Finger breakup in Hele–Shaw cells
- 1 January 1985
- journal article
- letter
- Published by AIP Publishing in Physics of Fluids
- Vol. 28 (8) , 2313
- https://doi.org/10.1063/1.865286
Abstract
It is shown that a boundary integral simulation of fingering in Hele–Shaw cells generates patterns of finger breakup similar to those observed experimentally at low values of reciprocal capillary number τ. It is also shown that, when random noise is introduced in the interface position at a value of τ for which a stable finger would otherwise occur, similar patterns of finger breakup are generated. This supports the hypothesis that the observed behavior is caused by a nonlinear instability driven by experimental or numerical noise at very low values of τ.Keywords
This publication has 3 references indexed in Scilit:
- The instability of long fingers in Hele–Shaw flowsPhysics of Fluids, 1985
- Fractal growth viscous fingers: quantitative characterization of a fluid instability phenomenonNature, 1985
- The effect of surface tension on the shape of fingers in a Hele Shaw cellJournal of Fluid Mechanics, 1981