Forced Convective Heat Transfer in Magnetohydrodynamic Boundary Layer Flow Under Slip Boundary Condition

Heat transfer in boundary layer flow with slip boundary condition

Abstract

This paper examines the magnethydrodynamic boundary layer flow and associated forced convective heat transfer over a permeable wedge with the slip velocity and viscous dissipation on an the electrically conducting fluid. It is considered that a magnetic field is applied normally to the flow direction, and the wedge velocity and mainstream flow are both functions of distance along the wedge wall. Applying the appropriate similarity transformations to a set of Prandtl boundary layer equations, the modeled system of ordinary differential equations are obtained. The shooting algorithm which is a combination of Runge-Kutta and secant method is used to solve these governing equations. Numerical results demonstrate that the boundary layer thickness, velocity and temperature profiles are greatly influenced by the pressure gradient, Hartmann number, slip velocity, Prandtl number and Eckert number. In particular, both momentum and thermal boundary layer thicknesses are thin for which velocity and temperature profiles are benign. The interesting physical mechanisms are discussed in detail.