Dimensionless Numbers and Similarity

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


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].


Mach Number Nusselt Number Wind Tunnel Rayleigh Number Froude Number 
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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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