F. Grange et al., NUMERICAL AND EXPERIMENTAL-DETERMINATION OF IONIZING FRONT VELOCITY IN A DC POINT-TO-PLANE CORONA DISCHARGE, Journal of physics. D, Applied physics, 28(8), 1995, pp. 1619-1629
The present work is devoted to the comparison between numerical and ex
perimental determination of the velocity profile of an ionizing front
(primary streamer) in a DC positive point-to-plane corona discharge in
dry air at atmospheric pressure. The inception and propagation of the
ionizing front is simulated by a one-dimensional model, using finite
differences in a flux-corrected transport numerical scheme, including
gamma-effects, and using experimental results concerning the swarm par
ameters. This model provides the spatio-temporal local field and charg
e density variations as well as the ionization front velocity. An opti
cal measurement of the velocity is performed with the same discharge p
arameters, using a photomultiplier and a single-slit device. The techn
ique is based on the experimental fact that, for a 1 cm gap in the 7-9
kV voltage range, the successive primary streamers corresponding to a
given gap voltage display identical velocity profiles. As a result of
the comparison, it appears that a precise coupling between simulation
and experiment is possible. There is a voltage range (8-9 kV) within
which good agreement is observed. The front velocity in most of the ga
p is about 2 x 10(7) cm s(-1) and the profile presents an increase whe
n the streamer leaves the point electrode and when it reaches the cath
ode. The possible mechanisms of these accelerations are discussed. The
model may be applied to a large variation range for various parameter
s such as the nature of the gas, pressure, inter-electrode gap and cur
vature radius of the active electrode.