Oscillatory jets and instabilities in a rotating cylinder - Archive ouverte HAL Access content directly
Journal Articles Physics of Fluids Year : 2006

Oscillatory jets and instabilities in a rotating cylinder

Abstract

The viscous flow inside a closed rotating cylinder of gas subject to periodic axial compression is investigated numerically. The numerical method is based on a spectral Galerkin expansion of the velocity field, assuming axisymmetry of the flow. If the forcing amplitude is weak and the angular forcing frequency is less than twice the rotation rate, inertial waves emanate from the corners, forming conical oscillatory jets which undergo reflections at the walls. Their thickness is O(E1/3), or O(E1/4) for particular forcing frequencies, where E is the Ekman number. For larger forcing amplitudes, the conical pattern breaks down. When the forcing frequency is resonant with a low-order inertial mode, the flow can undergo two types of parametric instabilities: a mode-triad resonance, and a subharmonic instability. The combination of both these mechanisms provides a possible route to quasiperiodicity of the flow.
Fichier principal
Vignette du fichier
Duguet_POF_2006.pdf (670.03 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

hal-00274854 , version 1 (15-06-2012)

Identifiers

Cite

Yohann Duguet, Julian F. Scott, Lionel Le Penven. Oscillatory jets and instabilities in a rotating cylinder. Physics of Fluids, 2006, 18, pp.104104. ⟨10.1063/1.2357973⟩. ⟨hal-00274854⟩
103 View
100 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More