Abstract
A new lattice Boltzmann model based on SC model, is proposed to describe the liquid-vapor phase transitions. The new model is validated through the simulation of the one-component phase transition process. Compared with the simulation results of van der Waals gas and the Maxwell equal-area construction, the results of the new model have a better agreement with the analytical solutions than those of SC and Zhang models. Since the obtained temperature range and the maximum density ratio in this model are expanded, and the magnitude of maximum spurious current is only between those of SC and Zhang models, it is believed that this new model has better stability than SC and Zhang models. Consequently, the application scope of this new model is expanded compared with the existing phase transition models. According to the principle of the corresponding states in engineering thermodynamics, the simulations of ammonia and water phase transition process were implemented using this new model with different equations of state. Compared with the experimental data of ammonia and water, the results show that the Peng-Robinson is the best equation of state to describe the phase transition process of ammonia and water. Especially, the simulation results of ammonia with Peng-Robinson equation of state have an excellent agreement with its experimental data. Therefore these simulation results have a significant influence on the real engineering applications.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Guo Z L, Zheng C G, Li Q, et al. Lattice Boltzmann Method For Hydrodynamics (in Chinese). Wuhan: Hubei Technology Press, 2002
Zeng J B, Li L J, Liao Q. et al. Simulation of boiling process with lattice Boltzmann method. J **’an JiaoTong Univ, 2009, 43: 28–32
Huang W F, Li Y, Liu Q S. Application of the lattice Boltzmann method to electrohydrodynamics: Deformation and instability of liquid drops in electrostatic fields. Chinese Sci Bull, 2007, 52: 3319–3324
Shan X W, Chen H D. Lattice Boltzmann model for simulating flows with multiple phases and components. Phys Rev E, 1993, 47: 1815–1820
Sankaranarayanan K, Shan X W, Kevrekidis I G, et al. Analysis of drag and virtual mass forces in bubbly suspensions using an implicit formulation of the lattice Boltzmann method. J Fluid Mech, 2002, 452: 61–96
Mayer G, Hazi G, Imre A R, et al. Lattice Boltzmann simulation of vapour-Liquid equilibrium on 3D finite lattice. Int J Mod Phys A, 2004, 15: 459–469
Zhao K, Li Q, Xuan Y M. Investigation on the three-dimensional multiphase conjugate conduction problem inside porous media with the lattice Boltzmann method. Sci China Ser E, 2009, 52: 2973–2980
Liu Z F, W X H. The permeability in two-dimensional percolation porous media. Prog Nat Sci, 2004, 14: 101–106
He Y L, Wang Y, Li Q. Lattice Boltzmann Method: Theory and Applications. Bei**g: Science Press, 2009
Li Z H, Zhang H X. Study on the unified algorithm for three-dimensional complex problems covering various flow regimes using Boltzmann model equation. Sci China Ser G, 2009, 52: 124–138
Wang Y W, Wang Y, An Y R, et al. Aerodynamic simulation of high-speed trains based on the lattice Boltzmann method (LBM). Sci China Ser E, 2008, 51: 624–631
Lai H L, Ma C F. A higher order lattice BGK model for simulating some nonlinear partial differential equations. Sci China Ser G, 2009, 52: 1053–1061
Guan H, Wu C J. Large-eddy simulations of turbulent flows with lattice Boltzmann dynamics and dynamical system sub-grid models. Sci China Ser E, 2009, 52: 670–679
Yuan P, Schaefer L. Equations of state in a lattice Boltzmann model. Phys Fluids, 2006, 18: 1–11
Zhang R Y, Chen H D. Lattice Boltzmann method for simulations of liquid-vapor thermal flows. Phys Rev E, 2003, 67: 1–6
Martys N S, Shan X W, Chen H D. Evaluation of the external force term in the discrete Boltzmann equation. Phys Rev E, 1998, 58: 6855–6857
Qian Y H, Chen S Y. Finite size effect in lattice-BGK models. Int J Mod Phys C, 1997, 8: 763–771
Guo Z L, Zheng C G. Theory and Applications of Lattice Boltzmann Method. Bei**g: Science Press, 2009
Qin R S. Mesoscopic interparticle potentials in the lattice Boltzmann equation for multiphase fluids. Phys Rev E, 2006, 73: 1–5
Zhao K, Li Q, Xuan Y M. Simulation of phase transition with lattice Boltzmann method. J Comput Phys, 2008, 25: 151–156
Swift M R, Orlandini E, Osborn W R, et al. Lattice Boltzmann simulations of liquid-gas and binary fluid systems. Phys Rev E, 1996, 54: 5041–5052
Shen W D, Jiang Z M, Tong J G. Engineering Theormodynamics (in Chinese). Bei**g: Higher Education Press, 2001
Yang S M, Tao W Q. Heat Transfer (in Chinese). Bei**g: Higher Education Press, 1998
Author information
Authors and Affiliations
Corresponding author
Additional information
Supported by the National Natural Science Foundation of China (Grant No. 50406012) and National Key Laboratory of Bubble Physics and Natural Circulation of NPIC (Grant Nos. 9140C710901090C71 and 9140C7101020802
About this article
Cite this article
Zeng, J., Li, L., Liao, Q. et al. Simulation of phase transition process using lattice Boltzmann method. Chin. Sci. Bull. 54, 4596–4603 (2009). https://doi.org/10.1007/s11434-009-0734-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11434-009-0734-x