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

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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

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.

2010 MSC Number: 

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