Abstract

Abstract

Highlights

  • Turbulent mixing in the environment is a combination of both shear-driven and buoyancy-driven processes

  • Besides the mixing efficiency in stratified shear flows, the present study focuses on the dynamics of the transition layer (TL) which develops at the edges of the shear layer

  • We find that Γ3d ∝ Reynolds number (Re)−b 1/2 in the Richardson number (Ri) = 0.04 case its value is substantially larger here leading to a proportionality coefficient of 4 as shown in figure 17(b)

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Summary

Introduction

Turbulent mixing in the environment is a combination of both shear-driven and buoyancy-driven processes. The DNS of Fritts et al (2014) at a Reynolds number up to 10 000 indicate the development of secondary instabilities during the transition to turbulence, some of which are similar to those observed in the DNS with a two-layer density profile in Mashayek & Peltier (2013) It is unclear whether the secondary instabilities in Fritts et al (2014) would enhance mixing efficiency. The present study seeks to investigate stratified turbulence and mixing at high Reynolds number in a shear layer with spatially compact shear using a density profile of space-filling, constant stratification. (2) Does the effect of uniform stratification enhance or reduce the mixing efficiency with respect to that which has been observed in prior studies of homogeneous stratified shear turbulence or mixing layer simulations with a two-layer density profile?.

Stratified shear layer
Numerical methods and simulation set-up
Linear stability analysis of K–H shear instability
Statistical analysis
Re uis3i
Routes to turbulence
Effect of stratification on the growth of shear-layer thickness
Effect of stratification on TKE budget and mixing efficiency
The transition layer
Development of the TL
Internal wave flux across TLs
Mixing efficiency and its parameterization
Discussion and conclusions
Findings
Background

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