Hamilton's principle and Rankine-Hugoniot conditions for general motions of mixtures

被引：21
作者：
Gouin, H [1 ]
Gavrilyuk, S [1 ]
机构：
[1] Univ Aix Marseille, Fac Sci & Tech, Lab Modelisat Mecan & Thermodynam, F-13397 Marseille 20, France
来源：
MECCANICA | 1999年 / 34卷 / 01期
关键词：
Hamilton's principle; jump conditions; multiphase flows; fluid mechanics;
D O I：
10.1023/A:1004370127958
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In previous papers [1, 2], we presented hyperbolic governing equations and jump conditions for barotropic fluid mixtures. Now we extend our results to the most general case of two-component media. We obtain governing equations for each component. This is not a system of conservation laws. Nevertheless, using Hamilton's principle we are able to obtain a complete set of Rankine-Hugroniot conditions. 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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页码：39 / 47
页数：9
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