Stagnation Point Flow of A Non-Newtonian Fluid

Abstract

Both Hiemenz flow and Homann flow are two classical problems in the field of fluid dynamics. In this project, both the flows are re-considered and the numerical solutions are obtained. Homann flow is studied with and without the presence of partial slip. These partial differential equations are reduced to ordinary differential equations using the similarity transformations. The obtained highly nonlinear ordinary differential equations with the relevant boundary conditions are solved using 4th order Runge-kutta method. The effects of flow parameters on the momentum boundary layer are studied in detail. It is observed that slip has significant effects on the velocity profiles.