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A note on plane Stokes flow past a shear free impermeable cylinder

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The slow steady two-dimensional motion of a viscous incompressible fluid in the unbounded region exterior to a shear free circular cylinder which is impermeable is examined. It is shown that the above problem requires a certain consistency condition for the existence of a solution. In addition, a circle theorem for the biharmonic equation is presented, for the above plane Stokes flow. Some examples are also given.

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Usha, R., Hemalatha, K. A note on plane Stokes flow past a shear free impermeable cylinder. Z. angew. Math. Phys. 44, 73–84 (1993).

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  • Mathematical Method
  • Circular Cylinder
  • Consistency Condition
  • Incompressible Fluid
  • Stoke Flow