<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 Bernhard Weigand (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 2015
- Tongue
- English
- Leaves
- 320
- Series
- Mathematical Engineering
- Edition
- 2
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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 understanding of approaches and solutions.
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.
The second edition has been updated, the chapters on non-linear problems and on axial heat conduction problems were extended. And worked out examples were included.
β¦ Table of Contents
Front Matter....Pages i-xxii
Introduction....Pages 1-11
Linear Partial Differential Equations....Pages 13-45
Heat Transfer in Pipe and Channel Flows (Parabolic Problems)....Pages 47-90
Analytical Solutions for Sturm-Liouville Systems with Large Eigenvalues....Pages 91-119
Heat Transfer in Duct Flows for Small Peclet Numbers (Elliptic Problems)....Pages 121-171
Nonlinear Partial Differential Equations....Pages 173-216
Back Matter....Pages 217-310
β¦ Subjects
Engineering Fluid Dynamics; Engineering Thermodynamics, Heat and Mass Transfer; Appl.Mathematics/Computational Methods of Engineering
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>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.
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