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Elementary stratified flows with stability at low Richardson number
journal contribution
posted on 2018-07-10, 12:35 authored by Ricardo Lopes-BarrosRicardo Lopes-Barros, Wooyoung ChoiWe revisit the stability analysis for three classical configurations of multiple fluid layers proposed by Goldstein ["On the stability of superposed streams of fluids of different densities," Proc. R. Soc. A. 132, 524 (1931)], Taylor ["Effect of variation in density on the stability of superposed streams of fluid," Proc. R. Soc. A 132, 499 (1931)], and Holmboe ["On the behaviour of symmetric waves in stratified shear layers," Geophys. Publ. 24, 67 (1962)] as simple prototypes to understand stability characteristics of stratified shear flows with sharp density transitions. When such flows are confined in a finite domain, it is shown that a large shear across the layers that is often considered a source of instability plays a stabilizing role. Presented are simple analytical criteria for stability of these low Richardson number flows.
History
School
- Science
Department
- Mathematical Sciences
Published in
Physics of FluidsVolume
26Issue
12Citation
BARROS, R. and CHOI, W., 2014. Elementary stratified flows with stability at low Richardson number. Physics of Fluids, 26 (12), 124107.Publisher
© AIP PublishingVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2014Notes
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in BARROS, R. and CHOI, W., 2014. Elementary stratified flows with stability at low Richardson number. Physics of Fluids, 26 (12), 124107 and may be found at https://doi.org/10.1063/1.4904871.ISSN
1070-6631eISSN
1089-7666Publisher version
Language
- en