Stagnation-point Flow of a Nanofluid Past a Stretching/ Shrinking Sheet with Heat Generation/Absorption and Convective Boundary Conditions

摘要

In this study, the stagnation-point flow of a nanofluid towards a stretching/shrinking sheet with heat generation/absorption and convective boundary conditions has been analysed numerically. The governing boundary layer equations in the form of nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations by using the similarity transformations, so that they can be solved numerically by the bvp4c function (programme) in Matlab software. The effects of the associated parameters on the numerical results are illustrated in tables and figures. It is found that dual solutions exist in both cases of stretching and shrinking sheet situations. A stability analysis has been conducted to determine the stability of the dual solutions. Results from the stability analysis proved that the first solution is stable and physically realizable whereas the second solution is unstable.