On two-dimensional foam ageing

Duplat, Jérôme; Bossa, Benjamin; Villermaux, Emmanuel

doi:10.1017/s0022112010006257

Cited by 25 publications

(23 citation statements)

References 39 publications

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“…From all runs, a total of 14 663 bubbles were observed. This is enough for statistical purposes, though it is possible to observe many more bubbles at lower resolution using sample cells that are larger or have thinner gaps [43,44].…”

Section: Methodsmentioning

confidence: 99%

Bubble statistics and coarsening dynamics for quasi-two-dimensional foams with increasing liquid content

2013

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. (2013). Bubble statistics and coarsening dynamics for quasi-two-dimensional foams with increasing liquid content. Physical Review E, 87(4) Bubble statistics and coarsening dynamics for quasi-two-dimensional foams with increasing liquid content AbstractWe report on the statistics of bubble size, topology, and shape and on their role in the coarsening dynamics for foams consisting of bubbles compressed between two parallel plates. The design of the sample cell permits control of the liquid content, through a constant pressure condition set by the height of the foam above a liquid reservoir. We find that in the scaling regime, all bubble distributions are independent not only of time, but also of liquid content. For coarsening, the average rate decreases with liquid content due to the blocking of gas diffusion by Plateau borders inflated with liquid; we achieve a factor of 4 reduction from the dry limit. By observing the growth rate of individual bubbles, we find that von Neumann's law becomes progressively violated with increasing wetness and decreasing bubble size. We successfully model this behavior by explicitly incorporating the border-blocking effect into the von Neumann argument. Two dimensionless bubble shape parameters naturally arise, one of which is primarily responsible for the violation of von Neumann's law for foams that are not perfectly dry. We report on the statistics of bubble size, topology, and shape and on their role in the coarsening dynamics for foams consisting of bubbles compressed between two parallel plates. The design of the sample cell permits control of the liquid content, through a constant pressure condition set by the height of the foam above a liquid reservoir. We find that in the scaling regime, all bubble distributions are independent not only of time, but also of liquid content. For coarsening, the average rate decreases with liquid content due to the blocking of gas diffusion by Plateau borders inflated with liquid; we achieve a factor of 4 reduction from the dry limit. By observing the growth rate of individual bubbles, we find that von Neumann's law becomes progressively violated with increasing wetness and decreasing bubble size. We successfully model this behavior by explicitly incorporating the border-blocking effect into the von Neumann argument. Two dimensionless bubble shape parameters naturally arise, one of which is primarily responsible for the violation of von Neumann's law for foams that are not perfectly dry. Disciplines Physical Sciences and Mathematics | Physics

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Section: Methodsmentioning

confidence: 99%

Bubble statistics and coarsening dynamics for quasi-two-dimensional foams with increasing liquid content

2013

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“…In particular, Roth et al [16] have recently reported detailed investigations into the coarsening behaviour of such quasi-2D foams with different liquid fractions. Duplat et al did an extensive study of the evolution of a 2D monodisperse foam towards the scaling state through coarsening [28].…”

Section: Introductionmentioning

confidence: 99%

In situ measurement of the permeability of foam films using quasi-two-dimensional foams

Saulnier

Drenckhan

Larré

et al. 2015

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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“…The geometrical disorder is the relative width of the bubble size distribution; it is fixed by the repartition of gas between bubbles, and it plays a role in a foam's mechanical properties [3]. The topological disorder is the relative width of the bubble side number distribution; it is determined by the past history of the foam, and it plays a role in foam coarsening [4].…”

Section: Introductionmentioning

confidence: 99%

Statistical mechanics of two-dimensional shuffled foams: Geometry-topology correlation in small or large disorder limits

et al. 2014

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Bubble monolayers are model systems for experiments and simulations of two-dimensional packing problems of deformable objects. We explore the relation between the distributions of the number of bubble sides (topology) and the bubble areas (geometry) in the low liquid fraction limit. We use a statistical model [M. Durand, Europhys. Lett. 90, 60002 (2010)] which takes into account Plateau laws. We predict the correlation between geometrical disorder (bubble size dispersity) and topological disorder (width of bubble side number distribution) over an extended range of bubble size dispersities. Extensive data sets arising from shuffled foam experiments, SURFACE EVOLVER simulations, and cellular Potts model simulations all collapse surprisingly well and coincide with the model predictions, even at extremely high size dispersity. At moderate size dispersity, we recover our earlier approximate predictions [M. Durand, J. Kafer, C. Quilliet, S. Cox, S. A. Talebi, and F. Graner, Phys. Rev. Lett. 107, 168304 (2011)]. At extremely low dispersity, when approaching the perfectly regular honeycomb pattern, we study how both geometrical and topological disorders vanish. We identify a crystallization mechanism and explore it quantitatively in the case of bidisperse foams. Due to the deformability of the bubbles, foams can crystallize over a larger range of size dispersities than hard disks. The model predicts that the crystallization transition occurs when the ratio of largest to smallest bubble radii is 1.4.

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On two-dimensional foam ageing

Cited by 25 publications

References 39 publications

Bubble statistics and coarsening dynamics for quasi-two-dimensional foams with increasing liquid content

Bubble statistics and coarsening dynamics for quasi-two-dimensional foams with increasing liquid content

In situ measurement of the permeability of foam films using quasi-two-dimensional foams

Statistical mechanics of two-dimensional shuffled foams: Geometry-topology correlation in small or large disorder limits

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