A lattice Boltzmann method for simulation of liquid–vapor phase-change heat transfer

A lattice Boltzmann model for the liquid–vapor phase change heat transfer is proposed in this paper. Two particle distribution functions, namely the density distribution function and the temperature distribution function, are used in this model. A new form of the source term in the energy equation is derived and the modified pseudo-potential model is used in the proposed model to improve its numerical stability. The commonly used Peng–Robinson equation of state is incorporated into the proposed model. The problem of bubble growth and departure from a horizontal surface is solved numerically based on the proposed model.

[1]  Huiying Wu,et al.  Mesoscale and Microscale Phase-Change Heat Transfer , 2006 .

[2]  S. Welch,et al.  A Volume of Fluid Based Method for Fluid Flows with Phase Change , 2000 .

[3]  A. L. Kupershtokh,et al.  Lattice Boltzmann equation method in electrohydrodynamic problems , 2006 .

[4]  Q. Zou,et al.  On pressure and velocity boundary conditions for the lattice Boltzmann BGK model , 1995, comp-gas/9611001.

[5]  P. Cheng,et al.  Lattice Boltzmann simulation of droplet formation in microchannels under an electric field , 2010 .

[6]  Takaji Inamuro,et al.  A Lattice Boltzmann Method for a Binary Miscible Fluid Mixture and Its Application to a Heat-Transfer Problem , 2002 .

[7]  Gábor Házi,et al.  On the bubble departure diameter and release frequency based on numerical simulation results , 2009 .

[8]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[9]  Shuai Gong,et al.  Numerical investigation of droplet motion and coalescence by an improved lattice Boltzmann model for phase transitions and multiphase flows , 2012 .

[10]  Jocelyn Bonjour,et al.  Experimental analysis of bubble growth, departure and interactions during pool boiling on artificial nucleation sites , 2008 .

[11]  Chen,et al.  Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  V. Carey.  Liquid-Vapor Phase-Change Phenomena: An Introduction to the Thermophysics of Vaporization and Condensation Processes in Heat Transfer Equipment, Third Edition , 2020 .

[13]  Chuguang Zheng,et al.  A coupled lattice BGK model for the Boussinesq equations , 2002 .

[14]  Shan,et al.  Lattice Boltzmann model for simulating flows with multiple phases and components. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  Y. Qian,et al.  Lattice BGK Models for Navier-Stokes Equation , 1992 .

[16]  Vijay K. Dhir,et al.  Numerical Simulation of Saturated Film Boiling on a Horizontal Surface , 1997 .

[17]  J. Sethian,et al.  Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .