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ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508
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TORSIONAL OSCILLATIONS OF A DISK IN A CONDUCTING FLUID BOUNDED BY A POROUS MEDIUM UNDER THE EFFECT OF TRANSVERSE MAGNETIC FIELD
ABSTRAKT
The flow due to torsional oscillations of an infinite disk at a small distance from the unbounded porous medium under the effect of a transverse magnetic field has been discussed when the entire space between the disk and the porous medium is filled with a conducting fluid. It is assumed that the flow between the disk and the porous medium is governed by the modified Navier-Stokes equations and that in the porous medium by the modified Brinkman equation. The solution has been obtained by expanding all the entities in the powers of the amplitude of oscillations, which is assumed to be small. It is observed that the axial velocity in the porous medium increases with the increase of the magnetic parameter and decreases with the increase of the Darcy number. The amplitude of the transverse component of velocity decreases with the increase of the magnetic parameter in the entire region.