AN APPLICATION OF STATISTICAL CHAIN THEORIES ON THERMODYNAMIC PROPERTIES OF BINARY AND TERNARY HYDROCARBON MIXTURES
DOI:
https://doi.org/10.18690/jet.2.1.85-102.2009Keywords:
statistical thermomdynamics, thermomechanics, chain theory, refrigerationAbstract
This paper discusses a mathematical model for computing the thermodynamic properties for binaryand ternary mixturesof propane, nͲbutane and isobutane intheir fluid phase with the aid of statistical chain theory. The constants required computing the characteristic temperatures of rotation, electronic state etc., and the moments of inertia are analytically obtained by applying knowledge of the atomic structure of the molecule. The procedure for calculating essential thermodynamic properties such as pressure, speed of sound, the JouleͲ Thomson coefficient, compressibility, enthalpyand thermal expansion coefficient is presented in the paper. This paper will discuss, forth efirst time, the application of statistical chaintheory and accuracy for binar yandternary mixture samong propane, nbutaneandiso butane, in their entire fluid phases for all important thermodynamic properties. To calculate the thermodynamic properties of the Lennard-Joneschains, we have used the Liu-Li-Luand Tang-Lu models. The thermodynamic properties of the Lennard-Jones mixtures are obtained using the one-fluid theory. Inrecent years, thermodynamic the ories based on statistical thermodynamics have been rapidly developing; fluids with chain bonding and association have also received
muchattention. Interests for these fluids are prompted by the factt hatt hey cover much wider
rangeofrealfluidsthansphericalones.Agoodtheoryforthesefluidswillbeverybeneficialto
chemical engineering applications by reducing the number of parameters and making them
morephysicallymeaningfulandmorepredictable.Intechnicalpractice,energyprocessesareof
vitalimportance.Inordertodesigndevicesinthisfield,itisnecessarytobefamiliarwiththe
equilibriumandnonequilibriumpropertiesofstateinsingleͲandtwoͲphaseenvironmentsfor
pure refrigerants and their mixtures. To calculate the thermodynamic properties of real fluid,
theLiuͲLiͲLu(LLL)(revisedCotterman)equationofstatebasedonsimpleperturbationtheory
and the SAFTͲVR equation of state for LJ chain fluid was applied. To compare the
thermodynamic properties of real fluid obtained by the SAFT theory we used the REFPROP
model.
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