This article is cited in 13 papers

Mechanics

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

O. A. Logvinov, E. I. Skryleva

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: It is found that the viscous fingering in an annular Hele-Shaw cell with a sink is unstable in spite of the radial geometry of displacement. A linear analysis shows the absolute instability of the radial front of displacement. The appearance of isolated fingers are clearly observed in numerical simulations.

Key words: Hele-Shaw cell, viscous fingers, radial displacement.

UDC: 532.546

Received: 20.04.2015

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2016, 71:4, 77–81

Bibliographic databases:

• 
•