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The Pi-Theorem [electronic resource] :Applications to Fluid Mechanics and Heat and Mass Transfer / by L.P. Yarin.

by Yarin, L.P [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Experimental Fluid Mechanics: 1Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.Description: XXVI, 306 p. online resource.ISBN: 9783642195655.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 AnalysisDDC classification: 620.1064 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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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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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