Slip flow in a rectangular cavity is studied. Using slip eigenfunctions, an exact series solution is found for a lid sliding longitudinally. For a transversely sliding lid, the stream function for Stokes flow is determined by a new set of slip eigenfunctions and supplemented by point match on the boundary. It is found that slip has considerable effect on the flow properties. Analyses of the region very close to the corner of the velocity discontinuity show the stress singularity of no-slip flow can be eliminated by slip for both longitudinal flow and transverse flow, except when the latter corner is a right angle.

中文翻译：

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盖驱动的斯托克斯滑流在矩形腔中

研究了矩形腔中的滑流。使用滑动本征函数，找到了纵向滑动盖的精确序列解。对于横向滑动盖，斯托克斯流的流函数由一组新的滑动特征函数确定，并通过边界上的点匹配进行补充。发现滑移对流动性质具有相当大的影响。对非常靠近速度不连续角的区域的分析表明，对于纵向流和横向流，除了后一个角为直角时，都可以通过滑动消除无滑流的应力奇异性。