scholarly journals Generalized Van der Waals Equation for Liquid-Vapor Equilibria in a Stationary Gravitational Field

2021 ◽  
Vol 11 (01) ◽  
pp. 1-11
Author(s):  
Makokiyu Godlove Akumbom ◽  
Georges Collince Fouokeng ◽  
Martin Tchoffo ◽  
Lukong Cornelius Fai
Keyword(s):  
Gravitational Field ◽  
Van Der Waals ◽  
Van Der Waals Equation ◽  
Stationary Gravitational Field ◽  
Liquid Vapor

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 The van der Waals equation: analytical and approximate solutions

2007 ◽  
Vol 43 (4) ◽  
pp. 1437-1457 ◽  
Author(s):  
Mario N. Berberan-Santos ◽  
Evgeny N. Bodunov ◽  
Lionello Pogliani
Keyword(s):  
Van Der Waals ◽  
Approximate Solutions ◽  
Van Der Waals Equation

From Van der Waals' equation to the scaling laws

Physica ◽  
1974 ◽  
Vol 73 (1) ◽  
pp. 73-106 ◽  
Author(s):  
J.M.H. Levelt Sengers
Keyword(s):  
Scaling Laws ◽  
Van Der Waals ◽  
Van Der Waals Equation

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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