FLOW BETWEEN CONCENTRIC ROTATION CYLINDERS A NOTE ON THE NARROW GAP APPROXIMATION
BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
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Derivations of conditions under which steady flow between concentric rotating cylinders becomes unstable to perturbations of infinitesimal amplitude are often carried out within the framework of the narrow gap approximation in which the separation of the two cylinders is presumed to be much smaller than either radius. A narrow gap limit in which the ratio of the separation to a characteristic radius approaches zero is not uniquely defined, but rather the form of the resulting governing equations depends upon the manner in which the passage to the limit is made. A systematic survey of narrow gap limits may therefore be useful.
- Fluid Mechanics