Analytic Solution for the Flow of a Micropolar Fluid Through a Semi-Porous Channel With an Expanding or Contracting Wall

SI Xin-hui; ZHENG Lian-cun; ZHANG Xin-xin; CHAO Ying

doi:10.3879/j.issn.1000-0887.2010.09.003

Volume 31 Issue 9

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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. doi: 10.3879/j.issn.1000-0887.2010.09.003

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Analytic Solution for the Flow of a Micropolar Fluid Through a Semi-Porous Channel With an Expanding or Contracting Wall

doi: 10.3879/j.issn.1000-0887.2010.09.003

1.
Applied Science School, University of Science & Technology Beijing, Beijing 100083, P. R. China;

Received Date: 1900-01-01
Rev Recd Date: 2010-07-12
Publish Date: 2010-09-15

Abstract

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.
- homotopy analysis method,
- micropolar fluid,
- expanding or contracting wall,
- porous channel

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References(29)

References

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