TITLE:
Effect of Magnetohydrodynamic on Thin Films of Unsteady Micropolar Fluid through a Porous Medium
AUTHORS:
Gamal M. Abdel-Rahman
KEYWORDS:
Unsteady Flow, MHD, Thin Film, Porous Medium, Micropolar Fluid
JOURNAL NAME:
Journal of Modern Physics,
Vol.2 No.11,
November
23,
2011
ABSTRACT: In This paper, we deal with the study of the effect of magnetohydrodynamic on thin films of unsteady micropolar fluid through a porous medium. These Thin films are considered for three different geometries. The governing continuity, momentum and angular momentum equations are converted into a system of non-linear ordinary differential equations by means of similarity transformation. The resulting system of coupled non-linear ordinary differential equations is solved numerically by using shooting method. A representative set of numerical results in the three thin film flow problems for velocity and micro-rotation profiles are discussed and presented graphically. A comprehensive parametric study is carried out to show the effects of the micropolar fluid parameters, magnetic field parameter, permeability parameter and etc. on the obtained solutions.