Saffman-Taylor finger width at low interfacial tension
- 27 April 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 58 (17) , 1742-1744
- https://doi.org/10.1103/physrevlett.58.1742
Abstract
High-accuracy numerical results are shown which go against current conjecture that dimensionless finger width λ in the Saffman-Taylor problem is a monotonically increasing function of dimensionless surface tension τ, asymptotically approaching 1/2 as τ→0. Specifically, quasi steady-state fingers are shown for finite τ with λ significantly below 0.5. These solutions are consistent with published experimental results obtained in a Hele-Shaw cell, indicating that the Saffman-Taylor equations are sufficient to explain this phenomenon.Keywords
This publication has 8 references indexed in Scilit:
- Simulation of Hele-Shaw fingering with finite-capillary-number effects includedPhysical Review A, 1987
- Shape Selection of Saffman-Taylor FingersPhysical Review Letters, 1986
- Velocity Selection and the Saffman-Taylor ProblemPhysical Review Letters, 1986
- A boundary-integral method for two-phase displacement in Hele-Shaw cellsJournal of Fluid Mechanics, 1986
- Finger breakup in Hele–Shaw cellsPhysics of Fluids, 1985
- Fingers in a Hele–Shaw Cell with surface tensionPhysics of Fluids, 1983
- The effect of surface tension on the shape of fingers in a Hele Shaw cellJournal of Fluid Mechanics, 1981
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquidProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1958