Instability of the Kolmogorov flow in a wall-bounded domain
Analysis of PDEs
2019-02-26 v1
Abstract
In the magnetohydrodynamics (MHD) experiment performed by Bondarenko and his co-workers in 1979, the Kolmogorov flow loses stability and transits into a secondary steady state flow at the Reynolds number . This problem is modelled as a MHD flow bounded between lateral walls under slip wall boundary condition. The existence of the secondary steady state flow is now proved. The theoretical solution has a very good agreement with the flow measured in laboratory experiment at . Further transition of the secondary flow is observed numerically. Especially, well developed turbulence arises at .
Keywords
Cite
@article{arxiv.1902.08916,
title = {Instability of the Kolmogorov flow in a wall-bounded domain},
author = {Zhi-Min Chen},
journal= {arXiv preprint arXiv:1902.08916},
year = {2019}
}