Relative periodic orbits in plane Poiseuille flow

Subhendu Rawat; Carlo Cossu; François Rincon

doi:10.1016/j.crme.2014.05.008

Relative periodic orbits in plane Poiseuille flow

Subhendu Rawat ¹; Carlo Cossu ¹ ; François Rincon ^2,³

¹ Institut de mécanique des fluides de Toulouse, CNRS and Université de Toulouse, allée du Professeur-Camille-Soula, 31400 Toulouse, France
² Université de Toulouse, UPS–OMP, IRAP, Toulouse, France
³ CNRS, IRAP, 14, avenue Édouard-Belin, 31400 Toulouse, France

Comptes Rendus. Mécanique, Volume 342 (2014) no. 8, pp. 485-489.

Abstract

A branch of relative periodic orbits is found in plane Poiseuille flow in a periodic domain at Reynolds numbers ranging from $Re = 3000$ to $Re = 5000$ . These solutions consist in sinuous quasi-streamwise streaks periodically forced by quasi-streamwise vortices in a self-sustained process. The streaks and the vortices are located in the bulk of the flow. Only the amplitude, but not the shape, of the averaged velocity components does change as the Reynolds number is increased from 3000 to 5000. We conjecture that these solutions could therefore be related to large- and very large-scale structures observed in the bulk of fully developed turbulent channel flows.

Received: 2014-03-23
Accepted: 2014-05-23
Published online: 2014-06-25

DOI: 10.1016/j.crme.2014.05.008

Mots-clés : Fluid dynamics, Hydrodynamic stability, Transition to turbulence

Author's affiliations:

Subhendu Rawat ¹; Carlo Cossu ¹; François Rincon ^{2, 3}

¹ Institut de mécanique des fluides de Toulouse, CNRS and Université de Toulouse, allée du Professeur-Camille-Soula, 31400 Toulouse, France
² Université de Toulouse, UPS–OMP, IRAP, Toulouse, France
³ CNRS, IRAP, 14, avenue Édouard-Belin, 31400 Toulouse, France

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     title = {Relative periodic orbits in plane {Poiseuille} flow},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {485--489},
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     doi = {10.1016/j.crme.2014.05.008},
     language = {en},
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Subhendu Rawat; Carlo Cossu; François Rincon. Relative periodic orbits in plane Poiseuille flow. Comptes Rendus. Mécanique, Volume 342 (2014) no. 8, pp. 485-489. doi : 10.1016/j.crme.2014.05.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.05.008/

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