Computation of Mass Sweeping Efficiency Factor and Current Efficiency Factor in Z-pinch Devices

Abstract

In this paper, mass sweeping efficiency factor (fm) and current efficiency factor (fi) have been computed for Z-pinch devices. We used slug model for analysis of Z-pinch dynamics. Magnetic piston reaps electrons and ions in duration of motion. But only a fraction of plasma mass sweeps with magnetic piston, therefore we should add mass sweeping efficiency factor (fm) in equations. Such like alone the fraction of electrical current flows of magnetic piston and remainder of it flows of internal and external radial of magnetic piston, so we should add fi in equations. In this paper, equations are solved with characteristics of CERN Z-pinch device (its length and radius, resistivity, circuit inductance and capacitanc and plasma inductance) and with values of Boggasch experiments (discharge voltage: 15 kV, initial pressure: 400 pa). Recorded code runs with different values of fm and fi and in each section, pinch time and pinch current are compared with Boggasch experimental values. Optimum values for fm and fi obtain with Comparing between numerical values and experimental values. These values are fi = 0.8 and fm = 0.08.