Centered rarefaction wave with a liquid-gas phase transition in the approximation of "phase-flip" hydrodynamics

It is proposed to evaluate the effects of thermodynamic metastability on fluid dynamics by comparing two different ideal-hydrodynamics solutions --- one obtained with the fully equilibrium equation of state using the Maxwell construction, and the other in what we call the phase-flip approximation. T...

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Bibliographic Details
Published in:arXiv.org 2018-10
Main Author: Basko, Mikhail M
Format: Article
Language:English
Subjects:
Approximation
Decay
Equations of state
Equilibrium equations
Exact solutions
Fluid dynamics
Fluid flow
Fluid mechanics
Hydrodynamics
Laser beam heating
Mathematical analysis
Metastable state
Phase transitions
Rarefaction
Vapor phases
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Summary:It is proposed to evaluate the effects of thermodynamic metastability on fluid dynamics by comparing two different ideal-hydrodynamics solutions --- one obtained with the fully equilibrium equation of state using the Maxwell construction, and the other in what we call the phase-flip approximation. The latter is based on the assumption of instantaneous decay of metastable states upon reaching the spinodal. The proposed method is applied to the classical problem of the centered rarefaction wave by expansion into vacuum, for which exact analytical solutions exist in both approximations. It is shown that the rapid decay of metastable states leads to the formation of a rarefaction shock in the expanding flow. Implications for the laser-heating experiments are discussed.
ISSN:2331-8422
DOI:10.48550/arxiv.1810.05020