Flow of a Micropolar Fluid Between Two Orthogonally Moving Porous Disks

SI Xin-hui; ZHENG Lian-cun; ZHANG Xin-xin; SI Xin-yi

doi:10.3879/j.issn.1000-0887.2012.08.001

Volume 33 Issue 8

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SI Xin-hui, ZHENG Lian-cun, ZHANG Xin-xin, SI Xin-yi. Flow of a Micropolar Fluid Between Two Orthogonally Moving Porous Disks[J]. Applied Mathematics and Mechanics, 2012, 33(8): 907-918. doi: 10.3879/j.issn.1000-0887.2012.08.001

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Flow of a Micropolar Fluid Between Two Orthogonally Moving Porous Disks

doi: 10.3879/j.issn.1000-0887.2012.08.001

¹Department of Applied Mathematics, University of Science and Technology, Beijing 100083, P.R.China;²Department of Mechanical Engineering, University of Science and Technology, Beijing 100083, P.R.China;³College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, P.R.China

Received Date: 2011-11-21
Rev Recd Date: 2012-03-26
Publish Date: 2012-08-15

Abstract

Abstract

The unsteady, laminar, incompressible and two dimensional flow of a micropolar fluid between two orthogonally moving porous coaxial disks was considered. An extension of von Karman’s similarity transformations was applied to reduce the governing partial differential equations (PDEs) to a set of non-linear coupled ordinary differential equations (ODEs) in dimensionless form. The analytical solutions were obtained by employing the homotopy analysis method. The effects of various physical parameters like the expansion ratio, the permeability Reynolds number on the velocity fields were discussed in detail.
- homotopy analysis method,
- expansion ratio,
- orthogonally moving porous disks

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References(38)

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