微极性流体在上下正交移动的渗透平行圆盘间的流动

Flow of a Micropolar Fluid Between Two Orthogonally Moving Porous Disks

分析了上下正交运动的两平行圆盘间的非稳态的不可压缩的二维微极性流体的流动.应用von Krmn类型的一个相似变换,偏微分方程组(PDEs)被转化成一组耦合的非线性常微分方程(ODEs).应用同伦分析方法,得到方程的解析解,并且详细讨论了不同的物理参数,像膨胀率,渗透Reynolds数等,对流体的速度场的影响.

The unsteady, laminar, incompressible and two dimensional flow of a micropolar fluid between two orthogonally moving porous coaxial disks was considered. An extension of yon Karman＇ s similarity transformations was applied to reduce the governing partial differential equations （PDEs） to a set of non-linear coupled ordinary differential equations （ODEs） in dimensionless form. The analytical solutions were obtained by employing the homotopy analysis method. The effects of various physical parameters like the expansion ratio, the permeability Reynolds number on the velocity fields were discussed in detail.