Author(s)

Gamal M. Abdel-Rahman

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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.

Unsteady Flow, MHD, Thin Film, Porous Medium, Micropolar Fluid

G. Abdel-Rahman, "Effect of Magnetohydrodynamic on Thin Films of Unsteady Micropolar Fluid through a Porous Medium," Journal of Modern Physics, Vol. 2 No. 11, 2011, pp. 1290-1304. doi: 10.4236/jmp.2011.211160.