Spectral Collocation Solution of MHD Stagnation-Point Flow in Porous Media with Heat Transfer


1 Department of Mathematics, Hormozgan University, P. O. Box 3995, Bandarabbas, Iran

2 Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, 4800 Cao An Rd., Jiading, Shanghai 201804, China


An efficient Collocation method based on the shifted Legendre polynomials is implemented for solving the Magnetohydrodynamic Hiemenz flow with variable wall temperature in a porous medium. In the presented method the need for guessing and correcting the initial values during the solution procedure is eliminated and by using the given boundary conditions of the problem a stable solution can be derived. Numerical results show influence of the Prandtl number, permeability parameter, Hartmann number and suction/blowing parameter on the velocity and temperature profiles. The skin friction coefficient and the rate of heat transfer given by the Spectral Collocation method are in good agreement with those of the previous studies.