Pv. Danckwerts, CONTINUOUS-FLOW SYSTEMS - DISTRIBUTION OF RESIDENCE TIMES (REPRINTED FROM CHEM-ENGNG-SCI, VOL 2, PG 1-13, 1953), Chemical Engineering Science, 50(24), 1995, pp. 3857-3866
When a fluid flows through a vessel at a constant rate, either ''pisto
n-flow'' or perfect mixing is usually assumed. In practice, many syste
ms do not conform to either of these assumptions, so that calculations
based on them may be inaccurate. It is explained how distribution-fun
ctions for residence-times can be defined and measured for actual syst
ems. Open and packed tubes are discussed as systems about which predic
tions can be made. The use of the distribution-functions is illustrate
d by showing how they can be used to calculate the efficiencies of rea
ctors and blenders. It is shown how models may be used to predict the
distribution of residence-times in large systems.