<P>Although the solution of Partial Differential Equations by numerical methods is the standard practice in industries, analytical methods are still important for the critical assessment of results derived from advanced computer simulations and the improvement of the underlying numerical techniques.
Analytical Methods for Heat Transfer and Fluid Flow Problems
β Scribed by Professor Dr.-Ing. Bernhard Weigand (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 2004
- Tongue
- English
- Leaves
- 270
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Although the solution of Partial Differential Equations by numerical methods is the standard practice in industries, analytical methods are still important for the critical assessment of results derived from advanced computer simulations and the improvement of the underlying numerical techniques. Literature devoted to analytical methods, however, often focuses on theoretical and mathematical aspects and is therefore useless to most engineers. Analytical Methods for Heat Transfer and Fluid Flow Problems addresses engineers and engineering students. It describes useful analytical methods by applying them to real-world problems rather than solving the usual over-simplified classroom problems. The book demonstrates the applicability of analytical methods even for complex problems and guides the reader to a more intuitive understanding of approaches and solutions.
β¦ Table of Contents
Front Matter....Pages I-XX
Introduction....Pages 1-10
Linear Partial Differential Equations....Pages 11-42
Heat Transfer in Pipe and Channel Flows (Parabolic Problems)....Pages 43-85
Analytical Solutions for Sturm β Liouville Systems with Large Eigenvalues....Pages 87-116
Heat Transfer in Duct Flows for Small Peclet Numbers (Elliptic Problems)....Pages 117-163
Nonlinear Partial Differential Equations....Pages 165-202
Back Matter....Pages 203-258
β¦ Subjects
Engineering Fluid Dynamics;Engineering Thermodynamics, Heat and Mass Transfer;Appl.Mathematics/Computational Methods of Engineering;Automotive Engineering;Fluid- and Aerodynamics;Thermodynamics
π SIMILAR VOLUMES
<P>Although the solution of Partial Differential Equations by numerical methods is the standard practice in industries, analytical methods are still important for the critical assessment of results derived from advanced computer simulations and the improvement of the underlying numerical techniques.
<p>Although the solution of Partial Differential Equations by numerical methods is the standard practice in industries, analytical methods are still important for the critical assessment of results derived from advanced computer simulations and the improvement of the underlying numerical techniques.
<p><p>This book describes useful analytical methods by applying them to real-world problems rather than solving the usual over-simplified classroom problems. The book demonstrates the applicability of analytical methods even for complex problems and guides the reader to a more intuitive understandin
General Remarks. Governing Equations. Classification of Differential Equations. Well-Posed Problems. Numerical Methods. The Finite DIfference Method. Basic Principles. The One-Dimensional Case. The Two-Dimensional Case. The Three-Dimensional Case. Stability and Convergence. Hyperbolic PDEs. Explicit
<p><p>Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems and often fail when used for problems with strong nonlinearity. βNonlinear Flow Phenomena and