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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Link to published version:: 10.1103/PhysRevE.57.514

Abstract

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: Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
Identification Number: 10.1103/PhysRevE.57.514
Depositing User: Hilary Ridgway
Date Deposited: 14 Apr 2010 10:23
Last Modified: 29 Sep 2010 10:58
URI: http://shura.shu.ac.uk/id/eprint/1631

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