Controlling radial fingering patterns in miscible confined flows

Ching-Yao Chen*, C. W. Huang, L. C. Wang, José A. Miranda

*Corresponding author for this work

Research output: Contribution to journalArticle

28 Scopus citations

Abstract

Injection-driven immiscible flow in radial Hele-Shaw cells results in highly ramified patterns if the injection rate is constant in time. Likewise, time-dependent gap immiscible flow in lifting Hele-Shaw cells leads to intricate morphologies if the cell's gap width grows exponentially with time. Recent studies show that the rising of these complex fingered structures can be controlled by properly adjusting the injection rate, and the time-dependent gap width. We investigate the effectiveness of these control strategies assuming that the fluids involved are miscible. Despite the absence of surface tension effects, intensive numerical simulations support the stabilizing role of these controlling protocols. Splitting, merging and competition of fingers are all inhibited. The sensitivity of the system to changes in the initial conditions and Péclet numbers is also discussed.

Original languageEnglish
Article number056308
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume82
Issue number5
DOIs
StatePublished - 11 Nov 2010

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