Unsteady plane MHD boundary layer flow of a fluid of variable electrical conductivity

Abstract

This paper is devoted to the analysis of unsteady plane laminar magnetohydrodynamic boundary layer flow of incompressible and variable electrical conductivity fluid. The present magnetic field is homogeneous and perpendicular to the body surface. Outer electric filed is neglected and magnetic Reynolds number is significantly lower then one i. e. considered problem is in inductionless approximation. Free stream velocity is an arbitrary differentiable function. Fluid electrical conductivity is decreasing function of velocity ratio. In order to solve the described problem multi-parametric (generalized similarity) method is used and so-called universal equations are obtained. Obtained universal equations are solved numerically in appropriate approximation and a part of obtained results is given in the form of figures and corresponding conclusions.past an arbitrary shape surface has attracted the interest of many researchers in view of its important applications in many engineering problems.Recently the problem of magneto-hydrodynamic (MHD) flow over surfaces has become more important due to the possibility of applications in areas like nuclear fusion, chemical engineering, medicine, and high-speed, noiseless printing. Problem of MHD flow in the vicinity of plate has been studied intensively by a number of investigators [3][4][5][6][7]. Most of previous investigations were concerned with studies of the steady flow of fluid whose electrical conductivity is constant.The subject of the present research is to give an analytic investigation to the problem of unsteady laminar MHD boundary layer flow of a viscous incompressible fluid. The external magnetic field is homogeneous and perpendicular to the body. The fluid which forms the boundary layer is incompressible and its electrical conductivity is variable and can be assumed in the following form:

Effect of Permeabilityand Heat Generation in MHD Flow Along a Vertical Isothermal Porous Plate Under Variable Electrical Conductivity.

“…Recently, Gorla et al [8], Alam M. S [9], Chain, T. C [10], Hazen A. Allia [11] and many others have studied MHD flow with heat generation problem with various geometries. Recently, Boracic et al [12], has studied natural convection MHD flow with variable electrical conductivity and heat generation along an isothermal plate. More recently, Sharma et al [13] have studied steady MHD natural convection flow with variable electrical conductivity and heat generation along an isothermal vertical plate.…”

“…We consider steady laminar natural convection flow of a viscous incompressible fluid over a vertical nonconducting plate in a medium. It is considered that the plate is porous, and at constant temperature that generates an internal volumetric heat within the plate that affect fluid flow while the fluid electrical conductivity varies inversely with temperature [12]. The x-axis is taken along the plate and y-axis is normal to the plate.…”