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用浮阻力模型研究Richtmyer-Meshkov不稳定性诱导混合
引用本文:杨玟,王丽丽,周海兵,张树道.用浮阻力模型研究Richtmyer-Meshkov不稳定性诱导混合[J].爆炸与冲击,2015,35(3):423-427.
作者姓名:杨玟  王丽丽  周海兵  张树道
作者单位:1.北京应用物理与计算数学研究所, 北京 100094
基金项目:国家自然科学基金项目(11072040);装备预研重点实验室基金项目(9140C690204120C69259);中国工程物理研究院科学技术发展基金项目(2012B0201028、2012B0201030)
摘    要:采用浮阻力模型对激波管低压缩和激光加载高压缩情况下的Richtmyer-Meshkov不稳定性诱导混合现象进行了研究。通过与实验和理论分析结果进行比较发现:为了达到好的吻合, Richtmyer-Meshkov不稳定性情况下阻力系数的取值范围(2.0~5.36)比Rayleigh-Taylor不稳定性情况下的值(3.3~4.0)宽得多; 而在Richtmyer-Meshkov不稳定性情况下, 高压缩时阻力系数的不确定度(约为3.36)明显高于低压缩时的值(约为1.46), 模型的进一步完善还有待于更精确实验的验证。研究显示:指数律经验公式中指数随工况的不同而显著变化, 目前工程设计中采用指数律经验公式是粗糙的。

关 键 词:流体力学    Richtmyer-Meshkov不稳定性    浮阻力模型    扰动界面    压缩比
收稿时间:2013-11-28

Study on mixing induced by Richtmyer-Meshkov instability by using buoyancy-drag model
Yang Min , Wang Li-li , Zhou Hai-bing , Zhang Shu-dao.Study on mixing induced by Richtmyer-Meshkov instability by using buoyancy-drag model[J].Explosion and Shock Waves,2015,35(3):423-427.
Authors:Yang Min  Wang Li-li  Zhou Hai-bing  Zhang Shu-dao
Institution:1.Insitute of Applied Physics and Computational Mathematics, Beijing 100094, China2.Center for Applid Physics and Tchnology, Peking University, Beijing 100871, China
Abstract:The mixing induced by Richtmyer-Meshkov instability under lower and high compression ratios is studied by using buoyancy-drag model.It is found by the comparison between the experimental and theoretical analytic results that in order to achieve good agreement, the range of the drag coefficient value chosen in Richtmyer-Meshkov instability is much wider than that in Rayleigh-Taylor instability; while in Richtmyer-Meshkov instability the uncertainty of the drag coefficient under high compression is larger than that under lower compression.It is pointed that the further improvement of the model needs to be validated by more accurate experiment.Moreover the study reveals that the exponent in empirical expression varies with calculation conditions remarkably and the use of the empirical expression in current engineering design is rough.
Keywords:fluid mechanics  Richtmyer-Meshkov instability  buoyancy-drag model  disturbed interface  compression ratio
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