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The stability of an inviscid fluid between two concentric rotating cylinders to nonrotationally symmetric disturbances is investigated. The limiting form of the disturbance equations for small gap-to-radius ratios is derived. Computations of the growth rate of unstable disturbances are carried out for the case in which the cylinders rotate in the same direction. It is found that the growth rate of rotationally symmetric disturbances is greater than that of nonrotationally symmetric disturbances.
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Krueger et al. (1962) studied this question.
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