Discrete set selection of Saffman–Taylor fingers
- 1 May 1987
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 30 (5), 1246-1249
- https://doi.org/10.1063/1.866290
Abstract
A study of the linear stability of the discrete set of steady‐state Saffman–Taylor finger solutions at finite surface tension is presented. It is shown by explicit computation that members of the set aside from the lowest width finger are linearly unstable. This completes the demonstration that finite surface tension effects determine uniquely the allowed interfacial pattern in the steady‐state regime.Keywords
This publication has 15 references indexed in Scilit:
- Stability of Dendritic CrystalsPhysical Review Letters, 1986
- Dendritic growth in a channelPhysical Review A, 1986
- Shape Selection of Saffman-Taylor FingersPhysical Review Letters, 1986
- Analytic Theory of the Selection Mechanism in the Saffman-Taylor ProblemPhysical Review Letters, 1986
- Velocity Selection and the Saffman-Taylor ProblemPhysical Review Letters, 1986
- Theory of the Saffman-Taylor ‘‘finger’’ pattern. IPhysical Review A, 1986
- A boundary-integral method for two-phase displacement in Hele-Shaw cellsJournal of Fluid Mechanics, 1986
- Stability of viscous fingeringPhysical Review A, 1986
- Stability of finger patterns in Hele-Shaw cellsPhysical Review A, 1985
- Numerical experiments on Hele Shaw flow with a sharp interfaceJournal of Fluid Mechanics, 1983