Numerical investigations of asymmetric flow of a micropolar fluid between two porous disks

作     者：Muhammad Ashraf M.Anwar Kamal K.S.Syed 

作者机构：Centre for Advanced Studies in Pure and Applied MathematicsBahauddin Zakariya University Multan Pakistan Department of Mathematics King Saud University RiyadhSaudi Arabia 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2009年第25卷第6期

页      面：787-794页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 

主　　题：Porous disks . Asymmetric flow .Micropolar fluid . Finite differences.Viscous layer 

摘      要：Numerical solution is presented for the two- dimensional flow of a micropolar fluid between two porous coaxial disks of different permeability for a range of Reynolds number Re （-300≤ Re 〈 0） and permeability parameter A （1.0≤A ≤2.0）. The main flow is superimposed by the injection at the surfaces of the two disks. Von Karman＇s similarity transformations are used to reduce the governing equations of motion to a set of non-linear coupled ordinary differential equations （ODEs） in dimensionless form. An algorithm based on the finite difference method is employed to solve these ODEs and Richardson＇s extrapolation is used to obtain higher order accuracy. The results indicate that the parameters Re and A have a strong influence on the velocity and microrotation profiles, shear stresses at the disks and the position of the viscous/shear layer. The micropolar material constants cl, c2, c3 have profound effect on microrotation as compared to their effect on streamwise and axial velocity profiles. The results of micropolar fluids are compared with the results for Newtonian fluids.