Viscous instabilities in flowing foams: A Cellular Potts Model approach

Abstract

The Cellular Potts Model (CPM) succesfully simulates drainage and shear in foams. Here we use the CPM to investigate instabilities due to the flow of a single large bubble in a dry, monodisperse two-dimensional flowing foam. As in experiments in a Hele-Shaw cell, above a threshold velocity the large bubble moves faster than the mean flow. Our simulations reproduce analytical and experimental predictions for the velocity threshold and the relative velocity of the large bubble, demonstrating the utility of the CPM in foam rheology studies.

10 pages, 3 figures. Replaced with revised version accepted for publication in JSTAT

References in corpus (2)

• Hysteresis and Avalanches in Two Dimensional Foam Rheology Simulations
• Two-dimensional flow of foam around an obstacle: force measurements

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• Strange Attractor in the Potts Spin Glass on Hierarchical Lattices
• On the Potts model partition function in an external field
• Simulation of the two-dimensional Potts model using nonextensive statistics