Issue |
Europhys. Lett.
Volume 58, Number 4, May 2002
|
|
---|---|---|
Page(s) | 524 - 529 | |
Section | Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics | |
DOI | https://doi.org/10.1209/epl/i2002-00427-7 | |
Published online | 01 May 2002 |
Stick-slip instability for viscous fingering in a gel
1
Institut Charles Sadron (CNRS UPR22) - 6 rue Boussingault
67083 Strasbourg Cedex, France
2
Laboratoire de Physique Statistique (CNRS UMR 8550),
École Normale Supérieure
24 rue Lhomond, 75231 Paris Cedex 05, France
Received:
20
December
2001
Accepted:
4
March
2002
The growth dynamics of an air finger injected in a visco-elastic gel (a PVA/borax aqueous solution) is studied in a linear Hele-Shaw cell. Besides the standard Saffman-Taylor instability, we observe —with increasing finger velocities— the existence of two new regimes: (a) a stick-slip regime for which the finger tip velocity oscillates between 2 different values, producing local pinching of the finger at regular intervals; (b) a “tadpole” regime where a fracture-type propagation is observed. A scaling argument is proposed to interpret the dependence of the stick-slip frequency with the measured rheological properties of the gel.
PACS: 47.50.+d – Non-Newtonian fluid flows / 82.70.Gg – Gels and sols / 83.60.Wc – Flow instabilities
© EDP Sciences, 2002
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