Abstract
An experimental study of a twice-accelerated Richtmyer–Meshkov instability, where reshock provides the second acceleration, focusing on the effects of initial conditions and circulation deposition is presented. Experiments were performed using the inclined shock tube facility at the Shock Tube and Advanced Mixing Laboratory. Three experimental cases are presented that have the same Atwood number, inclination angle, and Mach number, but are differentiated by their pre-reshock development time. Both Mie scattering and particle image velocimetry diagnostics were implemented. Velocity statistics were ensemble-averaged over instantaneous realizations for each case before and after reshock. Results show that while the mix width decreases after reshock, the interface length continues to increase because the reshock wave amplifies small-scale perturbations on the pre-reshock interface, resulting in greater mixing. A more developed interface also experiences greater circulation deposition after reshock. After reshock, the sign of the vorticity near the interface reverses due to a second application of baroclinic torque by the reshock wave. Velocity statistics showed that the cross-correlation (\(\overline{u'v'}\)) is nonzero over much of the mixing layer, which indicates that shear and anisotropy are present. Turbulent kinetic energy spectra for the most developed case after reshock exhibited a \(k^{-5/3}\) inertial range.
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Acknowledgments
The authors are grateful to Skylar Creel for helping with the experiments. This work was partially supported by the National Science Foundation Faculty Early Career Development (CAREER) Award (Award No. 1451994).
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Reilly, D., McFarland, J., Mohaghar, M. et al. The effects of initial conditions and circulation deposition on the inclined-interface reshocked Richtmyer–Meshkov instability. Exp Fluids 56, 168 (2015). https://doi.org/10.1007/s00348-015-2035-2
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DOI: https://doi.org/10.1007/s00348-015-2035-2