Stratified shear flow instabilities in the non-Boussinesq regime
نویسندگان
چکیده
منابع مشابه
Stability of Unstably Stratified Shear Flow in a Channel Under Non-Boussinesq Conditions
We investigate the linear stability of unstably strati ed Poiseuille ow between two horizontal parallel plates under non-Boussinesq conditions. It is shown, that Squire's transformation can be used to reduce the three-dimensional stability problem to an equivalent two-dimensional one. The eigenvalue problem, consisting of the generalized Orr-Sommerfeld equations, is solved numerically using an ...
متن کاملUnderstanding critical layers in stratified shear flow instabilities: A wave interaction perspective
In this paper we examine the dynamics of unstable critical layers in stratified shear flows. This is done from the framework of the wave interaction theory of shear instabilities, which views instability as arising from the mutual interaction between wave motions that are present in the background shear and density fields. By formulating a simple analytical model of the structure of vorticity w...
متن کاملInternal Wave Tunnelling Through Non-uniformly Stratified Shear Flow
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...
متن کاملGeneralizing the Boussinesq Approximation to Stratified Compressible Flow
The simplifications required to apply the Boussinesq approximation to compressible flow are compared with those in an incompressible fluid. The larger degree of approximation required to describe mass conservation in a stratified compressible fluid with the Boussinesq continuity equation has led to the development of several different sets of “anelastic” equations that may be regarded as genera...
متن کاملRadiation Instability in a Stratified Shear Flow
The paper deals with a new mechanism of instability in stratified fluid caused by internal wave radiation from a shear layer. This radiation instability may be explained in terms of the negativeenergy wave concept. These waves are able to grow due to radiation losses. The dispersion relation and non-linear stage of the process are analyzed through a model with tangential velocity discontinuity....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics of Fluids
سال: 2015
ISSN: 1070-6631,1089-7666
DOI: 10.1063/1.4928738