Hamilton's Principle and Rankine-Hugoniot Conditions for General Motions of Mixtures

Details Hamilton's Principle and Rankine-Hugoniot Conditions for General Motions of Mixtures Hamilton's Principle and Rankine-Hugoniot Conditions for General Motions of Mixtures

2008-02-08

arxiv.org/abs/0802.1159v1

Meccanica 34, 1 (1999) 39-47

Physics

Fluid Dynamics

Extended version of meccanica 34: 39-47, 1999

Scientific paper

10.1023/A:1004370127958

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.

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