Analytical Methods for Heat Transfer and Fluid Flow Problems

Description

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. 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 — 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