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Effects of Hall Current and Ion-Slip on MHD Flow Induced by Torsional Oscillations of a Disc in a Rotating Fluid

Published online by Cambridge University Press:  29 January 2013

N. Ghara ,
S. Das ,
S. L. Maji  and
R. N. Jana
N. Ghara
Affiliation:
Department of Applied Mathematics, Vidyasagar University, Midnapore 721 102, West Bengal, India
S. Das*
Affiliation:
Department of Applied Mathematics, Vidyasagar University, Midnapore 721 102, West Bengal, India
S. L. Maji
Affiliation:
Department of Applied Mathematics, Vidyasagar University, Midnapore 721 102, West Bengal, India
R. N. Jana
Affiliation:
Department of Applied Mathematics, Vidyasagar University, Midnapore 721 102, West Bengal, India
*
*Corresponding author (, [email protected])
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Abstract

The unsteady hydromagnetic flow due to torsional oscillations of a rotating disc in a viscous incompressible electrically conducting fluid which is also rotating is studied taking the effects of the Hall current and ion-slip into consideration. The governing equations are solved analytically. The results show that the inclusion of the Hall current and ion slip have important effects on the velocity distributions as well as shear stresses at the disc. The flow is characterized by two opposite circularly polarized waves, travelling with different velocities. It is found that there is a formation of two-deck boundary layers, thicknesses of which increase with increase in either Hall parameter or ion-slip parameter. The radial velocity increases with an increase in Hall parameter and the azimuthal velocity increases with an increase in either Hall parameter or ion-slip parameter. Further, it is found that the amplitude of the transverse shear stress at the disc decreases with an increase in either Hall parameter or ion-slip parameter.

Keywords

MHD flowHall currentIon-slip parameterFrequency parameter and torsional oscillations
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 2 , June 2013 , pp. 337 - 344
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013

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References

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