Magnetohydrodynamics Thermocapillary Marangoni Convection Heat Transfer of Power Law Fluids Driven by Temperature Gradient

Abstract

This paper presents an investigation for magnetohydrodynamics (MHD) thermocapillary Marangoni convection heat transfer of an electrically conducting powerlaw fluid driven by temperature gradient. The surface tension is assumed to vary linearly with temperature and the effects of powerlaw viscosity on temperature fields are taken into account by modified Fourier law for powerlaw fluids (proposed by Pop). The governing partial differential equations are converted into ordinary differential equations and numerical solutions are presented. The effects of the Hartmann number, the powerlaw index and the Marangoni number on the velocity and temperature fields are discussed and analyzed in detail.