Double Azeotropy: calculations with Newton-like methods and continuous GRASP (C-GRASP) Online publication date: Thu, 26-Mar-2015
by Aline De Lima Guedes; Francisco Duarte Moura Neto; Gustavo Mendes Platt
International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO), Vol. 2, No. 4, 2011
Abstract: Azeotropy is a thermodynamic phenomenon where a boiling liquid produces a vapour with identical composition. This situation is a challenge for separation engineering, since distillation processes explore the differences among relative volatilities and, thus, an azeotrope can be a barrier for the separation. In binary mixtures, the azeotropy calculation problem is characterised by a 2 × 2 non-linear system with pressure or temperature and a molar fraction as unknowns. An interesting and rare case is the so-called double azeotropy, when this non-linear system has two solutions, corresponding to two distinct azeotropes. In this paper, we present some numerical aspects of double azeotropy using classical approaches (Newton's methods with globalisation techniques) and a new non-linear optimisation algorithm (the C-GRASP method).
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