用浮阻力模型研究Richtmyer-Meshkov不稳定性诱导混合

杨玟; 王丽丽; 周海兵; 张树道

doi:10.11883/1001-1455(2015)03-0423-05

用浮阻力模型研究Richtmyer-Meshkov不稳定性诱导混合

doi: 10.11883/1001-1455(2015)03-0423-05

杨玟^1,,
王丽丽^{1, 2},
周海兵^{1, 2},
张树道^{1, 2}

1.
北京应用物理与计算数学研究所, 北京 100094
2.
北京大学应用物理与技术研究中心, 北京 100871

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)

详细信息

作者简介:
杨玟(1970-), 女, 博士, 副研究员, yang_min@iapcm.ac.cn

中图分类号: O358
计量
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- 被引次数: 0
出版历程
- 收稿日期: 2013-11-28
- 修回日期: 2014-06-28
- 刊出日期: 2015-05-25

Study on mixing induced by Richtmyer-Meshkov instability by using buoyancy-drag model

Yang Min^1
,,
Wang Li-li^{1, 2},
Zhou Hai-bing^{1, 2},
Zhang Shu-dao^{1, 2}

1.
Insitute of Applied Physics and Computational Mathematics, Beijing 100094, China
2.
Center for Applid Physics and Tchnology, Peking University, Beijing 100871, China

摘要

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。
- 流体力学 /
- Richtmyer-Meshkov不稳定性 /
- 浮阻力模型 /
- 扰动界面 /
- 压缩比
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.
- fluid mechanics /
- Richtmyer-Meshkov instability /
- buoyancy-drag model /
- disturbed interface /
- compression ratio

HTML全文

图 1 计算采用的4种不同脉冲加速度曲线

Figure 1. Four kinds of impulsive accelerations used in the calculation

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图 2 气泡和尖钉宽度随位移的变化

Figure 2. The width of bubble and spike with displacement

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图 3 Nova实验中的加速度曲线

Figure 3. Acceleration history for Nova experiment

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图 4 混合区宽度随位移的变化

Figure 4. Variaion of total width with displacement

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表 1 实验中采用的流体和脉冲加速度性质参数

Table 1. Fluid combinations and characteristics for impusive accerleration experiments

No.	流体1	流体2	ρ₁/(g·cm^-3)	ρ₂/(g·cm^-3)	R	A	We	Re
1	H₂O	CCl₂F₂	1.000	1.57	1.57	0.22	4 000	2 600
2	SF₆	C₄H₁₀	0.067	0.81	12.10	0.85	1 100	8 000
3	SF₆	CCl₂F₂	0.067	1.57	23.40	0.92	11 000	23 000
4	SF₆	CCl₂F₂	0.032	1.57	49.10	0.96	6 000	25 000

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参考文献(17)

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