Analytical Methods for Heat Transfer and Fluid Flow Problems

ISBN-13: 9783642060793 / Angielski / Miękka / 2010 / 258 str.

Bernhard Weigand

Opis

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.

Recenzje

From the reviews:

"The main aim of the present book is to show the usefulness of analytical methods, in a world, which focuses more and more on numerical methods. ... The book is written for graduate students and engineers. ... At the end of every chapter, problems are shown, which the reader may solve to check his/her knowledge." (Claudia-Veronika Meister, Zentralblatt MATH, Vol. 1073, 2005)

"The intention of the author of this modest little book is to provide a guide for analytic methods for the solution of heat transfer problems. ... A list of symbols is provided at the start, some 200 references are cited, and there is a shortish index. ... The author intends his book for graduate students and engineers. ... It will mainly serve as a reference for those interested in technical heat transfer calculations." (A. C. Fowler, Journal of Fluid Mechanics, Vol. 547, 2006)

"The main aim of this book is to 'show the usefulness of analytical methods in a world which focuses more and more on numerical methods (in heat transfer and fluid flow)'. The intended readership is researchers from the relevant engineering community and their students. ... the mathematician can use the book as an entrée to selected parts of the engineering literature, both theoretical and experimental." (J. R. Ockendon, Mathematical Reviews, Issue 2005 h)

"Analytical methods for heat transfer and fluid flow problems is designed to show the usefulness of analytical methods for solving problems ... . The book's target audience is engineers and engineering students, people with a good understanding of basic engineering mathematics. ... The book is laid out clearly, making good use of tables and graphs when necessary. All problems are solved in clear steps ... . It's a useful reference for those working in this field ... ." (Ragan Nelson, The Chemical Engineer, October, 2006)

Spis treści

Linear Partial Differential Equations.- Heat Transfer in Pipe and Channel Flows (Parabolic Problems).- Analytical Solutions for Sturm — Liouville Systems with Large Eigenvalues.- Heat Transfer in Duct Flows for Small Peclet Numbers (Elliptic Problems).- Nonlinear Partial Differential Equations.

O autorze

Bernhard Weigand ist Professor und leitet das Instituts für Thermodynamik der Luft- und Raumfahrt an der Universität Stuttgart. Er promovierte 1992 an der TU Darmstadt. Von 1992 bis 1999 arbeitete er bei der ABB Kraftwerke AG in Baden (Schweiz). Hier begleitete er verschiedene Positionen. So war er verantwortlich für die Grundlagenentwicklung der Programme für die Wärmeübertragung und die Kühlung für Gasturbinenschaufeln als auch für die Kühlungsauslegung aller neuen Gasturbinenschaufeln. Parallel zu seiner Arbeit in der Industrie habilitierte er sich an der TU Darmstadt in 1997 auf dem Gebiet der Thermodynamik. Seit April 1999 wechselte er an die Universität Stuttgart, wo er von 2002-2006 Dekan der Fakultät Luft- und Raumfahrttechnik und Geodäsie war. Von 2006 - 2009 begleitete er die Position des Prorektors für Struktur an der Universität Stuttgart.