TAYLOR DISPERSION IN SYSTEMS CONTAINING A CONTINUOUS DISTRIBUTION OF REACTIVE SPECIES - AN EXTENSION

Citation
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
Citations number
10
Categorie Soggetti
Mechanics
ISSN journal
00207462
Volume
29
Issue
3
Year of publication
1994
Pages
289 - 294
Database
ISI
SICI code
0020-7462(1994)29:3<289:TDISCA>2.0.ZU;2-0
Abstract
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.