Discrete Boltzmann method with Maxwell-type boundary condition for slip flow

Abstract

The rarefied effect of gas flow in microchannel is significant and cannot be well described by traditional hydrodynamic models. It has been know that discrete Boltzmann model (DBM) has the potential to investigate flows in a relatively wider range of Knudsen number because of its intrinsic kinetic nature inherited from Boltzmann equation. It is crucial to have a proper kinetic boundary condition for DBM to capture the velocity slip and the flow characteristics in the Knudsen layer. In this paper, we present a DBM combined with Maxwell-type boundary condition model for slip flow. The tangential momentum accommodation coefficient is introduced to implement a gas-surface interaction model. Both the velocity slip and the Knudsen layer under various Knudsen numbers and accommodation coefficients can be well described. Two kinds of slip flows, including Couette flow and Poiseuille flow, are simulated to verify the model. To dynamically compare results from different models, the relation between the definition of Knudsen number in hard sphere model and that in BGK model is clarified.

arXiv comment9 pages,9 figures. Comm. Theor. Phys.(Accepted)

References in corpus (7)

• Lattice Boltzmann methods for multiphase flow and phase-change heat transfer
• Kinetic boundary conditions in the lattice Boltzmann method
• Discrete unified gas kinetic scheme for all Knudsen number flows: II. Compressible case
• A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows IV: full Boltzmann and Model Equations
• Discrete Boltzmann modeling of multiphase flows: hydrodynamic and thermodynamic non-equilibrium effects
• Polar coordinate lattice Boltzmann modeling of compressible flows
• Molecular Dynamics Simulation of Strong Shock Waves Propagating in Dense Deuterium With the Effect of Excited Electrons

Cited by in corpus (6)

• Discrete Boltzmann method for non-equilibrium flows: based on Shakhov model
• 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
• Gaussian Lattice Boltzmann method and its applications to rarefied flows
• Nonequilibrium kinetics effects in Richtmyer-Meshkov instability and reshock processes
• A gas-surface interaction algorithm for discrete velocity methods in predicting rarefied and multi-scale flows: For Maxwell boundary model