scholarly journals Review of experimental Richtmyer–Meshkov instability in shock tube: From simple to complex

Author(s):  
Zhigang Zhai ◽  
Liyong Zou ◽  
Qiang Wu ◽  
Xisheng Luo

Richtmyer–Meshkov (RM) instability is regarded as a central role for understanding the hydrodynamic processes involved in inertial confinement fusion, supersonic combustion and supernova explosion. Because of its academic implication and engineering applications, the RM instability has received much attention since it was proposed. As an important tool for studying RM instability, shock tube experiment on shock–fluid interface interaction has been widely adopted and great progress has been achieved in past decades. The generation of a shock wave, the formation of an initial interface and the diagnostic of flow field are the three elements for studying the RM instability experimentally. This review surveys the advances in experimental investigations of RM instability in shock tube environment. Originating from a simple configuration as a planar shock interacting with a simple perturbed interface, the experimental study of RM instability approaches more complex situations like a convergent shock with a simple interface, or a planar shock with a complex interface. It is then expected that the experimental study on the real circumstance may be realized by using a complex shock with a complex interface. Finally, we propose the following issues for future study: (1) evolution of the RM instability induced by cylindrically converging shock waves; (2) effect of the three dimensions on the RM instability; (3) interaction of perturbed shock wave with an initially uniform or perturbed interface; and (4) formation and mixing mechanism of the compressible turbulence in the final stage of the RM instability.

2005 ◽  
Vol 16 (12) ◽  
pp. 2431-2436 ◽  
Author(s):  
Tateyuki Suzuki ◽  
Yoshitaka Sakamura ◽  
Ozer Igra ◽  
Takashi Adachi ◽  
Susumu Kobayashi ◽  
...  

1975 ◽  
Vol 71 (4) ◽  
pp. 769-784 ◽  
Author(s):  
S. A. Sloan ◽  
M. A. Nettleton

A shock-dynamic model based on the symmetrical expansion of the critical shock is used to analyse the progressive decay of an originally planar shock wave through a large and abrupt area change. This is tested against measurements of shock strength made along the axes of area changes where the shock waves are free to expand in two or three dimensions.The critical shock is defined as the configuration when the decaying shock wave at the axis first becomes curved. The axial shock begins to decay less than one diameter from the entrance of the area change. Differences between the experimental onset of decay and the theoretical position of the critical shock are accounted for by the non-ideal behaviour of a practical pressure transducer.The model predicts that, when the shock wave is decaying symmetrically, there is a linear relationship between a derived function ε of the decaying shock strength and the distance from the area change. This is confirmed experimentally for all the shocks studied. The quantitative application of the results in three dimensions up to 400 mm enables accurate predictions of experimental results at 1 m for M < 2·0. Also, the model may be applied to three-dimensional results to predict accurately equivalent results in two dimensions.The numerical values of ε are based on the equivalence of the ratio of the shock areas and the ratio of their Chisnell (1957) functions. Hence correlations between experimental results and predictions of the model are evidence that Chisnell's theory can be extended to include large and abrupt area changes.


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