Perturbing Hele-Shaw flow with a small gap gradient
Journal Article
·
· Physical Review A. General Physics; (United States)
- Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 (United States)
A controlled perturbation is introduced into the Saffman-Taylor flow problem by adding a gradient to the gap of a Hele-Shaw cell. The stability of the single-finger steady state was found to be strongly affected by such a perturbation. Compared with patterns in a standard Hele-Shaw cell, the single Saffman-Taylor finger was stabilized or destabilized according to the sign of the gap gradient. While a linear stability analysis shows that this perturbation should have a negligible effect on the early-stage pattern formation, the experimental data indicate that the characteristic length for the initial breakup of a flat interface has been changed by the perturbation.
- DOE Contract Number:
- FG02-84ER45131
- OSTI ID:
- 7205826
- Journal Information:
- Physical Review A. General Physics; (United States), Vol. 45:4; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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