A simple analytic alternative to Warburg's law
- 14 May 1990
- journal article
- Published by IOP Publishing in Journal of Physics D: Applied Physics
- Vol. 23 (5) , 542-552
- https://doi.org/10.1088/0022-3727/23/5/012
Abstract
A point-plane corona discharge in ambient air is modelled by regarding the drift of ions from the coronating point-electrode to the earthed plane as a succession of non-interacting uniform spheres of charge. Each sphere is thought to expand in its self-field as it drifts in the mean field between point and plane. The space charge deposited by the spheres on their arrival at the plane implies a current distribution which gives an analytic alternative to Warburg's empirical expression. It is shown that the parameters of the model can be adjusted to give a good fit to experimentally obtained results for negative coronas. The success of this simple model is discussed in terms of experimental observations and recent theoretical developments.Keywords
This publication has 9 references indexed in Scilit:
- The theory of the drift of ions in a gasJournal of Physics D: Applied Physics, 1990
- The unipolar corona space charge flow problemJournal of Electrostatics, 1986
- Derivation of the current-potential equation for steady point-to-plane corona dischargesJournal of Applied Physics, 1982
- Simple approximate treatment of unipolar space-charge-dominated coronas: The Warburg law and the saturation currentJournal of Applied Physics, 1982
- A derivation of Warburg’s law for point to plane coronasJournal of Applied Physics, 1981
- A space-charge region model for microscopic steady coronas from pointsJournal of Applied Physics, 1981
- The structure of the impulse corona in a rod/plane gap I. The positive coronaProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1970
- XI. The potentials required to maintain currents between coaxial cylindersJournal of Computers in Education, 1914
- Ueber die SpitzenentladungAnnalen der Physik, 1899