G. Desmet et al., TRANSIENT AND STATIONARY AXIAL-DISPERSION IN VORTEX ARRAY FLOWS .2. DECOUPLING OF INTER-VORTEX AND INTRA-VORTEX TRANSPORT PHENOMENA, Chemical Engineering Science, 52(14), 1997, pp. 2403-2419
In flows consisting of arrays of vortex units, the transient dispersio
n regime is of a very complex nature: the effective dispersion coeffic
ient varies strongly with time, comprises both inter- and intra-vortex
phenomena and depends heavily upon the injection condition. However,
in an infinite array of identical vortices, it is found that when the
cross-section of a vortex is injected homogeneously, the effective dis
persion coefficient remains strictly constant and is independent of al
l intra-vortex transport phenomena. In other words, regardless of the
presence of strong intra-vortex concentration gradients, the second-or
der moment of the tracer distribution varies with the time as if all t
he vortices are perfectly mixed. A mathematical proof for this phenome
non is given. A measurement method based upon this feature allows the
separate and direct determination of the inter-vortex exchange coeffic
ient in laminar Couette-Taylor flow, without the need to quantify the
intra-vortex transport phenomena, or without the need to wait until al
l intra-vortex concentration gradients have disappeared. The obtained
experimental correlation validates recently performed theoretical calc
ulations and shows that the mass transfer occurs by means of a continu
ous, strictly ordered surface renewal mechanism. For the transient dis
persion effects which are obtained when nonhomogeneous injections are
applied, an approximate expression for the variation of the effective
dispersion coefficient with the time is established. Within the (very
good) accuracy of this expression, the effect of the inter- and intra-
vortex transport upon the tracer dispersion rates could also be decoup
led. (C) 1977 Elsevier Science Ltd. All rights reserved.