Analytical Methods for Heat Transfer and Fluid Flow Problems

1. Front Matter

   Pages i-xxii

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2. Introduction

   • Bernhard Weigand

   Pages 1-11

3. Linear Partial Differential Equations

   • Bernhard Weigand

   Pages 13-45

4. Heat Transfer in Pipe and Channel Flows (Parabolic Problems)

   • Bernhard Weigand

   Pages 47-90

5. Analytical Solutions for Sturm-Liouville Systems with Large Eigenvalues

   • Bernhard Weigand

   Pages 91-119

6. Heat Transfer in Duct Flows for Small Peclet Numbers (Elliptic Problems)

   • Bernhard Weigand

   Pages 121-171

7. Nonlinear Partial Differential Equations

   • Bernhard Weigand

   Pages 173-216

8. Back Matter

   Pages 217-310

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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.

• Analytical Solutions
• Convective Heat Transfer
• Internal heat transfer
• Nusselt-Graetz problems
• Similarity solutions

• Institut für Thermodynamik der Luft- und Raumfahrt, Stuttgart, Germany

  Bernhard Weigand

Professor Weigand studied Mechanical Engineering at the Technical University of Darmstadt, where he was also research assistant at the Institute for Technical Thermodynamics. After his Ph.D. in 1992, he was employed at ABB Power Generation LtD in Baden / Switzerland. There he was responsible for the cooling design of all new gas turbine blades and for the basic research on Heat Transfer and Cooling. Since 1999, he is Professor for Thermodynamics at the University of Stuttgart.

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