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Current multi-component, multiphase pseudo-potential lattice Boltzmann modelshave thermodynamic inconsistencies that prevent them to correctly predict thethermodynamic phase behavior of partially miscible multi-component mixtures,such as hydrocarbon mixtures. This paper identifies these inconsistencies andattempts to design a thermodynamically consistent multi-component, multiphasepseudo-potential lattice Boltzmann model that allows mass transfer across thephase interfaces and is capable to predict the phase behavior of typicallypartially miscible hydrocarbon mixtures. The designed model defines the totalinteraction force for the entire phase and split the force into individualcomponents. Through a properly derived force split factor associated with thevolatility of each component, the model can achieve precise thermodynamicconsistency in multi-component hydrocarbon mixtures, which is described by theiso-fugacity rule.

A thermodynamically consistent pseudo-potential lattice Boltzmann model for multi-component, multiphase, partially miscible mixtures