What is it about?
A kinetic model for liquid-vapor phase separation is presented. The model is physically equivalent to a Navier-Stokes model supplemented by a coarse-grained model of the thermodynamic non-equilibrium behaviors. Some new observations are shown.
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Why is it important?
Owing to the existence of complex interparticle interactions at the microscopic level and nonlinear interfaces between various phases/components at the macroscopic level, the hydrodynamic non-equilibrium (HNE) and thermodynamic non-equilibrium (TNE) effects play a major role in shaping up the essential features of dynamic relaxation phenomena in multiphase flow systems. The HNE and the TNE show the features of the system in different aspects. The traditional Navier–Stokes model describes well the weak HNE, but encounters difficulties in describing the TNE. To this purpose, a model based on the Boltzmann equation is preferable.
Perspectives
The discrete Boltzmann model/method (DBM) will bring more new observations on various complex flows.
Professor Aiguo Xu
Institute of Applied Physics and Computational Mathematics, Beijing
Read the Original
This page is a summary of: Discrete Boltzmann modeling of multiphase flows: hydrodynamic and thermodynamic non-equilibrium effects, Soft Matter, January 2015, Royal Society of Chemistry,
DOI: 10.1039/c5sm01125f.
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Resources
Modeling and Simulation of Nonequilibrium and Multiphase Complex Systems : Lattice Boltzmann Kinetic Theory and Application
A brief review on lattice Boltzmann kinetic modeling and simulation of complex flows.
Lattice Boltzmann modeling and simulation of compressible flows
A brief review on lattice Boltzmann modeling of compressible flows. The initial idea to develop the LBM to access both the hydrodynamic and thermodynamic nonequilibrium behaviours is presented.
Multiple-relaxation-time lattice Boltzmann kinetic model for combustion
A kinetic model for combustion is presented. Mathematically, the model is composed of a multiple-relaxation-time (MRT) discrete Boltzmann equation and a phenomenological reaction rate equation. Physically, the model is equivalent to Navier-Stokes model supplemented by a coarese-grained model of the thermodynamic nonequilibrium (TNE) behaviours. It is found that the system viscosity (or heat conductivity) decreases the local TNE, but increases the global TNE around the detonation wave, that even locally, the system viscosity (or heat conductivity) results in two kinds of competing trends, to increase and to decrease the TNE effects.
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