G. Iosilevskii et H. Brenner, TAYLOR DISPERSION IN SYSTEMS CONTAINING A CONTINUOUS DISTRIBUTION OF REACTIVE SPECIES - AN EXTENSION, International journal of non-linear mechanics, 29(3), 1994, pp. 289-294
A previous analysis in this journal of inter- and intraphase mass tran
sport, and/or chemical reaction phenomena in multicomponent or multist
ate systems containing a continuous distribution of components or stat
es, assumed that the integro-differential operator A quantifying the r
ates in a linear constitutive phenomenological formulation was positio
n independent. Moreover, the (local-space) velocity field appearing in
the transport process was assumed to be divergence free. These restri
ctive assumptions are relaxed in the present contribution, thereby per
mitting applications of the continuous system theory to much broader c
lasses of phenomena. This continuous-system extension may be applied e
qually well to discrete systems-that is, systems containing a finite n
umber of species and/or states-by the simple expedient of choosing the
otherwise continuous distribution to be a finite sequence of Dirac de
lta functions.