Perturbation Solution for Unsteady Flow in a Porous Channel With Expanding or Contracting Walls in the Presence of a Transverse Magnetic Field
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摘要: 分析了磁场力作用下胀缩可渗透管道中的不可压缩流动.应用相似变换,控制方程被转换成非线性常微分方程,得到不同的膨胀率和Hartmann数下的奇异摄动解,并对相关的流动特征进行了详细的分析.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.
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