Some asymmetric Stokes-flow problems. (English) Zbl 0646.76039
Solutions are given to a number of asymmetric Stokes-flow problems which involve the slow motion of a fluid in the presence of a rigid plane containing a circular hole. The particular instances of motion generated by a linear shear flow along the plane and by a Stokeslet, placed on the axis of symmetry of the hole and oriented perpendicular to this axis, are examined in detail. The paper concludes with a solution to the shear-flow problem when the circular hole is replaced by one of elliptical geometry.
Keywords:
asymmetric Stokes-flow problems; rigid plane containing a circular hole; linear shear flow; Stokeslet; shear-flow problemReferences:
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