Sidebranching of the Saffman-Taylor finger
- 1 October 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 34 (4) , 3535-3538
- https://doi.org/10.1103/physreva.34.3535
Abstract
We have investigated the origin of sidebranching in interfacial dynamics by considering the growth of a Saffman-Taylor finger with anisotropy. We find that in the absence of noise there are no sidebranches. White noise and periodic noise produce well-defined sidebranching.Keywords
This publication has 7 references indexed in Scilit:
- Noise-Driven Sidebranching in the Boundary-Layer Model of Dendritic SolidificationPhysical Review Letters, 1986
- Diffusion-limited aggregation as a deterministic growth processPhysical Review A, 1985
- Experimental Demonstration of the Role of Anisotropy in Interfacial Pattern FormationPhysical Review Letters, 1985
- Numerical simulation of two-dimensional snowflake growthPhysical Review A, 1984
- Boundary-layer model of pattern formation in solidificationPhysical Review A, 1984
- 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