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Similarity solutions of a MHD boundary-layer flow past a continuous moving surface. (English) Zbl 1213.76234
Summary: This note deals with a theoretical and numerical analysis of multiple similarity solutions of the two-dimensional MHD boundary-layer flow over a permeable surface, with a power law stretching velocity, in the presence of a magnetic field $$B$$ applied normally to the surface. We have taken the free stream velocity to vary as $$x^m$$, where $$x$$ is the coordinate along the plate measured from the leading edge and $$m$$ is a constant. The magnetic field $$B$$ is assumed to be proportional to $$x^{\frac{m-1}{2}}$$. The problem depends on the power law exponent and the magnetic parameter $$M$$ or the Stewart number. It is shown, under certain circumstance, that the problem has an infinite number of solutions.

##### MSC:
 76W05 Magnetohydrodynamics and electrohydrodynamics 76D10 Boundary-layer theory, separation and reattachment, higher-order effects 76M55 Dimensional analysis and similarity applied to problems in fluid mechanics
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