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Steady Stokes flow in a trihedral corner

机译:稳定的斯托克斯流在三面角

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摘要

The flow in a trihedral corner formed by three pairwise perpendicular planes, induced either by uniform translation of one of the corner's sides or by uniform rotation of a side, is considered in the Stokes approximation. An analytical solution of the problem is constructed. Numerical study of streamline patterns confirms existence of the corner eddies near the quiet edge in the antisymmetric flows. If the wall rotates about a centre displaced from the vertex, the induced flow is essentially three-dimensional. In the antisymmetric velocity field, there appears a stagnation line composed of stagnation points of different types. Otherwise the three-dimensionality manifests itself in a non-closed spiral shape of the streamlines.
机译:在斯托克斯近似中考虑了由三个成对的垂直平面形成的三面角中的流动,该流动是由角的一个侧面的均匀平移或侧面的均匀旋转引起的。构建了问题的解析解决方案。流线型态的数值研究证实,在反对称流中,在安静边缘附近存在角涡。如果壁绕着从顶点移开的中心旋转,则感应流实质上是三维的。在反对称速度场中,出现一条由不同类型的停滞点组成的停滞线。否则,三维将以流线的非闭合螺旋形状显示出来。

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