REACTIVE INFILTRATION IN POROUS-MEDIA WITH THERMAL EFFECTS

Citation
Jf. Collet et V. Volpert, REACTIVE INFILTRATION IN POROUS-MEDIA WITH THERMAL EFFECTS, European journal of mechanics. B, Fluids, 15(1), 1996, pp. 119-137
Citations number
19
Categorie Soggetti
Mechanics
ISSN journal
09977546
Volume
15
Issue
1
Year of publication
1996
Pages
119 - 137
Database
ISI
SICI code
0997-7546(1996)15:1<119:RIIPWT>2.0.ZU;2-1
Abstract
We present a first approach to the study of the motion of a fluid perc olating through a porous medium whose porosity changes in time due to dissolution of the solid matrix, in the presence of heat transfer betw een the two phases. A physical model is derived based on mass and ener gy balance equations. Travelling wave solutions are obtained, both in the case where thermal effects are not taken into account and for a si mplified version of the complete model. The existence proof is based o n topological arguments in the spirit of the classical theorem of Waze wski.