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On two-dimensional foam ageing

Published online by Cambridge University Press:  14 April 2011

J. DUPLAT ,
B. BOSSA  and
E. VILLERMAUX
J. DUPLAT
Affiliation:
Aix-Marseille Université, IUSTI, 13453 Marseille Cedex 13, France
B. BOSSA
Affiliation:
Aix-Marseille Université, IRPHE, 13384 Marseille Cedex 13, France
E. VILLERMAUX*
Affiliation:
Institut Universitaire de France, 103, boulevard Saint-Michel, 75005 Paris, France
*
†Email address for correspondence: [email protected]
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Abstract

The present study aims at documenting, making use of an original set-up allowing to acquire well-converged data, the coarsening of foams in two dimensions. Experiments show that a foam behaves quite differently depending on the way it has been prepared. We distinguish between an initially quasi-monodisperse foam and a polydisperse foam. The coarsening laws are initially different, although both foams reach a common, time-dependent asymptotic regime.

The ageing process relies on exchanges between adjacent foam cells (von Neumann's law), and on topological rearrangement (1 and 2 processes) whose rates are measured in all regimes. We attempt to make their contribution to the evolution of the area S and facet number n distribution of probability P(S, n, t) quantitative. The corresponding mean field theory predictions represent well the phenomenon qualitatively, and are sometimes in quantitative agreement with the measurements. A simplified version of this theory, taking the form of a Langevin model, explains in a straightforward manner the different scaling laws in the different regimes, for the different foams.

JFM classification

Interfacial Flows (free surface): Capillary flows Complex Fluids: Complex Fluids Complex Fluids: Foams
Type
Papers
Information
Journal of Fluid Mechanics , Volume 673 , 25 April 2011 , pp. 147 - 179
Copyright
Copyright © Cambridge University Press 2011

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