Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
1999-12-16
Phys. Rev. E 61, 6632 (2000).
Physics
Condensed Matter
Soft Condensed Matter
12 pages, 3 figures. Submitted to PRE
Scientific paper
10.1103/PhysRevE.61.6632
We show that a minimal model for viscous fingering with a nematic liquid crystal in which anisotropy is considered to enter through two different viscosities in two perpendicular directions can be mapped to a two-fold anisotropy in the surface tension. We numerically integrate the dynamics of the resulting problem with the phase-field approach to find and characterize a transition between tip-splitting and side-branching as a function of both anisotropy and dimensionless surface tension. This anisotropy dependence could explain the experimentally observed (reentrant) transition as temperature and applied pressure are varied. Our observations are also consistent with previous experimental evidence in viscous fingering within an etched cell and simulations of solidification.
Casademunt Jaume
Folch Roger
Hernandez-Machado Aurora
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