HALL EFFECTS ON UNSTEADY FLOW DUE TO NON-COAXIALLY ROTATING DISK AND A FLUID AT INFINITY |
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Authors: | T Hayat R Ellahi S Asghar |
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Affiliation: |
a Department of Mathematics, Quaid-i-Azam University Islamabad, Pakistan
b Department of Mathematics, Faculty of Basic and Applied Sciences, IIU, Islamabad, Pakistan
c COMSATS Institute of Information Technology, Islamabad, Pakistan |
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Abstract: | An investigation is made on the unsteady magnetohydrodynamic (MHD) flow caused by the non-coaxial rotation of a disk and a fluid at infinity being permeated by a transverse magnetic field. The disk is porous and nonconducting and executes oscillations in its own plane. The Laplace transform method is used to obtain the exact solution of the velocity field. The structure of the steady and unsteady flow fields is investigated. It is shown that the ultimate steady-state blowing solution is established in the presence of Hall current also for resonant frequency, which was not possible in the hydrodynamic case. The combined effects of Hall current, rotation, and suction or blowing are examined. The physical significance of mathematical results is given with various limiting cases. |
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Keywords: | Exact solution Hall effect Oscillating porous disk Resonance Unsteady flow |
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