Acta Mechanica Sinica

, Volume 35, Issue 4, pp 740–749 | Cite as

Numerical study on shock–dusty gas cylinder interaction

  • Jingyue Yin
  • Juchun DingEmail author
  • Xisheng Luo
  • Xin Yu
Research Paper


The interaction of a planar shock wave with a dusty-gas cylinder is numerically studied by a compressible multi-component solver with an adaptive mesh refinement technique. The influence of non-equilibrium effect caused by the particle relaxation, which is closely related to the particle radius and shock strength, on the evolution of particle cylinder is emphasized. For a very small particle radius, the particle cloud behaves like an equilibrium gas cylinder with the same physical properties as those of the gas–particle mixture. Specifically, the transmitted shock converges continually within the cylinder and then focuses at a region near the downstream interface, producing a local high-pressure zone followed by a particle jet. Also, noticeable secondary instabilities emerge along the cylinder edge and the evident particle roll-up causes relatively large width and height of the shocked cylinder. As the particle radius increases, the flow features approach those of a frozen flow of pure air, e.g., the transmitted shock propagates more quickly with a weaker strength and a smaller curvature, resulting in an increasingly weakened shock focusing and particle jet. Also, particles would escape from the vortex core formed at late stages due to the larger inertia, inducing a greater particle dispersion. It is found that a large particle radius as well as a strong incident shock can facilitate such particle escape. The theory of Luo et al. (J. Fluid Mech., 2007) combined with the Samtaney–Zabusky (SZ) circulation model (J. Fluid Mech., 1994) can reasonably explain the high dependence of particle escape on the particle radius and shock strength.


Dusty-gas cylinder Non-equilibrium effect Shock wave Instability 



This work was supported by the National Natural Science Foundation of China (Grants 11802304 and 11625211) and the Science Challenging Project (Grant TZ2016001).


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Beijing Institute of Applied Physics and Computational MathematicsBeijingChina
  2. 2.Advanced Propulsion Laboratory, Department of Modern MechanicsUniversity of Science and Technology of ChinaHefeiChina

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