O. Levenspiel et Wk. Smith, NOTES ON THE DIFFUSION-TYPE MODEL FOR THE LONGITUDINAL MIXING OF FLUIDS IN FLOW (REPRINTED FROM CHEM-ENGNG-SCI, VOL 6, PG 227-233, 1957), Chemical Engineering Science, 50(24), 1995, pp. 3891-3896
The longitudinal mixing of fluids in flow can sometimes be characteriz
ed by a single parameter D, the ''longitudinal dispersion coefficient,
'' which is analogous to and has the same units as the coefficient of
molecular diffusion. The results of a study of this model show that a
dimensionless parameter, the Peclet number can be used as the similari
ty criterion for longitudinal mixing. Also, it is pointed out that the
obvious and direct method of calculating the mean velocity of flow, b
y injecting a tracer into the fluid stream at one point and measuring
its maximum concentration at a given point downstream, may in some cas
es lead to an appreciable error, even in situations where the diffusio
n-type model is applicable. Methods are shown for evaluating D from ex
perimental measurements, examples are worked out and conditions for ap
plicability of the model are discussed.