Buoyant Marangoni convection of weakly non‐Newtonian power law fluids in a shallow rectangular cavity

Abstract

Analytical and numerical studies are conducted for two‐dimensional steady‐state coupled Marangoni and buoyancy convection of a non‐Newtonian power law fluid confined in a rectangular horizontal shallow cavity subjected to a horizontal temperature gradient between the two short vertical rigid sides, while the upper free surface and the lower rigid one are insulated. The results obtained by combining the two basic mechanisms (thermocapillarity and buoyancy) depend on whether their effects are aiding or opposite. The effect of the non‐Newtonian behavior on 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.

Citation

Naïmi, M., Hasnaoui, M. and Platten, J.K. (2002), "Buoyant Marangoni convection of weakly non‐Newtonian power law fluids in a shallow rectangular cavity", Engineering Computations, Vol. 19 No. 1, pp. 49-91. https://doi.org/10.1108/02644400210413658