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Analytical Methods for Heat Transfer and Fluid Flow Problems [electronic resource] / by Bernhard Weigand.

By: Weigand, Bernhard [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Mathematical Engineering: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015Edition: 2nd ed. 2015.Description: XXII, 310 p. 94 illus., 1 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783662465936.Subject(s): Engineering | Applied mathematics | Engineering mathematics | Thermodynamics | Heat engineering | Heat transfer | Mass transfer | Fluid mechanics | Engineering | Engineering Fluid Dynamics | Engineering Thermodynamics, Heat and Mass Transfer | Appl.Mathematics/Computational Methods of EngineeringAdditional physical formats: Printed edition:: No titleDDC classification: 620.1064 Online resources: Click here to access online
Contents:
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  Solution of Problems -- Detailed Solution of the Problems.
In: Springer eBooksSummary: 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.
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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  Solution of Problems -- Detailed Solution of the Problems.

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.

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