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Journal ArticleDOI

Unsteady Flows in an Elastico-Viscous Fluid Induced by Torsional Oscillations of a Plate

01 Jan 1976-Japanese Journal of Applied Physics (IOP Publishing)-Vol. 15, Iss: 1, pp 151-157
TL;DR: In this paper, a study is made of the unsteady flows in an electrically conducting elastico-viscous rotating liquid in the presence of a uniform magnetic field due to small amplitude torsional oscillations of an infinite, rigid nonconducting plate.
Abstract: A study is made of the unsteady flows in an electrically conducting elastico-viscous rotating liquid in the presence of a uniform magnetic field due to small amplitude torsional oscillations of an infinite, rigid non-conducting plate. This analysis is aimed at finding the general features of the steady as well as the unsteady velocity field, and the structure of the associated boondary layers on the plate. The significant interaction of rotation, hydromagnetic and elastic parameters involved in the problem is examined. The velocity field related to the small elastic parameter is calculated with physical significance. The Ekman suction velocity is calculated as the limit of w(z, t) when z→∞t→∞ and is shown to be non-zero. It is shown that the non-zero Ekman suction velocity represents the generation of an axial inflow toward the boundary layers, Several limiting results are shown to follow as special cases of this analysis.
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Journal ArticleDOI
TL;DR: The flow due to torsional oscillations of a disk about a steady rotation in an elastico-viscous fluid which is also rotating has been analyzed and it is found that the depth of penetration or wave length decreases for 0 0.58.
Abstract: The flow due to torsional oscillations of a disk about a steady rotation in an elastico-viscous fluid which is also rotating has been analyzed. The flow is characterized by two circularly polarized waves travelling with different velocities. It is found that the depth of penetration or wave length decreases for 0 0.58

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