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Heat transfer in magnetohydrodynamic flow near a stagnation point
Authors:R J Gribben
Institution:(1) Department of Mathematics, University of Southampton, England;(2) Present address: the Department of Mathematics, University of Strathclyde, Glasgow, Scotland. UK
Abstract:Summary Steady, axisymmetric, magnetohydrodynamic flow with a stagnation point on an infinite plane wall is considered with a magnetic field applied normal to the wall. Solutions are obtained in the form of series for the velocity, magnetic field and temperature when the magnetic field parameter (gamma) and the ratio of viscosity to magnetic diffusivity (epsi) are small. The casegamma=O(1) is considered briefly when solutions which Meyer3) obtained by physical order-of-magnitude arguments are derived mathematically as expansions inepsi. Some remarks are made on the consistency of extending the results to flow within the boundary layer near the nose of a bluff body.
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