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MHD boundary-layer flow due to a moving extensible surface. (English) Zbl 1148.76061
Summary: We consider a flow due to a moving extensible sheet that obeys a general stretching law. The sheet occupies the negative $x$-axis and is moving continually in the positive $x$-direction, in an incompressible viscous and electrically conducting fluid. The sheet somehow disappears in a sink that is located at $\left(x,y\right)=\left(0,0\right)$. The governing system of partial differential equations is first transformed into a system of ordinary differential equations, and the transformed equations are solved numerically using a finite difference scheme, namely the Keller-box method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. It is found that dual solutions exist for the flow near $x=0$, where the velocity profiles show a reversed flow.
##### MSC:
 76W05 Magnetohydrodynamics and electrohydrodynamics 76M55 Dimensional analysis and similarity (fluid mechanics) 76M20 Finite difference methods (fluid mechanics) 80A20 Heat and mass transfer, heat flow
##### References:
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