
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Thermal Equilibrium and the Laws of Thermodynamics |
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5 | (1) |
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5 | (1) |
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5 | (1) |
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5 | (1) |
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Non-Equilibrium Thermodynamics and the Transport of Energy |
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6 | (1) |
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Temperature in Living Systems |
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6 | (4) |
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Temperature Response to Human Body |
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7 | (1) |
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Temperature Sensation in Humans |
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7 | (2) |
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Thermal Comfort of Human and Animals |
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9 | (1) |
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Temperature in the Environment |
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10 | (1) |
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10 | (1) |
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11 | (1) |
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Chapter Summary---Energy Conservation and Temperature |
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12 | (1) |
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Concept and Review Questions |
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13 | (1) |
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13 | (2) |
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15 | (12) |
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15 | (7) |
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Thermal Conductivity of Biological and Other Materials |
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20 | (1) |
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20 | (1) |
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Density and Specific Heat |
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21 | (1) |
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22 | (1) |
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23 | (1) |
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Chapter Summary---Modes of Heat Transfer |
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23 | (1) |
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Concept and Review Questions |
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24 | (1) |
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24 | (1) |
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25 | (2) |
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Governing Equation and Boundary Conditions of Heat Transfer |
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27 | (18) |
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Governing Equation for Heat Transfer Derived |
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29 | (5) |
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Meaning of Each Term in the Governing Equation |
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31 | (1) |
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Examples of Thermal Source (Generation) Term in Biological Systems |
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31 | (1) |
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Utility of the Energy Equation |
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32 | (2) |
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General Boundary Conditions |
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34 | (2) |
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The Bioheat Transfer Equation for Mammalian Tissue |
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36 | (2) |
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Governing Equation Derived in Cylindrical Coordinates |
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38 | (2) |
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Governing Equations in Various Coordinate Systems |
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40 | (2) |
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An Algorithm to Solve Transport Problems |
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42 | (1) |
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Chapter Summary---Governing Equations and Boundary Conditions |
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43 | (1) |
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Concept and Review Questions |
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43 | (1) |
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44 | (1) |
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44 | (1) |
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Conduction Heat Transfer: Steady-State |
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45 | (24) |
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Steady-State Heat Conduction in a Slab |
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47 | (3) |
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Thermal Resistance and Overall Heat Transfer Coefficient |
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48 | (2) |
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Steady-State Heat Conduction in a Cylinder |
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50 | (5) |
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Thermal Resistance Term for the Hollow Cylinder |
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52 | (1) |
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Comparison with the Solution for the Slab |
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52 | (1) |
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Thickness of Fur in Small and Large Animals |
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53 | (2) |
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Steady-State Heat Conduction in a Slab with Internal Heat Generation |
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55 | (3) |
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Thermoregulation-Maintaining the Core Body Temperature of Human and Animals |
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56 | (2) |
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Steady-State Heat Transfer from Extended Surfaces: Fins |
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58 | (3) |
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Fins and Bio-heat Transfer |
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60 | (1) |
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Chapter Summary---Steady-State Heat Conduction |
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61 | (1) |
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Concept and Review Questions |
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62 | (1) |
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63 | (1) |
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64 | (5) |
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Conduction Heat Transfer: Unsteady State |
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69 | (26) |
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Transient Heat Transfer with No Internal Resistance |
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71 | (1) |
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Biot Number: Deciding When to Ignore the Internal Resistance |
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72 | (3) |
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Transient Heat Transfer with Internal Resistance |
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75 | (7) |
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How Temperature Changes with Time |
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77 | (1) |
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Temperature Change with Position and Spatial Average |
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77 | (1) |
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Temperature Change with Size |
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78 | (1) |
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Charts Developed from the Solutions: Their Uses and Limitations |
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78 | (2) |
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Internal and External Resistance |
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80 | (1) |
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Numerical Methods as Alternatives to the Charts |
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81 | (1) |
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Transient Heat Transfer in a Finite Geometry---Multi-Dimensional Problems |
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82 | (1) |
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82 | (4) |
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Chapter Summary---Transient Heat Conduction |
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86 | (1) |
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Concept and Review Questions |
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86 | (1) |
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86 | (1) |
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87 | (8) |
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95 | (28) |
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Governing Equation for Convection |
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95 | (2) |
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Temperature Profiles and Boundary Layers Over a Surface |
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97 | (2) |
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Laminar and Turbulent Flows |
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99 | (1) |
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Convective Heat Transfer Coefficient Defined |
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100 | (1) |
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Significant Parameters in Convective Heat Transfer |
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101 | (3) |
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Convective Heat Transfer Coefficient Calculations |
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104 | (11) |
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Flat plate, Forced Convection |
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106 | (2) |
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Flat plate, Natural Convection |
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108 | (2) |
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Flow Over Cylinder, Natural Convection |
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110 | (1) |
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Flow Over Cylinder, Forced Convection |
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110 | (1) |
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Flow Through Cylinder, Forced Convection |
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111 | (1) |
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Flow Over Sphere, Natural Convection |
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111 | (1) |
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Flow Over Sphere, Forced Convection |
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111 | (1) |
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Laminar vs. Turbulent Flow |
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111 | (1) |
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Orders of Magnitude for Heat Transfer Coefficient Values |
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112 | (1) |
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Coefficients for Air Flow Over Human Subjects |
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112 | (1) |
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Wind Chill Factor and Boundary Layer Thickness |
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112 | (3) |
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Chapter Summary---Convective Heat Transfer |
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115 | (1) |
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Concept and Review Questions |
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115 | (1) |
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116 | (1) |
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117 | (6) |
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Heat Transfer With Change of Phase |
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123 | (22) |
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125 | (1) |
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126 | (2) |
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126 | (1) |
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Property Changes During Freezing |
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127 | (1) |
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Freezing of Solutions and Biomaterials |
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128 | (3) |
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128 | (1) |
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129 | (1) |
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Cooling Rates and Success of Freezing |
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130 | (1) |
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Temperature Profiles and Freezing Time |
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131 | (4) |
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Freezing Time for and Infinite Slab of Pure Liquid |
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131 | (2) |
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Freezing Time for Biomaterials |
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133 | (2) |
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135 | (4) |
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Evaporation from Wet Surfaces |
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136 | (2) |
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Evaporation Inside a Solid Matrix |
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138 | (1) |
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138 | (1) |
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Chapter Summary---Heat Transfer with Change of Phase |
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139 | (1) |
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Concept and Review Questions |
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140 | (1) |
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140 | (2) |
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142 | (3) |
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Radiative Energy Transfer |
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145 | (28) |
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The Electromagnetic Spectrum |
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147 | (1) |
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Reflection, Absorption and Transmission of Waves at a Surface |
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147 | (3) |
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Transmissivity of a Leaf and Photosynthesis |
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148 | (1) |
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Transmissivity of the Atmosphere: Greenhouse Effect |
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149 | (1) |
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Albedo--Reflection from Soil |
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149 | (1) |
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Absorption and Transmission in Biomaterials |
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150 | (1) |
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Thermal Radiation from an Ideal (Black) Body |
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150 | (3) |
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Fraction of Energy Emitted |
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153 | (1) |
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Thermal Radiation from a Real Body: Emissivity |
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154 | (2) |
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Emission from Human Bodies |
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156 | (2) |
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Solar, Atmospheric, and Earth Surface Radiation |
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158 | (2) |
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Solar Radiation--Magnitude and Spectral Distribution |
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158 | (1) |
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Emission from Earth's Surface |
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159 | (1) |
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159 | (1) |
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160 | (1) |
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Radiative Exchange Between Bodies |
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160 | (5) |
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Radiative Heat Transfer Coefficient |
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163 | (1) |
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Radiative Exchange Between a Leaf and Surroundings |
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163 | (2) |
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Radiative Exchange Between Human (or Animal) and Its Surroundings |
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165 | (1) |
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Chapter Summary---Radiative Energy Transfer |
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165 | (2) |
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Concept and Review Questions |
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167 | (1) |
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168 | (1) |
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169 | (4) |
| II Mass Transfer |
|
173 | (140) |
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Equilibrium, Mass Conservation, and Kinetics |
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175 | (20) |
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177 | (2) |
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Concentrations in a Gaseous Mixture |
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177 | (2) |
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Species Mass Balance (Mass Conservation) |
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179 | (1) |
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179 | (6) |
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Equilibrium Between a Gas and a Liquid |
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180 | (2) |
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Equilibrium Between a Gas and A Solid (with Adsorbed Liquid) |
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182 | (3) |
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Equilibrium Between Solid and Liquid in Adsorption |
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185 | (1) |
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Chemical Kinetics: Generation or Depletion of a Mass Species |
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185 | (4) |
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Rate Laws of Homogeneous Reactions |
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186 | (1) |
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186 | (1) |
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187 | (2) |
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189 | (1) |
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189 | (1) |
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Chapter Summary---Equilibrium, Mass Conservation, and Kinetics |
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189 | (1) |
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Concept and Review Questions |
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190 | (1) |
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190 | (1) |
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191 | (4) |
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195 | (28) |
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A Primer on Porous Media Flow |
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197 | (6) |
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Physical Interpretation of Hydraulic Conductivity K and Permeability k |
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198 | (3) |
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Capillarity and Unsaturated Flow in a Porous Media |
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201 | (1) |
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Osmotic Flow in a Porous Media |
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202 | (1) |
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203 | (10) |
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203 | (8) |
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211 | (2) |
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213 | (1) |
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214 | (2) |
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Convection-Diffusion Mass Transfer Over a Surface |
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214 | (2) |
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Convection-Dispersion Mass Transfer |
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216 | (1) |
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Comparison of the Modes of Mass Transfer |
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216 | (2) |
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Chapter Summary---Modes of Mass Transfer |
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218 | (1) |
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Concept and Review Questions |
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219 | (1) |
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219 | (1) |
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220 | (3) |
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Governing Equations and Boundary Conditions of Mass Transfer |
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223 | (14) |
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Modified Fick's Law for Bulk Flow of Convection |
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224 | (3) |
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Velocity and Mass Average Velocity |
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225 | (1) |
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Flux Equation for a Convective Situation |
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225 | (2) |
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Governing Equation for Mass Transfer |
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227 | (3) |
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Meanings of Each Term in the Governing Equation |
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229 | (1) |
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General Boundary Conditions |
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230 | (3) |
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Governing Equations for Mass Diffusion in Various Coordinate Systems |
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233 | (1) |
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Chapter Summary---G.E. & B.C. of Mass Transfer |
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234 | (1) |
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Concept and Review Questions |
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234 | (1) |
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234 | (1) |
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235 | (2) |
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Diffusion Mass Transfer: Steady State |
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237 | (16) |
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Steady-State Mass Diffusion in a Slab |
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238 | (6) |
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One-Dimensional Mass Diffusion Through a Composite Slab---Overall Mass Transfer Coefficient |
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240 | (4) |
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Steady-State Diffusion in a Slab with Chemical Reaction |
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244 | (4) |
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Photosynthesis and the Transport of Water Vapor and CO2 in a Leaf |
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247 | (1) |
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Chapter Summary---Steady-State Mass Diffusion with and Without Chemical Reaction |
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248 | (1) |
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Concept and Review Questions |
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249 | (1) |
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249 | (1) |
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250 | (3) |
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Diffusion Mass Transfer: Unsteady-State |
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253 | (24) |
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Transient Mass Transfer with No Internal Diffusive Resistance |
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254 | (3) |
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Transient Mass Transfer with Internal Diffusive Resistance |
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257 | (5) |
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How Concentration Changes with Time |
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259 | (1) |
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Concentration Change with Position and Spatial Average |
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259 | (1) |
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Concentration Change with Size |
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260 | (1) |
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Charts Developed from the Solutions: Their Uses and Limitations |
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260 | (1) |
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When Both Internal and External Resistances are Present: Convective Boundary Condition |
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261 | (1) |
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Transient Diffusion in a Finite Geometry---Multi-Dimensional Problems |
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262 | (4) |
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Transient Diffusion in a Semi-Infinite Region |
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266 | (3) |
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Chapter Summary---Transient Diffusive Mass Transfer |
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269 | (1) |
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Concept and Review Questions |
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269 | (1) |
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270 | (1) |
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270 | (7) |
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277 | (36) |
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Convection-Dispersion in an Infinite Fluid |
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279 | (5) |
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Convection-Dispersion in a Semi-Infinite Porous Solid |
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284 | (5) |
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Convection-Dispersion in a Semi-Infinite Porous Solid: Inclusion of Sorption |
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289 | (2) |
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Convection-Diffusion in a Stagnant Gas |
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291 | (4) |
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Convection-Diffusion Over a Surface |
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295 | (10) |
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Concentration Profiles and Boundary Layers Over a Surface |
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295 | (3) |
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Convective Mass Transfer Coefficient Defined |
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298 | (1) |
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Significant Parameters in Convective Mass Transfer |
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299 | (1) |
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Calculation and Physical Implications of Convective Mass Transfer Coefficient Values |
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300 | (4) |
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Convection-Diffusion of Heat and Mass (Simultaneous) Over a Surface: Example of a Wet Bulb Thermometer |
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304 | (1) |
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Chapter Summary---Convective Mass Transfer |
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305 | (1) |
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Concept and Review Questions |
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306 | (1) |
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307 | (1) |
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308 | (5) |
| III APPENDIX |
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313 | (62) |
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315 | (6) |
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A.1 Generic Transport Equation and the Physical Meanings of the Constituent Terms |
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316 | (1) |
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A.2 Generic Boundary Conditions and Initial Conditions Needed to Solve the Transport Equation in A.1 |
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316 | (1) |
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A.3 Solution Map for Heat Conduction and Mass Diffusion Problems (Without Bulk Flow) |
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317 | (1) |
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A.4 Solution Map for Mass Diffusion or Dispersion with Bulk Flow (Convection-Diffusion/Dispersion) |
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318 | (1) |
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A.5 Basic Heat and Mass Transfer Parameters and Fluxes |
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319 | (1) |
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A.6 Heat and Mass Transfer Governing Equations and Boundary Conditions |
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320 | (1) |
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B Physical Constants, Unit Conversions, and Mathematical Functions |
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321 | (10) |
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321 | (1) |
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B.2 Some Useful Conversion Factors |
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322 | (3) |
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B.3 Error Function Tabulated |
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325 | (1) |
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B.4 Charts for Unsteady Diffusion |
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326 | (5) |
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C Heat Transfer and Related Properties |
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331 | (14) |
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C.1 Basal Metabolic Rate for a Few Animals |
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332 | (1) |
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C.2 Typical Metabolic Rate for Various Human Activities |
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333 | (1) |
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C.3 Blood Flow, Oxygen Consumption, and Metabolic Rate for Various Human Organs |
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334 | (1) |
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C.4 Thermal Properties of Animal Materials |
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335 | (2) |
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C.5 Thermal Conductivities of Some Animal Hair Coats |
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337 | (1) |
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C.6 Thermal Properties of Some Agricultural Materials |
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338 | (1) |
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C.7 Thermal Properties of Food Materials (Representative Values) |
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339 | (1) |
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C.8 Thermal Properties of Air at Atmospheric Pressure |
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340 | (1) |
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341 | (1) |
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C.10 Vapor Pressure of Liquid Water from 0 to 100°C |
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342 | (1) |
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C.11 Steam Properties at Saturation Temperatures |
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343 | (1) |
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C.12 Thermophysical Properties of Saturated Water |
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344 | (1) |
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D Mass Transfer Properties |
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345 | (12) |
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D.1 Apparent Diffusivities in Solids |
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346 | (1) |
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D.2 Apparent Diffusivities in Liquids |
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347 | (1) |
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D.3 Diffusivities in Air at 1 atm |
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348 | (1) |
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D.4 Representative Values of Resistances to Water Vapor Transport Out of Leaves |
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349 | (1) |
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D.5 Approximate Ranges of Dispersion Coefficients in Surface Water |
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350 | (1) |
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D.6 Approximate Ranges of Dispersion Coefficients in Porous Media |
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351 | (1) |
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D.7 Kinetic Parameters for Various First Order Rate Processes in Biological and Environmental Systems |
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352 | (1) |
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D.8 Surface Tension of Water |
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353 | (1) |
|
D.9 References to Data on Heat and Mass Transfer and Related Properties |
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354 | (3) |
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E Miscellaneous Environmental Data |
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|
357 | (4) |
|
E.1 Atmospheric Temperature, Pressure, and Other Parameters as Function of Altitude |
|
|
358 | (1) |
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E.2 National (U.S.) Primary Ambient Air Quality Standards |
|
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359 | (2) |
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F Equations of Motion in Various Coordinate Systems |
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361 | (4) |
|
F.1 The Equation of Motion in Rectangular Coordinates (x, y, z) |
|
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361 | (1) |
|
F.2 The Equation of Motion in Cylindrical Coordinates (r, θ, z) |
|
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362 | (1) |
|
F.3 The Equation of Motion in Spherical Coordinates (r, θ, φ) |
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362 | (3) |
|
G Some Useful Mathematical Background |
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365 | (10) |
|
G.1 Series Solution to the One-Dimensional Heat Equation |
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365 | (4) |
|
G.2 Similarity Transformation of the Heat Equation |
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369 | (2) |
|
G.3 Lumped Parameter Analysis as Related to the Energy Equation |
|
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371 | (1) |
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G.4 Transformation of the Convection-Diffusion Equation to the Diffusion Equation |
|
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372 | (1) |
|
G.5 Solution to Steady One-Dimensional Diffusion in a Slab with Chemical Reaction |
|
|
373 | (2) |
| Index |
|
375 | |