Stabilising effect of the Coriolis forces on a viscous liquid film flowing over a spinning disc

Grigori M. Sisoev; Omar K. Matar; Christopher J. Lawrence

doi:10.1016/j.crme.2004.01.001

Stabilising effect of the Coriolis forces on a viscous liquid film flowing over a spinning disc

Presented by: Évariste Sanchez-Palencia

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

Comptes Rendus. Mécanique, Volume 332 (2004) no. 3, pp. 203-207.

Abstract
Résumé

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.

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.

Received: 2003-07-24
Accepted: 2004-01-07
Published online: 2004-02-18

DOI: 10.1016/j.crme.2004.01.001

Keywords: Fluid mechanics, Waves, Bifurcations
Mots-clés : Mécanique des fluides, Ondes, Bifurcations

Author's affiliations:

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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     author = {Grigori M. Sisoev and Omar K. Matar and Christopher J. Lawrence},
     title = {Stabilising effect of the {Coriolis} forces on a viscous liquid film flowing over a spinning disc},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {203--207},
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     number = {3},
     year = {2004},
     doi = {10.1016/j.crme.2004.01.001},
     language = {en},
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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/

References
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