Simultaneous presentation of VLE, HE and cpE by the PRSV equation of state with the modified van der Waals one-fluid and Huron–Vidal–Orbey–Sandler mixing rules

1999 ◽  
Vol 155 (2) ◽  
pp. 205-218 ◽  
Author(s):  
Bojan D Djordjević ◽  
Mirjana Lj Kijevčanin ◽  
Slobodan P Šerbanović
Keyword(s):  
Equation Of State ◽  
Van Der Waals ◽  
Simultaneous Presentation ◽  
Mixing Rules

Mixing rules for the back equation of state

1987 ◽  
Vol 52 (1) ◽  
pp. 29-44 ◽  
Author(s):  
Tomáš Boublík ◽  
Benjamin C.-Y. Lu
Keyword(s):  
Experimental Data ◽  
High Pressure ◽  
Equation Of State ◽  
Van Der Waals ◽  
Energy Parameter ◽  
Excess Properties ◽  
Mixing Rules ◽  
Good Prediction ◽  
Mixing Rule ◽  
Simple Molecules

Van der Waals type of mixing rule for the energy parameter us together with the mixing rules introduced previously for parameters αs and Vs0 of the BACK equation were employed in evaluating excess properties of mixing, Henry's law constant and high pressure vapour-liquid equilibria. A comparison with the experimental data reveals that the BACK equation together with the suggested mixing rules could provide good prediction of equilibrium properties of mixtures of relatively simple molecules.

scholarly journals VAN DER WAALS MIXING RULES FOR THE REDLICH-KWONG EQUATION OF STATE. APPLICATION FOR SUPERCRITICAL SOLUBILITY MODELING

REAKTOR ◽  
2006 ◽  
Vol 10 (2) ◽  
pp. 96
Author(s):  
Ratnawati Ratnawati
Keyword(s):  
Equation Of State ◽  
Supercritical Fluid ◽  
Van Der Waals ◽  
Mixing Rules ◽  
Mechanical Theory ◽  
Fluid System ◽  
Equal Zero ◽  
Cubic Equation ◽  
Data Points ◽  
Statistical Mechanical

A solid-supercritical fluid system is highly asymmetric in terms of the size and energy differences of the components. The key point in extending a cubic equation of state to such system is on the choice of proper mixing rules. New mixing rules for the Redlich-Kwong equation of state are developed. The developement is based on the statistical-mechanical theory of the van der Waals mixing rules. The Redlich Kwong equation of state with the proposed mixing rules along with the original ones is used to predict solubilities of solids in supercritical fluid. The prediction is done with kij equal zero, as well as with optimized kij.  The results show superiority of the proposed mixing rules over the original ones. For most of the systems considered, the proposed mixing rules with the kij equal zero are closer to the experimental data than the original ones do. For 28 systems with 521 data points taken from various sources, the original and the proposed mixing rules give the overall AAD of 13.4%, while the original mixing rules give 45.9%.

scholarly journals Limiting temperature of pion gas with the van der Waals equation of state

2016 ◽  
Vol 43 (9) ◽  
pp. 095105 ◽  
Author(s):  
R V Poberezhnyuk ◽  
V Vovchenko ◽  
D V Anchishkin ◽  
M I Gorenstein
Keyword(s):  
Equation Of State ◽  
Van Der Waals ◽  
Van Der Waals Equation

scholarly journals Experimental and Theoretical Study of Dielectric Permeability of Nonpolar Gases

2017 ◽  
pp. 1-10
Keyword(s):  
Equation Of State ◽  
Good Accuracy ◽  
Theoretical Study ◽  
Van Der Waals ◽  
Dielectric Permeability ◽  
Small Temperature

In the present paper we consider application of equation of state for model gases to the description of experimental dependencies of dielectric permeability on pressure and temperature for nonpolar gases. The case of argon is regarded as an example. It is demonstrated that the generalized Van-der-Waals-Berthelot equation describes the dependence of dielectric permeability on pressure and temperature with good accuracy. It is shown that the measurement of dielectric permeability using the isotherms with small temperature increments provides a means to obtain the exact tabulated equation of state. This result can be used in other areas of investigation.

scholarly journals Nonlinear Processes in Safety Systems for Substances with Parameters Close to a Critical State

2021 ◽  
Vol 17 (1) ◽  
pp. 119-138
Author(s):  
M. R. Koroleva ◽  
◽  
O. V. Mishchenkova ◽  
V. A. Tenenev ◽  
T. Raeder ◽  
...  
Keyword(s):  
Equation Of State ◽  
Critical State ◽  
Stokes Equations ◽  
Safety Valve ◽  
Van Der Waals ◽  
Local Approximation ◽  
Critical Conditions ◽  
Nonlinear Processes ◽  
Real Gas ◽  
Van Der Waals Equation

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.

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