Mixed convection flow near a stagnation point on a vertical surface with prescribed surface heat flux

Abstract

The problem of the mixed convection stagnation point flow toward a vertical surface is numerically studied in this paper. Different from the previous studies, in this paper we consider prescribed surface heat flux, instead of prescribed surface temperature. The similarity transformation is applied to the governing partial differential equations to reduce them into a system of ordinary differential equations. These equations are then solved numerically using the boundary value problem solver, bvp4c, available in the Matlab software. Dual solutions are obtained for both buoyancy assisting and buoyancy opposing flows. The temporal stability analysis is performed to determine the stability of these solutions as time passes. The effects of the governing parameters on the physical quantities of interest such as the surface shear stress and the surface temperature are discussed.