Distillation Theory and its Application to Optimal Design of Separation Units

5.4. Structure and Evolution of Section Trajectory Bundles for Three-Component Mixtures

5.4. Structure and Evolution of Section Trajectory Bundles for Three-Component Mixtures

To understand the structure of section trajectory bundles for multicomponent mixtures and their evolution with the increase of reflux number, let s examine first three-component mixtures, basing on the regularities of distillation trajectory tear-off at finite reflux and the regularities of location of reversible distillation trajectories.

We limit ourselves by examination, mostly, only of the top section in vies of symmetry of the distillation process and we use the parameter L/ V instead of R (Petlyuk & Danilov, 1998).

5.4.1. The Product Is a Pure Component (k = 1)

The pure component is a separation product of three-component mixture at direct and indirect splits (1 : 2,3 or 1,2 : 3) if this component is the lightest or the heaviest one (i.e., if component point is node point of concentration triangle).

Let s examine, first, the ideal mixture ( K 1 > K 2 > K 3, x D 1 = 1; Fig. 5.11). We gradually increase the parameter L/ V. At L/ V < ( is phase equilibrium coefficient of component 3 in vertex 1) Eq. (5.9) is not valid for sides 1-2 and 1-3 adjacent with vertex 1. Therefore, vertex 1 is the stable node N + (Fig. 5.11a) (i.e., it can not be distillation product point). At such values of the parameter L/ V the process, opposite to distillation process, the process...

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