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Elementary stratified flows with stability at low Richardson number

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journal contribution
posted on 10.07.2018 by Ricardo Lopes-Barros, Wooyoung Choi
We 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 Fluids

Volume

26

Issue

12

Citation

BARROS, R. and CHOI, W., 2014. Elementary stratified flows with stability at low Richardson number. Physics of Fluids, 26 (12), 124107.

Publisher

© AIP Publishing

Version

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

2014

Notes

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

1070-6631

eISSN

1089-7666

Language

en

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