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Zbl 1213.76234
Aly, Emad H.; Benlahsen, M.; Guedda, M.
Similarity solutions of a MHD boundary-layer flow past a continuous moving surface. (English)
[J] Int. J. Eng. Sci. 45, No. 2-8, 486-503 (2007). ISSN 0020-7225

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 2000:: *76W05 Flows in presence of electromagnetic forces
76D10 Boundary-layer theory (incompressible fluids)
76M55 Dimensional analysis and similarity

Keywords: boundary-layer; porous media; similarity solutions; existence; non-existence; multiple solutions

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Zentralblatt MATH Berlin [Germany]