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Mathematics Research Report MRR95-090

Pattern formation in an etched radial Hele Shaw cell

M. T. Batchelor and B. I. Henry

Abstract: We have introduced numerical schemes for simulating pattern formation at the interface between two imiscible fluids in an etched radial Hele Shaw cell. Our simulations, which have been carried out over a range of two model parameters, are compared with experimental results that have been reported for a range of plate spacings and applied pressures. The simulations reproduce the complete range of morphology transitions in the experiments.


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