Реферат: A continuum model of a two-phase flow of compressible immiscible fluids with surface tension is discussed, the derivation of which is based on using the theory of SHTC (Symmetric Hyperbolic Thermodynamically Compatible) systems. The class of SHTC systems includes many well-known PDEs of continuum mechanics, and the corresponding theory makes it possible to formulate new models of complex media and processes. The presented model is an extension of the previously proposed SHTC model of compressible two-phase flows. This extension consists in the formulation of a non-local model, in which a new state variable is introduced - the gradient of the volume fraction of one phase. This approach is based on the assumption that volume fraction is a color function and is quite common. Then, following the formalism of SHTC systems, an additional state variable and an equation for this variable should be added to the model.. The resulting governing equations of the model form a hyperbolic system of differential equations of the first order and satisfy the laws of thermodynamics (conservation of energy and increase in entropy). A very important feature of the model is that the source terms of the governing equations include antisymmetric terms, which can generate dispersion effects during wave propagation. The properties of the governing equations are studied and some relaxation limits of the model are considered.

Библиографическая ссылка: Romenski E. , Peshkov I.
Symmetric Hyperbolic Thermodynamically Compatible model of two-phase compressible fluid flow with surface tension
Joint European Thermodynamics Conference 2023 12-17 Jun 2023