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Nonequilibrium model for compressible two-phase two-pressure flows with surface tension Full article

Journal Continuum Mechanics and Thermodynamics
ISSN: 0935-1175 , E-ISSN: 1432-0959
Output data Year: 2025, Volume: 37, Number: 5, Article number : 72, Pages count : 26 DOI: 10.1007/s00161-025-01403-x
Authors Peshkov Ilya 1 , Romenski Evgeniy 2 , Pavelka Michal 3
Affiliations
1 Department of Civil, Environmental and Mechanical Engineering, University of Trento
2 Sobolev Institute of Mathematics
3 Mathematical Institute, Faculty of Mathematics and Physics, Charles University

Funding (1)

1 Russian Science Foundation 19-77-20004

Abstract: In continuum thermodynamics, models of two-phase mixtures typically obey the condition of pressure equilibrium across interfaces between the phases. We propose a new non-equilibrium model beyond that condition, allowing for microinertia of the interfaces, surface tension, and different phase pressures. The model is formulated within the framework of Symmetric Hyperbolic Thermodynamically Compatible equations, and it possesses variational and Hamiltonian formulations. Finally, via formal asymptotic analysis, we show how the pressure equilibrium is restored when fast degrees of freedom relax to their equilibrium values.
Cite: Peshkov I. , Romenski E. , Pavelka M.
Nonequilibrium model for compressible two-phase two-pressure flows with surface tension
Continuum Mechanics and Thermodynamics. 2025. V.37. N5. 72 :1-26. DOI: 10.1007/s00161-025-01403-x WOS Scopus OpenAlex
Dates:
Submitted: Dec 14, 2023
Accepted: Jul 8, 2025
Published print: Jul 21, 2025
Published online: Jul 21, 2025
Identifiers:
Web of science: WOS:001531926700001
Scopus: 2-s2.0-105011359028
OpenAlex: W4412536816
Citing: Пока нет цитирований
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