Improved thermal lattice Boltzmann model for simulation of liquid-vapor phase change

Abstract

In this paper, an improved thermal lattice Boltzmann (LB) model is proposed for simulating liquid-vapor phase change, which is aimed at improving an existing thermal LB model for liquid-vapor phase change [S. Gong and P. Cheng, Int. J. Heat Mass Transfer 55, 4923 (2012)]. First, we emphasize that the replacement of \[{\left( {ρ{c_V}} \right)^{ - 1}}\nabla \cdot \left( {λ\nabla T} \right)\] with \[\nabla \cdot \left( {χ\nabla T} \right)\] is an inappropriate treatment for diffuse interface modeling of liquid-vapor phase change. Furthermore, the error terms ${\partial }_{t0}\left(Tv\right)+\nabla \cdot \left(Tvv\right)$, which exist in the macroscopic temperature equation recovered from the standard thermal LB equation, are eliminated in the present model through a way that is consistent with the philosophy of the LB method. In addition, the discrete effect of the source term is also eliminated in the present model. Numerical simulations are performed for droplet evaporation and bubble nucleation to validate the capability of the improved model for simulating liquid-vapor phase change. Numerical comparisons show that the aforementioned replacement leads to significant numerical errors and the error terms in the recovered macroscopic temperature equation also result in considerable errors.

arXiv comment27 pages, 7 figures

References in corpus (15)

• On pressure and velocity flow boundary conditions and bounceback for the lattice Boltzmann BGK model
• Simulation of non-ideal gases and liquid-gas phase transitions by lattice Boltzmann equation
• Lattice Boltzmann methods for multiphase flow and phase-change heat transfer
• Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model
• Simulation of Cavity Flow by the Lattice Boltzmann Method
• Lattice Boltzmann modeling of boiling heat transfer: The boiling curve and the effects of wettability
• A Lattice Boltzmann method for simulations of liquid-vapor thermal flows
• Discrete Boltzmann modeling of multiphase flows: hydrodynamic and thermodynamic non-equilibrium effects
• Improved axisymmetric lattice Boltzmann scheme
• Convection in multiphase flows using Lattice Boltzmann methods
• Coupling lattice Boltzmann model for simulation of thermal flows on standard lattices
• A modified multiple-relaxation-time lattice Boltzmann model for convection-diffusion equation
• Dynamic van der Waals Theory of two-phase fluids in heat flow
• Lattice Boltzmann modeling of self-propelled Leidenfrost droplets on ratchet surfaces
• Effect of the forcing term in the pseudopotential lattice Boltzmann modeling of thermal flows

Cited by in corpus (7)

• Lattice Boltzmann modeling and simulation of forced-convection boiling on a cylinder
• Enhancement of nucleate boiling by combining the effects of surface structure and mixed wettability: A lattice Boltzmann study
• Improved three-dimensional thermal multiphase lattice Boltzmann model for liquid-vapor phase change
• A new thermal lattice Boltzmann model for liquid-vapor phase change
• Hybrid phase-change lattice Boltzmann simulation of the bubble nucleation and different boiling regimes of conjugate boiling heat transfer
• Study of boiling heat transfer on the wall with an improved hybrid lattice Boltzmann model
• Lattice Boltzmann simulations of the pool boiling curves above horizontal heaters with homogenous and heterogeneous wettability