Displacement of a viscous fluid from a Hele-Shaw cell with a sink


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Abstract

It is found that the radial geometry does not stabilize the evolution of instability in the displacement of a more viscous fluid by a less viscous fluid from a circular Hele-Shaw cell with a sink. A linear analysis shows the absolute instability of the radial displacement front. The appearance of isolated fingers is observed during numerical simulations.

About the authors

O. A. Logvinov

Faculty of Mechanics and Mathematics

Author for correspondence.
Email: oleglogvinov@mail.ru
Russian Federation, Leninskie Gory, Moscow, 119899

E. A. Skryleva

Faculty of Mechanics and Mathematics

Email: oleglogvinov@mail.ru
Russian Federation, Leninskie Gory, Moscow, 119899

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