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引用次数: 0
摘要
本文介绍了动力学理论框架下基于 ES-BGK 的新型非多向稀薄气体模型。该模型的主要特点是:内部状态密度函数仅取决于内部模态的微观能量(避免了以往参考研究中出现的对温度的依赖);完全符合 H 定理;基于最大熵原理,按照合理扩展热力学的既定程序,实现了矩方程系统闭合的可行性。本模型得到的二氧化碳(CO/(_2\))中的平面冲击波结构与之前的结果基本一致,但计算得到的内部温度曲线与之前的研究结果有质的不同,这里显示的是整个冲击波结构中一致的单调行为,而不是之前发现的非单调行为。
A Novel ES-BGK Model for Non-polytropic Gases with Internal State Density Independent of the Temperature
A novel ES-BGK-based model of non-polytropic rarefied gases in the framework of kinetic theory is presented. Key features of this model are: an internal state density function depending only on the microscopic energy of internal modes (avoiding the dependence on temperature seen in previous reference studies); full compliance with the H-theorem; feasibility of the closure of the system of moment equations based on the maximum entropy principle, following the well-established procedure of rational extended thermodynamics. The structure of planar shock waves in carbon dioxide (CO\(_2\)) obtained with the present model is in general good agreement with that of previous results, except for the computed internal temperature profile, which is qualitatively different with respect to the results obtained in previous studies, showing here a consistently monotonic behavior across the shock structure, rather than the non monotonic behavior previously found.
期刊介绍:
The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.