Le Dizès, Stéphane

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Archive Ouverte en Sciences de l'Information et de la Communication

Internal shear layers in a stratified and rotating fluid
S. Le Dizès∗
In a stratified and rotating fluid, internal shear layers are systematically generated
when an object oscillates at a frequency between the buoyancy frequency and the
vorticity of the fluid. In this talk, I first show that these viscous layers have a generic
self-similar structure in the limit of large Reynolds numbers1. Then, I consider the
reflection of these layers on a boundary. I show that a strong meanflow correction is
generated close to the reflection point. I provide its asymptotic structure in the limit
of large Reynolds numbers according to the boundary inclination. I finally discuss
applications of the results in the context of oceanography (tide) and planetary interiors
(libration).
Region of 
interest
⌦
~g
!
!
Figure 1: Sketches of the typical applications. Left: Reflection on the outer boundary
of a wave beam generated by the libration of the inner core; Right: Reflection on a
mountain of a wave beam generated by a tidal wave on a supercritical topography.
∗Aix Marseille Univ, CNRS, Centrale Marseille, IRPHE, Marseille, France
1Le Dizès & Le Bars, J. Fluid Mech. 826, 653 (2017).


Internal shear layers in a stratified and rotating fluid

https://hal.archives-ouvertes.fr/hal-01765321/file/LeDizes2018.pdf

Internal shear layers in a stratified and rotating fluid

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