On non-linear hydrodynamic instability and enhanced transport in differentially rotating flows
From MaRDI portal
Publication:3156115
DOI10.1051/0004-6361:20031010zbMATH Open1059.76024arXivastro-ph/0306378OpenAlexW3104994418WikidataQ68535850 ScholiaQ68535850MaRDI QIDQ3156115
Author name not available (Why is that?)
Publication date: 6 January 2005
Published in: (Search for Journal in Brave)
Abstract: In this paper we argue that differential rotation can possibly sustain hydrodynamic turbulence in the absence of magnetic field. We explain why the non-linearities of the hydrodynamic equations (i.e. turbulent diffusion) should not be neglected, either as a simplifying approximation or based on boundary counditions. The consequences of lifting this hypothesis are studied for the flow stability and the enhanced turbulent transport. We develop a simple general model for the energetics of turbulent fluctuations in differentially rotating flows. By taking into account the non-linearities of the equations of motions, we give constraints on the mean flow properties for the possible development of shear instability. The results from recent laboratory experiments on rotating flows show -- in agreement with the model -- that the pertinent parameter for stability appears to be the Rossby number Ro. The laboratory experiments seem to be compatible with Ro<-1/2 and Ro > 1 in the inviscid or high rotation rates limit. Our results, taken in the inviscid limit, are coherent with the classical linear stability analysis, in the sense that the critical perturbation equals zero on the marginal linear stability curve. We also propose a prescription for turbulent viscosity which generalize the beta-prescription derived in Richard & Zahn 1999.
Full work available at URL: https://arxiv.org/abs/astro-ph/0306378
No records found.
No records found.
This page was built for publication: On non-linear hydrodynamic instability and enhanced transport in differentially rotating flows
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3156115)
