A lattice Boltzmann model for multiphase fluid flows

A lattice Boltzmann equation method for simulating multiphase immiscible fluid flows with variation of density and viscosity, based on the model proposed by Gunstensen et al. for two‐component immiscible fluids [Phys. Rev. A 43, 4320 (1991)] is developed. The numerical measurements of surface tensio...

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Bibliographic Details
Published in:Physics of fluids. A, Fluid dynamics Fluid dynamics, 1993-10, Vol.5 (10), p.2557-2562
Main Authors: Grunau, Daryl, Chen, Shiyi, Eggert, Kenneth
Format: Article
Language:English
Subjects:
661300 - Other Aspects of Physical Science- (1992-)
BOLTZMANN EQUATION
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DENSITY
DIFFERENTIAL EQUATIONS
EQUATIONS
Exact sciences and technology
Fluid dynamics
FLUID FLOW
Fundamental areas of phenomenology (including applications)
General theory
MULTIPHASE FLOW
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
Physics
SURFACE PROPERTIES
SURFACE TENSION
VISCOSITY
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Summary:A lattice Boltzmann equation method for simulating multiphase immiscible fluid flows with variation of density and viscosity, based on the model proposed by Gunstensen et al. for two‐component immiscible fluids [Phys. Rev. A 43, 4320 (1991)] is developed. The numerical measurements of surface tension and viscosity agree well with theoretical predictions. Several basic numerical tests, including spinodal decomposition, two‐phase fluid flows in two‐dimensional channels, and two‐phase viscous fingering, are shown in agreement of experiments and analytical solutions.
ISSN:0899-8213
2163-5013
DOI:10.1063/1.858769