The Pi-Theorem

Dr. Yarin is Visiting Professor of Faculty of Mechanical Engineering at the Technion - Israel Institute of Technology. He received his MS degree from Polytechnic Institute of Kharkov in 1952, his Candidate of Technical Sciences (Ph.D) degree from Institute of Energetics Acad. Of Kazakhstan in 1962 and his Doctor of Technical Sciences degree from the Institute of High Temperatures Acad. Sci. USSR in 1970. He is the author of about . 200 research works (including 5 monographs) in the fields of the Combustion Theory, Heat and Mass Transfer, Two-Phase Flows, Turbulent Flows, Energetics, Aircraft and Rocket Engines, Experimental Method in Gas Dynamics and Heat Transfer, Thermoanemometry, High Temperature Combustion Reactors and Microfluid Mechanics. The research activities of Professor Yarin have focused on detailed analysis of aerodynamics and thermal regimes of combustion in gas torches, gas, liquid fuels and coal combustion, combustion waves propagations in porous and bubbly media aerodynamics of furnaces and combustion chambers of jet and rocket engines, gasodynamics of jet flows, hydrodynamics of stratified flows, magnetohydrodynamics, turbulent two-phase flows, as well as the theory of chemical reactors, microfluid mechanics, in particular heat and mass transfer in micro-channels. He was Professor, Heat and Chair of Engineering Thermal Physics in Ukta Industrial Institute, where teaching undergraduate and graduate courses in Hydrodynamics, Heat and Mass Transfer, Thermodynamics. He is also teaching in Technion - Israel Institute of Technology undergraduate, graduate and Ph.D course "Principles of Combustion of Two-Phase Media."

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.