Eddy Formation in an Eccentric Annular Domain

Abstract
The slow motion of a viscous incompressible fluid in the space bounded by two long parallel non-concentric circular cylindrical solid surfaces is studied. The outer one is stationary while the inner one rotates steadily. Both analysis and experiment show that when the ratio of eccentricity to average gap width is sufficiently large an eddy is formed. In such case part of the fluid rotates around the inner surface. The rest rotates in the opposite direction around a line parallel to the axes. This phenomenon has an interesting analogy in the theory of plates' deflection.

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