| 半渗透涨缩管道内微极性流动解析求解 |
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| 引用本文： | 司新辉,郑连存,张欣欣,晁莹.半渗透涨缩管道内微极性流动解析求解[J].应用数学和力学,2010,31(9):1027-1035. |
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| 作者姓名： | 司新辉 郑连存 张欣欣 晁莹 |
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| 作者单位： | 北京科技大学 应用科学学院,北京 100083;2.北京科技大学 机械学院,北京 100083;3.中国人民解放军防化研究院,北京 102205 |
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| 基金项目： | 国家自然科学基金，先进金属和材料国家重点实验室资助项目 |
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| 摘 要： | 分析了半渗透涨缩管道内的微极性流体的流动．应用合适的相似变换，将控制方程转化为常微分方程组．为了得到该问题的解析解，应用同伦分析方法得到该问题的速度表达式．并且用图形分析了各个不同参数，特别是膨胀系数对速度场和微旋转角速度的影响．
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| 关 键 词： | 同伦分析方法 微极性流体 涨缩壁面 多孔管道 |
| 收稿时间： | 1900-01-01 |
Analytic Solution for the Flow of a Micropolar Fluid Through a Semi-Porous Channel With an Expanding or Contracting Wall |
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| SI Xin-hui,ZHENG Lian-cun,ZHANG Xin-xin,CHAO Ying.Analytic Solution for the Flow of a Micropolar Fluid Through a Semi-Porous Channel With an Expanding or Contracting Wall[J].Applied Mathematics and Mechanics,2010,31(9):1027-1035. |
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| Authors: | SI Xin-hui ZHENG Lian-cun ZHANG Xin-xin CHAO Ying |
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| Institution: | Applied Science School, University of Science & Technology Beijing, Beijing 100083, P. R. China; |
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| Abstract: | The flow of a micropolar fluid in a semi-porous channel with an expanding or contracting wall was investigated.The governing equations were reduced to ordinary ones by using similar transformations.In order to get the analytic solution of the problem,homotopy analysis method(HAM) was employed to obtain the expressions for velocity fields.Graphs are sketched and discussed for the effects of various parameters,especially the expansion ratio,on velocity and micro-rotation fields in detail. |
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| Keywords: | homotopy analysis method micropolar fluid expanding or contracting wall porous channel |
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