A variational principle for two-fluid mixtures is proposed. The Lagrangian is constructed as the difference between the kinetic energy of the mixture and a thermodynamic potential conjugated to the internal energy with respect to the relative velocity of phases. The equations of motion and a set of Rankine-Hugoniot conditions are obtained. It is proved also that the convexity of the internal energy guarantees the hyperbolicity of the one-dimensional equations of motion linearized at rest.
Publié le : 1997-04-01
Classification:
Two-fluid mixtures,
variational principle,
49S05;47.10.A;47.10.Df;47.61.Jd;,
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph],
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
@article{hal-00239305,
author = {Gavrilyuk, Sergey, and Gouin, Henri and Perepechko, Yurii},
title = {A variational principle for two-fluid models},
journal = {HAL},
volume = {1997},
number = {0},
year = {1997},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00239305}
}
Gavrilyuk, Sergey, ; Gouin, Henri; Perepechko, Yurii. A variational principle for two-fluid models. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-00239305/