Abstract
In this paper, we make an initial value investigation of the unsteady flow of incompressible viscous fluid between two rigid non-conducting rotating parallel plates bounded by a porous medium under the influence of a uniform magnetic field of strength H0 inclined at an angle of inclination α with normal to the boundaries taking hall current into account. The perturbations are created by a constant pressure gradient along the plates in addition to the non-torsional oscillations of the upper plate while the lower plate is at rest. The flow in the porous medium is governed by the Brinkman’s equations. The exact solution of the velocity in the porous medium consists of steady state and transient state. The time required for the transient state to decay is evaluated in detail and the ultimate quasi-steady state solution has been derived analytically. Its behaviour is computationally discussed with reference to the various governing parameters. The shear stresses on the boundaries are also obtained analytically and their behaviour is computationally discussed.
Highlights
The rotating flow between parallel plates is a classical problem that has important applications in magneto hydroHow to cite this paper: Sulochana, P. (2014) Hall Effects on Unsteady MHD Three Dimensional Flow through a Porous Medium in a Rotating Parallel Plate Channel with Effect of Inclined Magnetic Field
A series of investigations have been made by (Raptis et al, 1981 [1]; Raptis et al, 1981 [2], Raptis et al, 1982 [3]) into the steady of two-dimensional flow past a vertical wall for constant permeability of the porous medium. (Singh and Verma, 1995 [4]) analyzed an oscillatory three-dimensional flow through a porous medium when the permeability varied in space periodically. (Singh et al, 2000 [5]) investigated further a three-dimensional fluctuating flow and heat transfer through a porous medium when the permeability varied both in time and space
There are various other industrial applications of flows of electrically conducting fluids in the fields of geothermal systems, nuclear reactors, filtration, etc. where the conducting fluid flows through a porous medium which rotates about an axis
Summary
How to cite this paper: Sulochana, P. (2014) Hall Effects on Unsteady MHD Three Dimensional Flow through a Porous Medium in a Rotating Parallel Plate Channel with Effect of Inclined Magnetic Field. Rao and Krishna (1981 [22]) studied Hall effects on the non-torsionally generated unsteady hydro magnetic flow in semi-infinite expansion of an electrically conducting viscous rotating fluid. V. Suneetha (2009 [24]) discussed Hall effects on unsteady flow of incompressible viscous fluid between two rigid non-conducting rotating plates through porous medium under the influence of a uniform transverse magnetic field. Hall effects on an unsteady MHD flow of a viscous incompressible electrically conducting fluid in a horizontal porous channel with variable pressure gradient in a rotating system have been studied by Sanatan Das and Rabindranath Jana (2013 [26]). We make an initial value investigation of the unsteady flow of incompressible viscous fluid between two rigid non-conducting rotating parallel plates bounded by a porous medium taking hall current into account
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