Linear stability of modulated circular Couette flow

  title={Linear stability of modulated circular Couette flow},
  author={Peter James Riley and Robert L. Laurence},
The stability of circular Couette flow when the outer cylinder is at rest and the inner is modulated both with and without a mean shear is examined in the narrow-gap limit. Disturbances are assumed to be axisymmetric. Two criteria are used to determine conditions for stability; the first requires that the motion be strongly stable, the second only that disturbances of arbitrary initial energy decay from cycle to cycle. The behaviour of critical parameters as a function of frequency is similar… CONTINUE READING