Effect of Magnetohydrodynamic on Thin Films of Unsteady Micropolar Fluid through a Porous Medium

• 作者: Gamal M. Abdel-Rahman
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: UNSTEADY Flow MHD THIN Film Porous Medium MICROPOLAR Fluid
• 年，卷（期）: xdwlyw_2011,（11）
• 页码范围: 1290-1304
• 页数: 15页
• 分类号: O1

摘要

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.