Similarity solutions of MHD flows in a saturated porous medium

In this paper mathematical and numerical analyses are presented to investigate self-similarity solutions of a two-dimensional MHD boundary layer flow over a permeable surface. Required boundary conditions to obtain a similarity solution, are detailed. In the case of the Nonlinear Density Temperature (NOT) parameter, the self-similarity solution may be multiple, and the requirement of appropriate conditions of the model control parameters, provides a global similarity solution. We will explain the underlying conditions for the existence of a solution, which leads to multiple solutions in the general case. We also give some numerical results to show the MHD influence on the solution stability. (C) 2012 Elsevier Masson SAS. All rights reserved.