An-Najah Staff

In this article we present some analytical and numerical methods for solving magnetohydrodynamic (MHD) flow past an impulsively started infinite horizontal flat plate in a rotating system. An exact solution based on Laplace transform has been presented. This method has shown to be very efficient in solving these types of problems. For the numerical handing of the problem we have employed the finite difference method. Numerical results have shown to be in a good agreement with the exact solution. Expressions for the primary and secondary velocity fields are obtained. The effects of M (Hartman number), Ω (rotation parameter) and m (Hall parameter) on the primary and secondary velocities have been studied and their profiles are shown graphically. 

This paper studies the unsteady MHD flow of an electrically conducting, incompressible viscous fluid through two parallel porous flat plates with the fluid is being injected into the flow region with constant velocity v0 and being sucked away in the same speed and it is subjected to a constant transverse magnetic field and the effect of Hall current. The governing partial differential equations are solved using Laplace transform technique. An implicit finite difference scheme has been employed to solve them numerically. The effects of M (Hartman number) and m (Hall parameter) on the primary velocity have been investigated and their profiles are shown graphically.

This paper gives very significant and up-to-date analytical and numerical results to the magnetohydrodynamic flow version of the classical Rayleigh problem including Hall effect. An exact solution of the MHD flow of incompressible, electrically conducting, viscous fluid past a uniformly accelerated and insulated infinite plate has been presented. Numerical values for the effects of the Hall parameter N and the Hartmann number M on the velocity components u and v are tabulated and their profiles are shown graphically. The numerical results show that the velocity component u increases with the increases of N and decreases with the increase of M, whereas, the velocity component v increases with the increase of both M and N. These numerical results have shown to be in a good agreement with the analytical solution.

This article is concerned with the formulation and analytical solution of equations for modeling a steady two-dimensional MHD flow of an electrically conducting viscous incompressible fluid in porous media in the presence of a transverse magnetic field. The governing equations, namely, Navier-Stokes equations and the Darcy-Lapwood-Brinkman model are employed for the flow through the porous media. The solutions obtained for the Riabouchinsky-type flows are then classified into different types.