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Mixing by shear instability at high Reynolds number

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TLDR
In this paper, the authors show that the mixing induced by shear instability at high Reynolds number does not primarily occur by overturning in the cores; rather it results from secondary shear instabilities within the zones of intensified shear separating the cores.
Abstract
[1] Shear instability is the dominant mechanism for converting fluid motion to mixing in the stratified ocean and atmosphere. The transition to turbulence has been well characterized in laboratory settings and numerical simulations at moderate Reynolds number—it involves “rolling up”, i.e., overturning of the density structure within the cores of the instabilities. In contrast, measurements in an energetic estuarine shear zone reveal that the mixing induced by shear instability at high Reynolds number does not primarily occur by overturning in the cores; rather it results from secondary shear instabilities within the zones of intensified shear separating the cores. This regime is not likely to be observed in the relatively low Reynolds number flows of the laboratory or in direct numerical simulations, but it is likely a common occurrence in the ocean and atmosphere.

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Citations
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Mixing and Transport in Coastal River Plumes

TL;DR: A detailed description of the interaction and relative importance of different mixing and transport processes in river plumes has not yet been realized as discussed by the authors, but a series of major observational efforts have significantly improved our understanding of the dynamics and mixing processes in these regions.
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Ocean mixing by Kelvin-Helmholtz instability

William D. Smyth, +1 more
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The ‘zoo’ of secondary instabilities precursory to stratified shear flow transition. Part 1 Shear aligned convection, pairing, and braid instabilities

TL;DR: In this article, the authors studied the competition between various secondary instabilities that co-exist in a preturbulent stratified parallel flow subject to Kelvin-Helmholtz instability.
Journal ArticleDOI

Shear-induced mixing in geophysical flows: does the route to turbulence matter to its efficiency?

TL;DR: In this paper, the authors provide a detailed analysis of high-Reynolds-number mixing in density stratified shear flows which constitute an archetypical example of the small-scale physical processes occurring in the oceanic interior that control turbulent diffusion.
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Turbulent diapycnal mixing in stratified shear flows: the influence of Prandtl number on mixing efficiency and transition at high Reynolds number

TL;DR: In this paper, the authors focus on a model problem which allows them to address the fundamental fluid mechanics that is expected to be characteristic of the oceanographic regime and demonstrate that the oceanographically expected high value of the Prandtl number has a profound influence on the nature of the secondary instabilities that govern the transition process.
References
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Journal ArticleDOI

On the stability of heterogeneous shear flows

TL;DR: In this paper, small perturbations of a parallel shear flow U(y) in an inviscid, incompressible fluid of variable density ρ 0 (y) are considered.
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Numerical studies of the stability of inviscid stratified shear flows

TL;DR: In this paper, the Taylor-Goldstein equation is used to describe the stability of inviscid, parallel, stratified shear flows to two-dimensional disturbances, and two computer programs are developed to integrate the stability equation and to solve for eigenvalues.
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Structure and Generation of Turbulence at Interfaces Strained by Internal Solitary Waves Propagating Shoreward over the Continental Shelf

TL;DR: In this article, the structure within internal solitary waves propagating shoreward over Oregon's continental shelf is studied. But the authors focus on the evolving nature of interfaces as they become unstable and break, creating turbulent flow.
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The Efficiency of Mixing in Turbulent Patches: Inferences from Direct Simulations and Microstructure Observations

TL;DR: The time evolution of mixing in turbulent overturns using a combination of direct numerical simulations (DNS) and microstructure profiles obtained during two field experiments is investigated in this article, where the focus is on the flux coefficient G, the ratio of the turbulent buoyancy flux to the turbulent kinetic energy dissipation rate.
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Experiments on instability and turbulence in a stratified shear flow

TL;DR: In this paper, a study of turbulence which results from Kelvin-Helmholtz instability at the interface between two miscible fluids in a two-dimensional shear flow in the laboratory is described.
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