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VOL. 13 | 2012 Analytic Description of the Viscous Fingering Interface in a Hele-Shaw Cell
Peter Djondjorov, Vassil Vassilev, Mariana Hadzhilazova, Ivaïlo Mladenov

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

Abstract

The determination of the interface shape between two fluids during the process of viscous fingering (Saffman--Taylor instability) in a Hele-Shaw cell is addressed here. The parametric equations describing this interface are obtained in an explicit analytic form. With these results, a number of interface shapes are presented, including shapes with opposite sides in contact that are considered as the onset of droplet pinch-off.

Information

Published: 1 January 2012
First available in Project Euclid: 13 July 2015

zbMATH: 1382.76066
MathSciNet: MR3087966

Digital Object Identifier: 10.7546/giq-13-2012-107-113

Rights: Copyright © 2012 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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