An Explanation of the pVm-p Curve of Real Gas by van der Waals Gas Equation

Daxue Huaxue ◽  
2016 ◽  
Vol 31 (3) ◽  
pp. 73-77
Author(s):  
Qi CUI ◽  
◽  
Guo-Liang LI ◽  
Ying-Hui ZHANG
Keyword(s):  
Van Der Waals ◽  
Van Der Waals Gas ◽  
Real Gas

scholarly journals An Efficient Analytical Solution of Blast Wave Problem in Real Gas Flow under the Influence of Dust-Laden Particles

2020 ◽  
Vol 9 (3) ◽  
pp. 2490-2494
Keyword(s):  
Hyperbolic System ◽  
Gas Flow ◽  
Van Der Waals ◽  
Unsteady Motion ◽  
Ideal Gas ◽  
Blast Waves ◽  
Dust Particles ◽  
Van Der Waals Gas ◽  
Real Gas ◽  
Flow Parameters

In the present paper, we investigated the problem of the propagation of blast waves governed by a nonhomogeneous quasilinear hyperbolic system of partial differential equations (PDEs), describing one-dimensional unsteady motion with generalized geometries in a real gas flow (van der Waals gas) in which the influence of the dust particles is significant. An efficient analytical approach has been used to the governing hyperbolic system with respect to the Rankine-Hugoniot (RH) conditions to obtain an exact solution in terms of flow parameters density, velocity and the pressure, which exhibits space-time dependence. Further, an analytical expression for the total energy influenced by real gas effects (consisting of non-ideal gas and small solid dust-laden particles) is derived. The results obtained significantly explore the effect of dust-laden particles on the propagation of blast waves in a van der Waals gas.

Maxwell’s relations for a van der Waals gas and a nuclear paramagnetic system

1981 ◽  
Vol 49 (5) ◽  
pp. 435-438
Author(s):  
James Herlihy ◽  
Carol Michelson ◽  
Mercedes Prieto ◽  
Jonathan Ruth ◽  
William A. Barker
Keyword(s):  
Van Der Waals ◽  
Van Der Waals Gas ◽  
Paramagnetic System

Propagation of weak waves in a dusty, van der Waals gas

Meccanica ◽  
2015 ◽  
Vol 51 (9) ◽  
pp. 2145-2157 ◽  
Author(s):  
Meera Chadha ◽  
J. Jena
Keyword(s):  
Van Der Waals ◽  
Van Der Waals Gas

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.

Van der Waals-Gas

2010 ◽  
pp. 330-339
Author(s):  
Torsten Fließbach
Keyword(s):  
Van Der Waals ◽  
Van Der Waals Gas

scholarly journals Joule–Thomson expansion in AdS black hole with a global monopole

2018 ◽  
Vol 33 (35) ◽  
pp. 1850210 ◽  
Author(s):  
C. L. Ahmed Rizwan ◽  
A. Naveena Kumara ◽  
Deepak Vaid ◽  
K. M. Ajith
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Space ◽  
Van Der Waals ◽  
Extended Phase Space ◽  
Global Monopole ◽  
Van Der Waals Gas ◽  
Extended Phase ◽  
Ads Black Holes

In this paper, we investigate the Joule–Thomson effects of AdS black holes with a global monopole. We study the effect of the global monopole parameter [Formula: see text] on the inversion temperature and isenthalpic curves. The obtained result is compared with Joule–Thomson expansion of van der Waals fluid, and the similarities were noted. Phase transition occuring in the extended phase space of this black hole is analogous to that in van der Waals gas. Our study shows that global monopole parameter [Formula: see text] plays a very important role in Joule–Thomson expansion.

scholarly journals Delta Shocks and Vacuums to the Isentropic Euler Equations with the Flux Perturbation for van der Waals Gas

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Jinhuan Wang ◽  
Yongbin Nie ◽  
Samuele De Bartolo
Keyword(s):  
Euler Equations ◽  
Van Der Waals ◽  
Excluded Volume ◽  
Formation Mechanisms ◽  
Van Der Waals Gas ◽  
Riemann Solutions ◽  
Flux Approximation ◽  
Isentropic Euler Equations ◽  
Delta Shocks ◽  
Flux Perturbation

In this paper, we study the isentropic Euler equations with the flux perturbation for van der Waals gas, in which the density has both lower and upper bounds due to the introduction of the flux approximation and the molecular excluded volume. First, we solve the Riemann problem of this system and construct the Riemann solutions. Second, the formation mechanisms of delta shocks and vacuums are analyzed for the Riemann solutions as the pressure, the flux approximation, and the molecular excluded volume all vanish. Finally, some numerical simulations are demonstrated to verify the theoretical analysis.

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