The Pi-Theorem Applications to Fluid Mechanics and Heat and Mass Transfer [Hardcover]

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.This book examines applications of the Pi-Theorem to fluid mechanics and heat and mass transfer. After introducing the underlying differential equations and treatments, the author offers novel approaches for using the Pi-theorem to understand 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.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.Cuts across many subdisciplines of experimental fluid mechanics to unify understandingYields a physical motivation behind many flow processes and serves as a tool for intelligent planning of experimentsPresents many novel al3+