Experimental investigation of the shock wave interaction with a spherical gas inhomogeneity

Layes, Guillaume; Jourdan, G.; Houas, L.

doi:10.1063/1.1847111

Cited by 63 publications

(33 citation statements)

References 12 publications

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“…This behavior can be characterized using a simple measurement of the streamwise and transverse dimensions of the shocked bubble. In divergent-geometry shock-bubble interactions, the streamwise dimensions of the bubble have been shown 19,23 to go through a minimum during the passage of the primary shock wave, and then to grow at a nearly constant rate until very late times. The lateral dimensions, on the other hand, grow as vortices form around the bubble, but remain at a relatively constant level subsequently, with some oscillations due to secondary shock waves and the rotation of material around the vortices.…”

Section: Results: Length Scalesmentioning

confidence: 98%

“…Further, we note that the focus in the current study is on the motion and deformation of the bubble by the shock wave. The shock wave itself and the nonlinear-acoustic effects associated with its transit over the bubble cannot be visualized using this technique, but have been characterized thoroughly in the numerical simulations described below, and in the experimental work of Haas and Sturtevant 14 and Layes et al 18,19 …”

Section: Experimental Designmentioning

confidence: 98%

“…These experiments were simulated using two-dimensional numerical schemes by Picone and Boris, 15 Yang et al, 16 and Quirk and Karni. 17 More recently, Layes et al 18,19 have used high-speed shadowgraphy to characterize the temporal development of divergent ͑air-helium͒ and convergent ͑air-krypton͒ shock-bubble interactions. These experiments have been simulated numerically in two dimensions by Giordano and Burtschell 20 and Layes and LeMétayer.…”

Section: Introductionmentioning

confidence: 99%

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Shock-bubble interactions: Features of divergent shock-refraction geometry observed in experiments and simulations

et al. 2008

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The interaction of a planar shock wave with a spherical bubble in divergent shock-refraction geometry is studied here using shock tube experiments and numerical simulations. The particular case of a helium bubble in ambient air or nitrogen ͑A Ϸ −0.8͒ is considered, for 1.4Ͻ M Ͻ 3.0. Experimental planar laser diagnostics and three-dimensional multifluid Eulerian simulations clearly resolve features arising as a consequence of divergent shock refraction, including the formation of a long-lived primary vortex ring, as well as counter-rotating secondary and tertiary upstream vortex rings that appear at late times for M ജ 2. Remarkable correspondence between experimental and numerical results is observed, which improves with increasing M, and three-dimensional effects are found to be relatively insignificant. Shocked-bubble velocities, length scales, and circulations extracted from simulations and experiments are used successfully to evaluate the usefulness of various analytical models, and characteristic dimensionless time scales are developed that collapse temporal trends in these quantities. Those linked directly to baroclinicity tend to follow time scales based on shock wave speeds, while those linked to interface deformation and vortex-or shear-induced motion tend to follow a time scale based on the postshock flow speed, though no single time scale is found to be universally successful.

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Section: Results: Length Scalesmentioning

confidence: 98%

Section: Experimental Designmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Shock-bubble interactions: Features of divergent shock-refraction geometry observed in experiments and simulations

et al. 2008

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“…The numbers of 2 and 3 represent the times of the inward and outward jet formation for the SF 6 bubble with Ma = 1.6, and the number of 6 the time of the outward jet formation for the SF 6 bubble with Ma = 1.23, respectively. The time of the inward jet formation for krypton with Ma = 1.23 is labeled 10 as number 4. Even though no obvious jet is formed for the krypton bubble with Ma = 1.05, there is still a peak (the time of the peak occurrence is labeled as number 5).…”

Section: The Effect Of Shock Strengthmentioning

confidence: 99%

“…The classical experiments focusing on the evolution of the spherical and cylindrical gas interfaces (helium and R22) under a planar shock condition were performed by Haas and Sturtevant [8]. Besides, many efforts were made by Layes et al [9][10][11][12] who dealt with the interaction of a planar shock with a spherical gas interface, in which different shock strengths and different spherical gas interfaces (helium, neon, nitrogen, krypton) were considered. A high-speed planar Mie scattering diagnostic was used by Haehn et al [13,14] to visualize the atomized soap film for an argon bubble in nitrogen and the particle image velocimetry (PIV) was employed to determine the circulation from the area integral of vorticity.…”

Section: Introductionmentioning

confidence: 99%

Jet formation in shock-heavy gas bubble interaction

Zhai

Zou

et al. 2013

Acta Mech Sin

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The influences of the acoustic impedance and shock strength on the jet formation in shock-heavy gas bubble interaction are numerically studied in this work. The process of a shock interacting with a krypton or a SF 6 bubble is studied by the numerical method VAS2D. As a validation, the experiments of a SF 6 bubble accelerated by a planar shock were performed. The results indicate that, due to the mismatch of acoustic impedance, the way of jet formation in heavy gas bubble with different species is diversified under the same initial condition. With respect to the same bubble, the manner of jet formation is also distinctly different under different shock strengths. The disparities of the acoustic impedance result in different effects of shock focusing in the bubble, and different behaviors of shock wave inside and outside the bubble. The analyses of the wave pattern and the pressure variation indicate that the jet formation is closely associated with the pressure perturbation. Moreover, the analysis of the vorticity deposition, and comparisons of circulation and baroclinic torque show that the baroclinic vorticity also contributes to the jet formation. It is concluded that the pressure perturbation and baroclinic vorticity deposition are the two dominant factors for the jet formation in shock-heavy gas bubble interaction.

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A high‐resolution method for compressible two‐fluid flows and simulation of three‐dimensional shock–bubble interactions

Zheng

Lee

2012

Numerical Methods in Fluids

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SUMMARYA high‐resolution method is developed to capture the material interfaces of compressible two‐fluid flows in multiple dimensions. A fluid mixture model system with single velocity and pressure is used, and viscous effect can also be taken into account. A consistent thermodynamic law based on the assumption of pressure equilibrium is employed to describe the thermodynamic behaviors of the pure fluids and mixture of two components. The splitting and unsplit Eulerian formulations of piecewise parabolic method are extended to numerically integrate the hyperbolic part of the model system, whereas the system of diffusion equations is solved using an explicit, central difference scheme. The block‐structured adaptive mesh refinement (AMR) capability is built in the hydrodynamic code to locally improve grid resolution. The resulting method is verified to be at least second‐order accurate in space. Numerical results show that the discontinuities, particularly contact discontinuities, can be resolved sharply. The use of AMR allows flow features at disparate scales to be resolved sufficiently. In addition, three‐dimensional shock–bubble interactions are simulated to investigate effects of Mach number on bubble evolution. The flow structures including those peculiar to three‐dimensional bubble are resolved correctly, and some physical phenomena with increasing Mach number are reported. Copyright © 2012 John Wiley & Sons, Ltd.

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Experimental investigation of the shock wave interaction with a spherical gas inhomogeneity

Cited by 63 publications

References 12 publications

Shock-bubble interactions: Features of divergent shock-refraction geometry observed in experiments and simulations

Shock-bubble interactions: Features of divergent shock-refraction geometry observed in experiments and simulations

Jet formation in shock-heavy gas bubble interaction

A high‐resolution method for compressible two‐fluid flows and simulation of three‐dimensional shock–bubble interactions

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