Lattice Boltzmann study of two-phase hydrocarbon fluids based on Peng–Robinson free energy model

Xuguang Yang and Lei Wang ()
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Xuguang Yang: School of Mathematics and Computational Science, Hunan First Normal University, Changsha 410205, P. R. China
Lei Wang: School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, P. R. China

International Journal of Modern Physics C (IJMPC), 2018, vol. 29, issue 11, 1-14

Abstract: In this paper, a lattice Boltzmann (LB) model is presented to study the two-phase hydrocarbon fluid systems. Based on the Peng–Robinson (P–R) free energy model, a Cahn–Hilliard type equation is derived to describe the interfacial properties. In the corresponding LB method, the gradient contribution of chemical potential is treated as source term, while the homogeneous part is put in the equilibrium distribution function, which guarantees its scale order in the Chapman–Enskog analysis. In the numerical experiments, the realistic hydrocarbon components of propane are numerically studied by the presented LB model in three dimensions. The numerical results show that the predicted surface tension and capillary pressure are in good agreement with laboratory data.

Keywords: Two-phase flow; Peng–Robinson equation of state; Cahn–Hilliard equation; lattice Boltzmann method (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0129183118501073

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