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Jean-Paul Pascal
Professor, Department of Mathematics , Ryerson University

Research & Publications

Research Interests rule

My research activity is directed toward the mathematical modelling of various fluid mechanics problems. Recently, I have focused on gravity-driven flows of fluid films with a free surface which play an important part in many industrial processes. Such flows are subject to hydrodynamic instability which can result in the appearance of large amplitude wave structures propagating along the surface. In some circumstances the emergence of interfacial instability is an undesirable occurrence. In coating applications, for example, interfacial instability can cause an uneven distribution of material. In other industrial sectors however, film flows exhibiting surface waves can optimize the process. Mass and heat exchangers, for example, operate more efficiently if the surface area of the liquid-gas interface which facilitates the transport is increased. A mathematical model of the flow can be used to investigate the onset of instability in a steady flow and the evolution of the subsequent flow pattern. The nature of the substrate (the solid surface over which the fluid flows) is an important factor affecting the stability of the flow and thus must be included into the model. Furthermore, incorporating into the mathematical formulation such complexities as topography, permeability and applied heating provides a more realistic representation of situations occurring in applications.

Recent Publications rule
  • J.P. Pascal and S.J.D. D'Alessio, Thermosolutal Marangoni effects on the inclined flow of a binary liquid with variable density. I. Linear stability analysis, Phys. Rev. Fluids 1, 083603 (2016).

  • S.J.D. D'Alessio and J.P. Pascal, Thermosolutal Marangoni effects on the inclined flow of a binary liquid with variable density. II. Nonlinear analysis and simulations, Phys. Rev. Fluids 1, 083604 (2016).

  • S.J.D. D'Alessio and J.P. Pascal, The dynamics of the globe fountain, Int. J. Comp. Meth. and Exp. Meas.4(2): 131–141 (2016).

  • S.J.D. D'Alessio, C. Seth and J.P. Pascal, The effects of variable fluid properties on thin film stability, Phys. Fluids 26, 122105 (2014).

  • H. N. Kandel and J.P. Pascal, Inclined fluid film flow with bottom filtration, Phys. Rev. E 88, 052405 (2013).

  • J.P. Pascal, N. Gonputh and S.J.D. D'Alessio, Long-wave instability of flow with temperature dependent fluid properties down a heated incline, Int. J. Eng. Science Vol 70, 73-90 (2013).

  • K.A. Ogden, S.J.D. D’Alessio and J.P. Pascal, Gravity-driven flow over heated, porous, wavy surfaces, Phys. Fluids 23, 122102 (2011)

  • S.J.D. D’Alessio, J.P. Pascal, H. Jasmine and K.A. Ogden, Film flow over heated wavy inclined surfaces. J. Fluid Mech. 665, 418-456 (2010)

  • J.P. Pascal and S.J.D. D’Alessio, Instability in gravity-driven flow over uneven permeable surfaces. Int. J. Multiphase Flow Vol. 36, 449-459 (2010)

  • S.J.D. D’Alessio, J.P. Pascal and H.A. Jasmine, Instability in gravity-driven flow over uneven surfaces, Phys. Fluids, Vol. 21, 062105 (2009)

  • L.A. Finlay, S.J.D. D’Alessio and J.P. Pascal, Free convection from elliptic cylinders. Int. J. Heat and Mass Transfer. Vol. 51, 1379-1392 (2008)

  • J.P. Pascal, T.B. Moodie, N. Antar and S.J.D. D’Alessio, Solutions for initial-boundary value problems representing gravity currents arising from variable inflows. Stud. Appl. Math. Vol. 119, 127-171 (2007)

  • J.P. Pascal and S.J.D. D’Alessio, Instability of power-law fluid flows down an incline subjected to wind stress. Applied Mathematical Modelling Vol. 31, 1229-1248 (2007)