气体体积粘性对二维环形激波聚焦的影响

计算物理 ›› 2017, Vol. 34 ›› Issue (4): 394-402.

气体体积粘性对二维环形激波聚焦的影响

李馨东¹, 赵英奎¹, 欧阳碧耀¹, 胡宗民², 姜宗林²

1. 北京应用物理与计算数学研究所, 北京 100094;
2. 中国科学院力学研究所, 北京 100190

收稿日期:2016-11-14 修回日期:2016-12-18 出版日期:2017-07-25 发布日期:2017-07-25
通讯作者: 胡宗民(1970-),博士,副教授,从事激波与爆轰物理,高超声速流动等研究,E-mail:huzm@imech.ac.cn
作者简介:李馨东(1988-),男,博士后,从事气体动力学、界面不稳定性研究,E-mail:xin_dongli@yeah.net
基金资助:
国家自然科学基金（11532014，11672308）资助项目

Numerical Investigation of Bulk Viscosity Effect on Two-dimensional Toroidal Shock Wave Focusing

LI Xindong¹, ZHAO Yingkui¹, OUYANG Biyao¹, HU Zongmin², JIANG Zonglin²

1. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
2. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

Received:2016-11-14 Revised:2016-12-18 Online:2017-07-25 Published:2017-07-25

摘要/Abstract

摘要： 基于体积粘性系数ζ的分子运动论和连续介质理论，对二维环形激波聚焦（马赫数Ma=2.0）的体积粘性效应进行数值研究，结果表明：对于热完全气体，体积粘性使得激波汇聚中心点处的压力减小、温度增加、密度减小，聚焦点物理参数的改变量分别可达20%、10%、30%，体积粘性效应对环形激波聚焦的影响是不可忽略的；与转动模态相比，在振动模态下环形激波聚焦的体积粘性效应更为明显，因为激波聚焦点附近的体积粘性应力ζ▽·V与热力学压力p达到同一数量级，从而显著改变了流动参数.

关键词: 可压缩流动, 热完全气体, 体积粘性效应, 激波聚焦

Abstract: With kinetic and continuum theories of bulk viscosity coefficient, bulk-viscosity effect on two-dimensional toroidal shock-wave focus (Mach number Ma=2.0) is studied numerically. It shows that bulk-viscosity effect on toroidal shock-wave focusing is not negligible for perfect gases. Due to bulk viscous effect in compressible flows, pressure, temperature and density at the central focus perform 20% reduction, 10% increase and 30% reduction, respectively. Compared with rotational mode, shock wave focusing present obvious bulk-viscosity effect in vibrational mode, since bulk viscous stress has same order of magnitude with thermodynamic pressure.

Key words: compressible flow, thermally perfect gas, bulk viscosity effect, shock-wave focus

中图分类号:

李馨东, 赵英奎, 欧阳碧耀, 胡宗民, 姜宗林. 气体体积粘性对二维环形激波聚焦的影响[J]. 计算物理, 2017, 34(4): 394-402.

LI Xindong, ZHAO Yingkui, OUYANG Biyao, HU Zongmin, JIANG Zonglin. Numerical Investigation of Bulk Viscosity Effect on Two-dimensional Toroidal Shock Wave Focusing[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 34(4): 394-402.

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