Viscous fingering in liquid crystals: anisotropy and morphological transitions

@article{Folch1999ViscousFI,
  title={Viscous fingering in liquid crystals: anisotropy and morphological transitions},
  author={Folch and Casademunt and Hern{\'a}ndez-Machado},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  year={1999},
  volume={61 6 Pt A},
  pages={
          6632-8
        }
}
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 twofold 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… 

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