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The Damkoehler number (Da) is a number that represents the ratio of a characteristic reaction time to the kinetic time constant of the reaction and is therefore a measure for the reaction time.
Da = (-νA?r0?tcharact.) / cA0
The attribute ?characteristic? refers to the individual definition necessary for each reactor type. The orders of magnitude for the Damkoehler number vary from 0,01 for slow batch processes to 100 and more for feed-controlled semi-batch operations or continuous manufacturing with large mean residence times.