Perturbation Solution for Unsteady Flow in a Porous Channel With Expanding or Contracting Walls in the Presence of a Transverse Magnetic Field

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

doi:10.3879/j.issn.1000-0887.2010.02.003

Volume 31 Issue 2

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SI Xin-hui, ZHENG Lian-cun, ZHANG Xin-xin, CHAO Ying. Perturbation Solution for Unsteady Flow in a Porous Channel With Expanding or Contracting Walls in the Presence of a Transverse Magnetic Field[J]. Applied Mathematics and Mechanics, 2010, 31(2): 143-149. doi: 10.3879/j.issn.1000-0887.2010.02.003

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Perturbation Solution for Unsteady Flow in a Porous Channel With Expanding or Contracting Walls in the Presence of a Transverse Magnetic Field

doi: 10.3879/j.issn.1000-0887.2010.02.003

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

Received Date: 1900-01-01
Rev Recd Date: 2009-11-30
Publish Date: 2010-02-15

Abstract

Abstract

An incom pressible flow in a porous channel with expanding or contacting walls in the presence of a transverse magnetic field was considered.Using similarity transform ations,the governing equations were reduced to nonlinear ordinary differential equations.The exact similarity solutions for values of parameters,expansion ratio and Hartm annn number were obtained by singular perturbation method,and the associated be haviorwas discussed in detail.
- porous channel,
- tran sversem agnetic field,
- expanding or contracting walls