Magnetohydrodynamic Stagnation Point Flow and Heat Transfer of Casson Nanofluid Past a Stretching Sheet with Slip and Convective Boundary Condition

Abstract

The present study examines the effect of slip and convective boundary condition on magnetohydrodynamic (MHD) stagnation point flow and heat transfer due to Casson nanofluid past a stretching sheet. Similarity transformation is used to convert the nonlinear governing equations and their associated boundary conditions into dimensionless form. The resulting system of ordinary differential equations is then solved numerically using the Runge-Kutta-Fehlberg method along with shooting technique. Numerical results are obtained for velocity, temperature, and concentration distribution as well as for the skin friction coefficient, the local Nusselt number, and Sherwood number. It is found that the local Nusselt number and Sherwood number decrease with an increase in Casson parameter γ. However, the skin friction coefficient -f″(0) increases with an increase in Casson parameter γ and decreases with an increase in velocity ratio parameter A. The results are displayed both in graphical and tabular form to illustrate the effect of the governing parameters on the dimensionless velocity, temperature, and concentration. Then, comparison has been made and found to be in good agreement with a previous published result on special cases of the problem.