Modeling a Microdischarge
in an Ozonizer by a Heat-Conducting Rod

V. V. Lunin and M. P. Popovich

Faculty of Chemistry, Moscow State University, Vorob’evy gory, Moscow, 119899 Russia

Received December 5, 2002

Abstract—A new model of barrier discharge cooling was suggested. Separate microdischarges were repre-
sented by heat-conducting rods with constant temperatures at their ends equal to the temperature of the elec-
trodes. Formulas were derived and used to calculate temperature as a function of the coordinate of the rod
(microdischarge), the time of its cooling, and the frequency of heat pulses arising in the formation of microdis-
charges. A nonstationary time interval during which the temperature increased from pulse to pulse and tended
to a stationary oscillatory state was found. The temperature distribution in the discharge gap and the tempera-
ture averaged over time and coordinate were calculated as functions of the frequency of heat pulses. The barrier
discharge was identified with a set of microdischarges considered above. It was shown that there existed some
critical number of pulses (critical power) within which the mean temperature in the ozonizer did not change and
the formation of ozone below the critical power occurred under isothermal conditions.

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