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Oscillating magnetohydrodynamic flow past a rigid plane wall

Poria S., Mazumdar H. P.

Journal of Technical Physics

2002

Vol. 43, no 3

343-350

In this paper, the effects of a magnetic field acting perpendicularly to the direction of an oscillatory, viscous, conducting, incompressible fluid stream past a fixed plane wall is investigated. The problem is first converted to the Stokes second problem by introducing a new coordinate system and prescribing the appropriate forms for the pressure gradient corresponding to two sets of boundary and initial conditions. Solutions to the problem are then obtained by invoking an invariance principle, and computed numerically for different values of a magnetic parameter. The effects of the transversal magnetic field on the velocity profiles are finally discussed.

Some effects of a transverse magnetic field on the flow of a viscous conducting fluid produced by an oscillating plane wall

Poria S., Mamaloukas C., Layek G., Mazumdar H.

Journal of Technical Physics

2001

Vol. 42, no 4

397-405

In this paper, the unsteady unidirectional motion of an incompressible vicous fluid, produced by sinusoidal oscillation of a rigid plane wall and subjected to a uniform magnetic field acting perpendicularly to the flow direction is investigated. The basic equation, governing the motion of such a flow is expressed in non-dimensional form. It is shown that this equation admits two solutions which satisfy the respective sets of boundary and initial conditions. The results, showing the development of the velocity field in time for different values of the magnetic parameter, are presented graphically and discussed.