Abstract

The slow motion of a viscous incompressible fluid in the space bounded by two long parallel eccentric circular cylinders is studied. The outer one is stationary while the inner one is rotating steadily. Approximate solutions of the Navier-Stokes equations are obtained for the two dimensional flow. If the centers of cylinders approach each other, these solutions may coincide with a stream function between concentric rotating cylinders. Also, if the gap between the cylinders is small, they should coincide with the Reynolds approximate solutions. Authors' theoretical solutions are confirmed experimentally when rotating Reynolds number is less than 7.

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