Controlling Viscous Fingering Using Time-Dependent Strategies.

TitleControlling Viscous Fingering Using Time-Dependent Strategies.
Publication TypeJournal Article
Year of Publication2015
AuthorsZheng, Z, Kim, H, Stone, HA
JournalPhys Rev Lett
Volume115
Issue17
Pagination174501
Date Published2015 Oct 23
ISSN1079-7114
Abstract

<p>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)=b(1)t(1/7). 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.</p>

DOI10.1103/PhysRevLett.115.174501
Alternate JournalPhys. Rev. Lett.
PubMed ID26551117