Abstract
In experiments on the displacement of viscous fluids in a Hele-Shaw cell of channel type the catastrophic development of competition between fingers is sometimes observed: for a long time two fingers propagate almost side by side and then one of them suddenly suppresses the other. It is believed that this is a manifestation of the capillary forces on the phase interface [1]. Using the solution found in [2] for the problem in an idealized formulation, it is shown that this scenario is perfectly feasible without having to take capillary forces into account.
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Original Russian Text © M.M. Alimov, 2008, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2008, Vol. 43, No. 5, pp. 90–102.
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Alimov, M.M. Competition between fingers in Hele-Shaw flows. Fluid Dyn 43, 751–762 (2008). https://doi.org/10.1134/S0015462808050098
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DOI: https://doi.org/10.1134/S0015462808050098