Transition to turbulence in a shear flow
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
We analyze the properties of a 19 dimensional Galerkin approximation to a parallel shear flow. The laminar flow with a sinusoidal shape is stable for all Reynolds numbers Re. For sufficiently large Re additional stationary flows occur; they are all unstable. The lifetimes of finite amplitude perturbations show a fractal dependence on amplitude and Reynolds number. These findings are in accord with observations on plane Couette flow and suggest a universality of this transition szenario in shear flows.
Keywords
Cite
@article{arxiv.chao-dyn/9904048,
title = {Transition to turbulence in a shear flow},
author = {Bruno Eckhardt and Alois Mersmann},
journal= {arXiv preprint arXiv:chao-dyn/9904048},
year = {2009}
}
Comments
revtex, 10 pages, 11 figures (included)