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Fluid Dynamics

, Volume 51, Issue 2, pp 253–265 | Cite as

Unsteady motion of a bubble in a Hele-Shaw cell

  • M. M. Alimov
Article

Abstract

New exact solutions of an idealized unsteady single-phase Hele-Shaw problem of air-bubble motion in a slot-type channel are constructed under the assumption of bubble symmetry relative to the central axis of the channel. Qualitative features of the interface evolution, which distinguish this case from the earlier considered cases of Hele-Shaw flow with different geometry, are detected.

Keywords

interphase boundary single-phase Hele-Shaw problem unsteady bubble motion exact solution 

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Copyright information

© Pleiades Publishing, Ltd. 2016

Authors and Affiliations

  1. 1.Kazan Federal UniversityLobachevsky Institute of Mathematics and MechanicsKazanRussia

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