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Synergetic Fluid Mixing from Viscous Fingering and Alternating Injection

Synergetic Fluid Mixing from Viscous Fingering and Alternating Injection We study mixing of two fluids of different viscosity in a microfluidic channel or porous medium. We show that the synergetic action of alternating injection and viscous fingering leads to a dramatic increase in mixing efficiency at high Péclet numbers. Based on observations from high-resolution simulations, we develop a theoretical model of mixing efficiency that combines a hyperbolic mixing model of the channelized region ahead and a mixing-dissipation model of the pseudosteady region behind. Our macroscopic model quantitatively reproduces the evolution of the average degree of mixing along the flow direction and can be used as a design tool to optimize mixing from viscous fingering in a microfluidic channel. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review Letters American Physical Society (APS)

Synergetic Fluid Mixing from Viscous Fingering and Alternating Injection

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References (45)

Publisher
American Physical Society (APS)
Copyright
© 2013 American Physical Society
ISSN
0031-9007
DOI
10.1103/PhysRevLett.111.144501
pmid
24138242
Publisher site
See Article on Publisher Site

Abstract

We study mixing of two fluids of different viscosity in a microfluidic channel or porous medium. We show that the synergetic action of alternating injection and viscous fingering leads to a dramatic increase in mixing efficiency at high Péclet numbers. Based on observations from high-resolution simulations, we develop a theoretical model of mixing efficiency that combines a hyperbolic mixing model of the channelized region ahead and a mixing-dissipation model of the pseudosteady region behind. Our macroscopic model quantitatively reproduces the evolution of the average degree of mixing along the flow direction and can be used as a design tool to optimize mixing from viscous fingering in a microfluidic channel.

Journal

Physical Review LettersAmerican Physical Society (APS)

Published: Oct 1, 2013

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