Sheared Flow Stabilization of them<mml:mspace/>=<mml:mspace/>1Kink Mode inZPinches

1995/10/30 by U. Shumlak, C.W. Hartman · 5 citations
Computer Science · Engineering · Physics and Astronomy · #Fluid Dynamics and Turbulent Flows #Magnetic confinement fusion research #Nonlinear Dynamics and Pattern Formation

paper · doi:10.1103/physrevlett.75.3285

openalex publication_date 1995/10/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/06/17

Abstract

The effect of a sheared axial flow on the m\phantom\rule0ex0ex=\phantom\rule0ex0ex1 kink instability in Z pinches is studied numerically by reducing the linearized magnetohydrodynamic equations to a one-dimensional displacement equation. An equilibrium is used that is made marginally stable against the m\phantom\rule0ex0ex=\phantom\rule0ex0ex0 sausage mode by tailoring its pressure profile. The principal result reveals that a sheared axial flow stabilizes the kink mode when the shear exceeds a threshold that is dependent on the location of the conducting wall. For the equilibria studied here the maximum threshold shear ( v_z^\ensuremath'/kV_A⁰) was about 0.1.

Cited by

• Evidence of Stabilization in theZ-Pinch
• Pressure-Driven Instabilities in Astrophysical Jets
• Simulation of the internal kink mode in visco-resistive regimes
• The transport of relative canonical helicity
• Zap Energy [wikipedia]