Hydromagnetic flow through uniform channel bounded by porous media

Abstract

The combined effects of the magnetic field, permeable walls, Darcy velocity, and slip parameter on the steady flow of a fluid in a channel of uniform width are studied. The fluid flowing in the channel is assumed to be homogeneous, incompressible, and Newtonian. Analytical solutions are constructed for the governing equations using Beavers-Joseph slip boundary conditions. Effects of the magnetic field, permeability, Darcy velocity, and slip parameter on the axial velocity, slip velocity, and shear stress are discussed in detail. It is shown that the Hartmann number, Darcy velocity, porous parameter, and slip parameter play a vital role in altering the flow and in turn the shear stress.

Hydromagnetic Blood Flow through a Uniform Channel with Permeable Walls Covered by Porous Media of Finite Thickness

“…Axial velocity for p = 10 2 and different values of M In many biological processes the thickness of the porous layer is comparable to that of fluid layer.However in a few earlier references, (Chandrasekhara et al 1980;Shivakumar et al 1986;Mankinde and Osalusi 2006) the authors had analyzed blood flow in the case of straight channel covered by porous media with infinite thickness, by stating that, the results of the problem may also be useful to improved understanding and management of human health. Hence, the results of our present study involving porous media of finite thickness (BJR condition) have been compared with those of earlier works with porous media of infinite thickness (BJ condition), especially Ramakrishnan and Shailendhra (2011). Indeed, we make such a comparison through Figs.…”

“…where Equations (23) to (25) are already reported in our earlier work Ramakrishnan and Shailendhra (2011) and are provided here only for the sake of comparison.…”

“…The hydromagnetic steady flow of a viscous conducting fluid in a channel with slip at the permeable boundaries has been investigated by Makinde and Osalusi (2006). Most recently, Ramakrishnan and Shailendhra (2011) analyzed the combined effects of Hartmann number and porous parameter on the steady flow in a channel of uniform width covered by porous media using BJ-slip condition.…”