论文标题
可压缩两阶段系统的身体放松术语
Physical Relaxation Terms for Compressible Two-Phase Systems
论文作者
论文摘要
在本说明中，我们提出了宏观BAER-NUNZIATO类型系统的第一个数学推导，用于可压缩的两相流，允许根据不同阶段进行两个压力状态定律。通过这样做，我们扩展了第一作者和M. Hillairet（Annales ENS 2019）获得的结果，以涵盖这一重要的身体状况。质量分数方程中的弛豫项是在没有封闭假设的情况下与专门用于混合理论的理论物理学文献相反的，请参见M. Ishii参见“两种流体流的热流体动力学”。松弛参数与不同流体的粘度有关（适用于应用可能很小），并且宽松的数量与在中尺度的两流体系统界面中选择的定律有关。
In this note, we propose the first mathematical derivation of a macroscopic Baer-Nunziato type system for compressible two-phase flows allowing two pressure state laws depending on the different phases. By doing so, we extend the results obtained by the first author and M. Hillairet (Annales ENS 2019) to cover this important physical situation. A relaxation term in the mass fraction equation is obtained without closure assumptions contrarily to theoretical-physics literature dedicated to mixture theory, see for instance "Thermo-Fluid dynamics of Two Fluid Flows" by M. Ishii. The relaxation parameter is linked to the viscosities of the different fluids (which may be small for applications) and the relaxed quantity is linked to the laws chosen at interfaces of the two-fluid system at a mesoscale.
