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2011 | OriginalPaper | Chapter

3. Problems in Fluid Mechanics

Author : Qing-Ming Tan

Published in: Dimensional Analysis

Publisher: Springer Berlin Heidelberg

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Abstract

Application of dimensional analysis to typical problems in fluid mechanics is introduced by using a case study approach, that consists of three steps: 1. analysis of basic physical principles involved in the problem, 2. introduction of governing parameters, and 3. making useful conclusions. Some commonly used similarity criterion numbers derived through mathematical formulation of fluid flow problems are identified. Other similarity criterion numbers for some special problems are given. Flow problems are classified according to flow conditions and corresponding similarity criterion numbers are identified.

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previous chapter Fundamental Principles of Dimensional Analysis
next chapter Problems in Solid Mechanics
Literature
1.
Loitsyanskii, L.G.: Mechanics of Liquids and Gases, Pergamon Press, Oxford, (1966) (Лoйцянcкий, Л. Г.: Mexaнuкa Жuдкocmu u Гaзa. Гoc. Изд. Texн-Teop Литepaтypы, Mocквa, Лeнингpaд, (1950))
2.
Barenblatt, G. I.: Scaling, Self-similarity, and Intermediate Asymptotics . Cambridge, London. Dimensional Analysis and Intermediate Asymptotics (Cambridge Texts in Applied Mathematics) (Paperback) (1991, 1993)
3.
Shapiro, A.H.: The Dynamics and Thermodynamics of Compressible Fluid Flow, vol. I, pp. 315–327. Ronald Press Co, New York (1953)
4.
Tsien, H.S.: The equations of gas dynamics. In: Emmons, H.W. (ed.) Fundamentals of Gas Dynamics. Oxford University Press, London (1958)
Metadata
Title
Problems in Fluid Mechanics
Author
Qing-Ming Tan
Copyright Year
2011
Publisher
Springer Berlin Heidelberg
Book
Dimensional Analysis

Print ISBN: 978-3-642-19233-3

Electronic ISBN: 978-3-642-19234-0

Copyright Year: 2011

DOI
https://doi.org/10.1007/978-3-642-19234-0_3

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