Effect of Suction on the Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet in a Porous Medium with Stability Analysis

Abstract

This research investigates the problem of stagnation point flow and heat transfer over a stretching/shrinking sheet past a porous medium with suction effect. Firstly, the mathematical model that governed the fluid flow and heat transfer were formulated. Then, the governing nonlinear partial differential equations were transformed into ordinary differential equations using similarity transformation. The system of ordinary differential equations is then solved numerically using bvp4c function in Matlab software. The effect of suction on the skin friction coefficient and the local Nusselt number, as well as the velocity and temperature profiles, are obtained and analysed. The numerical result obtained is presented in the form of graphs and tables. The dual solutions are obtained for a certain range of parameters. The stability analysis has been performed and the result shows that the upper branch solution is stable while the lower branch solution is unstable.