Lattice Boltzmann method for the fluid saturation density based on the volume translated Peng-Robinson equation of state

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Abstract

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.

Keywords lattice Boltzmann liquid vapor flow equation of state volume translation saturation density

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Issue Date: 15 May 2014

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	Qi MIN
	Yuanyuan DUAN
	Xiaodong WANG

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Qi MIN,Yuanyuan DUAN,Xiaodong WANG. Lattice Boltzmann method for the fluid saturation density based on the volume translated Peng-Robinson equation of state[J]. Journal of Tsinghua University(Science and Technology), 2014, 54(5): 619-623.

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http://jst.tsinghuajournals.com/EN/ OR http://jst.tsinghuajournals.com/EN/Y2014/V54/I5/619

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