Growth morphology and symmetry selection of interfacial instabilities in anisotropic environments
Name
d0sm01706j.pdf
Description
Published version
Size
4.6 MB
Format
Adobe PDF
Checksum (MD5)
c5782ed812319ea273b9f840131f929f
Author(s)
Zhang, Qing
Amooie, Amin
Bazant, Martin Z
Bischofberger, Irmgard
Date Issued
2021
Journal
Soft Matter
Publisher
Royal Society of Chemistry (RSC)
Version
Final published version
Abstract
The displacement of a fluid by another less viscous one in a quasi-two dimensional geometry typically leads to complex fingering patterns. In an isotropic system, dense-branching growth arises, which is characterized by repeated tip-splitting of evolving fingers. When anisotropy is present in the interfacial dynamics, the growth morphology changes to dendritic growth characterized by regular structures. We introduce anisotropy by engraving a six-fold symmetric lattice of channels on a Hele-Shaw cell. We show that the morphology transition in miscible fluids depends not only on the previously reported degree of anisotropy set by the lattice topography, but also on the viscosity ratio between the two fluids,η /η . Remarkably,η /η and the degree of anisotropy also govern the global features of the dendritic patterns, inducing a systematic change from six-fold towards twelve-fold symmetric dendrites. Varying either control parameter provides a new method to tune the symmetry of complex patterns, which may also have relevance for analogous phenomena of gradient-driven interfacial dynamics, such as directional solidification or electrodeposition. in out in out
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Department of Chemical Engineering
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution 4.0 International license
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DOI of Published Version
https://doi.org/10.1039/d0sm01706j
