Physical Review Letters
sector geometry, surface-tension, crystal-growth, selection, liquid, Instability
We study numerically and experimentally the dynamics and control of viscous fingering patterns in a circular Hele-Shaw cell. The nonlocality and nonlinearity of the system, especially interactions among developing fingers, make the emergent pattern difficult to predict and control. By controlling the injection rate of the less viscous fluid, we can precisely suppress the evolving interfacial instabilities. There exist denumerable attractive, self-similarly evolving symmetric, universal shapes. Experiments confirm the feasibility of the control strategy, which is summarized in a morphology diagram.
Li, Shuwang; Lowengrub, John S.; Fontana, Jake; and Palffy-Muhoray, Peter (2009). Control of Viscous Fingering Patterns in a Radial Hele-Shaw Cell. Physical Review Letters 102(17). doi: 10.1103/PhysRevLett.102.174501 Retrieved from https://digitalcommons.kent.edu/cpippubs/238