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The Finite Element Method in Heat Transfer and Fluid Dynamics

J. N. Reddy and D. K. Gartling

Finite element method for heat transfer and fluid dynamics applications.

Bookcover

Format: Hardcover, English, 390 pages
ISBN: 0849394104
Publisher: C. R. C. Press
Pub. Date: 1994
Edition: 1

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Table of Contents

  EQUATIONS OF HEAT TRANSFER AND FLUID MECHANICS  
  Present Study  
  Governing Equations of a Continuum  
  Governing Equations in Terms of Primitive Variables  
  Porous Flow Equations  
  Auxiliary Transport Equations  
  Chemically Reacting Systems  
  Boundary Conditions  
  Change of Phase  
  Enclosure Radiation  
  Summary of Equations  
     
  THE FINITE ELEMENT METHOD: AN OVERVIEW  
  Model Differential Equation  
  Finite Element Approximation  
  Weighted-Integral Statements and Weak Forms  
  Finite Element Model  
  Interpolation Functions  
  Assembly of Elements  
  Time-Dependent Problems  
  Axisymmetric Problems  
  Convective Boundary Conditions  
  Library of Finite Elements  
  Numerical Integration  
  Modeling Considerations  
  Illustrative Examples  
     
  3D CONDUCTION HEAT TRANSFER  
  Semidiscrete Finite Element Model  
  Interpolation Functions  
  Numerical Integration  
  Computation of Surface Fluxes  
  Semidiscrete Finite Element Model  
  Solution of Nonlinear Equations  
  Radiation Solution Algorithms  
  Variable Properties  
  Post-Processing Operations  
  Advanced Topics in Conduction  
  Examples of Diffusion Problems  
     
  VISCOUS INCOMPRESSIBLE FLOWS  
  Mixed Finite Element Model  
  Penalty Finite Element Models  
  Finite Element Models of Porous Flow  
  Computational Considerations  
  Solution of Nonlinear Equations  
  Time-Approximation Schemes  
  Stabilized Methods  
  Post-Processing  
  Advanced Topics  
  Advanced Topics - Turbulence  
  Numerical Examples  
     
  CONVECTIVE HEAT TRANSFER  
  Mixed Finite Element Model  
  Penalty Finite Element Model  
  Finite Element Models of Porous Flow  
  Solution Methods  
  Convection with Change of Phase  
  Convection with Enclosure Radiation  
  Post-Computation of Heat Flux  
  Advanced Topics - Turbulent Heat Transfer  
  Advanced Topics - Chemically Reacting Systems  
  Numerical Examples  
     
  NON-NEWTONIAN FLUIDS  
  Governing Equations of Inelastic Fluids  
  Finite Element Models of Inelastic Fluids  
  Solution Methods for Inelastic Fluids  
  Governing Equations of Viscoelastic Fluids  
  Finite Element Model of Differential Form  
  Finite Element Model of Integral Form  
  Unresolved Problems  
  Numerical Examples  
     
  COUPLED PROBLEMS  
  Coupled Boundary Value Problems  
  Fluid Mechanics and Heat Transfer  
  Solid Mechanics  
  Electromagnetics  
  Coupled Problems in Mechanics  
  Implementation of Coupled Algorithms  
  Numerical Examples  
     
  ADVANCED TOPICS  
  Parallel Processing  
  Other Topics  
     
  Note: Chapters also include an Introduction, Exercises, and References  
     
  APPENDIX A: COMPUTER PROGRAM--HEATFLOW  
  Heat Transfer and Related Problems  
  Flows of Viscous Incompressible Fluids  
  Description of the Input Data  
  A Source Listings of Selective Subroutines  
  Reference  
     
  APPENDIX B: SOLUTION OF LINEAR EQUATIONS  
  Introduction  
  Direct Methods  
  Iterative Methods  
  References for Additional Reading  
     
  APPENDIX C: FIXED POINT METHODS AND  
  Fixed Point Theorem  
  Chord Method  
  Newton's Method  
  The Newton-Raphson Method  
  Descent Methods  

Related Book Categories

Finite Element Methods


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