The present paper deals with a theoretical and numerical analysis of similarity solutions of the two-dimensional boundary-layer flow of a power-law non-Newtonian fluid past a permeable surface in the presence of a magnetic field B(x) applied perpendiculaire to the surface. The magnetic field B is assumed to be proportional to x~((m-1)/2), where x is the coordinate along the plate measured from the leading edge and m is a constant. The problem depends on the power law exponent m, the power-law index, n, and the magnetic parameter M or the Stewart number. It is shown, under certain circumstance, that the problem has an infinite number of solutions.
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