How can I calculate sparking voltage for a cylindrical electrostatic precipitator?
Ju Cheng
answering your question; the breakdown voltage in the air can be caculated in the case of point-plane configuration by the following equation: U_max = m.K1. (6800 / (1 + 0.08 / d)), therefore this equation depends on the geometric configuration used.
Maybe a bit late - anyway...
The engineer's answer: 10 kV/m under all "reasonable" conditions.
A more detailed formula is to be found here: https://de.wikipedia.org/wiki/Durchschlagsfestigkeit#Durchschlagsfestigkeit_von_Luft (sorry - didn't find a page in English of similar simplicity).
Beyond some effects of field concentration (mainly leading to a non-uniform distribution of the electrical field), geometry doesn't really matter.
For your wire-to-cylinder geometry, the centricity of the wire is critical: any deviations will lower the value of the sparking voltage.
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