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Effect of variation in density on the stability of bilinear shear currents with a free surface
journal contribution
posted on 2020-02-17, 11:31 authored by Ricardo Lopes-BarrosRicardo Lopes-Barros, Jose Felipe VolochWe 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 FluidsVolume
32Publisher
AIP PublishingVersion
- 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/10.1063/1.5133454Acceptance date
2020-02-04Publication date
2020-02-21Copyright date
2020ISSN
1070-6631eISSN
1089-7666Publisher version
Language
- en
Depositor
Dr Ricardo Lopes Barros Deposit date: 16 February 2020Article number
022102Usage metrics
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