Computational heat transfer

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Computational heat transfer / Yogesh Jaluria, Kenneth E. Torrance

版:

2nd ed

資料種別:

図書

出版情報:

New York, N.Y. ; London : Taylor & Francis, 2003

形態:

xv, 544 p ; 24 cm

シリーズ名:

Series in computational methods in mechanics and thermal sciences <BA60699867>

著者名:

ISBN:

9781560324775 [1560324775]
9781560324782 [1560324783] (pbk)

書誌ID:

BA60699903

子書誌情報

フルテキスト

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書誌詳細

注記:

Previous ed.: Washington, DC : Hemisphere, 1986

主題:

Heat--Transmission--Mathematics

言語:

英語

目次情報:

Preface to the Second Edition

Preface to the First Edition

Introduction / 1：

Thermal Transport / 1.1：

Mass Transfer and Fluid Flow / 1.2：

An Example / 1.3：

Importance of Analytical and Experimental Methods / 1.4：

Numerical Approach / 1.5：

Basic Considerations in a Numerical Solution / 1.6：

Outline and Scope of the Book / 1.7：

References

Mathematical Background / Part 1：

Governing Equations / 2：

Classification / 2.1：

Representative Differential Equations from Heat Transfer and Fluid Flow / 2.2：

Boundary and Initial Conditions / 2.3：

Integral Forms / 2.4：

Numerical Solution / 2.5：

Basic Equations / 2.5.1：

Different Approaches / 2.5.2：

Problems

Finite Differences / 3：

Basic Concepts / 3.1：

Direct Approximation Approach / 3.1.1：

Polynomial Representation / 3.1.2：

Taylor Series Approach and Accuracy / 3.1.3：

Control Volume Approach and Conservation / 3.1.4：

Numerical Considerations / 3.1.5：

Total Truncation Error / 3.1.5.1：

Discretization and Roundoff Errors / 3.1.5.2：

Convergence / 3.1.5.3：

Numerical Stability and the Equivalence Theorem / 3.1.5.4：

Steady-State Diffusion / 3.2：

Discretization / 3.2.1：

Solution of Simultaneous Equations / 3.2.2：

Iterative Methods / 3.2.2.1：

Direct Methods / 3.2.2.2：

Transient Diffusion / 3.3：

Two-Level Time Discretization / 3.3.1：

Matrix Stability Analysis / 3.3.2：

Fourier Series Stability Analysis / 3.3.3：

An Example of Numerical Instability / 3.3.4：

Other Explicit and Implicit Schemes / 3.3.5：

Finite Elements / 4：

Interpolation Functions / 4.1：

Integral Representations and Galerkin's Method / 4.1.3：

Assembly / 4.1.4：

Elements / 4.1.5：

Condensation and Substructuring / 4.1.6：

Practical Implementation / 4.1.7：

Matrix Equations with Boundary Conditions / 4.2：

One-Dimensional Diffusion / 4.2.2：

Two-Dimensional Diffusion / 4.2.3：

Typical FEM Solutions / 4.2.4：

The Matrix System / 4.3：

Finite Differences in Time / 4.3.2：

Diagonalization / 4.3.3：

Transient One-Dimensional Diffusion / 4.3.4：

Other Methods and Solutions / 4.3.5：

Simulation of Transport Processes / Part 2：

Numerical Methods for Conduction Heat Transfer / 5：

Numerical Solution of Steady-State Conduction / 5.1：

One-Dimensional Conduction / 5.2.1：

Finite Difference Approximation of the Boundary Conditions / 5.2.1.1：

An Example: Numerical Solution of Heat Transfer in an Extended Surface / 5.2.1.3：

Runge-Kutta Methods / 5.2.1.4：

Finite Difference Method / 5.2.1.5：

Multidimensional Steady-State Conduction / 5.2.2：

Finite Difference Formulation / 5.2.2.1：

Solution: Iterative and Direct Methods / 5.2.2.2：

Improvement in Accuracy of Numerical Results / 5.2.2.3：

Finite Element Formulation / 5.2.2.4：

Variable Property and Other Considerations / 5.2.3：

Numerical Solution of Unsteady-State Conduction / 5.3：

One-Dimensional Unsteady-State Conduction / 5.3.1：

FTCS Explicit Method / 5.3.1.1：

Other Methods / 5.3.1.2：

Numerical Approximation of Lumped Mass and Semi-infinite Solids / 5.3.2：

Multidimensional Unsteady-State Conduction / 5.3.3：

Numerical Methods for Time-Varying Boundary Conditions / 5.3.4：

Property Variation / 5.3.5：

Finite Element Solution / 5.3.6：

Grid Generation / 5.4：

Summary / 5.5：

Numerical Methods for Convection Heat Transfer / 6：

Computation of Forced Convection with Constant Fluid Properties / 6.1：

Inviscid Flow: Introduction to Stream Function and Vorticity / 6.2.1：

Equations for Viscous Flow: Primitive and Derived Variables / 6.2.2：

Linear Viscous Flow (Creeping Flow) / 6.2.3：

Computation of Boundary Layer Flows / 6.2.4：

Similarity Solution: Ordinary Differential Equations / 6.2.4.1：

Finite Difference Approach / 6.2.4.2：

Numerical Solution of the Full Equations / 6.2.5：

Central Differencing / 6.2.5.1：

Upwind, Hybrid and Other Lower-Order Differencing Schemes / 6.2.5.2：

Higher-Order Differencing Schemes for Convection / 6.2.5.3：

Other Numerical Methods and Considerations / 6.2.5.4：

Steady State Solution / 6.2.5.5：

Primitive Variables Approach / 6.2.5.6：

Simpler Algorithm / 6.2.5.7：

Finite Difference Considerations of the Conservative Form / 6.2.6：

Concluding Remarks on Flow Calculations / 6.2.7：

Energy Equation / 6.2.8：

Numerical Formulation / 6.2.8.1：

Boundary Conditions / 6.2.8.2：

Numerical Solution of Turbulent Flows / 6.2.8.3：

Computation of Natural Convection Flow and Transport / 6.3：

Similarity Solutions / 6.3.1：

Finite Difference Methods / 6.3.2：

Additional Considerations / 6.3.3：

Convection with Variable Fluid Properties / 6.4：

Finite Element Methods / 6.5：

Discretization and Interpolation Functions / 6.5.1：

Integral Representation / 6.5.2：

Element Equations and Assembly / 6.5.3：

Solution / 6.5.4：

Examples and Other Considerations / 6.5.5：

Comparison of Finite Element and Finite Difference Methods / 6.5.6：

Numerical Methods for Radiation Heat Transfer / 6.6：

Numerical Techniques for Enclosures with Diffuse-Gray Surfaces / 7.1：

Radiosity Method / 7.2.1：

Absorption Factor Method / 7.2.2：

Computation of View Factors / 7.2.3：

Temperature Dependence of Surface Properties / 7.2.3.2：

Spectral Variation / 7.2.3.3：

Nonuniform Irradiation and Emission: Discrete Integral Equations / 7.3：

Numerical Solution of Radiation in the Presence of Other Modes / 7.4：

Combined Modes at Boundaries: Nonparticipating Media / 7.4.1：

Participating Media / 7.4.2：

Other Methods For Participating Media / 7.5：

Monte Carlo Method / 7.6：

Combined Modes and Process Applications / 7.7：

Applications of Computational Heat Transfer / 8：

Numerical Simulation of Thermal Systems in Manufacturing / 8.1：

Heat Treatment: Temperature Regulation / 8.1.1：

Surface Treatment: Semi-infinite Approximation / 8.1.2：

Continuously Moving Materials: Moving Boundary Effects / 8.1.3：

Melting and Solidification: Phase Change Considerations / 8.1.4：

Other Processes / 8.1.5：

Numerical Simulation of Environmental Heat Transfer Problems / 8.2：

Cooling Ponds: Periodic Processes / 8.2.1：

Recirculating Flows in Enclosed Spaces / 8.2.2：

Fire-Induced Flows in Partial Enclosures / 8.2.3：

Free Boundary Flows and Other Problems / 8.2.4：

Computer Simulation and Computer-Aided Design of Thermal Systems / 8.2.5：

General Approach / 8.3.1：

Example of Computer Simulation of a Thermal System / 8.3.2：

Appendices

Finite Difference Approximations / A：

Sample Computer Programs / B：

Successive Over-Relaxation (SOR) Method / B.1：

Tridiagonal Matrix Algorithm (TDMA) or Thomas Algorithm / B.2：

Gauss-Jordan Elimination Method / B.3：

Forward-Time-Central-Space (FTCS) Method / B.4：

Crank-Nicolson Method / B.5：

Newton-Raphson Method / B.6：

Finite Difference Method for ODEs / B.7：

Runge-Kutta Method / B.8：

Alternating-Direction-Implicit (ADI) Method / B.9：

Material Properties / C：

Nomenclature

Index

Preface to the Second Edition

Preface to the First Edition

Introduction / 1：

Thermal Transport / 1.1：

Mass Transfer and Fluid Flow / 1.2：

An Example / 1.3：

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