ON A VARIATIONAL PRINCIPLE FOR REACTION RADIATION/CONDUCTION EQUILIBRIA/

Citation
R. Blouquin et G. Joulin, ON A VARIATIONAL PRINCIPLE FOR REACTION RADIATION/CONDUCTION EQUILIBRIA/, Combustion science and technology, 112, 1996, pp. 375-385
Citations number
7
Categorie Soggetti
Energy & Fuels",Engineering,Thermodynamics
ISSN journal
00102202
Volume
112
Year of publication
1996
Pages
375 - 385
Database
ISI
SICI code
0010-2202(1996)112:<375:OAVPFR>2.0.ZU;2-Z
Abstract
The generalized Semenov/Frank-Kamenetskii problems which govern the st eady couplings between radiation/chemical heat-release and conduction are shown to be deducible from a variational principle whatever the sh ape of the reacting body, at least when the latter has a convex outer surface and radiation follows an Eddington-like law specialized to gre y properties. A few examples are given to illustrate how this can be e xploited in practical situations.