Abstract

ANGEL-MUESES, Miguel; LARA-RAMOS, José Antonio  and  MACHUCA-MARTINEZ, Fiderman. Solution of the Rachford - Rice equation by differential homotopy. Ing. compet. [online]. 2020, vol.22, n.2, 9504.  Epub Nov 30, 2020. ISSN 0123-3033.  https://doi.org/10.25100/iyc.v22i2.9504.

A numerical calculation structure based on a classical Differential Homotopy method coupled to Successive Substitution was proposed as a solution alternative for the generalized Rachford-Rice Equation (RR-G), applied in phase equilibrium calculation. The application and validation of the structure were initially tested using hypothetical systems of p-phases and N-components and after the DH-SS method was extended to three-phase real systems with multiple components in Vapor-Liquid-Liquid (EVLL), Vapor-Liquid-Solid (EVLS) and Liquid-Liquid-Liquid (ELLL) equilibria. The Euclidean Norm was considered as the convergence speed analysis parameter to compare the performance of method with Newton-Raphson-Broyden method, using a hypothetical initialization vector, finding that the proposed solution is stable and convergent for any type of starting vector. The convergence of DH-SS method is absolute, the prediction for the evaluated real systems is high and presented errors between 1.9% for ELLL and 15.47% for EVLL. These results shown the high effectivity of proposed method.

Keywords : Multicomponent mixtures; Numerical methods; Phase equilibria.

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