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Article
Control of Viscous Fingering Patterns in a Radial Hele-Shaw Cell
Physical Review Letters
  • Shuwang Li
  • John S. Lowengrub
  • Jake Fontana
  • Peter Palffy-Muhoray, Kent State University - Kent Campus
Publication Date
1-1-2009
Document Type
Article
DOI
10.1103/PhysRevLett.102.174501
Keywords
  • sector geometry,
  • surface-tension,
  • crystal-growth,
  • selection,
  • liquid,
  • Instability
Disciplines
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

Citation Information
Shuwang Li, John S. Lowengrub, Jake Fontana and Peter Palffy-Muhoray. "Control of Viscous Fingering Patterns in a Radial Hele-Shaw Cell" Physical Review Letters Vol. 102 Iss. 17 (2009)
Available at: http://works.bepress.com/peter_palffy-muhoray/31/