| Description |
1 online resource |
| Contents |
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 |
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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 |
| Summary |
"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"-- Provided by publisher |
| Notes |
Revised edition of: Heat conduction / M. Necati Özisik. 2nd ed. c1993 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record and CIP data provided by publisher |
| Subject |
Heat -- Conduction.
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SCIENCE -- Mechanics -- Dynamics -- Thermodynamics.
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Heat -- Conduction
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| Form |
Electronic book
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| Author |
Özışık, M. Necati
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| LC no. |
2012005263 |
| ISBN |
9781118330111 |
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1118330110 |
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9781118332856 |
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1118332857 |
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9781118334508 |
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1118334507 |
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9781118411285 |
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1118411285 |
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