Analytic Solution for the Flow of a Micropolar Fluid Through a Semi-Porous Channel With an Expanding or Contracting Wall
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摘要: 分析了半渗透涨缩管道内的微极性流体的流动.应用合适的相似变换,将控制方程转化为常微分方程组.为了得到该问题的解析解,应用同伦分析方法得到该问题的速度表达式.并且用图形分析了各个不同参数,特别是膨胀系数对速度场和微旋转角速度的影响.Abstract: The flow of a micropolar fluid in a semi-porous channel with an expanding or contracting wall was investigated.The governing equations were reduced to ordinary ones by using similar transformations. In order to get the analytic solution of the problem,homotopy analysis method(HAM)was employed to obtain the expressions for velocity fields.Graphs are sketched and discussed for the effects of various parameters,especially the expansion ratio,on velocity and micro-rotation fields in detail.
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