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The stability of a viscous fluid between two concentric rotating cylinders to nonrotationally symmetric disturbances is investigated. It is assumed that the cylinders are rotating in the same direction and that the spacing between the cylinders is small. It is found that the critical Reynolds number increases slightly as the ``number of waves'' in the azimuthal direction in the assumed form of the disturbance increases.
R. C. DiPrima (Thu,) studied this question.