The liquid-liquid critical state of (cyclohexane + methanol) II. Use of the parametric equation of state to represent excess enthalpy in the critical region

1986 ◽  
Vol 18 (10) ◽  
pp. 979-992 ◽  
Author(s):  
M.B Ewing ◽  
K.A Johnson ◽  
M.L McGlashan
1964 ◽  
Vol 86 (3) ◽  
pp. 320-326 ◽  
Author(s):  
E. S. Nowak

A parametric equation of state was derived for water and water vapor in the critical region from experimental P-V-T data. It is valid in that part of the critical region encompassed by pressures from 3000 to 4000 psia, specific volumes from 0.0400 to 0.1100 ft3/lb, and temperatures from 698 to 752 deg F. The equation of state satisfies all of the known conditions at the critical point. It also satisfies the conditions along certain of the boundaries which probably separate “supercritical liquid” from “supercritical vapor.” The equation of state, though quite simple in form, is probably superior to any equation heretofore derived for water and water vapor in the critical region. Specifically, the deviations between the measured and computed values of pressure in the large majority of the cases were within three parts in one thousand. This coincides approximately with the overall uncertainty in P-V-T measurements. In view of these factors, the author recommends that the equation be used to derive values for such thermodynamic properties as specific heat at constant pressure, enthalpy, and entropy in the critical region.


1995 ◽  
pp. 358-364
Author(s):  
J. M. H. Levelt Sengers ◽  
W. L. Greer ◽  
J. V. Sengers

1991 ◽  
Vol 95 (8) ◽  
pp. 3351-3357 ◽  
Author(s):  
Arturo G. Aizpiri ◽  
Antonio Rey ◽  
Jorge Davila ◽  
Ramon G. Rubio ◽  
John A. Zollweg ◽  
...  

2021 ◽  
Vol 17 (1) ◽  
pp. 119-138
Author(s):  
M. R. Koroleva ◽  
◽  
O. V. Mishchenkova ◽  
V. A. Tenenev ◽  
T. Raeder ◽  
...  

The paper presents a modification of the digital method by S. K. Godunov for calculating real gas flows under conditions close to a critical state. The method is generalized to the case of the Van der Waals equation of state using the local approximation algorithm. Test calculations of flows in a shock tube have shown the validity of this approach for the mathematical description of gas-dynamic processes in real gases with shock waves and contact discontinuity both in areas with classical and nonclassical behavior patterns. The modified digital scheme by Godunov with local approximation of the Van der Waals equation by a two-term equation of state was used for simulating a spatial flow of real gas based on Navier – Stokes equations in the area of a complex shape, which is characteristic of the internal space of a safety valve. We have demonstrated that, under near-critical conditions, areas of nonclassical gas behavior may appear, which affects the nature of flows. We have studied nonlinear processes in a safety valve arising from the movement of the shut-off element, which are also determined by the device design features and the gas flow conditions.


2008 ◽  
Vol 15 (3) ◽  
pp. 359-368 ◽  
Author(s):  
A. B. Kaplun ◽  
B. I. Kidyarov ◽  
A. B. Meshalkin ◽  
A. V. Shishkin

1968 ◽  
Vol 34 (259) ◽  
pp. 501-516 ◽  
Author(s):  
Koichi WATANABE ◽  
Ichimatsu TANISHITA ◽  
Hiroyasu OZAWA

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