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TORSIONAL OSCILLATIONS OF A DISK IN A SECOND GRADE FLUID BOUNDED BY A POROUS MEDIUM UNDER THE EFFECT OF A TRANSVERSE MAGNETIC FIELD

卷 5, 册 2, 2014, pp. 95-106
DOI: 10.1615/SpecialTopicsRevPorousMedia.v5.i2.10
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摘要

The flow due to torsional oscillations of an infinite disk at a small distance from an unbounded porous medium under the effect of a transverse magnetic field, when the entire space between the disk and the porous medium is filled with a second grade fluid, is discussed. It is assumed that the flow between the disk and the porous medium is governed by the equation of motion of the second grade fluid and that the flow in the porous medium is governed by the modified Brinkman equation. The solution has been obtained by expanding all entities in the power of the amplitude of oscillations, which is assumed to be small. The effect of the non-Newtonian parameter is that it enhances the axial and radial velocities in the entire region and reduces the amplitude of the transverse component of velocity. The magnetic parameter enhances the axial velocity in the porous medium, while the non-Newtonian parameter increases the steady axial flow from the porous medium to the free-flow region. The Darcy number (porous parameter) tends to reduce it.

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