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Observations of three-dimensional Richtmyer-Meshkov instability on a membraneless gas bubble

Hong-Yu Chu and Dong-Kai Chen

Department of Physics, National Chung Cheng University, ChiaYi, Taiwan 62102, Republic of China

Phys. Rev. E 87, 051002(R) – Published 17 May, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.051002

Abstract

We investigate the three-dimensional evolution of shock impact on a membraneless gas bubble. When a shock wave impacts a gas interface, gas layer is generally perturbed via the Richtmyer-Meshkov instability. We show the vortex structure evolves from the merging process of the extending spikes on the compressed D-shaped surface via the Richtmyer-Meshkov instability. The spikes are found to have a linear growth before 11 $μ$ s (of 1.4 mm). A ripple-typed fluctuating ring structure is observed and discussed with the scaling relation. We also notice that a thin layer exists in the intersection of the counterpropagating shock shells. The superposition of the rarefaction waves from both sides of the intersection is suspected to be responsible for the density change.

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References (19)

R. Richtmyer, Commun. Pure Appl. Math. 13, 297 (1960).
E. Meshkov, Fluid Dyn. 4, 101 (1969).
T. E. Faber, Fluid Dynamics for Physicists (Cambridge University Press, Cambridge, 1995).
K. Prestridge, P. Vorobieff, P. M. Rightley, and R. F. Benjamin, Phys. Rev. Lett. 84, 4353 (2000).
P. R. Chapman and J. W. Jacobs, Phys. Fluids 18, 074101 (2006).
G. Layes, G. Jourdan, and L. Houas, Phys. Rev. Lett. 91, 174502 (2003).
D. Ranjan, J. Niederhaus, B. Motl, M. Anderson, J. Oakley, and R. Bonazza, Phys. Rev. Lett. 98, 024502 (2007).
A. Sasoh, T. Ohtani, and K. Mori, Phys. Rev. Lett. 97, 205004 (2006).
Koichi Mori, Phys. Fluids 24, 054105 (2012).
J. Giordano and Y. Burtschell, Phys. Fluids 18, 036102 (2006).
S. H. Hosseini and K. Takayama, Phys. Fluids 17, 084101 (2005).
P. Vorobieff et al., Phys. Rev. E 68, 065301(R) (2003).
Peter Vorobieff et al., Phys. Rev. Lett. 106, 184503 (2011).
G. Jourdan and L. Houas, Phys. Rev. Lett. 95, 204502 (2005).
J. J. Wylie, Q. Zhang, and X. Sun, Phys. Rev. Lett. 97, 104501 (2006).
H.-Y. Chu and M.-C. Si, Appl. Phys. Lett. 95, 181502 (2009).
H.-Y. Chu, S.-B. Lin, and C.-R. Ko, Appl. Phys. Lett. 97, 051503 (2010).
Ya. B. Zel'dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena (Academic Press, New York, 1966).
P. G. Saffman, J. Fluid Mech. 84, 625 (1978).