Unsteady Magnetohydrodynamic Couette-Poiseuille Flow within Porous Plates Filled with Porous Medium in the Presence of a Moving Magnetic Field with Hall and Ion-slip Effects

Abstract

A study on the effects of Hall current, ion-slip and permeability on unsteady Magnetohydrodynamic Couette-Poiseuille flow within porous plates filled with porous medium in the presence of a moving uniform transverse magnetic field which is fixed relative to the moving porous plate is carried out. Flow within the channel is generated due to accelerated movement of the lower plate of the channel along x-axis and by an applied constant pressure gradient acting along x-axis. An exact solution of the governing equations is found by Laplace transform method. Numerical values of analytical solution for fluid velocity and that of shear stress at the moving porous plate of the channel are depicted for various values of pertinent flow parameters. It is noticed from the numerical result that, for the pure fluid regime, suction tends to enhance fluid velocity in the primary flow direction whereas injection has reverse effect on it. For the small permeable regime, suction tends to enhance fluid velocity in the primary flow direction in the upper half of the channel whereas injection has reverse effect on it.

Influence of Dufour and thermal radiation on unsteady MHD Walter’s liquid model-B flow past an impulsively started infinite vertical plate embedded in a porous medium with chemical reaction, Hall and ion slip current

“…In order to solve Eqs. (18), (19) and (22) under the boundary conditions of (23), we assume that Substituting (25) in Eqs. (18), (19) and (22), we obtain the following differential equations:…”

“…Tusher Mollah et al [17] described influence of Hall and ion-slip current on unsteady MHD Bingham fluid model flow with suction velocity. Influence of Hall and ion-slip current on unsteady MHD Couette-Poiseuille flow with moving magnetic field has been considered by Sigh et al [18]. Satya Narayana et al [19] investigated the influence of thermal and species diffusion on MHD free convective flow past a permeable plate in the presence of Hall current.…”

Combined effects of Hall and ion-slip current on MHD free convection flow in a vertical micro-channel

“…Naroua et al [31] presented an analysis on time-dependent flow of partially ionized gas in the presence of Hall and ion-slip current in a rotating channel with heat source. Singh et al [32] studied combined effect of Hall and ion-slip current on unsteady hydromagnetic Couette-Poiseuille flow in the presence of a moving magnetic field. They found out that both primary and secondary component of fluid velocity decreases with the increase in ion-slip parameter.…”

Natural Convection MHD Radiative Flow on a Sphere Through Porous Medium Considering Ohmic Dissipation

“…In this study, they presented isothermal and streamlines at different aspect ratios waviness, and Darcy-Rayleigh numbers. The influence of Hall current, ion slip and permeability on unsteady MHD Coutte-Poiseuille flow in a porous medium in the presence of moving transverse magnetic field was studied by Singh et al [4]. They reported that in the case of pure fluid regime, suction tends to enhance fluid velocity in both the primary and secondary flow directions while injunction diminishes it.…”