Research Catalog

Integral transforms in computational heat and fluid flow

Title
Integral transforms in computational heat and fluid flow / Renato Machado Cotta.
Author
Cotta, Renato Machado.
Publication
Boca Raton, Fla. : CRC Press, ©1993.

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StatusFormatAccessCall NumberItem Location
TextUse in library TJ260 .C68 1993Off-site

Details

Description
340 pages : illustrations; 25 cm
Subject
  • Heat > Transmission > Mathematics
  • Fluid dynamics > Mathematics
  • Fluid dynamics > Mathematics
  • Heat > Transmission > Mathematics
  • Hydrodynamik
  • Integraltransformation
  • Wärmeübertragung
  • Mecanica e dinamica dos fluidos
  • Calor e temperatura
Bibliography (note)
  • Includes bibliographical references (p. 303-313) and index.
Contents
I. Introduction -- II. The Classical Integral Transform Technique -- II.1. General Solution for a Base Problem -- Parabolic System -- II.2. Steady Multidimensional Problem -- Elliptic System -- II.3. Eigenvalue Problem -- III. Systems of Ordinary Differential Equations -- III.1. Linear Systems -- III.2. Numerical Methods and Stiff Systems -- III.3. Infinite Systems and Approximate Solutions -- IV. Problems With Variable Equation Coefficients -- IV.1. Transient Problem (Parabolic System) -- IV.2. Steady-State Problem (Elliptic System) -- IV.3. Applications -- V. Problems With Variable Boundary Condition Coefficients -- V.1. Time-dependent Boundary Condition Coefficients -- V.2. An Alternative Approach -- V.3. Space-dependent Boundary Condition Coefficients -- V.4. Applications -- VI. Problems With Variable Boundaries -- VI.1. Moving Boundary Problems -- VI.2. Diffusion within Irregular Domains -- Elliptic Problem -- VI.3. Diffusion within Irregular Domains -- Parabolic Problem -- VI.4. Applications -- VII. Problems That Involve Difficult Auxiliary Problems -- VII.1. Sturm-Liouville Problem with a Laplace Transform Variable -- VII.2. Sturm-Liouville Problem with Complex Variables -- VII.3. Non-separable Sturm-Liouville Systems -- VII.4. Non-classical Eigenvalue Problems -- VIII. An Introduction to the Solution of Nonlinear Diffusion-Convection Problems -- VIII.1. Nonlinear Source Terms -- VIII.2. Nonlinear Convective Terms -- VIII.3. Nonlinear Diffusion Coefficients -- VIII.4. Computational Procedure -- VIII.5. Applications -- IX. References -- X. Appendices -- Appendix A: Notes -- Appendix B: Alternative Solution of Nonhomogeneous Problems -- Appendix C: Integral Transform Method for Eigenvalue Problems.
ISBN
  • 0849386659
  • 9780849386657
LCCN
93013770
OCLC
  • ocm28111457
  • 28111457
  • SCSB-9276466
Owning Institutions
Princeton University Library