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Dimensionless Numbers and Similarity

  • Roger Prud’homme
Chapter
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 94)

Abstract

This chapter presents the principles of dimensional analysis and the similarity method. Section 5.1 introduces basic aspects of dimensional analysis such as the definition ofIIi ratios and Vashi-Buckingham’s theorem. The practical utility of dimensional analysis is then emphasized using the determination of head loss in a cylindrical pipe as an example. Indeed, dimensional analysis is a necessary step in the analysis of any physical problem [63].

Keywords

Mach Number Nusselt Number Wind Tunnel Rayleigh Number Froude Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Institut Jean Le Rond d’AlembertUniversité Pierre et Marie Curie and CNRSParis Cedex 05France

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