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Exploiting the Gibbs-Duhem equation in separation calculations

✍ Scribed by S. Venkataraman; Angelo Lucia


Publisher
American Institute of Chemical Engineers
Year
1986
Tongue
English
Weight
829 KB
Volume
32
Category
Article
ISSN
0001-1541

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✦ Synopsis


Various ways of building quasi-Newton matrix approximations that satisfy the special form of the Gibbs-Duhem equation are studied. Partition symmetry, the separability of the functions In y and In 4, and the method of iterated projections are used in order t o develop thermodynamically consistent matrix approximations with good secant information. Many examples are presented which show that exploiting the special form of the Gibbs-Duhem equation results in improved numerical performance. Ways of exploiting the Gibbs-Helmholtz equation in addition to the special form of Gibbs-Duhem equation, and thus the isobaric form of the Gibbs-Duhem equation, are also discussed.


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