Richtmyer-Meshkov instability of a single-mode interface with reshock

WANG Honghui; DING Juchun; SI Ting; LUO Xisheng

doi:10.7638/kqdlxxb-2021.0153

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Richtmyer-Meshkov instability of a single-mode interface with reshock

更新时间：2026-05-28

- Richtmyer-Meshkov instability of a single-mode interface with reshock
- Vol. 40, Issue 1, Pages: 33-40(2022)
- 作者机构：
  
  中国科学技术大学近代力学系,合肥,230026
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2021.0153
  CLC： O354.5
- Published：2022
- 稿件说明：
移动端阅览
王宏辉, 丁举春, 司廷, 等. 反射激波冲击单模界面的不稳定性实验研究[J]. 空气动力学学报, 2022, 40(1): 33−40.

WANG Honghui, DING Juchun, SI Ting, et al. Richtmyer-Meshkov instability of a single-mode interface with reshock[J]. 2022, 40(1): 33-40.
王宏辉, 丁举春, 司廷, 等. 反射激波冲击单模界面的不稳定性实验研究[J]. 空气动力学学报, 2022, 40(1): 33−40. DOI： 10.7638/kqdlxxb-2021.0153

WANG Honghui, DING Juchun, SI Ting, et al. Richtmyer-Meshkov instability of a single-mode interface with reshock[J]. 2022, 40(1): 33-40. DOI： 10.7638/kqdlxxb-2021.0153.

摘要

激波诱导流体界面失稳问题广泛存在于惯性约束核聚变、超燃冲压发动机、武器内爆等工程应用中，相关研究具有重要意义。本文在改进的水平激波管中开展入射激波及其反射激波诱导单模气体界面失稳的实验研究，采用线约束肥皂膜技术生成较为理想的空气/六氟化硫（air/SF

）单模气体界面，借助高速纹影技术捕捉激波冲击界面后的详细不稳定性演化过程，重点关注反射距离对不稳定性发展的影响（反射距离定义为初始界面和激波管尾端固壁的距离）。研究发现，在一定反射距离范围内，反射激波作用后的扰动增长率几乎为一个恒定值，与反射距离无关（即与反射激波作用前的扰动振幅及增长率无关），随着反射距离的进一步增大，扰动增长率降低。通过实验测量值与理论预测值的对比，发现Mikaelian模型和Charakhch'an模型（采用合适的经验系数）均能对反射激波作用界面后的扰动增长率给予有效预测，且这两种模型的经验系数都依赖于反射激波作用前的界面演化状态，如果反射距离的改变引起/（不引起）界面演化状态的变化，则需要/（不需要）改变经验系数的值。

Abstract

The Richtmyer-Meshkov instability (RMI) occurs widely in man-made applications such as inertial confinement fusion

supersonic combustion

and weapon implosion

and thus has become an important research topic over recent decades. A key element for experiments on RMI is the interface formation. In this manuscript

a novel soap-film technique is adopted to generate well-characterized single-mode air/SF

interfaces. A planar shock tube in University of Science of Technology is improved by placing a solid wall at the tail end such that a reflected shock wave

is created when the incident shock arrives there. In this way

the experimental study on the RMI at a single-mode interface impacted successively by the incident and reflected shock waves is realized. Detailed structures of the evolving interface and wave patterns are captured by a schlieren system combined with the high-speed imaging technique. Special attention is paid to the effect of reflection distance (defined as the distance between the initial interface and the end wall of shock tube) on the instability development. It is found that the post-reshock growth rate of perturbation amplitude keeps nearly constant while increasing the reflection distance within a certain range. When the reflection distance exceeds a certain value

the post-reshock growth rate decreases. This is ascribed to two factors: 1) for large reflection distance cases

the interface becomes rather distorted with numerous small-scale vortices before the arrival of a reflected shock and also exhibits visible three-dimensionality; 2) during the passage of a reflected shock across a large-amplitude interface

shock-shock interaction occurs and produces considerable pressure disturbance

which further affects the instability development. By comparing the measured growth rate with theoretical prediction

we find that both Mikaelian and Charakhch'an models (with appropriate empirical coefficient) are able to give a reasonable prediction of the post-reshock growth rate. It is also found that the empirical coefficient in each model is sensitive to the interface status immediately before the impact of reflected shock.

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references

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