Controlling viscous fingering using time-dependent strategies

Zhong Zheng, Hyoungsoo Kim, Howard A. Stone

Research output: Contribution to journalArticle

26 Scopus citations

Abstract

Control and stabilization of viscous fingering of immiscible fluids impacts a wide variety of pressure-driven multiphase flows. We report theoretical and experimental results on a time-dependent control strategy by manipulating the gap thickness b(t) in a lifting Hele-Shaw cell in the power-law form b(t)=b1t1/7. Experimental results show good quantitative agreement with the predictions of linear stability analysis. By choosing the value of a single time-independent control parameter, we can either totally suppress the viscous fingering instability or maintain a series of nonsplitting viscous fingers during the fluid displacement process. In addition to the gap thickness of a Hele-Shaw cell, time-dependent control strategies can, in principle, also be placed on the injection rate, viscosity of the displaced fluid, and interfacial tension between the two fluids.

Original languageEnglish (US)
Article number174501
JournalPhysical review letters
Volume115
Issue number17
DOIs
StatePublished - Oct 20 2015

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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