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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (2): 151-158.doi: https://doi.org/10.1007/s10483-010-0203-z

• Articles • 上一篇    下一篇

Perturbation solution to unsteady flow in a porous channel with expanding or contracting walls in the presence of a transverse magnetic field

司新辉1，郑连存1，张欣欣2，晁莹3   

  1. 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
  • 收稿日期:2009-05-20 修回日期:2009-11-30 出版日期:2010-02-01 发布日期:2010-02-01

Perturbation solution to unsteady flow in a porous channel with expanding or contracting walls in the presence of a transverse magnetic field

SI Xin-Hui1, ZHENG Lian-Cun1, ZHANG Xin-Xin2, CHAO Ying3   

  1. 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
  • Received:2009-05-20 Revised:2009-11-30 Online:2010-02-01 Published:2010-02-01

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摘要： 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.

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.

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