Mach number effects on shock-bubble interaction

Shock Waves ◽  
2001 ◽  
Vol 11 (3) ◽  
pp. 209-218 ◽  
Author(s):  
A. Bagabir ◽  
D. Drikakis
2007 ◽  
Vol 98 (2) ◽  
Author(s):  
Devesh Ranjan ◽  
John Niederhaus ◽  
Bradley Motl ◽  
Mark Anderson ◽  
Jason Oakley ◽  
...  

2003 ◽  
Vol 21 (3) ◽  
pp. 335-339 ◽  
Author(s):  
K. LEVY ◽  
O. SADOT ◽  
A. RIKANATI ◽  
D. KARTOON ◽  
Y. SREBRO ◽  
...  

The passage of a shock wave through a spherical bubble results in the formation of a vortex ring. In the present study, simple dimensional analysis is used to show that the circulation is linearly dependent on the surrounding material speed of soundcsand the initial bubble radiusR. In addition, it is shown that the velocities characterizing the flow field are linearly dependent on the speed of sound, and are independent of the initial bubble radius. The dependence of the circulation on the shock wave Mach numberMis derived by Samtaney and Zabusky (1994) as (1 + 1/M+ 2/M2) (M− 1). Experiments were performed for slow/fast (air-helium) and fast/slow (air-SF6) interactions. Full numerical simulations were conducted resulting in good agreement. From the results, it is seen that in both cases, according to the proposed scaling, the vortex ring velocity is bubble radius independent. The numerical results for the slow/fast interaction show that the proposed Mach scaling is valid forM< 2. AboveM≅ 2, the topology of the bubble changes due to a competition between the upstream surface of the bubble and the undisturbed shock wave.


2016 ◽  
Vol 47 (6) ◽  
pp. 563-579
Author(s):  
Sergey Alexandrovich Takovitskii

1989 ◽  
Author(s):  
GLOYD SIMMONS ◽  
GORDON NELSON ◽  
ROBERT HIERS ◽  
ARTHURB. WESTERN

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