Calculation of high-pressure vapor-liquid equilibria of non-polar asymmetric mixtures with an augmented van der Waals equation of state.

1984 ◽  
Vol 17 (2) ◽  
pp. 109-113 ◽  
Author(s):  
CHIAKI YOKOYAMA ◽  
KUNIO ARAI ◽  
SHOZABURO SAITO
Keyword(s):  
High Pressure ◽  
Equation Of State ◽  
Van Der Waals ◽  
Van Der Waals Equation ◽  
Vapor Liquid Equilibria ◽  
Vapor Liquid

scholarly journals PREDICTION OF HIGH PRESSURE VAPOR-LIQUID EQUILIBRIA FOR MULTICOMPONENT SYSTEMS BY THE BWR EQUATION OF STATE

1971 ◽  
Vol 4 (1) ◽  
pp. 10-16 ◽  
Author(s):  
MASAHIRO YORIZANE ◽  
SHOSHIN YOSHIMURA ◽  
HIROKATSU MASUOKA ◽  
MASANOBU NAKAMURA
Keyword(s):  
High Pressure ◽  
Equation Of State ◽  
Multicomponent Systems ◽  
Vapor Liquid Equilibria ◽  
Vapor Liquid

scholarly journals Local Shape of the Vapor–Liquid Critical Point on the Thermodynamic Surface and the van der Waals Equation of State

2021 ◽  
Vol 9 ◽  
Author(s):  
J. S. Yu ◽  
X. Zhou ◽  
J. F. Chen ◽  
W. K. Du ◽  
X. Wang ◽  
...  
Keyword(s):  
Equation Of State ◽  
Critical Point ◽  
Van Der Waals ◽  
Usual Condition ◽  
Local Shape ◽  
Van Der Waals Equation ◽  
Usual Form ◽  
Zero Gaussian Curvature ◽  
Two Parameters ◽  
Vapor Liquid

Differential geometry is a powerful tool to analyze the vapor–liquid critical point on the surface of the thermodynamic equation of state. The existence of usual condition of the critical point (∂p/∂V)T=0 requires the isothermal process, but the universality of the critical point is its independence of whatever process is taken, and so we can assume (∂p/∂T)V=0. The distinction between the critical point and other points on the surface leads us to further assume that the critical point is geometrically represented by zero Gaussian curvature. A slight extension of the van der Waals equation of state is to letting the two parameters a and b in it vary with temperature, which then satisfies both assumptions and reproduces its usual form when the temperature is approximately the critical one.

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