Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition

2013 ◽  
Vol 71 (3) ◽  
pp. 509-540 ◽  
Author(s):  
Maren Hantke ◽  
Wolfgang Dreyer ◽  
Gerald Warnecke
Keyword(s):  
Phase Transition ◽  
Exact Solutions ◽  
Euler Equations ◽  
Riemann Problem ◽  
Two Phase Flows ◽  
Two Phase ◽  
Isothermal Euler Equations

scholarly journals A general existence result for isothermal two-phase flows with phase transition

2019 ◽  
Vol 16 (04) ◽  
pp. 595-637
Author(s):  
Maren Hantke ◽  
Ferdinand Thein
Keyword(s):  
Phase Transition ◽  
Euler Equations ◽  
Equations Of State ◽  
Linear Equations ◽  
Two Phase Flows ◽  
Kinetic Relation ◽  
Two Phase ◽  
Uniqueness Results ◽  
Wide Range ◽  
Isothermal Euler Equations

Liquid–vapor flows with phase transitions have a wide range of applications. Isothermal two-phase flows described by a single set of isothermal Euler equations, where the mass transfer is modeled by a kinetic relation, have been investigated analytically in [M. Hantke, W. Dreyer and G. Warnecke, Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition, Quart. Appl. Math. 71(3) (2013) 509–540]. This work was restricted to liquid water and its vapor modeled by linear equations of state. The focus of this work lies on the generalization of the primary results to arbitrary substances, arbitrary equations of state and thus a more general kinetic relation. We prove existence and uniqueness results for Riemann problems. In particular, nucleation and cavitation are discussed.

scholarly journals On the Impossibility of First-Order Phase Transitions in Systems Modeled by the Full Euler Equations

Entropy ◽  
2019 ◽  
Vol 21 (11) ◽  
pp. 1039
Author(s):  
Maren Hantke ◽  
Ferdinand Thein
Keyword(s):  
Euler Equations ◽  
Single Phase ◽  
Two Phase Flows ◽  
Two Phase ◽  
First Order ◽  
Engineering Sciences ◽  
The One ◽  
First Order Phase ◽  
Isothermal Euler Equations ◽  
Appl Math

Liquid–vapor flows exhibiting phase transition, including phase creation in single-phase flows, are of high interest in mathematics, as well as in the engineering sciences. In two preceding articles the authors showed on the one hand the capability of the isothermal Euler equations to describe such phenomena (Hantke and Thein, arXiv, 2017, arXiv:1703.09431). On the other hand they proved the nonexistence of certain phase creation phenomena in flows governed by the full system of Euler equations, see Hantke and Thein, Quart. Appl. Math. 2015, 73, 575–591. In this note, the authors close the gap for two-phase flows by showing that the two-phase flows considered are not possible when the flow is governed by the full Euler equations, together with the regular Rankine-Hugoniot conditions. The arguments rely on the fact that for (regular) fluids, the differences of the entropy and the enthalpy between the liquid and the vapor phase of a single substance have a strict sign below the critical point.

scholarly journals A simple and fast phase transition relaxation solver for compressible multicomponent two-phase flows

2017 ◽  
Vol 150 ◽  
pp. 31-45 ◽  
Author(s):  
Alexandre Chiapolino ◽  
Pierre Boivin ◽  
Richard Saurel
Keyword(s):  
Phase Transition ◽  
Two Phase Flows ◽  
Two Phase ◽  
Fast Phase

scholarly journals A hyperbolic phase-transition model coupled to tabulated EoS for two-phase flows in fast depressurizations

2021 ◽  
Vol 371 ◽  
pp. 110954
Author(s):  
M. De Lorenzo ◽  
Ph. Lafon ◽  
M. Pelanti ◽  
A. Pantano ◽  
M. Di Matteo ◽  
...  
Keyword(s):  
Phase Transition ◽  
Transition Model ◽  
Two Phase Flows ◽  
Two Phase

The resonant cases and the Riemann problem for a model of two-phase flows

2021 ◽  
Vol 494 (1) ◽  
pp. 124578
Author(s):  
Mai Duc Thanh ◽  
Dao Huy Cuong ◽  
Duong Xuan Vinh
Keyword(s):  
Riemann Problem ◽  
Two Phase Flows ◽  
Two Phase

scholarly journals Study of a low Mach nuclear core model for two-phase flows with phase transition I: stiffened gas law

2014 ◽  
Vol 48 (6) ◽  
pp. 1639-1679 ◽  
Author(s):  
Manuel Bernard ◽  
Stéphane Dellacherie ◽  
Gloria Faccanoni ◽  
Bérénice Grec ◽  
Yohan Penel
Keyword(s):  
Phase Transition ◽  
Core Model ◽  
Two Phase Flows ◽  
Two Phase ◽  
Nuclear Core
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