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- Title
Thermodynamically Compatible Hyperbolic Model for a Two-Phase Compressible Fluid Flow with Surface Tension.
- Authors
Romenski, E. I.; Peshkov, I. M.
- Abstract
A model of a two-phase flow of compressible immiscible fluids is presented. Its derivation 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 a 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.
- Subjects
FLUID flow; SURFACE tension; HYPERBOLIC differential equations; THERMODYNAMIC laws; ENERGY conservation; TWO-phase flow; COMPRESSIBLE flow
- Publication
Fluid Dynamics, 2023, Vol 58, Issue 7, p1255
- ISSN
0015-4628
- Publication type
Article
- DOI
10.1134/S0015462823602103