The Effect of Shock Wave Strength on Shock Bubble Interaction

Abstract

The three-dimensional shock-bubble interaction is investigated numerically using high-resolution piecewise parabolic method, in which both the viscous and turbulence effects are considered. The bubble is fixed at the same size and is accelerated by a planar shock wave of different strengths, in which the Mach number (Ma) ranges from 1.2 to 6.0. The bubbles are filled with four different gases (Helium, Nitrogen, Krypton and R12) surrounded by air in order to investigate different density jumps across the interface (Atwood number -0.8<A<0.7). The computational results of low Ma cases agree well with that of experiments quantitatively. The deformation process of bubble geometry is quite different as the change of A and Ma, particularly for A>0 and A<0. In all cases, statistical quantities like the compression ratio, mean bubble fluid velocity and mixing ratio are studied in detail. As the increase of Ma for fixed A, the compression ratio is highly raised, and the time-dependent mean bubble velocity is influenced as well. In addition, the 'mixedness' between two fluids is enhanced greatly as Ma increases. More importantly, it is found that some existed scaling laws of these quantities for the shock wave strength can't be directly applied to high Ma cases.