Linear instability of plane Couette and Poiseuille flows
Fluid Dynamics
2025-06-06 v1
Abstract
It is shown that linear instability of plane Couette flow can take place even at finite Reynolds numbers which meets with known experimental data. This new result of the linear theory of hydrodynamic stability is obtained only due by abandoning traditional assumption of the longitudinal periodicity of disturbances in the flow direction.
Keywords
Cite
@article{arxiv.2506.04242,
title = {Linear instability of plane Couette and Poiseuille flows},
author = {Sergey G. Chefranov and Alexander G. Chefranov},
journal= {arXiv preprint arXiv:2506.04242},
year = {2025}
}
Comments
13 pages, 3 figures