NDLI: Flow effects on the stability of Z-pinches

Content Provider	IEEE Xplore Digital Library
Author	Shumlak, U. Hartman, C.W.
Copyright Year	1996
Description	Author affiliation: Washington Univ., Seattle, WA, USA (Shumlak, U.)
Abstract	Summary form only given, as follows. The effect of an axial flow on the m=1 kink instability in Z-pinches is studied numerically by reducing the linearized ideal MHD equations to a one-dimensional eigenvalue equation for the radial displacement. The derivation of the displacement equation for equilibria with axial flows will be presented. A diffuse Z-pinch equilibrium is chosen that is made marginally stable to the m=0 sausage mode by tailoring the pressure profile. The principle result reveals that a sheared axial flow does stabilize the kink mode when the shear exceeds a threshold value. Additionally, the m=0 sausage mode is driven from marginal stability into the stable regime which suggests that the equilibrium pressure profile control can be relaxed. The amount of axial flow that is necessary for stability depends on the ratio of the radius of the conducting wall, r/sub w/, to the characteristic plasma radius, a. For reasonable values of r/sub w//a, the threshold shear can be obtained with flow velocities less than the Alfven speed. This stabilization effect has important implications to fast Z-pinches, as well as steady-state flow-through Z-pinches. Fast Z-pinches such as liner implosions are plagued by the Rayleigh-Taylor instability which destroys the liner and disrupts the current path before the liner arrives on axis. A sheared axial flow in a liner may quench the Rayleigh-Taylor instability in the same way that it quenches MHD instabilities in a diffuse Z-pinch. Simulation results will be presented showing the effect of a sheared axial flow on the Rayleigh-Taylor instability in a fast liner implosion. Liners of infinite length with and without flow will be compared. A liner geometry that develops an axial flow will also be presented as a stable liner implosion configuration.
File Size	162713
File Format	PDF
ISBN	0780333225
ISSN	07309244
DOI	10.1109/PLASMA.1996.550649
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1996-06-03
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Computational modeling Equations Plasma stability Plasma simulation Magnetohydrodynamics Eigenvalues and eigenfunctions Pressure control Plasma properties Steady-state Concurrent computing
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics Condensed Matter Physics Electrical and Electronic Engineering

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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