Journal of Theoretical
and Applied Mechanics
51, 3, pp. 675-686, Warsaw 2013
Analytical solution for magnetohydrodynamic stagnation point flow and heat transfer over a permeable stretching sheet with chemical reaction
This work deals with the problem of steady two-dimensional magnetohydrodynamic (MHD) stagnation point flow towards a permeable stretching sheet with chemical reaction. The fundamental equations of the boundary layer are transformed into ordinary differential equations, which are then solved analytically using the Optimal Homotopy Asymptotic Method (OHAM). Comparisons are made between the results of the proposed method and the numerical method (fourth-order Runge-Kutta) in solving this problem, and excellent agreement has been observed. Subsequently, effects of different involved parameters on the temperature profiles, concentration profiles, local Nusselt number, local Sherwood number and skin-friction coefficient are presented and discussed in detail.
Keywords: MHD stagnation point flow; permeable stretching sheet; heat and mass transfer; Optimal Homotopy Asymptotic Method (OHAM)