J. Hirschhorn - Penn State University, York Campus, York, Pennsylvania ۱۷۴۰۳-۳۳۲۶, USA
M. Madsen - Penn State University, York Campus, York, Pennsylvania ۱۷۴۰۳-۳۳۲۶, USA
A. Mastroberardino - Penn State Erie, The Behrend College, Erie, Pennsylvania ۱۶۵۶۳-۰۲۰۳, USA
J. I. Siddique - Penn State University, York Campus, York, Pennsylvania ۱۷۴۰۳-۳۳۲۶, USA

In this paper, we consider the magnetohydrodynamic (MHD) boundary layer flow and heat transfer of power law fluid over a flat plate with slip boundary conditions. We use a similarity transformation to convert the governing nonlinear partial differential equations into a system of ordinary differential equations and solve the resulting system numerically using MATLAB’s boundary value solver, bvp۴c, and the shooting method. We present velocity and temperature profiles within the boundary layer and demonstrate the effect of changing the magnetic parameter, Prandtl number, and slip parameters.

Magnetohydrodynamic flow, Nonlinear boundary value problem, Slip flow, NonNewtonian fluid