Wrobel / Brebbia Boundary Element Methods in Heat Transfer

1992
ISBN: 978-94-011-2902-2
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 294 Seiten, eBook

Reihe: International Series on Computational Engineering

Heat transfer problems in industry are usually of a very complex nature, simultaneously involving different transfer modes such as conduction, convection, radiation and others. Because of this, very few problems can be solved analytically and one generally has to resort to numerical analysis. The boundary element method is a numerical technique which has been receiving growing attention for solving heat transfer problems because of its unique ability to confine the discretization process to the boundaries of the problem region. This allows major reductions in the data preparation and computer effort necessary to solve complex industrial problems. The purpose of this book is to present efficient algorithms used in conjunction with the boundary element method for the solution of steady and transient, linear and non-linear heat transfer problems. It represents the state-of-the-art of boundary element applications in the field of heat transfer, and constitutes essential reading for researchers and practising engineers involved with this important topic.

Zielgruppe

Research

Autoren/Hrsg.

Wrobel

Brebbia, C.A.

Inhaltsverzeichnis

1 - Solving Heat Transfer Problems by the Dual Reciprocity BEM.- 1.1 Introduction.- 1.2 Steady-State Problems with Heat Sources.- 1.3 Transient Heat Conduction.- 1.4 Numerical Examples and Conclusions.- Acknowledgement.- References.- 2 - Transient Problems using Time-Dependent Fundamental Solutions.- 2.1 Introduction.- 2.2 Boundary Integral Equation.- 2.3 Space and Time Discretization.- 2.4 Evaluation of the Coefficients of Matrices H1, H2, G1 and G2.- 2.5 Boundary Conditions.- 2.6 Initial Conditions.- 2.7 Treatment of Heat Sources.- 2.8 Applications.- References.- 3 - Solving Linear Heat Conduction Problems by the Multiple Reciprocity Method.- 3.1 Introduction.- 3.2 Fundamentals of the Multiple Reciprocity Method.- 3.3 Heat Conduction with Heat Sources.- 3.4 Linear Transient Problems.- 3.5 Numerical Examples.- Acknowledgements.- References.- 4 - Solving Nonlinear Beat Transfer Problems Using the Boundary Element Method.- 4.1 Introduction.- 4.2 Applying BEM to Nonlinear Problems. General Remarks.- 4.3 Nonlinear Boundary Conditions.- 4.4 Nonlinear Material (Nonlinear Differential Operator).- 4.5 Nonlinear Source Term.- 4.6 Moving Boundaries.- 4.7 Conclusions.- Acknowledgements.- References.- 5 - Coupled Conduction-Convection Problems.- 5.1 Introduction.- 5.2 BEM Formulation for Steady-State Problems.- 5.3 BEM Formulation for Transient Problems.- 5.4 BEM Formulation for Variable Velocity Fields.- 5.5 Conclusions.- Acknowledgements.- References.- 6 - Solving Coupled Problems Involving Conduction, Convection and Thermal Radiation.- 6.1 Introduction.- 6.2 Coupled Thermal Problems with Non-Participating Medium.- 6.3 Coupled Thermal Problems with Participating Medium.- 6.4 Concluding Remarks.- Acknowledgement.- References.- 7 - Advanced Thermoelastic Analysis.- 7.1 Introduction.- 7.2 Governing Equations.- 7.3 Fundamental Solutions.- 7.4 Integral Representations of the Temperature and the Displacement Fields. Boundary Integral Equations.- 7.5 Integral Representations of the Temperature Gradients and Stresses.- 7.6 Stress Tensor and Temperature Gradient on Boundary.- 7.7 Numerical Solution.- 7.8 Stationary Problems in Media with Temperature Dependent Young’s Modulus and Coefficient of Thermal Expansion.- Appendix A.- Appendix B.- Appendix C.- Appendix D.- References.- 8 - Integral Equation Analyses of Natural Convection Problems in Fluid Flow.- 8.1 Introduction.- 8.2 Natural Convection Problems.- 8.3 Steady Analysis.- 8.4 Unsteady Analysis.- 8.5 Numerical Examples.- 8.6 Conclusions.- Acknowledgements.- References.- 9 - Improperly Posed Problems in Heat Transfer.- 9.1 Introduction.- 9.2 Formulation.- 9.3 Non-Linear Formulation.- 9.4 Existence of Solution of Problem I.- 9.5 Mathematical Models for the Solution of Problem I.- 9.6 Mathematical Model for the Solution of Problem II.- 9.7 Solutions of Some Test Examples for Problem I.- 9.8 Solution of Some Test Examples for Problem II.- 9.9 Conclusions.- Acknowledgements.- References.