Effects of Hall Current and Rotation on Unsteady Hydromagnetic Couette Flow Within a Porous Channel

Abstract

Unsteady hydromagnetic Couette flow of a viscous, incompressible and electrically conducting fluid between two parallel porous plates taking Hall current into account in a rotating system is studied. Fluid flow within the channel is induced due to impulsive movement of the lower plate of the channel and is permeated by a uniform transverse magnetic field which is fixed relative to the moving plate. Solution of the governing equations is obtained by Laplace transform technique. The expression for the shear stress at the moving plate due to primary and secondary flows is also derived. Asymptotic behavior of the solution valid for small and large values of time t is analyzed to gain some physical insight into the flow pattern. Numerical values of primary and secondary velocities and that of shear stress at the moving plate due to primary and secondary flows are displayed graphically for various values of Hall current parameter m, rotation parameter K2, magnetic parameter M2, suction/injection parameter S and time t.

Numerical Solution of Unsteady Hydromagnetic Couette Flow in a Rotating System Bounded by Porous Plates with Hall Effects

“…In recent years, the study of Couette flow in a rotating system enhances an interest to the researchers due to its applications in secular variation of earth's magnetic field, the internal rotation rate of sun, the structure of rotating magnetic stars, the planetary and solar dynamo problems, rotating hydromagnetic generators, vortex type MHD power generators and other centrifugal machines. Taking into account these facts, unsteady hydromagnetic Couette flow of a viscous incompressible electrically conducting fluid in a rotating system is investigated by Seth et al [2,3,4,5], Chandran et al [6], Hayat et al [7], Das et al [8], Jana et al [9], Guria et al [10] and Das et al [11], under various aspects of the problem.…”

“…Hall current on the fluid flow have many applications in MHD power generation, nuclear power reactors, underground energy storage systems, and in several areas of astrophysical and geophysical interest. Keeping in view of this fact, Jana and Datta [13], Mandal et al [14], Ghosh and Pop [15], Hayat et al [16], Guchhait et al [17], Ghosh [18], Reddy and Bathaiah [19], Das et al [20], Chauhan and Agrawal [21], Seth et al [22,23] and Harisingh Naik et al [24] studied the effects of Hall current on MHD Couette flow of a viscous incompressible electrically conducting fluid in a rotating system considering different aspects of the problem. Hossain [25] studied unsteady hydromagnetic free convection flow near an infinite vertical porous plate with the effect of Hall current.…”

“…Taking into account this fact, Muhuri [26], Seth et al [4,5,23], Guchhait [17], Reddy and Bathaiah [19], Harisingh Naik et al [24] and Hossain [25] studied MHD Couette flow of electrically conducting fluid bounded by porous plates under different conditions, in rotating/ non-rotating system.…”

Magnetohydrodynamic (MHD) mixed convective periodic flow through porous medium in a rotating channel

“…Philip et al 10 have considered MHD rotating heat and mass transfer free convective flow past an exponentially accelerated isothermal plate with fluctuating mass diffusion. Seth et al [11][12][13] have studied the effects of Hall current and rotation on unsteady MHD Couette flow in the presence of an inclined magnetic field. Singh and Kumar 14 have studied the combined effects of Hall current and rotation on free convection MHD flow in a porous channel.…”

Hall Effects on Unsteady Rotating MHD Flow Through Porous Channel with Variable Pressure Gradient

“…Ghara et al [24] have studied the effects of Hall currents and ion-slip on unsteady MHD Couette flow. Effects of Hall currents and rotation on unsteady MHD Couette flow in the presence of an inclined magnetic field have been studied by Seth et al [25]. Chauhan and Agrawal [26] have studied the Hall effects on an MHD Couette flow in a channel partially filled with a porous medium in a rotating system.…”