Propagation mechanism of localized wave packet in plane-Poiseuille flow
Fluid Dynamics
2021-03-31 v2 Pattern Formation and Solitons
Abstract
The convection velocity of localized wave packet in plane-Poiseuille flow is found to be determined by a solitary wave at the centerline of a downstream vortex dipole in its mean field after deducting the basic flow. The fluctuation component following the vortex dipole oscillates with a global frequency selected by the upstream marginal absolute instability, and propagates obeying the local dispersion relation of the mean flow. By applying localized initial disturbances, a nonzero wave-packet density is achieved at the threshold state, suggesting a first order transition.
Keywords
Cite
@article{arxiv.2009.05213,
title = {Propagation mechanism of localized wave packet in plane-Poiseuille flow},
author = {Yue Xiao and Jianjun Tao and Linsen Zhang},
journal= {arXiv preprint arXiv:2009.05213},
year = {2021}
}
Comments
5 pages, 4 figures