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Self-similarity and coarsening rate of a convecting bicontinuous phase separating mixture: Effect of the viscosity contrast

Hervé Henry1 and György Tegze2

  • 1Laboratoire de Physique de la Matière Condense, École Polytechnique, CNRS, Université Paris-Saclay, F-91128 Palaiseau Cedex, France
  • 2Wigner Research Centre for Physics, P.O. Box 49, H-1525 Budapest, Hungary

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Phys. Rev. Fluids 3, 074306 – Published 30 July, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.074306

Abstract

We present a computational study of the hydrodynamic coarsening in three dimensions of a critical mixture using the Cahn-Hilliard/Navier-Stokes model. The topology of the resulting intricate bicontinuous microstructure is analyzed through the principal curvatures to prove self-similar morphological evolution. We find that the self-similarity exists for both systems: isoviscous and with variable viscosity. However, the two systems have a distinct topological character. Moreover, an effective viscosity that accurately predicts the coarsening rate is proposed.

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Phys. Rev. Fluids 3, 074306– Published 30 July, 2018
  • Received 5 May 2017
  • Revised 29 August 2017
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