Symbols |
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xix | |
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1 | (58) |
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2 | (1) |
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1.2 Physical Origins and Rate Equations |
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3 | (9) |
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3 | (3) |
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6 | (2) |
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8 | (4) |
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1.2.4 The Thermal Resistance Concept |
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12 | (1) |
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1.3 Relationship to Thermodynamics |
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12 | (21) |
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1.3.1 Relationship to the First Law of Thermodynamics (Conservation of Energy) |
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13 | (15) |
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1.3.2 Relationship to the Second Law of Thermodynamics and the Efficiency of Heat Engines |
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28 | (5) |
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33 | (2) |
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1.5 Analysis of Heat Transfer Problems: Methodology |
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35 | (3) |
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1.6 Relevance of Heat Transfer |
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38 | (4) |
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42 | (3) |
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45 | (1) |
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45 | (14) |
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Chapter 2 Introduction to Conduction |
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59 | (40) |
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2.1 The Conduction Rate Equation |
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60 | (2) |
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2.2 The Thermal Properties of Matter |
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62 | (12) |
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2.2.1 Thermal Conductivity |
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63 | (7) |
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2.2.2 Other Relevant Properties |
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70 | (4) |
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2.3 The Heat Diffusion Equation |
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74 | (8) |
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2.4 Boundary and Initial Conditions |
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82 | (4) |
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86 | (1) |
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87 | (1) |
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87 | (12) |
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Chapter 3 One-Dimensional, Steady-State Conduction |
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99 | (110) |
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100 | (21) |
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3.1.1 Temperature Distribution |
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100 | (2) |
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102 | (1) |
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103 | (2) |
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105 | (2) |
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107 | (14) |
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3.2 An Alternative Conduction Analysis |
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121 | (4) |
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125 | (6) |
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125 | (5) |
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130 | (1) |
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3.4 Summary of One-Dimensional Conduction Results |
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131 | (1) |
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3.5 Conduction with Thermal Energy Generation |
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131 | (12) |
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132 | (6) |
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138 | (1) |
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3.5.3 Tabulated Solutions |
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139 | (1) |
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3.5.4 Application of Resistance Concepts |
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139 | (4) |
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3.6 Heat Transfer from Extended Surfaces |
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143 | (20) |
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3.6.1 A General Conduction Analysis |
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145 | (2) |
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3.6.2 Fins of Uniform Cross-Sectional Area |
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147 | (6) |
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3.6.3 Fin Performance Parameters |
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153 | (3) |
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3.6.4 Fins of Nonuniform Cross-Sectional Area |
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156 | (3) |
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3.6.5 Overall Surface Efficiency |
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159 | (4) |
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3.7 Other Applications of One-Dimensional, Steady-State Conduction |
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163 | (16) |
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3.7.1 The Bioheat Equation |
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163 | (4) |
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3.7.2 Thermoelectric Power Generation |
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167 | (8) |
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3.7.3 Nanoscale Conduction |
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175 | (4) |
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179 | (2) |
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181 | (1) |
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182 | (27) |
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Chapter 4 Two-Dimensional, Steady-State Conduction |
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209 | (44) |
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4.1 General Considerations and Solution Techniques |
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210 | (1) |
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4.2 The Method of Separation of Variables |
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211 | (4) |
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4.3 The Conduction Shape Factor and the Dimensionless Conduction Heat Rate |
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215 | (6) |
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4.4 Finite-Difference Equations |
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221 | (9) |
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221 | (1) |
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4.4.2 Finite-Difference Form of the Heat Equation: No Generation and Constant Properties |
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222 | (1) |
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4.4.3 Finite-Difference Form of the Heat Equation: The Energy Balance Method |
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223 | (7) |
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4.5 Solving the Finite-Difference Equations |
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230 | (6) |
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4.5.1 Formulation as a Matrix Equation |
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230 | (1) |
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4.5.2 Verifying the Accuracy of the Solution |
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231 | (5) |
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236 | (1) |
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237 | (1) |
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|
237 | |
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4S.1 The Graphical Method |
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1 | (4) |
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4S.1.1 Methodology of Constructing a Flux Plot |
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1 | (1) |
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4S.1.2 Determination of the Heat Transfer Rate |
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2 | (1) |
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4S.1.3 The Conduction Shape Factor |
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3 | (2) |
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4S.2 The Gauss-Seidel Method: Example of Usage |
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5 | (5) |
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10 | (1) |
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10 | (243) |
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Chapter 5 Transient Conduction |
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253 | (88) |
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5.1 The Lumped Capacitance Method |
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254 | (3) |
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5.2 Validity of the Lumped Capacitance Method |
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257 | (4) |
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5.3 General Lumped Capacitance Analysis |
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261 | (11) |
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262 | (1) |
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5.3.2 Negligible Radiation |
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262 | (1) |
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5.3.3 Convection Only with Variable Convection Coefficient |
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263 | (1) |
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5.3.4 Additional Considerations |
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263 | (9) |
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272 | (1) |
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5.5 The Plane Wall with Convection |
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273 | (4) |
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274 | (1) |
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5.5.2 Approximate Solution |
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274 | (2) |
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5.5.3 Total Energy Transfer: Approximate Solution |
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276 | (1) |
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5.5.4 Additional Considerations |
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276 | (1) |
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5.6 Radial Systems with Convection |
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277 | (7) |
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277 | (1) |
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5.6.2 Approximate Solutions |
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278 | (1) |
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5.6.3 Total Energy Transfer: Approximate Solutions |
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278 | (1) |
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5.6.4 Additional Considerations |
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279 | (5) |
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5.7 The Semi-Infinite Solid |
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284 | (7) |
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5.8 Objects with Constant Surface Temperatures or Surface Heat Fluxes |
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291 | (10) |
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5.8.1 Constant Temperature Boundary Conditions |
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291 | (2) |
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5.8.2 Constant Heat Flux Boundary Conditions |
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293 | (1) |
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5.8.3 Approximate Solutions |
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294 | (7) |
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301 | (3) |
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5.10 Finite-Difference Methods |
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304 | (14) |
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5.10.1 Discretization of the Heat Equation: The Explicit Method |
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304 | (7) |
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5.10.2 Discretization of the Heat Equation: The Implicit Method |
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311 | (7) |
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318 | (1) |
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319 | (1) |
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|
319 | |
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5S.1 Graphical Representation of One-Dimensional, Transient Conduction in the Plane Wall, Long Cylinder, and Sphere |
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|
12 | (4) |
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5S.2 Analytical Solutions of Multidimensional Effects |
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16 | (6) |
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22 | (1) |
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22 | (319) |
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Chapter 6 Introduction to Convection |
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341 | (54) |
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6.1 The Convection Boundary Layers |
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342 | (4) |
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6.1.1 The Velocity Boundary Layer |
|
|
342 | (1) |
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6.1.2 The Thermal Boundary Layer |
|
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343 | (2) |
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6.1.3 The Concentration Boundary Layer |
|
|
345 | (1) |
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6.1.4 Significance of the Boundary Layers |
|
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346 | (1) |
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6.2 Local and Average Convection Coefficients |
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346 | (7) |
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346 | (1) |
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347 | (6) |
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6.3 Laminar and Turbulent Flow |
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353 | (5) |
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6.3.1 Laminar and Turbulent Velocity Boundary Layers |
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|
353 | (2) |
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6.3.2 Laminar and Turbulent Thermal and Species Concentration Boundary Layers |
|
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355 | (3) |
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6.4 The Boundary Layer Equations |
|
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358 | (4) |
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6.4.1 Boundary Layer Equations for Laminar Flow |
|
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359 | (3) |
|
|
362 | (1) |
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6.5 Boundary Layer Similarity: The Normalized Boundary Layer Equations |
|
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362 | (10) |
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6.5.1 Boundary Layer Similarity Parameters |
|
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363 | (1) |
|
6.5.2 Dependent Dimensionless Parameters |
|
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363 | (9) |
|
6.6 Physical Interpretation of the Dimensionless Parameters |
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|
372 | (2) |
|
6.7 Boundary Layer Analogies |
|
|
374 | (8) |
|
6.7.1 The Heat and Mass Transfer Analogy |
|
|
375 | (3) |
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6.7.2 Evaporative Cooling |
|
|
378 | (3) |
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6.7.3 The Reynolds Analogy |
|
|
381 | (1) |
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|
382 | (1) |
|
|
383 | (1) |
|
|
384 | |
|
6S.1 Derivation of the Convection Transfer Equations |
|
|
25 | (11) |
|
6S.1.1 Conservation of Mass |
|
|
25 | (1) |
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6S.1.2 Newton's Second Law of Motion |
|
|
26 | (3) |
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6S.1.3 Conservation of Energy |
|
|
29 | (3) |
|
6S.1.4 Conservation of Species |
|
|
32 | (4) |
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|
36 | (1) |
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|
36 | (359) |
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395 | (74) |
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|
397 | (1) |
|
7.2 The Flat Plate in Parallel Flow |
|
|
398 | (11) |
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7.2.1 Laminar Flow over an Isothermal Plate: A Similarity Solution |
|
|
399 | (6) |
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7.2.2 Turbulent Flow over an Isothermal Plate |
|
|
405 | (1) |
|
7.2.3 Mixed Boundary Layer Conditions |
|
|
406 | (1) |
|
7.2.4 Unheated Starting Length |
|
|
407 | (1) |
|
7.2.5 Flat Plates with Constant Heat Flux Conditions |
|
|
408 | (1) |
|
7.2.6 Limitations on Use of Convection Coefficients |
|
|
409 | (1) |
|
7.3 Methodology for a Convection Calculation |
|
|
409 | (8) |
|
7.4 The Cylinder in Cross Flow |
|
|
417 | (10) |
|
7.4.1 Flow Considerations |
|
|
417 | (2) |
|
7.4.2 Convection Heat and Mass Transfer |
|
|
419 | (8) |
|
|
427 | (3) |
|
7.6 Flow Across Banks of Tubes |
|
|
430 | (9) |
|
|
439 | (5) |
|
7.7.1 Hydrodynamic and Geometric Considerations |
|
|
439 | (1) |
|
7.7.2 Convection Heat and Mass Transfer |
|
|
440 | (4) |
|
|
444 | (1) |
|
|
445 | (3) |
|
|
448 | (1) |
|
|
448 | (21) |
|
|
469 | (70) |
|
8.1 Hydrodynamic Considerations |
|
|
470 | (5) |
|
|
470 | (1) |
|
|
471 | (1) |
|
8.1.3 Velocity Profile in the Fully Developed Region |
|
|
472 | (2) |
|
8.1.4 Pressure Gradient and Friction Factor in Fully Developed Flow |
|
|
474 | (1) |
|
8.2 Thermal Considerations |
|
|
475 | (6) |
|
8.2.1 The Mean Temperature |
|
|
476 | (1) |
|
8.2.2 Newton's Law of Cooling |
|
|
477 | (1) |
|
8.2.3 Fully Developed Conditions |
|
|
477 | (4) |
|
|
481 | (8) |
|
8.3.1 General Considerations |
|
|
481 | (1) |
|
8.3.2 Constant Surface Heat Flux |
|
|
482 | (3) |
|
8.3.3 Constant Surface Temperature |
|
|
485 | (4) |
|
8.4 Laminar Flow in Circular Tubes: Thermal Analysis and Convection Correlations |
|
|
489 | (7) |
|
8.4.1 The Fully Developed Region |
|
|
489 | (5) |
|
|
494 | (2) |
|
8.4.3 Temperature-Dependent Properties |
|
|
496 | (1) |
|
8.5 Convection Correlations: Turbulent Flow in Circular Tubes |
|
|
496 | (8) |
|
8.6 Convection Correlations: Noncircular Tubes and the Concentric Tube Annulus |
|
|
504 | (3) |
|
8.7 Heat Transfer Enhancement |
|
|
507 | (3) |
|
8.8 Forced Convection in Small Channels |
|
|
510 | (5) |
|
8.8.1 Microscale Convection in Gases (0.1 $mUm $$ Dh $$ 100 $mUm) |
|
|
510 | (1) |
|
8.8.2 Microscale Convection in Liquids |
|
|
511 | (1) |
|
8.8.3 Nanoscale Convection (Dh $$ 100 nm) |
|
|
512 | (3) |
|
8.9 Convection Mass Transfer |
|
|
515 | (2) |
|
|
517 | (3) |
|
|
520 | (1) |
|
|
521 | (18) |
|
Chapter 9 Free Convection |
|
|
539 | (56) |
|
9.1 Physical Considerations |
|
|
540 | (2) |
|
9.2 The Governing Equations for Laminar Boundary Layers |
|
|
542 | (2) |
|
9.3 Similarity Considerations |
|
|
544 | (1) |
|
9.4 Laminar Free Convection on a Vertical Surface |
|
|
545 | (3) |
|
9.5 The Effects of Turbulence |
|
|
548 | (2) |
|
9.6 Empirical Correlations: External Free Convection Flows |
|
|
550 | (14) |
|
|
551 | (3) |
|
9.6.2 Inclined and Horizontal Plates |
|
|
554 | (5) |
|
9.6.3 The Long Horizontal Cylinder |
|
|
559 | (4) |
|
|
563 | (1) |
|
9.7 Free Convection Within Parallel Plate Channels |
|
|
564 | (3) |
|
|
565 | (2) |
|
|
567 | (1) |
|
9.8 Empirical Correlations: Enclosures |
|
|
567 | (6) |
|
9.8.1 Rectangular Cavities |
|
|
567 | (3) |
|
9.8.2 Concentric Cylinders |
|
|
570 | (1) |
|
|
571 | (2) |
|
9.9 Combined Free and Forced Convection |
|
|
573 | (1) |
|
9.10 Convection Mass Transfer |
|
|
574 | (1) |
|
|
575 | (1) |
|
|
576 | (1) |
|
|
577 | (18) |
|
Chapter 10 Boiling and Condensation |
|
|
595 | (50) |
|
10.1 Dimensionless Parameters in Boiling and Condensation |
|
|
596 | (1) |
|
|
597 | (1) |
|
|
598 | (4) |
|
|
598 | (1) |
|
10.3.2 Modes of Pool Boiling |
|
|
599 | (3) |
|
10.4 Pool Boiling Correlations |
|
|
602 | (9) |
|
10.4.1 Nucleate Pool Boiling |
|
|
602 | (2) |
|
10.4.2 Critical Heat Flux for Nucleate Pool Boiling |
|
|
604 | (1) |
|
|
605 | (1) |
|
|
605 | (1) |
|
10.4.5 Parametric Effects on Pool Boiling |
|
|
606 | (5) |
|
10.5 Forced Convection Boiling |
|
|
611 | (4) |
|
10.5.1 External Forced Convection Boiling |
|
|
612 | (1) |
|
|
612 | (3) |
|
10.5.3 Two-Phase Flow in Microchannels |
|
|
615 | (1) |
|
10.6 Condensation: Physical Mechanisms |
|
|
615 | (2) |
|
10.7 Laminar Film Condensation on a Vertical Plate |
|
|
617 | (4) |
|
10.8 Turbulent Film Condensation |
|
|
621 | (5) |
|
10.9 Film Condensation on Radial Systems |
|
|
626 | (5) |
|
10.10 Condensation in Horizontal Tubes |
|
|
631 | (1) |
|
10.11 Dropwise Condensation |
|
|
632 | (1) |
|
|
633 | (1) |
|
|
633 | (2) |
|
|
635 | (10) |
|
Chapter 11 Heat Exchangers |
|
|
645 | (56) |
|
11.1 Heat Exchanger Types |
|
|
646 | (2) |
|
11.2 The Overall Heat Transfer Coefficient |
|
|
648 | (3) |
|
11.3 Heat Exchanger Analysis: Use of the Log Mean Temperature Difference |
|
|
651 | (11) |
|
11.3.1 The Parallel-Flow Heat Exchanger |
|
|
652 | (2) |
|
11.3.2 The Counterflow Heat Exchanger |
|
|
654 | (1) |
|
11.3.3 Special Operating Conditions |
|
|
655 | (7) |
|
11.4 Heat Exchanger Analysis: The Effectiveness-NTU Method |
|
|
662 | (8) |
|
|
662 | (1) |
|
11.4.2 Effectiveness-NTU Relations |
|
|
663 | (7) |
|
11.5 Heat Exchanger Design and Performance Calculations |
|
|
670 | (9) |
|
11.6 Additional Considerations |
|
|
679 | (8) |
|
|
687 | (1) |
|
|
688 | (1) |
|
|
688 | |
|
11S.1 Log Mean Temperature Difference Method for Multipass and Cross-Flow Heat Exchangers |
|
|
40 | (4) |
|
11S.2 Compact Heat Exchangers |
|
|
44 | (5) |
|
|
49 | (1) |
|
|
50 | (651) |
|
Chapter 12 Radiation: Processes and Properties |
|
|
701 | (84) |
|
12.1 Fundamental Concepts |
|
|
702 | (3) |
|
12.2 Radiation Heat Fluxes |
|
|
705 | (2) |
|
|
707 | (9) |
|
12.3.1 Mathematical Definitions |
|
|
707 | (1) |
|
12.3.2 Radiation Intensity and Its Relation to Emission |
|
|
708 | (5) |
|
12.3.3 Relation to Irradiation |
|
|
713 | (2) |
|
12.3.4 Relation to Radiosity for an Opaque Surface |
|
|
715 | (1) |
|
12.3.5 Relation to the Net Radiative Flux for an Opaque Surface |
|
|
716 | (1) |
|
|
716 | (10) |
|
12.4.1 The Planck Distribution |
|
|
717 | (1) |
|
12.4.2 Wien's Displacement Law |
|
|
718 | (1) |
|
12.4.3 The Stefan-Boltzmann Law |
|
|
718 | (1) |
|
|
719 | (7) |
|
12.5 Emission from Real Surfaces |
|
|
726 | (9) |
|
12.6 Absorption, Reflection, and Transmission by Real Surfaces |
|
|
735 | (9) |
|
|
736 | (1) |
|
|
737 | (2) |
|
|
739 | (1) |
|
12.6.4 Special Considerations |
|
|
739 | (5) |
|
|
744 | (2) |
|
|
746 | (6) |
|
12.9 Environmental Radiation |
|
|
752 | (8) |
|
|
753 | (2) |
|
12.9.2 The Atmospheric Radiation Balance |
|
|
755 | (2) |
|
12.9.3 Terrestrial Solar Irradiation |
|
|
757 | (3) |
|
|
760 | (4) |
|
|
764 | (1) |
|
|
764 | (21) |
|
Chapter 13 Radiation Exchange Between Surfaces |
|
|
785 | (64) |
|
|
786 | (10) |
|
13.1.1 The View Factor Integral |
|
|
786 | (1) |
|
13.1.2 View Factor Relations |
|
|
787 | (9) |
|
13.2 Blackbody Radiation Exchange |
|
|
796 | (4) |
|
13.3 Radiation Exchange Between Opaque, Diffuse, Gray Surfaces in an Enclosure |
|
|
800 | (17) |
|
13.3.1 Net Radiation Exchange at a Surface |
|
|
801 | (1) |
|
13.3.2 Radiation Exchange Between Surfaces |
|
|
802 | (6) |
|
13.3.3 The Two-Surface Enclosure |
|
|
808 | (2) |
|
13.3.4 Two-Surface Enclosures in Series and Radiation Shields |
|
|
810 | (2) |
|
13.3.5 The Reradiating Surface |
|
|
812 | (5) |
|
13.4 Multimode Heat Transfer |
|
|
817 | (3) |
|
13.5 Implications of the Simplifying Assumptions |
|
|
820 | (1) |
|
13.6 Radiation Exchange with Participating Media |
|
|
820 | (5) |
|
13.6.1 Volumetric Absorption |
|
|
820 | (1) |
|
13.6.2 Gaseous Emission and Absorption |
|
|
821 | (4) |
|
|
825 | (1) |
|
|
826 | (1) |
|
|
827 | (22) |
|
Chapter 14 Diffusion Mass Transfer |
|
|
849 | (48) |
|
14.1 Physical Origins and Rate Equations |
|
|
850 | (5) |
|
|
850 | (1) |
|
14.1.2 Mixture Composition |
|
|
851 | (1) |
|
14.1.3 Fick's Law of Diffusion |
|
|
852 | (1) |
|
|
853 | (2) |
|
14.2 Mass Transfer in Nonstationary Media |
|
|
855 | (8) |
|
14.2.1 Absolute and Diffusive Species Fluxes |
|
|
855 | (3) |
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14.2.2 Evaporation in a Column |
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|
858 | (5) |
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14.3 The Stationary Medium Approximation |
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|
863 | (1) |
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14.4 Conservation of Species for a Stationary Medium |
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|
863 | (7) |
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14.4.1 Conservation of Species for a Control Volume |
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|
864 | (1) |
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14.4.2 The Mass Diffusion Equation |
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|
864 | (2) |
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14.4.3 Stationary Media with Specified Surface Concentrations |
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|
866 | (4) |
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14.5 Boundary Conditions and Discontinuous Concentrations at Interfaces |
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|
870 | (8) |
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14.5.1 Evaporation and Sublimation |
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|
871 | (1) |
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14.5.2 Solubility of Gases in Liquids and Solids |
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|
871 | (5) |
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14.5.3 Catalytic Surface Reactions |
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|
876 | (2) |
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14.6 Mass Diffusion with Homogeneous Chemical Reactions |
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|
878 | (3) |
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|
881 | (6) |
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|
887 | (1) |
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|
888 | (1) |
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|
888 | (56) |
Appendix A Thermophysical Properties of Matter |
|
897 | (32) |
Appendix B Mathematical Relations and Functions |
|
929 | (6) |
Appendix C Thermal Conditions Associated with Uniform Energy Generation in One-Dimensional, Steady-State Systems |
|
935 | (6) |
Appendix D The Gauss---Seidel Method |
|
941 | (2) |
Appendix E The Convection Transfer Equations |
|
943 | (4) |
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|
944 | (1) |
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E.2 Newton's Second Law of Motion |
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|
944 | (1) |
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E.3 Conservation of Energy |
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|
945 | (1) |
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E.4 Conservation of Species |
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|
946 | (1) |
Appendix F Boundary Layer Equations for Turbulent Flow |
|
947 | (4) |
Appendix G An Integral Laminar Boundary Layer Solution for Parallel Flow over a Flat Plate |
|
951 | (4) |
Conversion Factors |
|
955 | (1) |
Physical Constants |
|
956 | (1) |
Index |
|
957 | |