Instabilit´ e des ´ ecoulements tournants stratifi´ es

In this work we analyse the linear stability of two rotating flows in a fluid linearly stratified along the vortex axis : the Lamb-Oseen vortex and the potential flow around a rotating cylinder. We show that both flows become unstable in stratified fluids. We use a Chebyshev spectral collocation code to find the viscous threshold of the instability. We also present the experimental results for the two flows in agreement with the numerical results.

[1]  S. L. Dizes,et al.  Viscous stability properties of a Lamb–Oseen vortex in a stratified fluid , 2010, Journal of Fluid Mechanics.

[2]  R. Ford The instability of an axisymmetric vortex with monotonic potential vorticity in rotating shallow water , 1994, Journal of Fluid Mechanics.

[3]  D. W. Moore,et al.  Acoustic destablilization of vortices , 1979, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.