A multi-component discrete Boltzmann model for nonequilibrium reactive flows

Abstract

We propose a multi-component discrete Boltzmann model (DBM) for premixed, nonpremixed, or partially premixed nonequilibrium reactive flows. This model is suitable for both subsonic and supersonic flows with or without chemical reaction and/or external force. A two-dimensional sixteen-velocity model is constructed for the DBM. In the hydrodynamic limit, the DBM recovers the modified Navier-Stokes equations for reacting species in a force field. Compared to standard lattice Boltzmann models, the DBM presents not only more accurate hydrodynamic quantities, but also detailed nonequilibrium effects that are essential yet long-neglected by traditional fluid dynamics. Apart from nonequilibrium terms (viscous stress and heat flux) in conventional models, specific hydrodynamic and thermodynamic nonequilibrium quantities (high order kinetic moments and their departure from equilibrium) are dynamically obtained from the DBM in a straightforward way. Due to its generality, the developed methodology is applicable to a wide range of phenomena across many energy technologies, emissions reduction, environmental protection, mining accident prevention, chemical and process industry.

13 Pages, 10 Figures

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• Morphological and non-equilibrium analysis of coupled Rayleigh-Taylor-Kelvin-Helmholtz instability
• Multiple-relaxation-time discrete Boltzmann modeling of multicomponent mixture with nonequilibrium effects
• Cascaded lattice Boltzmann method for incompressible thermal flows with heat sources and general thermal boundary conditions
• Discrete Boltzmann modeling of high-speed compressible flows with various depths of non-equilibrium
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• Half-range lattice Boltzmann models for the simulation of Couette flow using the Shakhov collision term
• Nonequilibrium effects of reactive flow based on gas kinetic theory
• Two-fluid discrete Boltzmann model for compressible flows: based on Ellipsoidal Statistical Bhatnagar-Gross-Krook
• A One-Dimensional Discrete Boltzmann Model for Detonation and an Abnormal Detonation Phenomenon
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• Comparative study of discrete Boltzmann model and Navier-Stokes
• Investigating the Effect of Relaxation Time on Richtmyer-Meshkov Instability under Reshock Impact: A Two-Component Discrete Boltzmann Method Study
• Comparative Study on Several Criteria for Non-equilibrium Phase Separation