Mathematical modeling of fluid flow 

Pierre Proulx, p.eng. M.Sc. A., Ph.D., professor

Recent news and activities

Academic contributions

24 Ph.D. supervised and completed
13 M.Sc.A. supervised and completed
 3 Ph.D. thesis and 2 M.Sc.A thesis in supervision
journal papers published
more than 130 International conferences  
Pierre Proulx Google Scholar

What is mathematical modelling and what is simulation?

Our group develops mathematical models of complex fluid flow involving chemical reactions, porous media, electromagnetic fields, radiative heat transfer, multiphase flow, to name a few. All these phenomena can be represented using physical and chemical laws through sets of strongly coupled sets of equations. These may be non-linear partial differential equations, integro-differential equations, difference equations, etc... that must be transformed and combined. Some of the tools that are used to solve these complex coupled systems of equations come from the rich field of the Computational Fluid Dynamics (CFD), and the solution using these tools is often named numerical simulation. In essence, the mathematical model is based on the physico-chemical laws governing the system while the numerical simulation involves the selection of the appropriate numerical techniques and the optimisation of the computational techniques used.

Pr. Proulx has been active in the mathematical modelling of complex flow phenomena for more than 25 years, he published the first paper addressing the problem of two-phase inductively coupled plasma-particle interaction effects back in 1983. He has been involved in the development of mathematical models since, has published  over 75 journal papers and a hundred invited and contributed conferences on the subject of complex flow phenomena modelling. He has applied the models he developped to many different fields ranging from biological flows, to electrochemical reactors, and supersonic plasma jet. He is also recognized as an expert on the modelling of the production of nanomaterials in thermal plasma reactors and thermal plasma process modelling.