Instability in stratified shear flow: Review of a physical interpretation based on interacting waves

JR Carpenter, EW Tedford… - Applied …, 2011 - asmedigitalcollection.asme.org
Instability in homogeneous and density stratified shear flows may be interpreted in terms of
the interaction of two (or more) otherwise free waves in the velocity and density profiles …

Two-dimensional interaction of a shear flow with a free surface in a stratified fluid and its solitary-wave solutions via mathematical methods

AR Seadawy - The European Physical Journal Plus, 2017 - Springer
In this study, we presented the problem formulations of models for internal solitary waves in
a stratified shear flow with a free surface. The nonlinear higher order of extended KdV …

[HTML][HTML] Fractional solitary wave solutions of the nonlinear higher-order extended KdV equation in a stratified shear flow: Part I

AR Seadawy - Computers & Mathematics with Applications, 2015 - Elsevier
The problem formulations of models for internal solitary waves in a stratified shear flow with
a free surface are presented. Solitary waves solutions are generated by deriving the …

The butterfly effect and the transition to turbulence in a stratified shear layer

CL Liu, AK Kaminski, WD Smyth - Journal of Fluid Mechanics, 2022 - cambridge.org
In a stably stratified shear layer, multiple competing instabilities produce sensitivity to small
changes in initial conditions, popularly called the butterfly effect (as a flapping wing may …

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

A Mashayek, WR Peltier - Journal of Fluid Mechanics, 2013 - cambridge.org
Motivated by the importance of diapycnal mixing parameterizations in large-scale ocean
general circulation models, we provide a detailed analysis of high-Reynolds-number mixing …

[HTML][HTML] High-resolution observations of the North Pacific transition layer from a Lagrangian float

AK Kaminski, EA D'Asaro… - Journal of Physical …, 2021 - journals.ametsoc.org
A crucial region of the ocean surface boundary layer (OSBL) is the strongly sheared and
strongly stratified transition layer (TL) separating the mixed layer from the upper pycnocline …

Dynamics of asymmetric stratified shear instabilities

J Olsthoorn, AK Kaminski, DM Robb - Physical Review Fluids, 2023 - APS
Most idealized studies of stratified shear instabilities assume that the shear interface and the
buoyancy interface are coincident. We discuss the role of asymmetry on the evolution of …

[HTML][HTML] Stratified shear instabilities in diurnal warm layers

KG Hughes, JN Moum, EL Shroyer… - Journal of Physical …, 2021 - journals.ametsoc.org
In low winds (≲ 2 ms− 1), diurnal warm layers form, but shear in the near-surface jet is too
weak to generate shear instability and mixing. In high winds (≳ 8 ms− 1), surface heat is …

Diapycnal mixing in layered stratified plane Couette flow quantified in a tracer-based coordinate

Q Zhou, JR Taylor, CP Caulfield… - Journal of Fluid …, 2017 - cambridge.org
The mixing properties of statically stable density interfaces subject to imposed vertical shear
are studied using direct numerical simulations of stratified plane Couette flow. The …

Analytical approximations of dispersion relations for internal gravity waves equation with shear flows

V Bulatov, Y Vladimirov - Symmetry, 2020 - mdpi.com
The problem of internal gravity waves fields in a stratified medium of finite depth is
considered for model distributions of background shear currents. For the analytical solution …