微极性流体在上下正交移动的渗透平行圆盘间的流动

司新辉; 郑连存; 张欣欣; 司新毅

doi:10.3879/j.issn.1000-0887.2012.08.001

微极性流体在上下正交移动的渗透平行圆盘间的流动

doi: 10.3879/j.issn.1000-0887.2012.08.001

北京科技大学数理学院, 北京 100083;
北京科技大学机械工程学院, 北京 100083;

基金项目: 国家自然科学基金资助项目(50936003;50905013;51004013;51174028);中央高校基础研究基金资助项目(FRF-TP-12-108A)

详细信息

通讯作者:
司新辉(1978—),男,山东人,博士(联系人.Tel:+86-10-62332589; E-mail:sixinhui-ustb@126.com).

中图分类号: O175.8; O357.3
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- 文章访问数: 1748
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- 被引次数: 0
出版历程
- 收稿日期: 2011-11-21
- 修回日期: 2012-03-26
- 刊出日期: 2012-08-15

Flow of a Micropolar Fluid Between Two Orthogonally Moving Porous Disks

¹Department of Applied Mathematics, University of Science and Technology, Beijing 100083, P.R.China;²Department of Mechanical Engineering, University of Science and Technology, Beijing 100083, P.R.China;³College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, P.R.China

摘要

摘要: 分析了上下正交运动的两平行圆盘间的非稳态的不可压缩的二维微极性流体的流动．应用von Krmn类型的一个相似变换，偏微分方程组(PDEs)被转化成一组耦合的非线性常微分方程(ODEs)．应用同伦分析方法，得到方程的解析解，并且详细讨论了不同的物理参数，像膨胀率，渗透Reynolds数等，对流体的速度场的影响．
- 同伦分析方法 /
- 膨胀率 /
- 正交移动的渗透圆盘
Abstract: The unsteady, laminar, incompressible and two dimensional flow of a micropolar fluid between two orthogonally moving porous coaxial disks was considered. An extension of von Karman’s similarity transformations was applied to reduce the governing partial differential equations (PDEs) to a set of non-linear coupled ordinary differential equations (ODEs) in dimensionless form. The analytical solutions were obtained by employing the homotopy analysis method. The effects of various physical parameters like the expansion ratio, the permeability Reynolds number on the velocity fields were discussed in detail.
- homotopy analysis method /
- expansion ratio /
- orthogonally moving porous disks

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