An elaborate experiment on the single-mode Richtmyer–Meshkov instability

Abstract

High-fidelity experiments of Richtmyer–Meshkov instability on a single-mode air/$\text{SF}_{6}$ interface are carried out at weak shock conditions. The soap-film technique is extended to create single-mode gaseous interfaces which are free of small-wavelength perturbations, diffusion layers and three-dimensionality. The interfacial morphologies captured show that the instability evolution evidently involves the smallest experimental uncertainty among all existing results. The performances of the impulsive model and other nonlinear models are thoroughly examined through temporal variations of the perturbation amplitude. The individual growth of bubbles or spikes demonstrates that all nonlinear models can provide a reliable forecast of bubble development, but only the model of Zhang & Guo (J. Fluid Mech., vol. 786, 2016, pp. 47–61) can reasonably predict spike development. The distinct images of the interface morphology obtained also provide a rare opportunity to extract interface contours such that a spectral analysis of the interfacial contours can be performed, which realizes the first direct validation of the high-order nonlinear models of Zhang & Sohn (Phys. Fluids, vol. 9, 1997, pp. 1106–1124) and Vandenboomgaerde et al. (Phys. Fluids, vol. 14 (3), 2002, pp. 1111–1122) in terms of the fundamental mode and high-order harmonics. It is found that both models show a very good and almost identical accuracy in predicting the first two modes. However, the model of Zhang & Sohn (1997) becomes much more accurate in modelling the third-order harmonics due to the fewer simplifications used.

On divergent Richtmyer–Meshkov instability of a light/heavy interface

“…For more details, the reader is referred to Zhai et al (2010). A novel soap film technique, which has been developed recently to generate well-defined gas interfaces free of short-wavelength perturbations, diffusion layer and three-dimensionality in a planar geometry (Liu et al 2018), is extended to the present divergent test section. As illustrated in figure 1(b), two transparent devices S 1 and S 2 (made by a 3.0 mm thick acrylic plate) whose connecting boundaries possess a sinusoidal shape, are manufactured by a high-precision engraving machine.…”

Richtmyer–Meshkov instability on a dual-mode interface

“…Recently, these models have been thoroughly examined by a series of high-fidelity experiments (Liu et al. 2018).…”

Advances in interfacial instability induced by reshock

“…激波诱导界面不稳定性, 又称为激波与界面相互 作用或Richtmyer-Meshkov (RM)不稳定性, 最早是由 Richtmyer [1] 在1960年做出理论预测, 并由Meshkov [2] [3] 、航天火箭发动机 [4] 、天体物理 [5] 等领域有着重要的研究和应用价值. 如, 它是惯性约束 [6][7][8][9][10][11][12][13][14][15][16][17][18][19] , 我国 学者也开展了丰富的研究工作并取得一系列重要进 展 [20][21][22][23][24][25][26][27][28][29] . 近年来, 相关的专题综述已经4次在Annual Review of Fluid Mechanics上发表 [30][31][32][33] .…”