Linear instability of plane Couette and Poiseuille flows

Fuente: arXiv
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Autores principales: Chefranov, Sergey G., Chefranov, Alexander G.
Formato: Preprint
Publicado: 2025
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author Chefranov, Sergey G.
Chefranov, Alexander G.
author_facet Chefranov, Sergey G.
Chefranov, Alexander G.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_04242
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Linear instability of plane Couette and Poiseuille flows
Chefranov, Sergey G.
Chefranov, Alexander G.
Fluid Dynamics
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.
title Linear instability of plane Couette and Poiseuille flows
topic Fluid Dynamics
url https://arxiv.org/abs/2506.04242