Oscillations of a standing shock wave generated by the Richtmyer-Meshkov instability

Mikaelian, Karnig O.

doi:10.1103/PhysRevFluids.1.033601

Title: Oscillations of a standing shock wave generated by the Richtmyer-Meshkov instability

Journal Article · Wed Jul 13 00:00:00 EDT 2016 · Physical Review Fluids

DOI:https://doi.org/10.1103/PhysRevFluids.1.033601· OSTI ID:1297656

Mikaelian, Karnig O. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

In a typical Richtmyer-Meshkov experiment a fast moving flat shock strikes a stationary perturbed interface between fluids A and B creating a transmitted and a reflected shock, both of which are perturbed. We propose shock tube experiments in which the reflected shock is stationary in the laboratory. Such a standing perturbed shock undergoes well-known damped oscillations. We present the conditions required for producing such a standing shock wave, which greatly facilitates the measurement of the oscillations and their rate of damping. We define a critical density ratio R^critical, in terms of the adiabatic indices of the two fluids, and a critical Mach number M^critical_s of the incident shock wave, which produces a standing reflected wave. If the initial density ratio R of the two fluids is less than R^critical then a standing shock wave is possible at M_s=M^critical_s. Otherwise a standing shock is not possible and the reflected wave always moves in the direction opposite the incident shock. Examples are given for present-day operating shock tubes with sinusoidal or inclined interfaces. We consider the effect of viscosity, which affects the damping rate of the oscillations. Furthermore, we point out that nonlinear bubble and spike amplitudes depend relatively weakly on the viscosity of the fluids and that the interface area is a better diagnostic.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1297656

Alternate ID(s):: OSTI ID: 1262445

Report Number(s):: LLNL-JRNL-681121

Journal Information:: Physical Review Fluids, Vol. 1, Issue 3; ISSN 2469-990X

Publisher:: APSCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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