A consistency test for α-functions of cubic equations of state

This study highlights that α-functions used in cubic equations of state must be of class C2 i.e. that their first (dα/dT) and second (d2α/dT2) derivatives must exist and must be continuous, positive (α>0), monotonically decreasing (dα/dT0) and also verify d3α/dT3

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Bibliographic Details
Published in:Fluid phase equilibria 2016-11, Vol.427, p.513-538
Main Authors: Le Guennec, Yohann, Lasala, Silvia, Privat, Romain, Jaubert, Jean-Noël
Format: Article
Language:English
Subjects:
Alpha-function
Binary systems (materials)
Chemical and Process Engineering
Computational fluid dynamics
Consistency test
Consistency tests
Cubic equations
Derivatives
Engineering Sciences
Equation of state
Mathematical analysis
Phase diagrams
Phase equilibria
Reactive fluid environment
Soave
Twu
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Description
Summary:This study highlights that α-functions used in cubic equations of state must be of class C2 i.e. that their first (dα/dT) and second (d2α/dT2) derivatives must exist and must be continuous, positive (α>0), monotonically decreasing (dα/dT0) and also verify d3α/dT3
ISSN:0378-3812
1879-0224
DOI:10.1016/j.fluid.2016.07.026