Dimensionless constant characteristic of gases, equations of state, and intermolecular potentials

1969 ◽  
Vol 73 (1) ◽  
pp. 167-173 ◽  
Author(s):  
Eugene M. Holleran
Keyword(s):  
Equations Of State ◽  
Intermolecular Potentials ◽  
Dimensionless Constant

Deviations from the principle of corresponding states

1953 ◽  
Vol 219 (1138) ◽  
pp. 405-418 ◽  
Keyword(s):  
Equations Of State ◽  
Average Energy ◽  
Relative Orientation ◽  
Corresponding States ◽  
Intermolecular Potential ◽  
Intermolecular Potentials ◽  
Statistical Average ◽  
Dipolar Molecules ◽  
Rectilinear Diameter ◽  
The Difference

Certain intermolecular potential energies which are functions of the relative orientation of the molecules may be reduced to a form similar to that of simple spherical molecules by taking a statistical average over all orientations. Such an average energy is an explicit function of the temperature. Two such intermolecular potentials are used to calculate the difference in the equations of state of assemblies of elliptical molecules (part I), of dipolar molecules (part II), and an assembly of equivalent spherical molecules, which conforms to the principle of corresponding states. These calculations are compared with the observed deviations from this principle of the vapour pressure and rectilinear diameter of thirteen liquids.

scholarly journals Characteristic Curves of the Lennard-Jones Fluid

2021 ◽  
Author(s):  
Simon Stephan ◽  
Ulrich K. Deiters
Keyword(s):  
Virial Coefficient ◽  
Equations Of State ◽  
Virial Coefficients ◽  
Intermolecular Potential ◽  
Intermolecular Potentials ◽  
Characteristic Curves ◽  
The Past ◽  
Lennard Jones ◽  
Physically Based ◽  
Third Virial Coefficient

Equations of state based on intermolecular potentials are often developed about the Lennard-Jones (LJ) potential. Many of such EOS have been proposed in the past. In this work, 20 LJ EOS were examined regarding their performance on Brown’s characteristic curves and characteristic state points. Brown’s characteristic curves are directly related to the virial coefficients at specific state points, which can be computed exactly from the intermolecular potential. Therefore, also the second and third virial coefficient of the LJ fluid were investigated. This approach allows a comparison of available LJ EOS at extreme conditions. Physically based, empirical, and semi-theoretical LJ EOS were examined. Most investigated LJ EOS exhibit some unphysical artifacts.

TPT2 and SAFTD equations of state for mixtures of hard chain copolymers

2000 ◽  
Vol 98 (24) ◽  
pp. 2045-2052
Author(s):  
Keshawa P. Shukla, Walter G. Chapman
Keyword(s):  
Equations Of State

Computation of flows with arbitrary equations of state

AIAA Journal ◽  
1998 ◽  
Vol 36 ◽  
pp. 515-521 ◽  
Author(s):  
Charles L. Merkle ◽  
Philip E. O. Buelow ◽  
Sankaran Venkateswaran ◽  
Jennifer Y. Sullivan
Keyword(s):  
Equations Of State

SITE-SPECIFIC EQUATIONS OF STATE FOR COASTAL SEA AREAS AND INLAND WATER BODIES

2017 ◽  
Author(s):  
Natalia Andrulionis ◽  
Natalia Andrulionis ◽  
Ivan Zavialov ◽  
Ivan Zavialov ◽  
Elena Kovaleva ◽  
...  
Keyword(s):  
Equation Of State ◽  
Black Sea ◽  
Water Samples ◽  
Equations Of State ◽  
Sea Water ◽  
Ionic Composition ◽  
Water Bodies ◽  
Aral Sea ◽  
The Black Sea ◽  
Coastal Sea

This article presents a new method of laboratory density determination and construction equations of state for marine waters with various ionic compositions and salinities was developed. The validation of the method was performed using the Ocean Standard Seawater and the UNESCO thermodynamic equation of state (EOS-80). Density measurements of water samples from the Aral Sea, the Black Sea and the Issyk-Kul Lake were performed using a high-precision laboratory density meter. The obtained results were compared with the density values calculated for the considered water samples by the EOS-80 equation. It was shown that difference in ionic composition between Standard Seawater and the considered water bodies results in significant inaccuracies in determination of water density using the EOS-80 equation. Basing on the laboratory measurements of density under various salinity and temperature values we constructed a new equation of state for the Aral Sea and the Black Sea water samples and estimated errors for their coefficients.

Properties of Refrigerants from Cubic Equations of State

2008 ◽  
Vol 59 (5) ◽  
Author(s):  
Viorel Feroiu ◽  
Dan Geana ◽  
Catinca Secuianu
Keyword(s):  
Experimental Data ◽  
Vapor Pressure ◽  
Equations Of State ◽  
Ternary Mixtures ◽  
Volumetric Properties ◽  
Mixing Rules ◽  
Saturation Curve ◽  
Equilibrium Thermodynamic ◽  
Liquid Equilibrium ◽  
Binary And Ternary Mixtures

Vapour � liquid equilibrium, thermodynamic and volumetric properties were predicted for three pure hydrofluorocarbons: difluoromethane (R32), pentafluoroethane (R125) and 1,1,1,2 � tetrafluoroethane (R134a) as well as for binary and ternary mixtures of these refrigerants. Three cubic equations of state GEOS3C, SRK (Soave � Redlich � Kwong) and PR (Peng � Robinson) were used. A wide comparison with literature experimental data was made. For the refrigerant mixtures, classical van der Waals mixing rules without interaction parameters were used. The GEOS3C equation, with three parameters estimated by matching several points on the saturation curve (vapor pressure and corresponding liquid volumes), compares favorably to other equations in literature, being simple enough for applications.

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