Large-scale instability in hydrodynamics with stable temperature stratification driven by small-scale helical force
Fluid Dynamics
2012-04-24 v1
Abstract
In this work we consider the effect of a small-scale helical driving force on fluid with a stable temperature gradient with Reynolds number Re<<1. At first glance, this system does not appear to have any instability. However, we show that large-scale vortex instability appears in fluid despite its stable stratification. In the non-linear mode, this instability gets saturated and gives a large number of stationary spiral vortex structures. Among these structures there is a stationary helical soliton and a kink of a new type. The theory is built on the rigorous asymptotical method of multi-scale development.
Cite
@article{arxiv.1204.5024,
title = {Large-scale instability in hydrodynamics with stable temperature stratification driven by small-scale helical force},
author = {Anatoly V. Tur and Vladimir V. Yanovsky},
journal= {arXiv preprint arXiv:1204.5024},
year = {2012}
}
Comments
34 pages, 10 figures