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Zbl 1148.76061
Ishak, Anuar; Nazar, Roslinda; Pop, Ioan
MHD boundary-layer flow due to a moving extensible surface. (English)
[J] J. Eng. Math. 62, No. 1, 23-33 (2008). ISSN 0022-0833; ISSN 1573-2703/e

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 $(x, y) = (0, 0)$. 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 2000:: *76W05 Flows in presence of electromagnetic forces
76M55 Dimensional analysis and similarity
76M20 Finite difference methods
80A20 Heat and mass transfer

Keywords: dual solutions; similarity solution; stretching sheet; Keller-box method

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Zentralblatt MATH Berlin [Germany]