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Effect of variation in density on the stability of bilinear shear currents with a free surface

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posted on 2020-02-17, 11:31 authored by Ricardo Lopes-BarrosRicardo Lopes-Barros, Jose Felipe Voloch
We perform the stability analysis for a free surface fluid current modeled as two finite layers of constant vorticity, under the action of gravity and absence of surface tension. In the same spirit as Taylor [“Effect of variation in density on the stability of superposed streams of fluid,” Proc. R. Soc. A 132, 499 (1931)], a geometrical approach to the problem is proposed, which allows us to present simple analytical criteria under which the flow is stable. A strong destabilizing effect of stratification in density is perceived when the results are compared with those obtained for the physical setting where the vorticity interface is also a density interface separating two immiscible fluids with constant densities. In contrast with the homogenous case, the stratified bilinear shear current is mostly unstable and can only be stabilized when the background current in the upper layer is constant.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physics of Fluids

Volume

32

Publisher

AIP Publishing

Version

  • AM (Accepted Manuscript)

Publisher statement

The following article has been accepted by Physics of Fluids. After it is published, it will be found at https://doi.org/10.1063/1.5133454

Acceptance date

2020-02-04

Publication date

2020-02-21

Copyright date

2020

ISSN

1070-6631

eISSN

1089-7666

Language

  • en

Depositor

Dr Ricardo Lopes Barros Deposit date: 16 February 2020

Article number

022102

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