Nonequilibrium effects of reactive flow based on gas kinetic theory

Abstract

How to accurately probe chemically reactive flows with essential thermodynamic nonequilibrium effects is an open issue. Via the Chapman-Enskog analysis, the local nonequilibrium particle velocity distribution function is derived from the gas kinetic theory. It is demonstrated theoretically and numerically that the distribution function depends on the physical quantities and derivatives, and is independent of the chemical reactions directly. Based on the simulation results of the discrete Boltzmann model, the departure between equilibrium and nonequilibrium distribution functions is obtained and analyzed around the detonation wave. Besides, it has been verified for the first time that the kinetic moments calculated by summations of the discrete distribution functions are close to those calculated by integrals of their original forms.

References in corpus (10)

• Lattice Boltzmann methods for multiphase flow and phase-change heat transfer
• Discrete Boltzmann modeling of multiphase flows: hydrodynamic and thermodynamic non-equilibrium effects
• Discrete Boltzmann trans-scale modeling of high-speed compressible flows
• Multiple-relaxation-time lattice Boltzmann kinetic model for combustion
• Polar coordinate lattice Boltzmann modeling of compressible flows
• Lattice Boltzmann model for combustion and detonation
• A multi-component discrete Boltzmann model for nonequilibrium reactive flows
• Discrete Boltzmann modeling of Rayleigh-Taylor instability in two-component compressible flows
• Velocity distribution function and effective constant restitution coefficient for granular gas of viscoelastic particles
• Polar coordinate lattice Boltzmann kinetic modeling of detonation phenomena

Cited by in corpus (5)

• Discrete Boltzmann multi-scale modeling of non-equilibrium multiphase flows
• Advances in the kinetics of heat and mass transfer in near-continuous complex flows
• Discrete Boltzmann modeling of high-speed compressible flows with various depths of non-equilibrium
• Viscous effects on morphological and thermodynamic non-equilibrium characterizations of shock-bubble interaction
• Kinetic modeling of economic markets with heterogeneous saving propensities