%0 Journal Article %1 Lemmon1999a %A Lemmon, Eric W. %A Tillner-Roth, Reiner %D 1999 %J Fluid Phase Equilibria %K 1999 Helmholtz equation-of-state fluid properties thermodynamic %N 1 %P 1 - 21 %R 10.1016/S0378-3812(99)00262-9 %T A Helmholtz energy equation of state for calculating the thermodynamic properties of fluid mixtures %U http://dx.doi.org/10.1016/S0378-3812(99)00262-9 %V 165 %X A new approach has been developed for calculating the properties of mixtures based on an equation of state explicit in reduced Helmholtz energy. This approach allows for the representation of the thermodynamic properties over a wide range of fluid states and is based on highly accurate equations of state for the pure components combined at the reduced temperature and density of the mixture. The reducing parameters used for temperature and density depend on composition. For simple mixtures (those that closely follow Raoult's law), a very accurate representation of all thermodynamic properties has been achieved with relatively simple functions. For nonideal mixtures, the reducing functions for density and temperature were modified, and a departure function was added to the equation of state. Generally, the model is able to represent liquid and vapor states with uncertainties of 0.1\% in density, 1\% in heat capacities and 1\% in bubble point pressures if experimental data of comparable uncertainties exist. Two applications of the mixture model concepts were developed independently by the authors in the United States and Germany over the same time period. These applications include the development of individual equations for each binary system and a generalization of the model which is valid for a wide variety of mixtures. The individual approaches are presented with an explanation of the similarities and differences. Although the paper focuses mainly on binary systems, some results for ternary mixtures are also presented.

@article{Lemmon1999a, abstract = {A new approach has been developed for calculating the properties of mixtures based on an equation of state explicit in reduced Helmholtz energy. This approach allows for the representation of the thermodynamic properties over a wide range of fluid states and is based on highly accurate equations of state for the pure components combined at the reduced temperature and density of the mixture. The reducing parameters used for temperature and density depend on composition. For simple mixtures (those that closely follow Raoult's law), a very accurate representation of all thermodynamic properties has been achieved with relatively simple functions. For nonideal mixtures, the reducing functions for density and temperature were modified, and a departure function was added to the equation of state. Generally, the model is able to represent liquid and vapor states with uncertainties of 0.1\% in density, 1\% in heat capacities and 1\% in bubble point pressures if experimental data of comparable uncertainties exist. Two applications of the mixture model concepts were developed independently by the authors in the United States and Germany over the same time period. These applications include the development of individual equations for each binary system and a generalization of the model which is valid for a wide variety of mixtures. The individual approaches are presented with an explanation of the similarities and differences. Although the paper focuses mainly on binary systems, some results for ternary mixtures are also presented.}, added-at = {2011-01-19T18:06:42.000+0100}, author = {Lemmon, Eric W. and Tillner-Roth, Reiner}, biburl = {https://www.bibsonomy.org/bibtex/27b284e01df455378f70b4bd390dce243/thorade}, description = {ScienceDirect - Fluid Phase Equilibria : A Helmholtz energy equation of state for calculating the thermodynamic properties of fluid mixtures}, doi = {10.1016/S0378-3812(99)00262-9}, interhash = {a2266c35b4eb17dab8034ec8a53c83ba}, intrahash = {7b284e01df455378f70b4bd390dce243}, issn = {0378-3812}, journal = {Fluid Phase Equilibria}, keywords = {1999 Helmholtz equation-of-state fluid properties thermodynamic}, number = 1, pages = {1 - 21}, timestamp = {2011-07-21T10:52:22.000+0200}, title = {A Helmholtz energy equation of state for calculating the thermodynamic properties of fluid mixtures}, url = {http://dx.doi.org/10.1016/S0378-3812(99)00262-9}, volume = 165, year = 1999 }