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Perturbation solution to unsteady flow in a porous channel with expanding or contracting walls in the presence of a transverse magnetic field
Authors:Xin-hui Si  Lian-cun Zheng  Xin-xin Zhang  Ying Chao
Institution:1. School of Applied Science,University of Science and Technology Beijing,Beijing 100083,P.R.China
2. School of Mechanical Engineering,University of Science and Technology Beijing,Beijing 100083,P.R.China
3. Research Institute of Chemical Defense,Beijing 102205,P.R.China
Abstract:An incompressible flow in a porous channel with expanding or contacting walls in the presence of a transverse magnetic field is considered. Using similarity transformations, the governing equations are reduced to the nonlinear ordinary differential equations. The exact similar solutions for the different cases of the expansion ratio and the Hartmann number are obtained with a singular perturbation method, and the associated behavior is discussed in detail.
Keywords:porous channel  transverse magnetic field  expanding or contracting walls
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