The Pi-Theorem: Applications to Fluid Mechanics and Heat and Mass Transfer

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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.

Author(s): L.P. Yarin (auth.)
Series: Experimental Fluid Mechanics 1
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2012

Language: English
Pages: 306
City: Heidelberg [Germany]
Tags: Engineering Fluid Dynamics;Fluid- and Aerodynamics;Engineering Thermodynamics, Heat and Mass Transfer;Computational Mathematics and Numerical Analysis

Front Matter....Pages i-xxv
The Overview and Scope of the Book....Pages 1-2
Basics of the Dimensional Analysis....Pages 3-38
Application of the Pi-Theorem to Establish Self-Similarity and Reduce Partial Differential Equations to the Ordinary Ones....Pages 39-70
Drag Force Acting on a Body Moving in Viscous Fluid....Pages 71-102
Laminar Flows in Channels and Pipes....Pages 103-130
Jet Flows....Pages 131-157
Heat and Mass Transfer....Pages 159-210
Turbulence....Pages 211-260
Combustion Processes....Pages 261-296
Back Matter....Pages 297-305