Instability and equilibration of centrifugally stable stratified Taylor-Couette flow.

@article{Molemaker2001InstabilityAE,
  title={Instability and equilibration of centrifugally stable stratified Taylor-Couette flow.},
  author={M. Jeroen Molemaker and Jim Mcwilliams and I. Yavneh},
  journal={Physical review letters},
  year={2001},
  volume={86 23},
  pages={5270-3}
}
The flow between two concentric cylinders, V(r), is studied analytically and computationally for a fluid with stable axial density stratification. A sufficient condition for linear, inviscid instability is d(V/r)(2)/dr<0 (i.e., all anticyclonically sheared flows) rather than the Rayleigh condition for centrifugal instability, d(Vr)(2)/dr<0. This implies a far wider range of instability than previously identified. The instability persists with finite viscosity and nonlinearity, leading to chaos… CONTINUE READING