Preface |
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xi | |
Frequently Used Notation |
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xiii | |
Part One. Two-Phase Flow |
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1 Thermodynamic and Single-Phase Flow Fundamentals |
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3 | (35) |
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1.1 States of Matter and Phase Diagrams for Pure Substances |
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3 | (4) |
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3 | (2) |
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5 | (2) |
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1.2 Transport Equations and Closure Relations |
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7 | (3) |
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1.3 Single-Phase Multicomponent Mixtures |
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10 | (5) |
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1.4 Phase Diagrams for Binary Systems |
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15 | (2) |
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1.5 Thermodynamic Properties of Vapor-Noncondensable Gas Mixtures |
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17 | (4) |
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21 | (5) |
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21 | (1) |
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21 | (4) |
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1.6.3 Diffusion in Liquids |
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25 | (1) |
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1.7 Turbulent Boundary Layer Velocity and Temperature Profiles |
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26 | (4) |
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1.8 Convective Heat and Mass Transfer |
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30 | (8) |
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2 Gas—Liquid Interfacial Phenomena |
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38 | (51) |
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2.1 Surface Tension and Contact Angle |
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38 | (6) |
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38 | (3) |
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41 | (1) |
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2.1.3 Dynamic Contact Angle and Contact Angle Hysteresis |
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42 | (1) |
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2.1.4 Surface Tension Nonuniformity |
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43 | (1) |
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2.2 Effect of Surface-Active Impurities on Surface Tension |
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44 | (2) |
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2.3 Thermocapillary Effect |
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46 | (3) |
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2.4 Disjoining Pressure in Thin Films |
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49 | (1) |
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2.5 Liquid—Vapor Interphase at Equilibrium |
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50 | (2) |
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2.6 Attributes of Interfacial Mass Transfer |
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52 | (7) |
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2.6.1 Evaporation and Condensation |
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52 | (5) |
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2.6.2 Sparingly Soluble Gases |
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57 | (2) |
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2.7 Semi-Empirical Treatment of Interfacial Transfer Processes |
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59 | (5) |
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2.8 Interfacial Waves and the Linear Stability Analysis Method |
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64 | (2) |
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2.9 Two-Dimensional Surface Waves on the Surface of an Inviscid and Quiescent Liquid |
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66 | (2) |
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2.10 Rayleigh—Taylor and Kelvin—Helmholtz Instabilities |
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68 | (6) |
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2.11 Rayleigh—Taylor Instability for a Viscous Liquid |
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74 | (2) |
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2.12 Waves at the Surface of Small Bubbles and Droplets |
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76 | (4) |
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2.13 Growth of a Vapor Bubble in Superheated Liquid |
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80 | (9) |
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3 Two-Phase Mixtures, Fluid Dispersions, and Liquid Films |
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89 | (32) |
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3.1 Introductory Remarks about Two-Phase Mixtures |
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89 | (1) |
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3.2 Time, Volume, and Composite Averaging |
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90 | (3) |
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3.2.1 Phase Volume Fractions |
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90 | (2) |
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3.2.2 Averaged Properties |
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92 | (1) |
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93 | (1) |
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3.4 Some Important Definitions for Two-Phase Mixture Flows |
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94 | (3) |
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3.4.1 General Definitions |
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94 | (1) |
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3.4.2 Definitions for Flow Area-Averaged one-Dimensional Flow |
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95 | (2) |
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3.4.3 Homogeneous-Equilibrium Flow |
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97 | (1) |
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3.5 Convention for the Remainder of This Book |
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97 | (1) |
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3.6 Particles of One Phase Dispersed in a Turbulent Flow Field of Another Phase |
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98 | (9) |
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3.6.1 Turbulent Eddies and Their Interaction with Suspended Fluid Particles |
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98 | (5) |
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3.6.2 The Population Balance Equation |
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103 | (2) |
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105 | (1) |
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106 | (1) |
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3.7 Conventional, Mini-, and Microchannels |
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107 | (5) |
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3.7.1 Basic Phenomena and Size Classification for Single-Phase Flow |
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107 | (4) |
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3.7.2 Size Classification for Two-Phase Flow |
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111 | (1) |
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3.8 Laminar Falling Liquid Films |
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112 | (2) |
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3.9 Turbulent Falling Liquid Films |
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114 | (1) |
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3.10 Heat Transfer Correlations for Falling Liquid Films |
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115 | (2) |
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3.11 Mechanistic Modeling of Liquid Films |
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117 | (4) |
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4 Two-Phase Flow Regimes — I |
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121 | (16) |
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121 | (1) |
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4.2 Two-Phase Flow Regimes in Adiabatic Pipe Flow |
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122 | (7) |
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4.2.1 Vertical, Cocurrent, Upward Flow |
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122 | (4) |
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4.2.2 Cocurrent Horizontal Flow |
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126 | (3) |
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4.3 Flow Regime Maps for Pipe Flow |
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129 | (1) |
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4.4 Two-Phase Flow Regimes in Vertical Rod Bundles |
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130 | (4) |
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4.5 Comments on Empirical Flow Regime Maps |
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134 | (3) |
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5 Two-Phase Flow Modeling |
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137 | (36) |
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137 | (1) |
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5.2 Local Instantaneous Equations and Interphase Balance Relations |
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138 | (3) |
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5.3 Two-Phase Flow Models |
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141 | (1) |
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142 | (2) |
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5.5 One-Dimensional Homogeneous-Equilibrium Model: Single-Component Fluid |
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144 | (4) |
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5.6 One-Dimensional Homogeneous-Equilibrium Model: Two-Component Mixture |
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148 | (1) |
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5.7 One-Dimensional Separated Flow Model: Single-Component Fluid |
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149 | (9) |
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5.8 One-Dimensional Separated-Flow Model: Two-Component Fluid |
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158 | (2) |
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5.9 Multidimensional Two-Fluid Model |
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160 | (3) |
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5.10 Numerical Solution of Steady, One-Dimensional Conservation Equations |
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163 | (10) |
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5.10.1 Casting the One-Dimensional ODE Model Equations in a Standard Form |
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163 | (6) |
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5.10.2 Numerical Solution of the ODES |
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169 | (4) |
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6 The Drift Flux Model and Void—Quality Relations |
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173 | (13) |
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6.1 The Concept of Drift Flux |
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173 | (3) |
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6.2 Two-Phase Flow Model Equations Based on the DFM |
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176 | (1) |
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6.3 DFM Parameters for Pipe Flow |
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177 | (1) |
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6.4 DFM Parameters for Rod Bundles |
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178 | (1) |
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179 | (1) |
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6.6 Void—Quality Correlations |
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180 | (6) |
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7 Two-Phase Flow Regimes — II |
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186 | (21) |
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186 | (1) |
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7.2 Upward, Cocurrent Flow in Vertical Tubes |
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186 | (7) |
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7.2.1 Flow Regime Transition Models of Taitel et al. |
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186 | (3) |
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7.2.2 Flow Regime Transition Models of Mishima and Ishii |
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189 | (4) |
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7.3 Cocurrent Flow in a Near-Horizontal Tube |
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193 | (4) |
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7.4 Two-Phase Flow in an Inclined Tube |
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197 | (2) |
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7.5 Dynamic Flow Regime Models and Interfacial Surface Area Transport Equations |
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199 | (8) |
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7.5.1 The Interfacial Area Transport Equation |
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199 | (2) |
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7.5.2 Simplification of the Interfacial Area Transport Equation |
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201 | (6) |
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8 Pressure Drop in Two-Phase Flow |
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207 | (21) |
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207 | (1) |
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8.2 Two-Phase Frictional Pressure Drop in Homogeneous Flow and the Concept of a Two-Phase Multiplier |
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208 | (2) |
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8.3 Empirical Two-Phase Frictional Pressure Drop Methods |
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210 | (4) |
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8.4 General Remarks about Local Pressure Drops |
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214 | (1) |
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8.5 Single—Phase Flow Pressure Drops Caused by Flow Disturbances |
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215 | (5) |
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8.5.1 Single-Phase Flow Pressure Drop across a Sudden Expansion |
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217 | (2) |
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8.5.2 Single-Phase Flow Pressure Drop across a Sudden Contraction |
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219 | (1) |
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8.5.3 Pressure Change Caused by Other Flow Disturbances |
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219 | (1) |
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8.6 Two-Phase Flow Local Pressure Drops |
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220 | (8) |
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9 Countercurrent Flow Limitation |
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228 | (17) |
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228 | (5) |
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9.2 Flooding Correlations for Vertical Flow Passages |
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233 | (3) |
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9.3 Flooding in Horizontal, Perforated Plates and Porous Media |
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236 | (1) |
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9.4 Flooding in Vertical Annular or Rectangular Passages |
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237 | (3) |
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9.5 Flooding Correlations for Horizontal and Inclined Flow Passages |
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240 | (1) |
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9.6 Effect of Phase Change on CCFL |
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240 | (1) |
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9.7 Modeling of CCFL Based on the Separated-Flow Momentum Equations |
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241 | (4) |
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10 Two-Phase Flow in Small Flow Passages |
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245 | (42) |
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10.1 Two-Phase Flow Regimes in Minichannels |
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245 | (7) |
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10.2 Void Fraction in Minichannels |
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252 | (2) |
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10.3 Two-Phase Flow Regimes and Void Fraction in Microchannels |
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254 | (3) |
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10.4 Two-Phase Flow and Void Fraction in Thin Rectangular Channels and Annuli |
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257 | (4) |
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10.4.1 Flow Regimes in Vertical and Inclined Channels |
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258 | (1) |
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10.4.2 Flow Regimes in Rectangular Channels and Annuli |
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259 | (2) |
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10.5 Two-Phase Pressure Drop |
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261 | (7) |
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10.6 Semitheoretical Models for Pressure Drop in the Intermittent Flow Regime |
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268 | (3) |
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10.7 Ideal, Laminar Annular Flow |
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271 | (1) |
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10.8 The Bubble Train (Taylor Flow) Regime |
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272 | (7) |
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272 | (3) |
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10.8.2 Some Useful Correlations |
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275 | (4) |
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10.9 Pressure Drop Caused by Flow-Area Changes |
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279 | (8) |
Part Two. Boiling And Condensation |
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287 | (34) |
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11.1 The Pool Boiling Curve |
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287 | (4) |
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11.2 Heterogeneous Bubble Nucleation and Ebullition |
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291 | (9) |
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11.2.1 Heterogeneous Bubble Nucleation and Active Nucleation Sites |
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291 | (5) |
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296 | (3) |
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11.2.3 Heat Transfer Mechanisms in Nucleate Boiling |
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299 | (1) |
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11.3 Nucleate Boiling Correlations |
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300 | (6) |
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11.4 The Hydrodynamic Theory of Boiling and Critical Heat Flux |
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306 | (3) |
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309 | (7) |
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11.5.1 Film Boiling on a Horizontal, Flat Surface |
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309 | (3) |
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11.5.2 Film Boiling on a Vertical, Flat Surface |
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312 | (3) |
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11.5.3 Film Boiling on Horizontal Tubes |
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315 | (1) |
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11.5.4 The Effect of Thermal Radiation in Film Boiling |
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315 | (1) |
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11.6 Minimum Film Boiling |
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316 | (2) |
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318 | (3) |
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321 | |
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12.1 Forced-Flow Boiling Regimes |
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321 | (7) |
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328 | (1) |
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12.3 Flow Patterns and Temperature Variation in Subcooled Boiling |
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329 | (2) |
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12.4 Onset of Nucleate Boiling |
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331 | (5) |
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12.5 Empirical Correlations for the Onset of Significant Void |
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336 | (1) |
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12.6 Mechanistic Models for Hydrodynamically Controlled Onset of Significant Void |
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337 | (3) |
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12.7 Transition from Partial Boiling to Fully Developed Subcooled Boiling |
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340 | (1) |
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12.8 Hydrodynamics of Subcooled Flow Boiling |
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341 | (5) |
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12.9 Pressure Drop in Subcooled Flow Boiling |
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346 | (1) |
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12.10 Partial Flow Boiling |
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347 | (1) |
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12.11 Fully Developed Subcooled Flow Boiling Heat Transfer Correlations |
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347 | (2) |
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12.12 Characteristics of Saturated Flow Boiling |
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349 | (1) |
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12.13 Saturated Flow Boiling Heat Transfer Correlations |
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350 | (8) |
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12.14 Flow-Regime-Dependent Correlations for Saturated Boiling in Horizontal Channels |
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358 | (4) |
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12.15 Two-Phase Flow Instability |
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362 | |
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12.15.1 Static Instabilities |
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362 | (3) |
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12.15.2 Dynamic Instabilities |
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365 | |
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13 Critical Heat Flux and Post-CHF Heat Transfer in Flow Boiling |
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171 | (234) |
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13.1 Critical Heat Flux Mechanisms |
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371 | (3) |
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13.2 Experiments and Parametric Trends |
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374 | (4) |
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13.3 Correlations for Upward Flow in Vertical Channels |
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378 | (9) |
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13.4 Correlations for Subcooled Upward Flow of Water in Vertical Channels |
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387 | (2) |
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13.5 Mechanistic Models for DNB |
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389 | (3) |
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13.6 Mechanistic Models for Dryout |
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392 | (2) |
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13.7 CHF in Inclined and Horizontal Channels |
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394 | (5) |
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13.8 Post-Critical Heat Flux Heat Transfer |
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399 | (6) |
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14 Flow Boiling and CHF in Small Passages |
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405 | (31) |
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14.1 Minichannel- and Microchannel-Based Cooling Systems |
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405 | (2) |
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14.2 Boiling Two-Phase Flow Patterns and Flow Instability |
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407 | (7) |
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14.2.1 Flow Regimes in Minichannels with Hard Inlet Conditions |
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410 | (1) |
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14.2.2 Flow Regimes in Arrays of Parallel Channels |
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411 | (3) |
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14.3 Onset of Nucleate Boiling and Onset of Significant Void |
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414 | (5) |
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14.3.1 ONB and OSV in Channels with Hard Inlet Conditions |
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414 | (3) |
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14.3.2 Boiling Initiation and Evolution in Arrays of Parallel Mini- and Microchannels |
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417 | (2) |
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14.4 Boiling Heat Transfer |
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419 | (8) |
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14.4.1 Background and Experimental Data |
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419 | (1) |
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14.4.2 Boiling Heat Transfer Mechanisms |
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420 | (3) |
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14.4.3 Flow Boiling Correlations |
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423 | (4) |
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14.5 Critical Heat Flux in Small Channels |
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427 | (9) |
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14.5.1 General Remarks and Parametric Trends in the Available Data |
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427 | (3) |
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14.5.2 Models and Correlations |
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430 | (6) |
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15 Fundamentals of Condensation |
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436 | (26) |
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15.1 Basic Processes in Condensation |
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436 | (3) |
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15.2 Thermal Resistances in Condensation |
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439 | (2) |
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15.3 Laminar Condensation on Isothermal, Vertical, and Inclined Flat Surfaces |
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441 | (6) |
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15.4 Empirical Correlations for Wavy-Laminar and Turbulent Film Condensation on Vertical Flat Surfaces |
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447 | (2) |
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449 | (1) |
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15.6 Laminar Film Condensation on Horizontal Tubes |
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450 | (4) |
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15.7 Condensation in the Presence of a Noncondensable |
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454 | (3) |
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457 | (5) |
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16 Internal-Flow Condensation and Condensation on Liquid Jets and Droplets |
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462 | (37) |
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462 | (1) |
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16.2 Two-Phase Flow Regimes |
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463 | (4) |
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16.3 Condensation Heat Transfer Correlations for a Pure Saturated Vapor |
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467 | (10) |
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16.3.1 Correlations for Vertical, Downward Flow |
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467 | (2) |
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16.3.2 Correlations for Horizontal Flow |
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469 | (3) |
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16.3.3 Semi-Analytical Models for Horizontal Flow |
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472 | (5) |
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16.4 Effect of Noncondensables on Condensation Heat Transfer |
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477 | (1) |
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16.5 Direct-Contact Condensation |
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478 | (5) |
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16.6 Mechanistic Models for Condensing Annular Flow |
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483 | (5) |
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16.7 Flow Condensation in Small Channels |
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488 | (3) |
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16.8 Condensation Flow Regimes and Pressure Drop in Small Channels |
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491 | (2) |
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16.8.1 Flow Regimes in Minichannels |
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491 | (1) |
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16.8.2 Flow Regimes in Microchannels |
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492 | (1) |
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16.8.3 Pressure Drop in Condensing Two-Phase Flows |
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493 | (1) |
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16.9 Flow Condensation Heat Transfer in Small Channels |
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493 | (6) |
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17 Choking in Two-Phase Flow |
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499 | (30) |
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499 | (1) |
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17.2 Velocity of Sound in Single-Phase Fluids |
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499 | (2) |
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17.3 Critical Discharge Rate in Single-Phase Flow |
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501 | (1) |
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17.4 Choking in Homogeneous Two-Phase Flow |
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502 | (2) |
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17.5 Choking in Two-Phase Flow with Interphase Slip |
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504 | (1) |
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17.6 Critical Two-Phase Flow Models |
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505 | (7) |
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17.6.1 The Homogeneous-Equilibrium Isentropic Model |
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505 | (2) |
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17.6.2 Critical Flow Model of Moody |
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507 | (2) |
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17.6.3 Critical Flow Model of Henry and Fauski |
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509 | (3) |
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17.7 RETRAN Curve Fits for Critical Discharge of Water and Steam |
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512 | (2) |
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17.8 Critical Flow Models of Leung and Grolmes |
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514 | (5) |
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17.9 Choked Two-Phase Flow in Small Passages |
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519 | (4) |
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17.10 Nonequilibrium Mechanistic Modeling of Choked Two-Phase Flow |
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523 | (6) |
Appendix A: Thermodynamic Properties of Saturated Water and Steam |
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529 | (2) |
Appendix B: Transport Properties of Saturated Water and Steam |
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531 | (2) |
Appendix C: Thermodynamic Properties of Saturated Liquid and Vapor for Selected Refrigerants |
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533 | (10) |
Appendix D: Properties of Selected Ideal Gases at 1 Atmosphere |
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543 | (6) |
Appendix E: Binary Diffusion Coefficients of Selected Gases in Air at 1 Atmosphere |
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549 | (2) |
Appendix F: Henry's Constant of Dilute Aqueous Solutions of Selected Substances at Moderate Pressures |
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551 | (2) |
Appendix G: Diffusion Coefficients of Selected Substances in Water at Infinite Dilution at 25°C |
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553 | (2) |
Appendix H: Lennard—Jones Potential Model Constants for Selected Molecules |
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555 | (2) |
Appendix I: Collision Integrates for the Lennard—Jones Potential Model |
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557 | (2) |
Appendix J: Physical Constants |
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559 | (2) |
Appendix K: Unit Conversions |
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561 | (2) |
References |
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563 | (38) |
Index |
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601 | |