MODELING OF THE DYNAMIC PLASMA PINCH IN PLASMA-FOCUS DISCHARGES BASED IN VON KARMAN APPROXIMATIONS

J. GONZÁLEZ; F. BROLLO; A. CLAUSSE

IEEE TRANSACTIONS ON PLASMA SCIENCE

IEEE

Año: 2009 vol. 37 p. 2178 - 2185

0093-3813

Dynamic plasma pinches occur in a variety of devices, as Z-pinches and plasma focus. In this paper, a lumped parametermodel 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.Z-pinches and plasma focus. In this paper, a lumped parametermodel 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.