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2 International Journal of Applied Mechanics and Engineering

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Unsteady MHD Couette flow through a porous medium in a rotating system

Kumar N., Gupta S.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 4

1037-1049

An unsteady hydromagnetic Couette flow of a viscous incompressible fluid through a porous medium overcrowded between parallel porous non-conducting plates, rotating with a uniform angular velocity about an axis normal to the plates is considered. The flow is generated by the motion of the upper plate. The fluid and plates rotate in unison with the same angular velocity. An exact solution of governing equations is obtained by using the Laplace transform. Solutions for velocity distributions as well as the coefficient of skin-friction are obtained and their profiles for various values of physical parameters are shown through graphs.

Hall effects on unsteady hydromagnetic flow in a rotating system with oscillating pressure gradient

Ghosh S. K., Pop I.

International Journal of Applied Mechanics and Engineering

2003

Vol. 8, no 1

43-56

The Hall effects on unsteady MHD plasma behaviour of a rotating environment with oscillating pressure gradient in the presence of a transverse magnetic field have been studied. The solution in a dimensionless form contains five pertinent flow parameters, viz., 'alpha'm, E, P, 'omega' and m are, respectively, the magnetic interaction parameter, the Ekman number, the magnetic Prandtl number, the inertial frequency and the Hall current parameter. A new approach is based on the plasma behaviour in the electromagnetic field in a rotating environment which corresponds to inertial frequency over the oscillating pressure gradient. Eventually, the dominance of inertial frequency is experienced by the mechanism; the whole system stops due to the absence of inertial frequency of a rotating environment.