Magneto-Rayleigh-Taylor, Sausage And Kink Mode In Cylindrical Liners

ORAL

Abstract

This paper analyzes the coupling of magneto-Rayleigh-Taylor (MRT), sausage (azimuthal mode number m$=$0) and kink mode (m$=$1) in an imploding cylindrical liner, using ideal MHD. A uniform axial magnetic field of arbitrary value is included in each region: liner, its interior, and its exterior. The dispersion relation, the feedthrough factor, and the temporal evolution of perturbations were solved exactly, for arbitrary values of g ($=$ gravity), k ($=$ axial wavenumber), m, aspect ratio, and equilibrium quantities in each region. For small k, a positive g (inward radial acceleration in the lab frame) tends to stabilize the sausage mode, but destabilize the kink mode. For large k, a positive g destabilizes both the kink and sausage mode. This analysis might shed lights into some puzzling features in Harris' classic paper [1], and in the recent cylindrical liner experiments [2] on MRT. \\[4pt] [1] E. G. Harris, Phys. Fluids 5, 1057 (1962).\\[0pt] [2] T. J. Awe, et al., PRL 111, 235005 (2013); PoP 21, 056303 (2014).

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Authors

  • Y.Y. Lau

    Nuclear Eng. \& Rad. Sciences Dept., Univ of Michigan, Ann Arbor, Nuclear Eng. \& Rad. Sciences Department, University of Michigan, Univ of Michigan - Ann Arbor, University of Michigan, Ann Arbor

  • Peng Zhang

    Nuclear Eng. \& Rad. Sciences Department, University of Michigan, University of Michigan, Ann Arbor, MI, Univ of Michigan - Ann Arbor, University of Michigan, Ann Arbor

  • Matthew Weis

    Univ of Michigan - Ann Arbor

  • Ronald Gilgenbach

    The University of Michigan, Nuclear Eng. \& Rad. Sciences Dept., Univ of Michigan, Ann Arbor, Nuclear Eng. \& Rad. Sciences Department, University of Michigan, Univ of Michigan - Ann Arbor, The University of Michigan, Ann Arbor, MI 48109, University of Michigan, Ann Arbor

  • Mark Hess

    Sandia National Laboratories

  • Kyle Peterson

    Sandia National Laboratories, Sandia National Labs