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Heat conduction.
"This book supplies the long awaited revision of the bestseller on heat conduction, replacing some of the coverage of numerical methods with content on micro- and nano-scale heat transfer. Extensive problems, cases, and examples have been thoroughly updated, and a solutions manual is available&...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hoboken, N.J. :
Wiley,
2012.
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| Edición: | 3rd ed. / |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Heat Conduction Fundamentals
- 2. Orthogonal Functions, Boundary Value Problems, and the Fourier Series
- 3. Separation of Variables in the Rectangular Coordinate System
- 4. Separation of Variables in the Cylindrical Coordinate System
- 5. Separation of Variables in the Spherical Coordinate System
- 6. Solution of the Heat Equation for Semi-Infinite and Infinite Domains
- 7. Use of Duhamel's Theorem
- 8. Use of Green's Function for Solution of Heat Conduction Problems
- 9. Use of the Laplace Transform
- 10. One-Dimensional Composite Medium
- 11. Moving Heat Source Problems
- 12. Phase-Change Problems
- 13. Approximate Analytic Methods
- 14. Integral Transform Technique
- 15. Heat Conduction in Anisotropic Solids
- 16. Introduction to Microscale Heat Conduction.
- 1. Heat Conduction Fundamentals
- 1.1. The Heat Flux
- 1.2. Thermal Conductivity
- 1.3. Differential Equation of Heat Conduction
- 1.4. Fourier's Law and the Heat Equation in Cylindrical and Spherical Coordinate Systems
- 1.5. General Boundary Conditions and Initial Condition for the Heat Equation
- 1.6. Nondimensional Analysis of the Heat Conduction Equation
- 1.7. Heat Conduction Equation for Anisotropic Medium
- 1.8. Lumped and Partially Lumped Formulation
- 2. Orthogonal Functions, Boundary Value Problems, and the Fourier Series
- 2.1. Orthogonal Functions
- 2.2. Boundary Value Problems
- 2.3. The Fourier Series
- 2.4. Computation of Eigenvalues
- 2.5. Fourier Integrals
- 3. Separation of Variables in the Rectangular Coordinate System
- 3.1. Basic Concepts in the Separation of Variables Method
- 3.2. Generalization to Multidimensional Problems
- 3.3. Solution of Multidimensional Homogenous Problems
- 3.4. Multidimensional Nonhomogeneous Problems: Method of Superposition
- 3.5. Product Solution
- 3.6. Capstone Problem
- 4. Separation of Variables in the Cylindrical Coordinate System
- 4.1. Separation of Heat Conduction Equation in the Cylindrical Coordinate System
- 4.2. Solution of Steady-State Problems
- 4.3. Solution of Transient Problems
- 4.4. Capstone Problem
- 5. Separation of Variables in the Spherical Coordinate System
- 5.1. Separation of Heat Conduction Equation in the Spherical Coordinate System
- 5.2. Solution of Steady-State Problems
- 5.3. Solution of Transient Problems
- 5.4. Capstone Problem
- 6. Solution of the Heat Equation for Semi-Infinite and Infinite Domains
- 6.1. One-Dimensional Homogeneous Problems in a Semi-Infinite Medium for the Cartesian Coordinate System
- 6.2. Multidimensional Homogeneous Problems in a Semi-Infinite Medium for the Cartesian Coordinate System
- 6.3. One-Dimensional Homogeneous Problems in An Infinite Medium for the Cartesian Coordinate System
- 6.4. One-Dimensional homogeneous Problems in a Semi-Infinite Medium for the Cylindrical Coordinate System
- 6.5. Two-Dimensional Homogeneous Problems in a Semi-Infinite Medium for the Cylindrical Coordinate System
- 6.6. One-Dimensional Homogeneous Problems in a Semi-Infinite Medium for the Spherical Coordinate System
- 7. Use of Duhamel's Theorem
- 7.1. Development of Duhamel's Theorem for Continuous Time-Dependent Boundary Conditions
- 7.2. Treatment of Discontinuities
- 7.3. General Statement of Duhamel's Theorem
- 7.4. Applications of Duhamel's Theorem
- 7.5. Applications of Duhamel's Theorem for Internal Energy Generation
- 8. Use of Green's Function for Solution of Heat Conduction Problems
- 8.1. Green's Function Approach for Solving Nonhomogeneous Transient Heat Conduction
- 8.2. Determination of Green's Functions
- 8.3. Representation of Point, Line, and Surface Heat Sources with Delta Functions
- 8.4. Applications of Green's Function in the Rectangular Coordinate System
- 8.5. Applications of Green's Function in the Cylindrical Coordinate System
- 8.6. Applications of Green's Function in the Spherical Coordinate System
- 8.7. Products of Green's Functions
- 9. Use of the Laplace Transform
- 9.1. Definition of Laplace Transformation
- 9.2. Properties of Laplace Transform
- 9.3. Inversion of Laplace Transform Using the Inversion Tables
- 9.4. Application of the Laplace Transform in the Solution of Time-Dependent Heat Conduction Problems
- 9.5. Approximations for Small Times
- 10. One-Dimensional Composite Medium
- 10.1. Mathematical Formulation of One-Dimensional Transient Heat Conduction in a Composite Medium
- 10.2. Transformation of Nonhomogeneous Boundary Conditions into Homogeneous Ones
- 10.3. Orthogonal Expansion Technique for Solving M-Layer Homogeneous Problems
- 10.4. Determination of Eigenfunctions and Eigenvalues
- 10.5. Applications of Orthogonal Expansion Technique
- 10.6. Green's Function Approach for Solving Nonhomogeneous Problems
- 10.7. Use of Laplace Transform for Solving Semi-Infinite and Infinite Medium Problems
- 11. Moving Heat Source Problems
- 11.1. Mathematical Modeling of Moving Heat Source Problems
- 11.2. One-Dimensional Quasi-Stationary Plane Heat Source Problem
- 11.3. Two-Dimensional Quasi-Stationary Line Heat Source Problem
- 11.4. Two-Dimensional Quasi-Stationary Ring Heat Source Problem
- 12. Phase-Change Problems
- 12.1. Mathematical Formulation of Phase-Change Problems
- 12.2. Exact Solution of Phase-Change Problems
- 12.3. Integral Method of Solution of Phase-Change Problems
- 12.4. Variable Time Step Method for Solving Phase-Change Problems: A Numerical Solution
- 12.5. Enthalpy Method for Solution of Phase-Change Problems: A Numerical Solution
- 13. Approximate Analytic Methods
- 13.1. Integral Method: Basic Concepts
- 13.2. Integral Method: Application to Linear Transient Heat Conduction in a Semi-Infinite Medium
- 13.3. Integral Method: Application to Nonlinear Transient Heat Conduction
- 13.4. Integral Method: Application to a Finite Region
- 13.5. Approximate Analytic Methods of Residuals
- 13.6. The Galerkin Method
- 13.7. Partial Integration
- 13.8. Application to Transient Problems
- 14. Integral Transform Technique
- 14.1. Use of Integral Transform in the Solution of Heat Conduction Problems
- 14.2. Applications in the Rectangular Coordinate System
- 14.3. Applications in the Cylindrical Coordinate System
- 14.4. Applications in the Spherical Coordinate System
- 14.5. Applications in the Solution of Steady-state problems
- 15. Heat Conduction in Anisotropic Solids
- 15.1. Heat Flux for Anisotropic Solids
- 15.2. Heat Conduction Equation for Anisotropic Solids
- 15.3. Boundary Conditions
- 15.4. Thermal Resistivity Coefficients
- 15.5. Determination of Principal Conductivities and Principal Axes
- 15.6. Conductivity Matrix for Crystal Systems
- 15.7. Transformation of Heat Conduction Equation for Orthotropic Medium
- 15.8. Some Special Cases
- 15.9. Heat Conduction in an Orthotropic Medium
- 15.10. Multidimensional Heat Conduction in an Anisotropic Medium
- 16. Introduction to Microscale Heat Conduction
- 16.1. Microstructure and Relevant Length Scales
- 16.2. Physics of Energy Carriers
- 16.3. Energy Storage and Transport
- 16.4. Limitations of Fourier's Law and the First Regime of Microscale Heat Transfer
- 16.5. Solutions and Approximations for the First Regime of Microscale Heat Transfer
- 16.6. Second and Third Regimes of Microscale Heat Transfer
- 16.7. Summary Remarks
- Appendix I. Physical Properties
- Appendix II. Roots of Transcendental Equations
- Appendix III. Error Functions
- Appendix IV. Bessel Functions
- Appendix V. Numerical Values of Legendre Polynomials of the First Kind
- Appendix VI. Properties of Delta Functions.