Linear Analysis of Converging Richtmyer-Meshkov Instability in the Presence of an Azimuthal Magnetic Field

Abstract
We investigate the linear stability of both positive and negative Atwood ratio interfaces accelerated either by a fast magnetosonic or hydrodynamic shock in cylindrical geometry. For the magnetohydrodynamic (MHD) case, we examine the role of an initial seed azimuthal magnetic field on the growth rate of the perturbation. In the absence of a magnetic field, the Richtmyer-Meshkov growth is followed by an exponentially increasing growth associated with the Rayleigh-Taylor instability. In the MHD case, the growth rate of the instability reduces in proportion to the strength of the applied magnetic field. The suppression mechanism is associated with the interference of two waves running parallel and anti-parallel to the interface that transport of vorticity and cause the growth rate to oscillate in time with nearly a zero mean value.

Citation
Bakhsh A, Samtaney R (2017) Linear Analysis of Converging Richtmyer-Meshkov Instability in the Presence of an Azimuthal Magnetic Field. Journal of Fluids Engineering. Available: http://dx.doi.org/10.1115/1.4038487.

Acknowledgements
This work was supported by the KAUST Office of Sponsored Research under Award No. URF/1/2162-01.

Publisher
ASME International

Journal
Journal of Fluids Engineering

DOI
10.1115/1.4038487

Additional Links
http://fluidsengineering.asmedigitalcollection.asme.org/article.aspx?articleid=2664291

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