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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (09): 1073-1080.doi: https://doi.org/10.1007/s10483-010-1343-6

• Articles • 上一篇    下一篇

Analytic solution to the micropolar-fluid flow through a semi-porous channel with an expanding or contracting wall

司新辉1 郑连存1 张欣欣2 晁莹3   

  1. 1. Applied Science School, University of Science and Technology Beijing, Beijing 100083, P. R. China;
    2. Mechanical Engineering School, University of Science and Technology Beijing, Beijing 100083, P. R. China;
    3. Research Institute of Chemical Defense, Beijing 102205, P. R. China
  • 收稿日期:2009-12-14 修回日期:2010-07-12 出版日期:2010-09-01 发布日期:2010-09-01

Analytic solution to the micropolar-fluid flow through a semi-porous channel with an expanding or contracting wall

SI Xin-Hui1, ZHENG Lian-Cun1, ZHANG Xin-Xin2, CHAO Ying3   

  1. 1. Applied Science School, University of Science and Technology Beijing, Beijing 100083, P. R. China;
    2. Mechanical Engineering School, University of Science and Technology Beijing, Beijing 100083, P. R. China;
    3. Research Institute of Chemical Defense, Beijing 102205, P. R. China
  • Received:2009-12-14 Revised:2010-07-12 Online:2010-09-01 Published:2010-09-01

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被引次数

11

摘要： The flow of a micropolar fluid in a semi-porous channel with an expanding or contracting wall is investigated. The governing equations are reduced to ordinary ones by using similar transformations. To get the analytic solution to the problem, the homotopy analysis method (HAM) is employed to obtain the expressions for velocity fields. Graphs are sketched and discussed for various parameters, especially the effect of the expansion ratio on velocity and micro-rotation fields.

Abstract: The flow of a micropolar fluid in a semi-porous channel with an expanding or contracting wall is investigated. The governing equations are reduced to ordinary ones by using similar transformations. To get the analytic solution to the problem, the homotopy analysis method (HAM) is employed to obtain the expressions for velocity fields. Graphs are sketched and discussed for various parameters, especially the effect of the expansion ratio on velocity and micro-rotation fields.

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