Linear and nonlinear evolution of azimuthal clumping instabilities in a Z-pinch wire array

Tang, Wilkin; Strickler, T. S.; Lau, Y. Y.; Gilgenbach, R. M.; Zier, Jacob; Gomez, M. R.; Yu, Edmund; Garasi, Chris; Cuneo, M. E.; Mehlhorn, T. A.

doi:10.1063/1.2434794

Title: Linear and nonlinear evolution of azimuthal clumping instabilities in a Z-pinch wire array

Journal Article · Wed Jan 31 00:00:00 EST 2007 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.2434794· OSTI ID:1427015

Tang, Wilkin ^[1]; Strickler, T. S. ^[1]; Lau, Y. Y. ^[1]; Gilgenbach, R. M. ^[1]; Zier, Jacob ^[1]; Gomez, M. R. ^[1]; Yu, Edmund ^[2]; Garasi, Chris ^[2]; Cuneo, M. E. ^[2]; Mehlhorn, T. A. ^[2]

Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Nuclear Engineering and Radiological Sciences
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

This study presents an analytic theory on the linear and nonlinear evolution of the most unstable azimuthal clumping mode, known as the pi-mode, in a discrete wire array. In the pi-mode, neighboring wires of the array pair-up as a result of the mutual attraction of the wires which carry current in the same direction. The analytic solution displays two regimes, where the collective interactions of all wires dominate, versus where the interaction of the neighboring, single wire dominates. This solution was corroborated by two vastly different numerical codes which were used to simulate arrays with both high wire numbers (up to 600) and low wire number (8). All solutions show that azimuthal clumping of discrete wires occurs before appreciable radial motion of the wires. Thus, absence of azimuthal clumping of wires in comparison with the wires’ radial motion may imply substantial lack of wire currents. Finally, while the present theory and simulations have ignored the plasma corona and axial variations, it is argued that their effects, and the complete account of the three-dimensional feature of the pi-mode, together with a scaling study of the wire number, may be expediently simulated by using only one single wire in an annular wedge with a reflection condition imposed on the wedge’s boundary.

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Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1427015

Report Number(s):: SAND2007-0206J; 524280

Journal Information:: Physics of Plasmas, Vol. 14, Issue 1; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 2 works

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Title: Linear and nonlinear evolution of azimuthal clumping instabilities in a Z-pinch wire array

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