Mixed convection flow of Newtonian fluids over an upper horizontal thermally stratified melting surface of a paraboloid of revolution

Abstract

This article presents the combined effects of melting heat transfer and linear stratification of not only the heat energy, but also stratified concentration on the motion of an electrically conducting fluid over an object with a non-uniform thickness. Owing to the melting heat transfer and stretching of fluid layers at the free stream, the case of mixed convection is considered to be more appropriate than neither free nor forced convection. Consequently, the energy and concentration equations which model the flow and satisfy the free stream conditions are presented. Suitable thermophoresis model and Boussinesq approximation for the case Tm(x) < T∞(x) and Cm(x)