1999/04/01 by Henri Gouin, Sergey Gavrilyuk · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #Thermoelastic and Magnetoelastic Phenomena #math-ph #math.MP #physics.flu-dyn
paper · pdf · doi:10.1023/a:1004370127958
published as Meccanica 34, 1 (1999) 39-47 · Extended version of meccanica 34: 39-47, 1999
openalex publication_date 1999/04/01 · arxiv created 2008/02/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In previous papers, we have presented hyperbolic governing equations and jump conditions for barotropic fluid mixtures. Now we extend our results to the most general case of two-fluid conservative mixtures taking into account the entropies of components. We obtain governing equations for each component of the medium. This is not a system of conservation laws. Nevertheless, using Hamilton's principle we are able to obtain a complete set of Rankine-Hugoniot conditions. In particular, for the gas dynamics they coincide with classical jump conditions of conservation of momentum and energy. For the two-fluid case, the jump relations do not involve the conservation of the total momentum and the total energy.