Comptes Rendus
no. 3
Stabilising effect of the Coriolis forces on a viscous liquid film flowing over a spinning disc
[Effet stabilisant des forces de Coriolis sur un film liquide visqueux s'écoulant sur un disque tournant]

Présenté par : Évariste Sanchez-Palencia

Grigori M. Sisoev1, 2  ; Omar K. Matar1 ; Christopher J. Lawrence1
1 Department of Chemical Engineering and Chemical Technology, Imperial College London, London SW7 2AZ, UK
2 Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, 119992, Russia
Comptes Rendus. Mécanique, Volume 332 (2004) no. 3, pp. 203-207.

Un modèle développé pour la description des régimes d'ondes d'amplitude finie dans un film s'écoulant sur un disque tournant est utilisé pour expliquer le rôle stabilisant des forces de Coriolis. Comme dans le cas d'ondes sur un film tombant, une relation linéaire entre la vitesse de l'onde et l'épaisseur maximale du film a été établie pour les ondes axisymétriques dans un film s'écoulant sur un disque tournant.

A model developed for the description of finite-amplitude wave regimes in a film flowing over a spinning disc is used to explain the stabilizing role of the Coriolis forces. As in the case of waves on a falling film, a linear relationship between the wave velocity and the maximum of the film thickness has been determined for axisymmetric waves in a film flowing over a spinning disc.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2004.01.001
Keywords: Fluid mechanics, Waves, Bifurcations
Mot clés : Mécanique des fluides, Ondes, Bifurcations
Grigori M. Sisoev 1, 2 ; Omar K. Matar 1 ; Christopher J. Lawrence 1

1 Department of Chemical Engineering and Chemical Technology, Imperial College London, London SW7 2AZ, UK
2 Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, 119992, Russia 
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Grigori M. Sisoev; Omar K. Matar; Christopher J. Lawrence. Stabilising effect of the Coriolis forces on a viscous liquid film flowing over a spinning disc. Comptes Rendus. Mécanique, Volume 332 (2004) no. 3, pp. 203-207. doi : 10.1016/j.crme.2004.01.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.01.001/

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[2] G.M. Sisoev; O.K. Matar; C.J. Lawrence Axisymmetric wave regimes in viscous liquid film flow over a spinning disk, J. Fluid Mech., Volume 495 (2003), pp. 385-411

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[7] H. Espig; R. Hoyle Waves in a thin liquid layer on a rotating disk, J. Fluid Mech., Volume 22 (1965) no. 4, pp. 671-677

[8] V.Ya. Shkadov Wave flow regimes of a thin layer of viscous fluid subject to gravity, Fluid Dynamics, Volume 2 (1967) no. 1, pp. 43-51

[9] S.V. Alekseenko; V.E. Nakoryakov; B.T. Pokusaev Wave Flow of Films, Nauka, Novosibirsk, 1992

[10] H.-C. Chang; E.A. Demekhin Complex Wave Dynamics in Thin Films, Elsevier, Amsterdam, 2002

[11] V.Ya. Shkadov; G.M. Sisoev Wavy falling liquid films: theory and computation instead of physical experiment, IUTAM Symposium on Nonlinear Waves in Multi-Phase Flow, Notre Dame University, Kluwer, 2000, pp. 1-10

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[13] G.M. Sisoev; V.Ya. Shkadov Development of dominating waves from small disturbances in falling viscous-liquid films, Fluid Dynamics, Volume 32 (1997) no. 6, pp. 784-792

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