Solutions multiples pour les écoulements tridimensionnels en rotation

Emerson Barbosa; Olivier Daube

doi:10.1016/S1631-0721(02)01534-6

Solutions multiples pour les écoulements tridimensionnels en rotation
[Multiple solutions for three-dimensional swirling flows]

Emerson Barbosa ¹; Olivier Daube ¹

¹ CEMIF–LME, 40, rue du Pelvoux, CE 1455 Courcouronnes, 91020 Evry cedex, France

Comptes Rendus. Mécanique, Volume 330 (2002) no. 11, pp. 791-796.

Abstract
Résumé

The symmetry-breaking in a swirling flow generated inside a cylindrical tank of aspect ratio h=1 by the rotation of one lid is studied numerically. Beyond a critical Reynolds number, the flow undergoes a bifurcation to three-dimensional solutions. The spatial and temporal behaviour on these branches are examined.

La rupture de l'axisymétrie des écoulements entraînés par la rotation d'un disque au fond d'une cuve cylindrique de rapport de forme h=1 est étudiée numériquement. Au delà d'un nombre de Reynolds critique, l'écoulement bifurque vers des solutions tridimensionnelles. Les caractéristiques spatiales et temporelles des branches atteintes sont analysées.

Received: 2002-07-19
Revised: 2002-09-26
Published online: 2002-10-25

DOI: 10.1016/S1631-0721(02)01534-6

Mots-clés : mécanique des fluides, écoulement en rotation, brisure de l'axisymétrie, transition, simulation numérique direct
Keywords: fluid mechanics, rotating flow, symmetry-breaking, transition, direct numerical simulation

Author's affiliations:

Emerson Barbosa ¹; Olivier Daube ¹

¹ CEMIF–LME, 40, rue du Pelvoux, CE 1455 Courcouronnes, 91020 Evry cedex, France

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     title = {Solutions multiples pour les \'ecoulements tridimensionnels en rotation},
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Emerson Barbosa; Olivier Daube. Solutions multiples pour les écoulements tridimensionnels en rotation. Comptes Rendus. Mécanique, Volume 330 (2002) no. 11, pp. 791-796. doi : 10.1016/S1631-0721(02)01534-6. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01534-6/

References
Cited by

[1] M.P. Escudier Observations of the flow produced in a cylindrical container by a rotating endwall, Experiments in Fluids, Volume 2 (1984), pp. 189-196

[2] A. Spohn; M. Mory; E.J. Hopfinger Experiments on vortex breakdown in a confined flow generated by a rotating disc, J. Fluid Mech, Volume 370 (1998), pp. 73-99

[3] F. Marques; J.M. Lopez; J. Shen Mode interactions in an enclosed swirling flow: a double Hopf between azimuthal wavenumbers 0 and 2, J. Fluid Mech, Volume 455 (2002), pp. 263-281

[4] F. Marques, J.M. Lopez, Precessing vortex breakdown mode in a enclosed cylinder flow, Phys. Fluids 13 1679–1682

[5] F. Sotiropoulos; Y. Ventikos The three-dimensional structure of a confined flow generated by a rotating disc, J. Fluid Mech, Volume 426 (2001), pp. 155-175

[6] E. Serre, P. Bontoux, Vortex breakdown in a three-dimensional swirling flow, J. Fluid Mech., submitted

[7] E. Barbosa, O. Daube, A finite differences method for 3D incompressible flows in cylindrical coordinates, Comp. & Fluids (2002), submitted

[8] L.S. Tuckerman Steady-state solving via Stokes preconditioning. Recursion relations for elliptic operators, Lectures Notes in Phys, 1989, pp. 573-577

[9] A.Y. Gelfgat; P.Z. Bar-Yoseph; A. Solan Three-dimensionnal instability of axisymmetric flow in a rotating lid-cylinder enclosure, J. Fluid Mech, Volume 438 (2001), pp. 363-377

[10] E. Knobloch Bifurcations in rotating systems (M.R.E. Poctor; A.D. Gilbert, eds.), Lectures on Solar Planetary Dynamos, Cambridge University Press, 1994

[11] A.H. Hirsa; J.M. Lopez; R. Miraghaie Symmetry breaking to a rotating wave in a lid-driven cylinder with a free surface: Experimental observation, Phys. Fluids, Volume 14 (2002), pp. 29-32

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