The Pi-Theorem, 2012
Applications to Fluid Mechanics and Heat and Mass Transfer
Experimental Fluid Mechanics Series

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.

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.

Cuts across many subdisciplines of experimental fluid mechanics to unify understanding Yields a physical motivation behind many flow processes and serves as a tool for intelligent planning of experiments Presents many novel approaches to using the Pi-theorem to understand fluid mechanical issues. Includes supplementary material: sn.pub/extras