The Effect of Suction and Injection on MHD Flow Between Two Porous Concentric Cylinders Filled with Porous Medium

Abstract

This Paper deals wit the effects of suction (injection) on magnetohydrodynamic (MHD) steady flow of a viscous and electrically conducting fluid in an annular porous region between two concentric cylinders. The inner cylinder is rotating with uniform angular velocity and the outer one is fixed. The two cylinders are porous with uniform permeability. It is assumed that the suction rate at the inner cylinder is equal to the injection rate at the outer cylinder. A uniform axial magnetic field was applied perpendicular to the flow direction. The flow resistance presented by the porous medium is governed by the Darcy law. By using similarity transformation, the governing partial differential equations have been transformed to a system of nonlinear ordinary differential equations. The solution of the obtained system in its general form has been obtained. Analytical expression for velocity field is obtained in terms of Bessel function of first and second kind. The effects of various parameters such as susction (injection), magnetic and permeability parameters on the flow are discussed and the obtained results are presented graphically. The obtained figures show that, the velocity distribution increased with the increase of permeability parameter of the the porous medium and with suction process. On the other hand, the velocity distribution decreased with the increase of magnetic parameter and with injection parameter.

Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions

“…Velocity and heat transfer phenomena for micropolar MHD flow over a vertically moving plate immersed in porous media were interpreted by Kim 14 . The influence of heat injection and suction on flow under the effect of an imposed magnetic field between two concentric porous cylinders was reported by Hamza 15 .…”

The Effects of Suction/Injection and Chemical Reaction on The Flow of Mass Transfer of A Micro Polar Fluid Past A Continuously Moving Plate in the Presence of Magnetic Field.

“…The set of ordinary differential equations (8) -(10) with boundary condition (11) have been solved using finite difference method with Sc, Fw, γ, K, m, G as prescribed parameters.…”

“…Many others [9][10][11][12][13][14] studied the effect of suction /injection on the flow of a micro polar fluid past a continuously moving plate in the presence of radiation. In the present study we have analyzed the problem of the effect of the chemical reaction, suction/injection on a micro polar fluid past a continuously moving plate in the presence of uniform magnetic field.…”

Numerical solution of MHD channel flow in a porous medium with uniform suction and injection in the presence of an inclined magnetic field

“…Singh and Sapna [2] investigated the effect of injection/suction on the flow of electrically conducting fluid through a porous channel filled with porous material considering effect of heat radiation, heat source and chemical reaction into consideration. Hamza [3] studied the effects of suction and injection on steady MHD flow of a viscous and electrically conducting fluid in an annular porous region between two concentric cylinders. Srivastava and Deo [4] considered the Poiseuille and Couette flow of an electrically conducting fluid through a porous medium of variable permeability under the transverse magnetic field.…”