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Unsteady Gasdynamics
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Prof. J.J. Gottlieb Professor J.J. Gottlieb
University of Toronto
Institute for Aerospace Studies
4925 Dufferin St., Ontario, Canada M3H 5T6

Phone:   +1-416-667-7740
Fax:       +1-416-667-7799         
Email:     gottlieb (at_sign) utias.utoronto.ca


Professor Gottlieb's research is primarily in the fields of gasdynamics, fluid dynamics, and thermodynamics, with a special interest in shock and expansion wave phenomena in gases, liquids, and solids. This research involves analytical, numerical and computational methods, along with the modelling of complex physical processes to provide an enhancement in our understanding of the physical processes and thereby facilitate solutions to scientific and engineering problems with creativity and elegance when possible, rather than simply utilizing brute-force computational methods.

Past applications of Gottlieb's research with graduate students include solid-propellant rocket motors, projectile launchers, supersonic and hypersonic wind tunnels, supersonic and hypersonic flight, shock tubes, blast simulators, and chemical explosions from past and new energetic materials. Although analytical and numerical solutions are normally the goals of the research, modern computational fluid dynamics is used frequently as a tool. Current research emphasis is involved with (a) gas-particle flows in solid-propellant rocket motors, (b) shock-wave reflection from rigid surfaces aimed at solving two 60-year-old von Neumann paradoxes, (c) filling vehicle fuel tanks with gaseous hydrogen or natural gas and predicting the resulting fuel temperature rise in an unknown volume of the vehicle tank, (d) inexpensive measurement techniques for the determination of supersonic flow properties (pressure, temperature, Mach number) and importantly the injectant fuel mass fraction for tubulent fuel-air mixing flows in scramjet propulsion engines, and (e) improved numerical methods of computing complex chemical equilibrium mixture compositions for the combustion of energetic materials with hundreds of gaseous and condensed species as reaction products and simultaneously including the melting of solid species.


Gottlieb's research on rocket motors, shock-wave reflections and chemical equilibrium stem partly from military applications at the Defence Research and Development Canada (Suffield and Valcartier), the research on the gaseous fueling of vehicle tanks applys to future fueling service stations in the coming hydrogen economy, related to new companies like FTI International in Toronto, and the research on supersonic flow measurements is connected directly to future civilian and military hypersonic flight and the related studies at the NASA Glenn Research Center in the United States.

Faculty of Applied Science and Engineering University of Toronto Institute for Aerospace Studies UTIAS