
JeanPaul Pascal
Associate Professor,
Department of Mathematics ,
Ryerson University
Research & Publications
Research Interests 
My research activity is directed toward the mathematical modelling of various fluid mechanics problems. Recently,
I have focused on gravitydriven 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 liquidgas 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 

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, Longwave instability of flow with temperature dependent fluid properties down a heated incline, Int. J. Eng.
Science Vol 70, 7390 (2013).

K.A. Ogden, S.J.D. D’Alessio and J.P. Pascal, Gravitydriven 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, 418456 (2010)

J.P. Pascal and S.J.D. D’Alessio, Instability in gravitydriven flow over uneven permeable surfaces. Int. J. Multiphase Flow Vol. 36, 449459 (2010)

S.J.D. D’Alessio, J.P. Pascal and H.A. Jasmine, Instability in gravitydriven 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, 13791392 (2008)

J.P. Pascal, T.B. Moodie, N. Antar and S.J.D. D’Alessio, Solutions for initialboundary value problems representing gravity currents arising from variable inflows. Stud. Appl. Math. Vol. 119, 127171 (2007)

J.P. Pascal and S.J.D. D’Alessio, Instability of powerlaw fluid flows down an incline subjected to wind stress. Applied Mathematical Modelling Vol. 31, 12291248 (2007)

S.J.D. D’Alessio, J.P. Pascal and T.B. Moodie, Thermohaline effects in surface gravity driven flows. Int. J. Eng. Science, Vol. 44, No. 1819, 12371255 (2006).

J.P. Pascal. Instability of powerlaw fluid flow down a porous incline. J. NonNewtonian Fluid Mech. 133, 109120 (2006).

T.B. Moodie, J.P. Pascal, S.J.D. D’Alessio. Thermally enhanced motions of variableinflow surface gravitydriven flows. Stud. Appl. Math. Vol. 115, No. 4, 405432 (2005).

J.P. Pascal, T.B.Moodie, S.J.D. D’Alessio. Stratified twolayer thermallyenhanced gravitydriven flows. Int. J. Eng. Science Vol. 43, No. 12, 5978 (2005).

T.B.Moodie, J.P. Pascal and S.J.D. D’Alessio. Nonhydraulic effects in twolayer thermallyenhanced gravitydriven flows. Int. J. NonLinear Mechanics, Vol. 40, No. 1, 1125 (2005).

S.J.D. D’Alessio, J.P. Pascal, and T.B. Moodie. Thermally enhanced gravity driven flows. J. Comp. Appl. Math. Vol. 170, No. 1, 125 (2004)

J.P. Pascal. A twolayer model for a nonNewtonian gravity current subjected to windshear. Acta Mechanica. Vol. 162, 8398 (2003).

J.P. Pascal and S.J.D. D’Alessio. The effect of density extremum and rotation on the onset of thermal instability. Int. Journal of Numerical Methods for Heat & Fluid Flow. Vol. 13, No. 3, 266285 (2003)

