Viscous fingering: A singularity in Laplacian growth models
- 1 May 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 51 (5) , R3819-R3822
- https://doi.org/10.1103/physreve.51.r3819
Abstract
The η model in the linear or radial geometry is investigated numerically. It turns out that the main characteristics of the viscous fingering instability (η=1) at vanishing capillary number such as the λ=1/2 limit are not recovered. For η≠1, the selected finger width decreases with the capillary parameter, indicating the formation of needlelike structures.Keywords
This publication has 26 references indexed in Scilit:
- Analytic theory for the selection of a symmetric Saffman–Taylor finger in a Hele–Shaw cellPhysics of Fluids, 1987
- Development of radial fingering patternsPhysical Review A, 1987
- Viscous Fingering in Porous MediaAnnual Review of Fluid Mechanics, 1987
- Viscous fingering in Hele-Shaw cellsJournal of Fluid Mechanics, 1986
- Viscous flows in two dimensionsReviews of Modern Physics, 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
- 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