Asymmetric Channel Divider in Stokes Flow
Asymmetric Channel Divider in Stokes Flow
复制标题
斯托克斯流中的不对称通道分配器
DOI：
10.1137/070703211
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
S. G. L. Smith
中科院分区：
文献类型：
--
作者：
I. Abrahams;A. Davis;S. G. L. Smith
本文考察了斯托克斯流进入分裂通道的经典问题，与以前的文献相比，分裂屏障不对称地放置在移动的平行通道壁上。边值问题被简化为一类没有精确解的矩阵形式的Wiener-Hopf方程。一个显式近似解，通常精确到任何指定的程度，是由最近的方法，采用帕德近似。数值结果显示了由于移动壁面或下游压力梯度的各种组合而引起的流动。
This article examines the classic problem of Stokes flow into a divided channel with, in contrast to previous literature, the divider barrier asymmetrically placed with respect to the moving, parallel channel walls. The boundary value problem is reduced to a Wiener–Hopf equation that is of matrix form and of a class for which no exact solution is known. An explicit approximate solution, in general accurate to any specified degree, is obtained by a recent method which employs Pade approximants. Numerical results exhibit the flows due to moving walls or various combinations of downstream pressure gradients.