Abstract
An algorithm for the solution of the phase equilibrium problem at constant pressure and temperature ( P,T flash) is presented. The approach is based on the formulation of the phase stability problem as a dual optimisation problem that results from the minimisation of the Helmholtz free energy. The problem is solved in composition and volume space, which is especially suited to complex equations of state (EOS) that are higher than cubic functions in volume, and formulated in the Helmholtz free energy, such as SAFT (statistical associating fluid theory) [Chapman, W.G., Gubbins, K.E., Jackson, G. and Radosz, M. Ind. Eng. Chem. Res., 29 (1990), pp. 1709.]. With the proposed method, one is mathematically guaranteed to find all stable phases for multi-component systems with any number of fluid phases. Results are presented for the case of liquid-liquid equilibria in an asymmetric ternary system, modelled with a SAFT EOS.
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