Similarity solutions of MHD flows in a saturated porous medium

Abstract 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 (NDT) 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.

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