Publication Title

Physical Review Letters

Publication Date

2009

Document Type

Article

DOI

10.1103/PhysRevLett.102.174501

Keywords

sector geometry, surface-tension, crystal-growth, selection, liquid, Instability

Disciplines

Physics

Abstract

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.

Comments

Copyright 2009 American Physical Society. Available on publisher's site at http://dx.doi.org/10.1103/PhysRevLett.102.174501


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