Instability heating of the HDZP

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We present a model of dense Z-Pinch heating. For pinches of sufficiently small diameter and high current, direct ion heating by m=0 instabilities becomes the principal channel for power input. This process is particularly important in the present generation of dense micro-pinches (e.g., HDZP-II) where instability growth times are much smaller than current risetimes, and a typical pinch diameter is several orders smaller than that of the chamber. Under these conditions, m=0 formation is not disruptive: the large E[sub z] field reconnects the instability cusps externally, after which the ingested magnetic flux decays into turbulent kinetic energy of the plasma. ... continued below

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Lovberg, R.H. (California Univ., San Diego, La Jolla, CA (United States)); Riley, R.A. & Shlachter, J.S. (Los Alamos National Lab., NM (United States)) January 1, 1993.

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We present a model of dense Z-Pinch heating. For pinches of sufficiently small diameter and high current, direct ion heating by m=0 instabilities becomes the principal channel for power input. This process is particularly important in the present generation of dense micro-pinches (e.g., HDZP-II) where instability growth times are much smaller than current risetimes, and a typical pinch diameter is several orders smaller than that of the chamber. Under these conditions, m=0 formation is not disruptive: the large E[sub z] field reconnects the instability cusps externally, after which the ingested magnetic flux decays into turbulent kinetic energy of the plasma. The continuous process is analogous to boiling of a heated fluid. A simple analysis shows that an equivalent resistance R[sub t] = [ell]/4[radical]Nm[sub i]([mu][sub 0]/[pi])[sup 3/2]I/r appears in the driving circuit, where I is the pinch current, N is the line density, [ell] is the pinch length, m[sub i] is the ion mass, and r is the pinch radius. A corresponding heating term has been added to the ion energy equation in a 0-D, self-similar simulation, which had been written previously to estimate fusion yields and radial expansion of D[sub 2] fiber pinches. The simulation results agree well with the experimental results from HDZP-II, where the assumption of only joule heating produced gross disagreement. Turbulent ion heating should be the dominant process in any simple pinch carrying meg-ampere current and having submillimeter radius.

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Pages: (10 p)

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OSTI; NTIS; INIS; GPO Dep.

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  • 3. international conference on dense z-pinches, London (United Kingdom), 19-23 Apr 1993

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  • Other: DE93012641
  • Report No.: LA-UR-93-1318
  • Report No.: CONF-9304126--5
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 6484584
  • Archival Resource Key: ark:/67531/metadc1207386

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  • January 1, 1993

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  • July 5, 2018, 11:11 p.m.

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  • Aug. 7, 2018, 1:33 p.m.

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Lovberg, R.H. (California Univ., San Diego, La Jolla, CA (United States)); Riley, R.A. & Shlachter, J.S. (Los Alamos National Lab., NM (United States)). Instability heating of the HDZP, article, January 1, 1993; United States. (digital.library.unt.edu/ark:/67531/metadc1207386/: accessed January 15, 2019), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.