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Analytic solution to the micropolar-fluid flow through a semi-porous channel with an expanding or contracting wall
Authors:Xin-hui Si  Lian-cun Zheng  Xin-xin Zhang  Ying Chao
Institution: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
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.
Keywords:homotopy analysis method  micropolar fluid  expanding or contracting wall  porous channel
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