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| 微极性流体在上下正交移动的渗透平行圆盘间的流动 | |
| 引用本文： | 司新辉,郑连存,张欣欣,司新毅.微极性流体在上下正交移动的渗透平行圆盘间的流动[J].应用数学和力学,2012,33(8):907-918. |
| 作者姓名： | 司新辉 郑连存 张欣欣 司新毅 |
| 作者单位： | 1. 北京科技大学数理学院,北京,100083 2. 北京科技大学机械工程学院,北京,100083 3. 河海大学水利水电工程学院,南京,210098 |
| 基金项目： | 国家自然科学基金，北京科技大学工程研究院研究基金，中央高校基础研究基金 |
| 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 Krmn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. |
| 关 键 词： | 同伦分析方法 膨胀率 正交移动的渗透圆盘 |
Flow of a Micropolar Fluid Between Two Orthogonally Moving Porous Disks |
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| SI Xin-hui , ZHENG Lian-cun , ZHANG Xin-xin , SI Xin-yi.Flow of a Micropolar Fluid Between Two Orthogonally Moving Porous Disks[J].Applied Mathematics and Mechanics,2012,33(8):907-918. | |
| Authors: | SI Xin-hui ZHENG Lian-cun ZHANG Xin-xin SI Xin-yi |
| Institution: | 1.Department of Applied Mathematics,University of Science and Technology,Beijing 100083,P.R.China;2.Department of Mechanical Engineering,University of Science and Technology,Beijing 100083,P.R.China;3.College of Water Conservancy and Hydropower Engineering,Hohai University,Nanjing 210098,P.R.China) |
| 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 Krmn’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. |
| Keywords: | homotopy analysis method expansion ratio orthogonally moving porous disks |
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