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Modeling of the Dynamic Plasma Pinch in Plasma Focus Discharges Based in Von Karman Approximations

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3 Author(s)
Gonzalez, J.H. ; Nat. Atomic Energy Comm., CONICET, Buenos Aires, Argentina ; Brollo, F.R. ; Clausse, A.

Dynamic plasma pinches occur in a variety of devices, as Z -pinches and plasma focus. In this paper, a lumped parameter model of a dynamic plasma pinch produced in a plasma focus discharge is presented. The model is based in Von Karman approximations of the radial density and velocity profiles, which leads to the reduction to a system of ordinary differential equations describing the dynamic evolution of the pinch compression and expansion. The model was coupled with a fusion kernel to produce an estimate of the neutron yield per pulse. The calculations were tested against available data of the pressure-yield curve of seven experimental devices ranging from 1 to 250 kJ, showing excellent agreement, particularly regarding the curvature of the pressure-yield curve.

Published in:

Plasma Science, IEEE Transactions on  (Volume:37 ,  Issue: 11 )

Date of Publication:

Nov. 2009

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