Three-Dimensional Moffatt-Type Eddies Due to a Stokeslet in a Corner

  • Sano Osamu
    Faculty of General Education, Tokyo University of Agriculture and Technology
  • Hashimoto Hidenori
    Department of Physics, Faculty of Science, University of Tokyo

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タイトル別名
  • Three Dimensional Moffatt Type Eddies D

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A theoretical study is made of the purely three-dimensional steady Stokes flow induced by a point force in a region bounded by two plane walls intersecting at an angle 2α. If 2α is less than 146.3°, an infinite sequence of deformed eddy rings surrounding the direction of the stokeslet appears near or far from the corner for the special case when the point force is applied perpendicularly to the bisector of the wedge. The intensities and sizes of adjacent eddies decrease in geometric progression at the same common ratios as those in the two-dimensional case described by Moffatt. The streamlines within the plane which is perpendicular to the intersection and which contains the stokeslet are not the shame as the two-dimensional ones, and the lines through the center of each eddy rings form a family of eccentric circles on the bisector.

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