Richtmyer-Meshkov instability induced by shock-bubble interaction: Numerical and analytical studies with experimental validation

Giordano, J.; Burtschell, Yves

doi:10.1063/1.2185685

Cited by 85 publications

(62 citation statements)

References 31 publications

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“…The Richtmyer-Meshkov instability is generated by the interaction of the contact discontinuity (boundary of the heated channel) and the bow shock front which are under an angle with each other. So this situation is in accordance with the conditions of the Richtmyer-Meshkov instability initiation described in [10]. Fig.…”

Section: Richtmyer-meshkov Instability Generation and The Baroclinic supporting

confidence: 85%

Generation of Richtmyer–Meshkov and secondary instabilities during the interaction of an energy release with a cylinder shock layer

Azarova

2015

Aerospace Science and Technology

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Section: Richtmyer-meshkov Instability Generation and The Baroclinic supporting

confidence: 85%

Generation of Richtmyer–Meshkov and secondary instabilities during the interaction of an energy release with a cylinder shock layer

Azarova

2015

Aerospace Science and Technology

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“…5, flame initially moves towards right and becomes thin along with the time, the funnel grows linearly and arrives at right front of bubble before the occurrence of focusing (114 µs). At this point, the evolution of flame fronts is similar to that in inert case of references [22] and [23]. After shock focusing, left front of the distorted flame is slightly left-going, whereas the right front of the deformed flame continues to go towards right.…”

Section: Weak Shock Wave Casementioning

confidence: 64%

Numerical simulations of interactions between a flame bubble with an incident shock wave and its focusing wave

Dong

Fan

Gui

et al. 2009

Proceedings of the Institution of Mechanical Engineers, Part C:

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The numerical investigations of interactions between a flame bubble with an incident shock wave (IW) and its focusing wave (FW) in a reactive CH 4 -O 2 -N 2 mixture are presented. The time-dependent, two-dimensional axisymmetric, reactive Navier-Stokes equations, with detailed chemical mechanisms, are employed to simulate the multiple shock-flame interactions process. The effects of the IW Mach number and chemical reactivity of mixture on flame structure and evolution are examined. The results of simulations show that the initial flame bubble can interact with IW, bow wave (BW), reflected BW, and FW in sequence. For the weak IW case, the repeated shock-flame interactions produce multiple Richtmyer-Meshkov (RM) instabilities that lead to the convolved flame with vortex structures, and the chemical heat release does not play a major role. While for the strong IW case, the multiple RM instabilities lead to the highly distorted flame with the complex vortices structures of large magnitude. With the lower reactive mixture, the instability process is the major mechanism for shock-flame interaction, while the chemistry only plays a minor role. However, with the higher reactive mixture, the distorted flame expands rapidly and finally forms the large-scale combustion through the interaction with FW. Both instability and chemical heat release play the important mechanisms in this case. The combustion acceleration in the highly reactive mixture can produce the stronger overpressure and the higher propagation speed of complex FW because of the chemi-acoustic interaction effect.

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“…In addition, the developments of Freon-12 in air and helium environments were observed by Cowperthwaite and it was found that the flow density and velocity behind the shock coincide with the theoretical predictions [18]. Moreover, Giordano and Burtschell [19] concerned and compared the development of cylindrical and spherical heavy gas bubbles, and evaluated the change of bubble volume at later stage using a theoretical model. Recently, Raptor was adopted by Niederhaus et al for a parametric study in which several gases, such as helium, krypton and R12 were involved and several shock Mach numbers ranging from 1.1 to 5.0 were considered, and the interface compressibility ratio as well as the change of circulation was compared [20].…”

Section: Introductionmentioning

confidence: 79%

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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Richtmyer-Meshkov instability induced by shock-bubble interaction: Numerical and analytical studies with experimental validation

Cited by 85 publications

References 31 publications

Generation of Richtmyer–Meshkov and secondary instabilities during the interaction of an energy release with a cylinder shock layer

Generation of Richtmyer–Meshkov and secondary instabilities during the interaction of an energy release with a cylinder shock layer

Numerical simulations of interactions between a flame bubble with an incident shock wave and its focusing wave

Jet formation in shock-heavy gas bubble interaction

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