Helmholtz function-based global phase stability test and its link to the isothermal-isochoric flash problem

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19 Citations (Scopus)

Abstract

The global phase stability test is formulated based on the Helmholtz function. The corresponding phase stability function is minimized and, if the system is found to be unstable, the initial estimates for the properties of the incipient phase are such that the system's Helmholtz function after its incipient partition is smaller than before the partition. This ensures trivial solutions are avoided in flash problems with specifications of temperature, volume, and component mole numbers. Also, there is no need for reformulation of the thermodynamic model as in procedures proposed earlier for similar purposes. The procedure succeeded in the stability analysis of several situations previously used as test cases in the literature.

Original languageEnglish
Pages (from-to)104-111
Number of pages8
JournalFluid Phase Equilibria
Volume379
DOIs
Publication statusPublished - 15 Oct 2014

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stability tests
Phase stability
flash
partitions
specifications
Thermodynamics
Specifications
thermodynamics
estimates
Temperature
temperature

Keywords

  • Constant volume flash
  • Helmholtz function
  • Isochoric flash
  • Phase stability
  • Tangent plane criterion

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Physical and Theoretical Chemistry
  • Physics and Astronomy(all)

Cite this

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abstract = "The global phase stability test is formulated based on the Helmholtz function. The corresponding phase stability function is minimized and, if the system is found to be unstable, the initial estimates for the properties of the incipient phase are such that the system's Helmholtz function after its incipient partition is smaller than before the partition. This ensures trivial solutions are avoided in flash problems with specifications of temperature, volume, and component mole numbers. Also, there is no need for reformulation of the thermodynamic model as in procedures proposed earlier for similar purposes. The procedure succeeded in the stability analysis of several situations previously used as test cases in the literature.",
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AU - Castier, Marcelo

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AB - The global phase stability test is formulated based on the Helmholtz function. The corresponding phase stability function is minimized and, if the system is found to be unstable, the initial estimates for the properties of the incipient phase are such that the system's Helmholtz function after its incipient partition is smaller than before the partition. This ensures trivial solutions are avoided in flash problems with specifications of temperature, volume, and component mole numbers. Also, there is no need for reformulation of the thermodynamic model as in procedures proposed earlier for similar purposes. The procedure succeeded in the stability analysis of several situations previously used as test cases in the literature.

KW - Constant volume flash

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KW - Phase stability

KW - Tangent plane criterion

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