Integral Transforms in Computational Heat and Fluid Flow: 1st Edition (Hardback) book cover

Integral Transforms in Computational Heat and Fluid Flow

1st Edition

By Renato Machado Cotta

CRC Press

352 pages

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Hardback: 9780849386657
pub: 1993-07-23
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Description

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

Subject Categories

BISAC Subject Codes/Headings:
SCI065000
SCIENCE / Mechanics / Dynamics / Thermodynamics
TEC009020
TECHNOLOGY & ENGINEERING / Civil / General
TEC009070
TECHNOLOGY & ENGINEERING / Mechanical