scholarly journals Helmholtz Free Energy Equation of State for 3He–4He Mixtures at Temperatures Above 2.17 K

2021 ◽  
Vol 50 (4) ◽  
pp. 043102
Author(s):  
Changzhao Pan ◽  
Haiyang Zhang ◽  
Gérard Rouillé ◽  
Bo Gao ◽  
Laurent Pitre
Keyword(s):  
Free Energy ◽  
Equation Of State ◽  
Energy Equation ◽  
Helmholtz Free Energy

scholarly journals Calculation of thermodynamic properties of mixtures in two-phase equilibrium

2021 ◽  
Vol 2039 (1) ◽  
pp. 012016
Author(s):  
Taiming Luo ◽  
A Yu Chirkov
Keyword(s):  
Free Energy ◽  
Phase Equilibrium ◽  
Equation Of State ◽  
Thermodynamic Properties ◽  
Energy Equation ◽  
Helmholtz Free Energy ◽  
High Accuracy ◽  
Liquid Equilibrium ◽  
Two Phase ◽  
Vapor Liquid Equilibrium

Abstract Thermodynamic properties of mixtures in vapor-liquid equilibrium (VLE) were studied. Thermodynamic properties of the methane-ethane mixtures in VLE were calculated with highly accurate Helmholtz free energy equation of state GERG-2008, simplified GERG-2008 and common cubic PR equation of state (EOS). Results show that GERG-2008 has high accuracy in VLE calculations. However, simplified GERG-2008 and PR-EOS both work unsatisfactorily in VLE calculations.

Helmholtz free energy equation of state for propane and R134a binary mixture

2018 ◽  
Vol 89 ◽  
pp. 1-10 ◽  
Author(s):  
Haiyang Zhang ◽  
Bo Gao ◽  
Wei Wu ◽  
Huiya Li ◽  
Quan Zhong ◽  
...  
Keyword(s):  
Free Energy ◽  
Equation Of State ◽  
Binary Mixture ◽  
Energy Equation ◽  
Helmholtz Free Energy

Thermodynamic Property Calculation in Vapor-Liquid Equilibrium for Multicomponent Mixtures using Highly Accurate Helmholtz Free Energy Equation of State

2021 ◽  
pp. 108-121
Author(s):  
T. Luo ◽  
A.Yu. Chirkov
Keyword(s):  
Free Energy ◽  
Equation Of State ◽  
Thermodynamic Properties ◽  
Energy Equation ◽  
Helmholtz Free Energy ◽  
Multicomponent Mixtures ◽  
Liquid Equilibrium ◽  
Equilibrium Calculation ◽  
Vapor Liquid Equilibrium ◽  
Vapor Liquid

Thermodynamic properties of multicomponent mixtures in phase equilibrium were studied. The tangent plane criterion was used for stability analysis, and the Gibbs energy minimization was employed for phase equilibrium calculation when the successive substitution didn't converge. Thermodynamic properties of a 12-component natural gas mixture in vapor-liquid equilibrium were calculated with highly accurate Helmholtz free energy equation of state GERG--2008, simplified GERG--2008 and common cubic Peng --- Robinson (PR) equation of state. Results show that in vapor-liquid equilibrium, GERG--2008 has high accuracy and works better than simplified GERG--2008 and PR-equation of state. Simplified GERG--2008 and PR-equation of state both work unsatisfactorily in vapor-liquid equilibrium calculation, especially near the saturation zone. The deviation function in GERG--2008 can significantly affect the accuracy of GERG--2008 when calculating thermodynamic properties of mixtures in vapor-liquid equilibrium

Explicit Gibbs free energy equation of state for solids

2008 ◽  
Vol 69 (8) ◽  
pp. 1912-1922 ◽  
Author(s):  
Eli Brosh ◽  
Roni Z. Shneck ◽  
Guy Makov
Keyword(s):  
Free Energy ◽  
Equation Of State ◽  
Gibbs Free Energy ◽  
Energy Equation

scholarly journals A complete equation of state for polyethylene based on Helmholtz free energy

2017 ◽  
Vol 66 (5) ◽  
pp. 056501
Author(s):  
Zhang Xu-Ping ◽  
Wang Gui-Ji ◽  
Luo Bin-Qiang ◽  
Tan Fu-Li ◽  
Zhao Jian-Heng ◽  
...  
Keyword(s):  
Free Energy ◽  
Equation Of State ◽  
Helmholtz Free Energy
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