Breakup process of a droplet under the impact of a shock wave
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摘要: 对液滴在入射激波作用下的变形破碎过程进行了实验研究和数值模拟，得知数值模拟结果与实验结果基本吻合，以及在什么情况下两者出现分歧。结果显示，液滴在激波的作用下要经历从压缩变形、RM不稳定性变形、细小液雾剥离到全部雾化破碎等过程。结果还表明，不同液滴直径、入射激波马赫数和液滴介质等参数下的液滴变形破碎的发展趋势是一致的，而其发展速度明显则不同。其中Weber数的增加加速了液滴的破碎，而Ohnesorge数和黏性的增加则抑制了液滴的破碎。Abstract: In this work we carried out an experimental study along with a numerical simulation of the processes of a droplet deformation and breakup induced by an incident shock wave. The numerical results basically agreed with the experimental results but also identified the conditions under which discrepancies might occur. The results provide a full show of the whole processes of the droplet deformation and breakup: first, the droplet is deformed due to the shock wave compressing and RM instability, then small fogdrops are divorced from the deformed droplet, and in the end the droplet is completely broken up into fogdrops. Due to differences in such flow parameters as droplet diameter, the incident shock wave number, droplet varieties, etc., the development processes of droplets may have markedly different speed although they share similar trends. The results also show that the increase of Weber number accelerates the breakup of the droplet whereas that of Ohnesorge number and viscosity contains it.
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Key words:
- fluid mechanics /
- breakup /
- shock wave /
- droplet /
- deformation /
- RM instability
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图 3 实验1~3的数值模拟结果(左)与实验照片(右)(Δt=0.25 ms)
Figure 3. Numerical simulation (left) and experimental (right) results of experiments 1-3
图 4 实验1~3液滴横向直径与初始直径之比
Figure 4. Ratio of transverse diameter andinitial diameter of experiments 1-3
图 5 实验4的数值模拟结果(左)与实验照片(右)(Δt=0.25 ms)
Figure 5. Numerical simulation (left) andexperimental (right) results of experiment 4
表 1 实验参数
Table 1. Experimental parameters
实验 液滴 Ma d0/mm We Oh 1 水 1.10 1.64 94.48 0.002 9 2 水 1.10 2.16 124.44 0.002 6 3 水 1.10 2.46 141.72 0.002 4 4 水 1.25 1.68 518.75 0.002 9 5 甘油 1.10 2.46 167.23 3.450 0 
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