Integral Transforms in Computational Heat and Fluid Flow

Integral Transforms in Computational Heat and Fluid Flow

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Hardback
ISBN 9780849386657
Cat# 8665

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Features

  • Uses a dynamic approach to problem-solving, including linear and non-linear systems
  • Stresses the generalized integral transforms technique
  • Clearly demonstrates the advantages of the hybrid method over purely numerical techniques
  • Emphasizes presentation of results, detailing the required derivations, and describing the computer implementation of the method in each class of problems
  • Summary

    Integral Transforms in Computational Heat and Fluid Flow is a comprehensive volume that emphasizes the generalized integral transform technique (G.I.T.T.) and the developments that have made the technique a powerful computational tool of practical interest. The book progressively demonstrates the approach through increasingly difficult extensions and test problems. It begins with an overview of the generalized integral transform technique in contrast with classical analytical ideas.
    Various applications are presented throughout the book, including transient fin analysis with time-dependent surface dissipation, laminar forced convection inside externally finned tubes, metals oxidation at high temperatures, forced convection in liquid metals, and Navier-Stokes equations.

    Table of Contents

    INTRODUCTION
    THE CLASSICAL INTEGRAL TRANSFORM TECHNIQUE
    General Solution for a Base Problem - Parabolic System
    Steady Multidimensional Problem - Elliptic System
    Eigenvalue Problem
    SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
    Linear Systems
    Numerical Methods and Stiff Systems
    Infinite Systems and Approximate Solutions
    PROBLEMS WITH VARIABLE EQUATION COEFFICIENTS
    Transient Problem (Parabolic System)
    Steady-State Problem (Elliptic System)
    Applications
    PROBLEMS WITH VARIABLE BOUNDARY CONDITION COEFFICIENTS
    Time-dependent Boundary Condition Coefficients
    An Alternative Approach
    Space-dependent Boundary Condition Coefficients
    Applications
    PROBLEMS WITH VARIABLE BOUNDARIES
    Moving Boundary Problems
    Diffusion within Irregular Domains - Elliptic Problem
    Diffusion within Irregular Domains - Parabolic Problem
    Applications
    PROBLEMS THAT INVOLVE DIFFICULT AUXILIARY PROBLEMS
    Sturm-Liouville Problem with a Laplace Transform Variable
    Sturm-Liouville Problem with Complex Variables
    Non-separable Sturm-Liouville Systems
    Non-classical Eigenvalue Problems
    AN INTRODUCTION TO THE SOLUTION OF NONLINEAR DIFFUSION-CONVECTION PROBLEMS
    Nonlinear Source Terms
    Nonlinear Convective Terms
    Nonlinear Diffusion Coefficients
    Computational Procedure
    Applications
    REFERENCES
    APPENDICES
    A - Notes
    B - Alternative Solution of Nonhomogeneous Problems
    C - Integral Transform Method for Eigenvalue Problems