Macroscale thermodynamics and the chemical potential for swelling porous media

被引：87

作者：

Bennethum, LS ^{[1
]}

Murad, MA ^{[1
]}

Cushman, JH ^{[1
]}

机构：

[1] Univ Colorado, Dept Math, Denver, CO 80217 USA

来源：

TRANSPORT IN POROUS MEDIA | 2000年 / 39卷 / 02期

关键词：

macroscale; chemical potential; mixture theory; porous media; swelling porous media;

D O I：

10.1023/A:1006661330427

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

摘要：

The thermodynamical relations for a two-phase, N-constituent, swelling porous medium are derived using a hybridization of averaging and the mixture-theoretic approach of Bowen. Examples of such media include 2-1 lattice clays and lyophilic polymers. A novel, scalar definition for the macroscale chemical potential for porous media is introduced, and it is shown how the properties of this chemical potential can be derived by slightly expanding the usual Coleman and Noll approach for exploiting the entropy inequality to obtain near-equilibrium results. The relationship between this novel scalar chemical potential and the tensorial chemical potential of Bowen is discussed. The tensorial chemical potential may be discontinuous between the solid and fluid phases at equilibrium; a result in clear contrast to Gibbsian theories. It is shown that the macroscopic scalar chemical potential is completely analogous with the Gibbsian chemical potential. The relation between the two potentials is illustrated in three examples.

引用

页码：187 / 225

页数：39

共 80 条

[1] NONEQUILIBRIUM SWELLING-PRESSURE AND CAPILLARY-PRESSURE RELATIONS FOR COLLOIDAL SYSTEMS [J].