Instability of a smooth shear layer through wave interactions
Fluid Dynamics
2019-09-04 v1
Abstract
Wave interaction theory can be used as a tool to understand and predict instability in a variety of homogeneous and stratified shear flows. It is however, most often limited to piecewise-linear profiles of the shear layer background velocity, in which stable vorticity wave modes can be easily identified, and their interaction quantified. This approach to understanding shear flow instability is extended herein to smooth shear layer profiles. We describe a method, by which the stable vorticity wave modes can be identified, and show that their interaction results in an excellent description of the stability properties of the smooth shear layer, thus demonstrating the presence of the wave interaction mechanism in smooth shear flows.
Cite
@article{arxiv.1907.11050,
title = {Instability of a smooth shear layer through wave interactions},
author = {Jeff Carpenter and Anirban Guha},
journal= {arXiv preprint arXiv:1907.11050},
year = {2019}
}