Isaac Newton Institute for Mathematical Sciences

Occurence of a cyclonic vortices regime before breakdown to turbulence in a precessing cylinder

Authors: Waleed Mouhali (Luth, Observatoire de Meudon), Jacques Léorat (Luth, Observatoire de Meudon), Thierry Lehner (Luth, Observatoire de Meudon), René Vitry (Luth, Observatoire de Meudon)

Abstract

We are exploring the properties of precession forcing in a cylinder (ATER experiment), which shows a transition from laminar to turbulent regime when the precession rate becomes larger than a critical rate. In the laminar regime, we observe (by PIV measurement) the occurrence of a few isolated cyclonic vortices, which are lacking in the linearized solution (Kelvin waves) and have not been obtained in numerical simulations at much lower Reynolds numbers. These cyclones come from a boundary layer instability connected with the Ekman layer perturbations due to precession. They may play a crucial role in breaking the parity invariance (central symmetry) of the laminar flow. They probably could have some importance concerning the transition to turbulence.