Enviar artigo por via de e-mail Thermodynamically Compatible Hyperbolic Model for Two-Phase Compressible Fluid Flow with Surface Tension
- Autores: Romenski E.1, Peshkov I.2
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Afiliações:
- Sobolev Institute of Mathematics SB RAS
- University of Trento
- Edição: Volume 87, Nº 2 (2023)
- Páginas: 211-225
- Seção: Articles
- URL: https://journal-vniispk.ru/0032-8235/article/view/138853
- DOI: https://doi.org/10.31857/S0032823523020121
- EDN: https://elibrary.ru/UATYDZ
- ID: 138853
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Resumo
A two-phase flow model for compressible immiscible fluids is presented, the derivation of which is based on the use of the theory of symmetric hyperbolic thermodynamically compatible systems. The model is an extension of the previously proposed thermodynamically compatible model of compressible two-phase flows due to the inclusion of new state variables of the medium associated with surface tension forces. The governing equations of the model form a hyperbolic system of differential equations of the first order and satisfy the laws of thermodynamics (energy conservation and entropy increase). The properties of the model equations are studied and it is shown that the Young–Laplace law of capillary pressure is fulfilled in the asymptotic approximation at the continuum level.
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Sobre autores
E. Romenski
Sobolev Institute of Mathematics SB RAS
Autor responsável pela correspondência
Email: evrom@math.nsc.ru
Russia, Novosibirsk
I. Peshkov
University of Trento
Autor responsável pela correspondência
Email: ilya.peshkov@unitn.it
Italy, Trento
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