scholarly journals On the existence and regularity of solutions of semihyperbolic patches to 2‐D Euler equations with van der Waals gas

2021 ◽  
Author(s):  
Rahul Barthwal ◽  
T. Raja Sekhar
Keyword(s):  
Euler Equations ◽  
Van Der Waals ◽  
Regularity Of Solutions ◽  
Van Der Waals Gas

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.

Limits of Solutions to the Isentropic Euler Equations for van der Waals Gas

2019 ◽  
Vol 20 (3-4) ◽  
pp. 461-473 ◽  
Author(s):  
Jinhuan Wang ◽  
Yicheng Pang ◽  
Yu Zhang
Keyword(s):  
Euler Equations ◽  
Van Der Waals ◽  
Vacuum State ◽  
Ideal Gas ◽  
Transport Equations ◽  
Rarefaction Waves ◽  
Van Der Waals Gas ◽  
Riemann Solutions ◽  
Riemann Solution ◽  
Isentropic Euler Equations

AbstractIn this paper, we consider limit behaviors of Riemann solutions to the isentropic Euler equations for a non-ideal gas (i.e. van der Waals gas) as the pressure vanishes. Firstly, the Riemann problem of the isentropic Euler equations for van der Waals gas is solved. Then it is proved that, as the pressure vanishes, any Riemann solution containing two shock waves to the isentropic Euler equation for van der Waals gas converges to the delta shock solution to the transport equations and any Riemann solution containing two rarefaction waves tends to the vacuum state solution to the transport equations. Finally, some numerical simulations completely coinciding with the theoretical analysis are demonstrated.

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

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.

Multiplicity of thermodynamic states of van der Waals gas in nanobubbles

2020 ◽  
Author(s):  
Xu Tang ◽  
Hongguang Zhang ◽  
Zhenjiang Guo ◽  
Xianren Zhang ◽  
Jing Li ◽  
...  
Keyword(s):  
Van Der Waals ◽  
Van Der Waals Gas
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