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Electrokinetic Control of Viscous Fingering

Author(s)
Mirzadeh, Seyed Mohammad; Bazant, Martin Z
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Abstract
We present a theory of the interfacial stability of two immiscible electrolytes under the coupled action of pressure gradients and electric fields in a Hele-Shaw cell or porous medium. Mathematically, our theory describes a phenomenon of “vector Laplacian growth,” in which the interface moves in response to the gradient of a vector-valued potential function through a generalized mobility tensor. Physically, we extend the classical Saffman-Taylor problem to electrolytes by incorporating electrokinetic (EK) phenomena. A surprising prediction is that viscous fingering can be controlled by varying the injection ratio of electric current to flow rate. Beyond a critical injection ratio, stability depends only upon the relative direction of flow and current, regardless of the viscosity ratio. Possible applications include porous materials processing, electrically enhanced oil recovery, and EK remediation of contaminated soils.
Date issued
2017-10
URI
http://hdl.handle.net/1721.1/112439
Department
Massachusetts Institute of Technology. Department of Chemical Engineering; Massachusetts Institute of Technology. Department of Mathematics
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Mirzadeh, Mohammad and Bazant, Martin Z. "Electrokinetic Control of Viscous Fingering." Physical Review Letters 119, 17: 174501 © 2017 American Physical Society
Version: Final published version
ISSN
0031-9007
1079-7114

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