Steady Stokes flow in a trihedral corner
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.
KeywordsBottom Wall Stoke Flow Stokes Problem Uniform Rotation Stagnation Line
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