Flow of micropolar fluid between two orthogonally moving porous disks

被引：5
|
作者：
Si, Xin-hui [1 ]
Zheng, Lian-cun [1 ]
Zhang, Xin-xin [2 ]
Si, Xin-yi [3 ]
机构：
[1] Univ Sci & Technol Beijing, Dept Appl Math, Beijing 100083, Peoples R China
[2] Univ Sci & Technol Beijing, Dept Mech Engn, Beijing 100083, Peoples R China
[3] Hohai Univ, Coll Water Conservancy & Hydropower Engn, Nanjing 210098, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2012年 / 33卷 / 08期
基金：
中国国家自然科学基金;
关键词：
homotopy analysis method (HAM); expansion ratio; orthogonally moving porous disk; 2-DIMENSIONAL VISCOUS-FLOW; HOMOTOPY ANALYSIS METHOD; BOUNDARY-LAYER-FLOW; STEADY FLOW; EQUATIONS; LAMINAR; CHANNEL; SUCTION;
D O I：
10.1007/s10483-012-1598-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The unsteady, laminar, incompressible, and two-dimensional flow of a micropolar fluid between two orthogonally moving porous coaxial disks is considered. The extension of von Karman's similarity transformations is used to reduce the governing partial differential equations (PDEs) to a set of non-linear coupled ordinary differential equations (ODEs) in the dimensionless form. The analytical solutions are obtained by employing the homotopy analysis method (HAM). The effects of various physical parameters such as the expansion ratio and the permeability Reynolds number on the velocity fields are discussed in detail.
引用
收藏
页码：963 / 974
页数：12
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