Macroscopic surface tension in a lattice Bhatnagar-Gross-Krook model of two immiscible fluids

HALLIDAY, I., THOMPSON, S. P. and CARE, C. M. (1998). Macroscopic surface tension in a lattice Bhatnagar-Gross-Krook model of two immiscible fluids. Physical Review E (PRE), 57 (1), 514-523.

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We present a method by which an interface generating algorithm, similar to that of earlier lattice Boltzmann models of immiscible fluids, may be extended to a two component, two-speed two-dimensional (D2), nine-link (Q9) lattice Bhatnagar-Gross-Krook fluid. For two-dimensional, microcurrent-free planar interfaces between the two immiscible fluids we derive expressions for static interfacial tensions and interfacial distributions of the two fluids. Extending our analysis to curved interfaces, we propose a scheme for incorporating the influence of interfacial microcurrents that is based upon general symmetry arguments and is correct to second order in lattice velocity. The analysis demonstrates that the interfacial microcurrents have only second-order influence upon the macroscopic behavior of the model. We find good agreement between our calculations and simulation results based on the microcurrent stream function and surface tension results from the pressure tensor or Laplace law.

Item Type: Article
Research Institute, Centre or Group - Does NOT include content added after October 2018: Materials and Engineering Research Institute > Modelling Research Centre > Materials Modelling group
Identification Number:
Page Range: 514-523
Depositing User: Hilary Ridgway
Date Deposited: 14 Apr 2010 09:23
Last Modified: 18 Mar 2021 09:30

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