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

Abstract

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 state, 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. By observing the growth rate of individual bubbles, we find that von Neumann's law becomes progressively violated with increasing wetness and with 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.

References in corpus (4)

• Growth laws and self-similar growth regimes of coarsening two-dimensional foams: Transition from dry to wet limits
• Topological and geometrical disorder correlate robustly in two-dimensional foams
• Scaling state of dry two-dimensional froths: universal angle deviations and structure
• Decorated vertices with 3-edged cells in 2D foams: exact solutions and properties

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