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Mean-field free-energy approach to the lattice Boltzmann method for liquid-vapor and solid-fluid interfaces

Junfeng Zhang, Baoming Li, and Daniel Y. Kwok*

  • Nanoscale Technology and Engineering Laboratory, Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2G8

  • *Author to whom correspondence should be addressed. Tel: (780) 492-2791. Fax: (780) 492-2200. Electronic address: daniel.y.kwok@ualberta.ca
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Phys. Rev. E 69, 032602 – Published 31 March, 2004

DOI: https://doi.org/10.1103/PhysRevE.69.032602

Abstract

We present a lattice Boltzmann method (LBM) using a mean-field representation of the free energy for fluid systems. This free-energy approach provides more realistic contact angles and fluid density profiles near the vicinity of an impenetrable wall which cannot be easily obtained by other LBM schemes. Our method was tested against various criteria and the results are in good agreement with those from thermodynamics and molecular dynamics considerations. This mean-field approach to LBM can have an important implication on studies where the solid-fluid interactions are crucial to fluidic behaviors.

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Phys. Rev. E 69, 032602– Published 31 March, 2004
  • Received 31 May 2003

© 2004 American Physical Society

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