Viscous instabilities in flowing foams: a Cellular Potts Model approach
S. P. SanyalBiocomplexity Institute, Department of Physics, Indiana University, 727 E. Third Street, Swain Hall West, Bloomington, IN 47405-7105, USAJames A. GlazierBiocomplexity Institute, Department of Physics, Indiana University, 727 E. Third Street, Swain Hall West, Bloomington, IN 47405-7105, USA
2006en
ABI
Abstract
The Cellular Potts Model (CPM) successfully 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.
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