Lattice Boltzmann method for the fluid saturation density based on the volume translated Peng-Robinson equation of state
Qi MIN1(),Yuanyuan DUAN2,Xiaodong WANG3
1. Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
2. Key Laboratory for Thermal Science and Power Engineering of the Ministry of Education, Tsinghua University, Beijing 100084, China
3. State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China
The lattice Boltzmann pseudo-potential model has few parameters for real fluids. In this study, the volume translated Peng-Robinson equation of state (MPR) was incorporated into the lattice Boltzmann pseudo-potential model with two parameters, the acentric factor and the critical compressibility, used to determine the real fluid parameters. The MPR was used to calculate the dimensionless liquid and vapor saturated densities of eight kinds of fluids with the results compared with the Peng-Robinson(PR) equation of state and experimental data. Both the MPR and the PR equation of state can accurately describe the dimensionless saturated vapor density. The simulation results for the saturated liquid density given by the MPR agree well with experimental data for simple non-polar fluids such as Ar, N2 and O2. For more complex fluids, the saturated liquid density simulated by both the MPR and the PR equation of state were not good, but the MPR result was better than the PR equation of state result. Generally speaking,the MPR gives better predictions than the PR equation of state for simulations of fluid saturated densities.
闵琪, 段远源, 王晓东. 格子Boltzmann模型结合MPR方程模拟流体饱和气液密度[J]. 清华大学学报（自然科学版）, 2014, 54(5): 619-623.
Qi MIN, Yuanyuan DUAN, Xiaodong WANG. Lattice Boltzmann method for the fluid saturation density based on the volume translated Peng-Robinson equation of state. Journal of Tsinghua University(Science and Technology), 2014, 54(5): 619-623.
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2014, Vol. 54 
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