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
