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Controlling Viscous Fingering Using Time-Dependent Strategies.

Zhong Zheng1, Hyoungsoo Kim1, Howard A Stone1

  • 1Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA.

Physical Review Letters
|November 10, 2015
PubMed
Summary
This summary is machine-generated.

Researchers demonstrate a novel time-dependent control strategy to stabilize viscous fingering in Hele-Shaw cells. By adjusting the gap thickness, they can either suppress instability or maintain stable, nonsplitting viscous fingers during fluid displacement.

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Area of Science:

  • Fluid Dynamics
  • Multiphase Flow
  • Non-Newtonian Fluid Mechanics

Background:

  • Viscous fingering is a common instability in pressure-driven multiphase flows.
  • Controlling this instability is crucial for various industrial applications.
  • Hele-Shaw cells are standard experimental models for studying fluid instabilities.

Purpose of the Study:

  • To investigate a time-dependent control strategy for viscous fingering.
  • To explore the manipulation of gap thickness in a Hele-Shaw cell for flow stabilization.
  • To achieve either complete suppression or controlled formation of viscous fingers.

Main Methods:

  • Theoretical analysis using linear stability.
  • Experimental investigation in a lifting Hele-Shaw cell.
  • Applying a power-law form for time-dependent gap thickness: b(t)=b(1)t(1/7).

Main Results:

  • Experimental results show excellent quantitative agreement with theoretical predictions.
  • A single time-independent control parameter effectively manages the instability.
  • Demonstrated ability to either totally suppress viscous fingering or maintain stable, nonsplitting fingers.

Conclusions:

  • Time-dependent control of gap thickness offers an effective method to stabilize viscous fingering.
  • This strategy can be extended to other parameters like injection rate and fluid properties.
  • The findings have implications for optimizing multiphase flow processes.