Suppression of viscous fluid fingering: a piecewise constant-injection process

Details Suppression of viscous fluid fingering: a piecewise constant-injection process Suppression of viscous fluid fingering: a piecewise constant-injection process

2010-12-13

arxiv.org/abs/1012.2746v1

Physics

Condensed Matter

Soft Condensed Matter

Published in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.82.067301

The injection of a fluid into another of larger viscosity in a Hele-Shaw cell usually results in the formation of highly branched patterns. Despite the richness of these structures, in many practical situations such convoluted shapes are quite undesirable. In this letter we propose an efficient and easily reproducible way to restrain these instabilities based on a simple piecewise constant pumping protocol. It results in a reduction in the size of the viscous fingers by one order of magnitude.

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