Marangoni convection of non-Newtonian power law fluids in a shallow rectangular cavity
Analytical and numerical studies are conducted for two-dimensional steady-state Marangoni convection of a non-Newtonian power late, fluid confined in a rectangular horizontal shallow cavity subjected to a horizontal temperature gradient between the two short vertical rigid sides, while the tipper free surface and the lower rigid one are insulated The effect of the non-Newtonian behavior on the hydrodynamic stability, the fluid flow the temperature field, and the heat transfer is studied The parallel flow is obtained in some particular situations for which a good agreement is observed between the analytical results based on the parallel flow assumption and those corresponding to the numerical simulations.
convection heat transfer non-newtonian fluids surface tension