Time-Dependent MHD Couette Flow of a Rotating Fluid With Hall and Ion-Slip Currents

Basant K.Jha; Clement A.Apere

doi:10.3879/j.issn.1000-0887.2012.04.001

Volume 33 Issue 4

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Basant K.Jha, Clement A.Apere. Time-Dependent MHD Couette Flow of a Rotating Fluid With Hall and Ion-Slip Currents[J]. Applied Mathematics and Mechanics, 2012, 33(4): 379-389. doi: 10.3879/j.issn.1000-0887.2012.04.001

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Time-Dependent MHD Couette Flow of a Rotating Fluid With Hall and Ion-Slip Currents

doi: 10.3879/j.issn.1000-0887.2012.04.001

Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria

Received Date: 2011-06-06
Rev Recd Date: 2011-12-16
Publish Date: 2012-04-15

Abstract

Abstract

The unsteady MHD Couette flow of an electrically conducting fluid in a rotating system was investigated taking Hall and ion-slip currents into consideration. The derived fundamental equations on the assumption of small magnetic Reynolds number were solved analytically by employing the well known Laplace transform technique. A unified closed form expressions for the velocity and the skin friction for the two different cases of the magnetic field being fixed to either the fluid or to the moving plate were obtained. The effects of the various parameters of the problem on the velocity and the skin friction were discussed through graphs. The result obtained revealed that the primary and the secondary velocities increases with Hall current. An increase in the ion-slip also led to an increases in the primary velocity but decreases the secondary velocity. It has also been shown that the combined effect of the rotation, Hall and ion-slip parameters determines the contribution of the secondary motion in the fluid flow.
- MHD,
- Couette flow,
- rotating system,
- Hall and ion-slip currents,
- accelerated motion

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References(22)

References

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