FLOW WITH IMPREGNATION OF A RHEOKINETIC LIQUID

Citation
Ay. Malkin et al., FLOW WITH IMPREGNATION OF A RHEOKINETIC LIQUID, Journal of non-Newtonian fluid mechanics, 54, 1994, pp. 489-501
Citations number
13
Categorie Soggetti
Mechanics
ISSN journal
03770257
Volume
54
Year of publication
1994
Pages
489 - 501
Database
ISI
SICI code
0377-0257(1994)54:<489:FWIOAR>2.0.ZU;2-K
Abstract
Flow with impregnation of a porous layer for a special class of non-Ne wtonian liquids is discussed. The particular feature of the theologica l properties is the assumption that the viscosity of a liquid can chan ge due to a chemical reaction. Change in the degree of conversion is d escribed by a standard kinetic equation and the dependence of viscosit y on the degree of conversion is written by means of an exponential eq uation. Moreover, it is assumed that, when approaching some critical d egree of conversion, the viscosity grows without limit, i.e. chemical ''curing'' of the liquid takes place. Flow of such a ''rheokinetic'' l iquid along a plane feeding channel with simultaneous impregnation of a porous layer in contact with this channel is simulated by a system o f balance equations (taking into account non-Newtonian effects provide d by time-dependent viscosity), supplemented by a kinetic equation. Th is system of equations is rewritten and solved in a dimensionless form . The principle possible solutions are obtained, including the situati on where-due to premature loss of fluidity-a liquid cannot completely impregnate a porous layer. An approximate relationship determining the condition of complete impregnation is formulated.