Marangoni convection of non-Newtonian power law fluids in a shallow rectangular cavity

Analytical and numerical studies are conducted for two-dimensional steady-s tate Marangoni convection of a non-Newtonian power late, fluid confined in a rectangular horizontal shallow cavity subjected to a horizontal temperatu re gradient between the two short vertical rigid sides, while the tipper fr ee surface and the lower rigid one are insulated The effect of the non-Newt onian behavior on the hydrodynamic stability, the fluid flow the temperatur e field, and the heat transfer is studied The parallel flow is obtained in some particular situations for which a good agreement is observed between t he analytical results based on the parallel flow assumption and those corre sponding to the numerical simulations.