Motivated by the success of potential vorticity (PV) thinking for Rossby waves and related shear flow phenomena, this work develops a buoyancy–vorticity formulation of gravity waves in stratified shear flow, for which the nonlocality enters in the same way as it does for barotropic/baroclinic shear flows. This formulation provides a time integration scheme that is analogous to the time integrat...

We examine the transmission of internal gravity waves through a non-uniformly stratified fluid with vertically varying background shear. To quantify wave transmission we show that the appropriate measure is the ratio of the flux of transmitted to incident pseudoenergy, T. We derive an analytic prediction of T for the transmission of waves through a piecewise-linear shear flow in two cases. In b...

The long term goal of this work is to understand the physics of turbulent stratified shear flows as might be found in coastal regions and estuaries where both shear and stratification are strong. It is our hypothesis that turbulence under these conditions of active generation may function in a way that is fundamentally different from weak turbulence below the thermocline (or above the bottom mi...

A large body of recent work in wall-bounded, unstratified shear flow has been dedicated to finding Exact Coherent Structures (ECS) (e.g. see the review Kawahara et al. (2012)). These are fully non-linear, invariably unstable, exact solutions which help understand how turbulence arises. The growing consensus is that the existence of these solutions is a necessary (but not sufficient) condition f...

An analytical approach is carried out that provides an inviscid stability criterion for the strato-rotational instability (in short SRI) occurring in a Taylor-Couette system. The control parameters of the problem are the rotation ratio μ and the radius ratio η. The study is motivated by recent experimental [1] and numerical [2, 3] results reporting the existence of unstable modes beyond the Ray...

This paper presents a novel approach for estimation of available bandwidth on access links using stratified probing. The main challenges of performing such estimations in this network part is related to the bursty nature of cross-traffic and the related uncertainty regarding appropriate time period for producing sample estimates. Under the fluid flow traffic model assumption, these problems wou...