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The Pi-Theorem

by Yarin, L.P.
Authors: SpringerLink (Online service) Series: Experimental Fluid Mechanics ; . 1 Physical details: XXVI, 306 p. online resource. ISBN: 3642195652 Subject(s): Engineering. | Computer science %Mathematics. | Hydraulic engineering. | Engineering. | Engineering Fluid Dynamics. | Fluid- and Aerodynamics. | Engineering Thermodynamics, Heat and Mass Transfer. | Computational Mathematics and Numerical Analysis.
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E-Book E-Book AUM Main Library 620.1064 (Browse Shelf) Not for loan

Basics of the dimensional analysis -- Application of the Pi-theorem to establish self-similarity and reduce partial differential equations to the ordinary ones -- Drag force acting on a body moving in viscous fluid -- Laminar flows in channels and pipes -- Jet flows -- Heat and mass transfer -- Turbulence -- Combustion processes.

This volume presents applications of the Pi-Theorem to fluid mechanics and heat and mass transfer. The Pi-theorem yields a physical motivation behind many flow processes and therefore it constitutes a valuable tool for the intelligent planning of experiments in fluids. After a short introduction to the underlying differential equations and their treatments, the author presents many novel approaches how to use the Pi-theorem to understand fluid mechanical issues. The book is a great value to the fluid mechanics community, as it cuts across many subdisciplines of experimental fluid mechanics.

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