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- W2495447411 abstract "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/dT<0), convex (d2α/dT2>0) and also verify d3α/dT3<0, for any value of the temperature T. Our proposed “consistency test for α-functions” gathers all these conditions. The non-respect of one of them can entail low-accuracy prediction of binary phase diagrams involving at least one supercritical compound (this statement is illustrated through the case-studies of the CO2-argon and CO2-decane systems) as well as improper variations of pure-component supercritical properties (h and cP) with respect to the temperature. Finally, an extensive study of the mostly used α-functions described in the open literature is performed and shows that all of them fail this test. Some component-dependent α-functions may however pass this test but only if mathematical constraints are added to their parameters." @default.
- W2495447411 created "2016-08-23" @default.
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- W2495447411 date "2016-11-01" @default.
- W2495447411 modified "2023-10-06" @default.
- W2495447411 title "A consistency test for α-functions of cubic equations of state" @default.
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- W2495447411 doi "https://doi.org/10.1016/j.fluid.2016.07.026" @default.
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