Utilization of Dimensional Analysis in the Study of Corona Discharge

Abstract

In this paper, several attempts to utilize dimensional analysis in the study of corona discharge are presented.  Our goal is to determine the dimensionless products pertinent to the study of several corona-related phenomena including (a) corona discharge current, (b) detrimental ozone generation by negative wire-to-plate corona discharge in both dry and humid air, and (c) the small current regime for rod-plane geometry in air. We demonstrate and compare several computational methods to process the dimensional matrix so as to generate the pertinent dimensionless products. Moreover, we contribute a novel explanation (reinforced with ample diverse examples) for the issues of bases, regimes and independent sets of dimensionless products.