Title

Distillation boundaries in four component mixtures

Document Type

Conference Proceeding

Date of Original Version

12-1-2007

Abstract

Distillation boundaries for four component mixtures that exhibit azeotropy are investigated. The first rigorous demonstration that distillation boundaries for four component mixtures correspond to local maxima in surface areas under conditions of Levi-Civita parallelism is presented. A novel triangulation procedure for measuring surface areas; a rigorous optimization formulation for finding local maxima in surface areas subject to residue curve, stable node, and Levi-Civita constraints; a numerical optimization algorithm for determining local maxima in surface areas by repeatedly computing maximum line integrals or distances in one spherical coordinate over a set of initial conditions that span the range of the second spherical coordinate; an outline of a rigorous proof that distillation boundaries for four component mixtures correspond to local maxima in surface area subject to conditions of Levi-Civita parallelism; and a description of the way in which theoretical and algorithmic results for four component mixtures can be extended to mixtures with five or more components are described. This is an abstract of a paper presented at the AIChE Annual Meeting (Salt Lake City, UT 11/4-9/2007).

Publication Title

2007 AIChE Annual Meeting

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