激波两次冲击下重气柱Richtmyer-Meshkov不稳定性的粒子图像测速研究

廖深飞; 邹立勇; 刘金宏; 黄熙龙; 柏劲松; 王彦平

doi:10.11858/gywlxb.2016.06.005

激波两次冲击下重气柱Richtmyer-Meshkov不稳定性的粒子图像测速研究

doi: 10.11858/gywlxb.2016.06.005

中国工程物理研究院流体物理研究所冲击波物理与爆轰物理实验室，四川绵阳 621999

基金项目:

国家自然科学基金 11172278

国家自然科学基金 11472253

国家自然科学基金 11302201

中国工程物理研究院科学技术发展基金 2014B0201017

详细信息

作者简介:
廖深飞(1985-), 男, 博士, 助理研究员, 主要从事流体动力学界面不稳定性的实验研究.E-mail:sfliao@caep.cn

中图分类号: O354.5
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出版历程
- 收稿日期: 2015-08-31
- 修回日期: 2016-01-04

A Particle Image Velocimetry Study of Richtmyer-Meshkov Instability in a Twice-Shocked Heavy Gas Cylinder

National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, CAEP, Mianyang 621999, China

摘要

摘要: 采用粒子图像测速(PIV)技术，实验研究了激波两次冲击空气环境中重气体SF₆气柱的Richtmyer-Meshkov(RM)不稳定性，定量表征了流场的速度、涡量和环量。结果表明，激波首次冲击气柱后，界面演化成初始涡对，且在较长时间内涡强度的变化很小。激波二次冲击气柱后：当反射距离较小时，界面衍生出二次涡对，其旋转方向与初始涡对的旋转方向相反，强度显著小于初始涡对的强度；当反射距离较大时，则不衍生大尺度涡结构。初始涡对的环量在激波二次冲击气柱后随时间逐渐减小，说明能量逐渐由流场中的大尺度结构转移至小尺度结构。利用PIV技术得到的初始涡对和二次涡对的环量与理论模型的预测结果吻合较好。
- Richtmyer-Meshkov不稳定性 /
- 二次冲击 /
- 粒子图像测速 /
- 速度场 /
- 环量
Abstract: The Richtmyer-Meshkov (RM) instability in a twice-shocked heavy gas (SF₆) cylinder surrounded by ambient air is experimentally studied using the particle image velocimetry (PIV) technique, and the velocity and vorticity fields as well as the circulation of the flow are quantitatively characterized. The results show that after the first shock-interface interaction, the evolution of the interface is dominated by the formation of a primary vortex pair, whose strength undergoes little change over a relatively long time; but after a reshock, for a short endwall distance, a secondary vortex pair, with its rotation opposite to the primary vortex pair, is formed whose strength is significantly weaker than that of the primary vortex pair, while, for a long endwall distance, no large scale vortex structure is formed. The circulation of the primary vortex pair decreases over time after the reshock, which suggests that the energy is being transferred from the large scale structures to the smaller ones in the flow. The circulations of the primary and secondary vortex pairs are remarkably consistent with the predictions by the theoretical models.
- Richtmyer-Meshkov instability /
- reshock /
- particle image velocimetry /
- velocity field /
- circulation

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图 1 实验装置示意图

Figure 1. Schematic illustration of experimental devices

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图 2 3种反射距离下气柱界面形态的演化

Figure 2. Morphological evolution of the gas cylinder for 3 endwall distances

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图 3 3种反射距离下气柱速度场和涡量场的演化

Figure 3. Evolutions of the velocity and vorticity fields of the gas cylinder for 3 endwall distances

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图 4 速度场和λ₂的等值线图(图 3中实线方框标示区域)

Figure 4. Velocity field and contour of λ₂ (Area marked by the solid line box in Fig. 3)

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图 5 K模型参数定义示意图(a)及环量随时间的变化(b)(l₀=L₀/D₀, t=0为反射激波二次冲击气柱的时刻)

Figure 5. (a) Schematic of parameter definition for K model; (b) Variations of circulation with time (l₀=L₀/D₀; t=0 is the time when the gas cylinder is reshocked by a reflected shock wave)

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表 1 3种反射距离下PIV的测量时刻

Table 1. Times of PIV measurements for 3 endwall distances

L₀/(mm) Reshock time/(μs) Times of PIV measurements/(μs)

100 450 420, 650, 750, 1 050

150 670 640, 870, 970, 1 270

210 900 870, 1 100, 1 200, 1 500

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