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[资源] Springer英文专著：热传导（Heat Conduction）

Heat Conduction

Author(s): Latif M. Jiji
Publisher: Springer
Year: 2009
Edition: 3rd Ed
Language: English
Pages: 431
Table of contents :
front-matter......Page 1
Examples of Conduction Problems......Page 14
Fourier's Law of Conduction......Page 15
Conservation of Energy: Differential Formulation of the Heat Conduction Equation in Rectangular Coordinates......Page 18
The Heat Conduction Equation in Cylindrical and Spherical Coordinates......Page 22
Surface Convection: Newton's Law of Cooling......Page 23
Surface Radiation: Stefan-Boltzmann Law......Page 24
Examples of Boundary Conditions......Page 25
Problem Solving Format......Page 28
Units......Page 29
REFERENCES......Page 30
Examples of One-dimensional Conduction......Page 37
Types of Fins......Page 47
Heat Transfer and Temperature Distribution in Fins......Page 48
The Fin Approximation......Page 49
The Fin Heat Equation: Convection at Surface......Page 50
Determination of $\frac{dA_{s}}{dx}$......Page 52
Determination of Fin Heat Transfer Rate $q_{f}$......Page 53
Steady State Applications: Constant Area Fins with Surface Convection......Page 54
Fin Efficiency $\eta_{f}$......Page 57
Moving Fins......Page 58
Application of Moving Fins......Page 60
Variable Area Fins......Page 62
Solutions: Bessel Functions......Page 65
Special Closed-form Bessel Functions:$n = \frac{odd integer}{2}$......Page 67
Special Relations for n = 1, 2, 3, ….......Page 68
Tabulation and Graphical Representation of Selected Bessel Functions......Page 69
Equidimensional (Euler) Equation......Page 71
Graphically Presented Solutions to Fin Heat Transfer Rate [5]......Page 72
REFERENCES......Page 73
The Heat Conduction Equation......Page 85
Homogeneous Differential Equations and Boundary Conditions......Page 86
Sturm-Liouville Boundary-Value Problem: Orthogonality [1]......Page 87
Procedure for the Application of Separation of Variables Method......Page 89
Cartesian Coordinates: Examples......Page 96
Cylindrical Coordinates: Examples......Page 110
Integrals of Bessel Functions......Page 115
Non-homogeneous Differential Equations......Page 116
Non-homogeneous Boundary Conditions: The Method of Superposition......Page 122
REFERENCES......Page 124
Criterion for Neglecting Spatial Temperature Variation......Page 132
Lumped-Capacity Analysis......Page 134
Transient Conduction in Plates......Page 137
Non-homogeneous Equations and Boundary Conditions......Page 141
Transient Conduction in Cylinders......Page 145
Transient Conduction in Spheres......Page 151
Time Dependent Boundary Conditions: Duhamel’s Superposition Integral......Page 154
Formulation of Duhamel’s Integral [1]......Page 155
Extension to Discontinuous Boundary Conditions......Page 157
Applications......Page 158
Conduction in Semi-infinite Regions: The Similarity Method......Page 163
REFERENCES......Page 167
Examples of Conduction in Porous Media......Page 176
Porosity......Page 177
Heat Conduction Equation: Cartesian Coordinates......Page 178
Boundary Conditions......Page 180
Applications......Page 181
REFEENCES......Page 187
Introduction......Page 197
Moving Interface Boundary Conditions......Page 198
Non-linearity of the Interface Energy Equation......Page 201
Non-dimensional Form of the Governing Equations: Governing Parameters......Page 202
Simplified Model: Quasi-Steady Approximation......Page 203
Stefan’s Solution......Page 210
Neumann’s Solution: Solidification of Semi-Infinite Region......Page 213
Neumann’s Solution: Melting of Semi-infinite Region......Page 216
Effect of Density Change on the Liquid Phase......Page 217
Radial Conduction with Phase Change......Page 218
Phase Change in Finite Regions......Page 222
REFERENCES......Page 223
Non-linear Differential Equations......Page 228
Taylor Series Method......Page 229
Transformation of Differential Equations......Page 233
Transformation of Boundary Conditions......Page 234
Boltzmann Transformation......Page 237
Combining Boltzmann and Kirchhoff Transformations......Page 239
Exact Solutions......Page 240
REFERENCES......Page 243
Procedure......Page 249
Accuracy of the Integral Method......Page 250
Application to Cartesian Coordinates......Page 251
Application to Cylindrical Coordinates......Page 259
Non-linear Problems [5]......Page 264
Energy Generation......Page 273
REFERENCES......Page 277
Introduction......Page 282
Solution Procedure......Page 283
Examples of Perturbation Problems in Conduction......Page 284
Perturbation Solutions: Examples......Page 286
REFERENCES......Page 309
Vascular Architecture and Blood Flow......Page 315
Blood Temperature Variation......Page 317
Pennes Bioheat Equation [1]......Page 318
Chen-Holmes Equation [5]......Page 325
Three-Temperature Model for Peripheral Tissue [7]......Page 326
Weinbaum-Jiji Simplified Bioheat Equation for Peripheral Tissue [8]......Page 328
The $s$-Vessel Tissue Cylinder Model [16]......Page 336
REFERENCES......Page 345
Introduction......Page 360
Categories of Microscale Phenomena......Page 361
Purpose and Scope of this Chapter......Page 363
Derivation of Fourier’s Law and an Expression for the Thermal Conductivity......Page 364
Ideal Gases: Heat is Conducted by Gas Molecules......Page 368
Metals: Heat is Conducted by Electrons......Page 372
Electrical Insulators and Semiconductors: Heat is Conducted by Phonons (Sound Waves)......Page 374
Radiation: Heat is Carried by Photons (Light Waves)......Page 385
Accounting for Multiple Scattering Mechanisms: Matthiessen’s rule......Page 390
Boundary Scattering for Heat Flow Parallel to Boundaries......Page 392
Boundary Scattering for Heat Flow Perpendicular to Boundaries......Page 400
Closing Thoughts......Page 405
REFERENCES......Page 408
back-matter......Page 415

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