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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011 Number 2, Pages 40–46 (Mi vmumm672)

This article is cited in 4 papers

Mechanics

Stability of the lateral surface of viscous fingers formed when a fluid is displaced from a Hele-Shaw cell

O. A. Logvinov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: It is shown that instability develops on the lateral surface of the viscous fingers formed when a fluid is displaced from a Hele–Shaw cell. This instability is caused by the inertia forces. On the contrary, the viscous forces acting in the plane of the cell stabilize the surface.

Key words: Hele–Shaw cell, viscous fingers.

UDC: 532.517.532.546

Received: 05.11.2008


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2011, 66:2, 25–31

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