Three-dimensional mixed convection stagnation-point flow over a permeable vertical stretching/shrinking surface with a velocity slip

Abstract

This paper reports on the findings of a study attempting to investigate the steady three-dimensional mixed convection stagnation-point flow past a permeable vertical stretching/shrinking sheet with a velocity slip. In doing so, similarity transformations had to be used to help transform the partial differential equations into ordinary (similarity) differential equations, which were then solved numerically using MATLAB programme bvp4c with different values of the governing parameters. The findings of the study revealed that it was the ordinary (similarity) differential equations that had dual (upper and lower branch) solutions within a certain range of the mixed convection parameter, stretching/shrinking parameter, suction parameter and velocity slip parameter. A stability analysis was implemented in order to test the stability of the branch solutions. The effects of the governing parameters on the reduced skin friction coefficients, reduced local Nusselt number, dimensionless velocity and temperature profiles are presented graphically and discussed in detail.