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Title: Controlling Viscous Fingering Using Time-Dependent Strategies

Abstract

Control and stabilization of viscous fingering of immiscible fluids impacts a wide variety of pressure-driven multiphase flows. Here, we report theoretical and experimental results on 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 1t 1/7. Experimental results show good quantitative agreement with the predictions of linear stability analysis. Furthermore, 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 non-splitting viscous fingers during the fluid displacement process. Besides the gap thickness of a Hele-Shaw cell, in principle, time-dependent control strategies can also be placed on the injection rate, viscosity of the displaced fluid, and interfacial tensions between the two fluids.

Authors:
 [1];  [1];  [1]
+ Show Author Affiliations
  1. Princeton Univ., NJ (United States). Dept. of Mechanical and Aerospace Engineering
Publication Date:
Research Org.:
Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
OSTI Identifier:
1390174
Grant/Contract Number:  
SC0008598
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 115; Journal Issue: 17; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Stone, Howard, Zheng, Zhong, and Kim, Hyoungsoo. Controlling Viscous Fingering Using Time-Dependent Strategies. United States: N. p., 2015. Web. doi:10.1103/PhysRevLett.115.174501.
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Stone, Howard, Zheng, Zhong, & Kim, Hyoungsoo. Controlling Viscous Fingering Using Time-Dependent Strategies. United States. doi:10.1103/PhysRevLett.115.174501.
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Stone, Howard, Zheng, Zhong, and Kim, Hyoungsoo. Tue . "Controlling Viscous Fingering Using Time-Dependent Strategies". United States. doi:10.1103/PhysRevLett.115.174501. https://www.osti.gov/servlets/purl/1390174.
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@article{osti_1390174,
title = {Controlling Viscous Fingering Using Time-Dependent Strategies},
author = {Stone, Howard and Zheng, Zhong and Kim, Hyoungsoo},
abstractNote = {Control and stabilization of viscous fingering of immiscible fluids impacts a wide variety of pressure-driven multiphase flows. Here, we report theoretical and experimental results on 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. Furthermore, 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 non-splitting viscous fingers during the fluid displacement process. Besides the gap thickness of a Hele-Shaw cell, in principle, time-dependent control strategies can also be placed on the injection rate, viscosity of the displaced fluid, and interfacial tensions between the two fluids.},
doi = {10.1103/PhysRevLett.115.174501},
journal = {Physical Review Letters},
number = 17,
volume = 115,
place = {United States},
year = {2015},
month = {10}
}
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DOI:  10.1103/PhysRevLett.115.174501
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