The effect of the starting condition on the linear stability properties of circular Couette flow with a time-dependent inner-cylinder motion is investigated. In addition to the WKBJ approach employed previously by Eagles [Proc. R. Soc. London, Ser. A 355, 209 (1977)] for slowly varying flow, an initial-value method is also used. Results are presented for different stability criteria.
The stability of unsteady circular Couette flow generated by monotonically increasing the angular speed of the inner cylinder is examined through a series of numerical experiments. Random disturbances are imposed continually on the basic state by the inclusion of random forcing terms in the axisymmetric Navier–Stokes equations. Results of the calculations are compared with previous theoretical and experimental results.
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