Two-dimensional hydrodynamic lattice-gas simulations of binary immiscible and ternary amphiphilic fluid flow through porous media

@article{Maillet2000TwodimensionalHL,
  title={Two-dimensional hydrodynamic lattice-gas simulations of binary immiscible and ternary amphiphilic fluid flow through porous media},
  author={Maillet and Coveney},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  year={2000},
  volume={62 2 Pt B},
  pages={
          2898-913
        }
}
  • Maillet, Coveney
  • Published 16 May 2000
  • Chemistry
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
The behavior of two-dimensional binary and ternary amphiphilic fluids under flow conditions is investigated using a hydrodynamic lattice-gas model. After the validation of the model in simple cases (Poiseuille flow, Darcy's law for single component fluids), attention is focused on the properties of binary immiscible fluids in porous media. An extension of Darcy's law which explicitly admits a viscous coupling between the fluids is verified, and evidence of capillary effects is described. The… 
Imbibition in disordered media
The physics of liquids in porous media gives rise to many interesting phenomena, including imbibition where a viscous fluid displaces a less viscous one. Here we discuss the theoretical and
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  • B. Boghosian, P. Coveney, P. Love
  • Computer Science
    Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2000
TLDR
A three–dimensional hydrodynamic lattice–gas model of amphiphilic fluids is described, and the phenomenological properties of the model are reported, which confirm that it correctly captures binary oil–water and surfactant–water behaviour, as well as the complex phase behaviour of ternary amphiphobic fluids.
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  • 2002
We show that the flux–field expansion derived by Boghosian & Coveney for the Rothman–Keller immiscible fluid model can be derived in a simpler and more general way in terms of the completely
Macroscopic capillarity and hysteresis for flow in porous media.
  • R. Hilfer
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    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2006
A macroscopic theory for capillarity in porous media is presented, challenging the established view that capillary pressure and relative permeability are constitutive parameter functions. The
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