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Gas and solute diffusion coefficients in pore networks and its description by a simple capillary model
Year:
1995
Source of publication :
Transport in Porous Media
Authors :
Friedman, Samuel
;
.
Volume :
19
Co-Authors:
Friedman, S.P., Department of Chemical Engineering, University of Cambridge, Pembroke Street, Cambridge, CB2 3RA, United Kingdom, Institute of Soils and Water, The Volcani Center, P.O. Box 6, Bet-Dagan, 50250, Israel
Zhang, L., Department of Chemical Engineering, University of Cambridge, Pembroke Street, Cambridge, CB2 3RA, United Kingdom
Seaton, N.A., Department of Chemical Engineering, University of Cambridge, Pembroke Street, Cambridge, CB2 3RA, United Kingdom
Facilitators :
From page:
281
To page:
301
(
Total pages:
21
)
Abstract:
Among the different geometrical descriptions of the pore networks of porous materials, a common one is that of cylindrical pores arranged on a regular lattice. Lattice calculations of diffusivities and other transport parameters are expected to gain increasing interest, both because of their tractability and because of continuing developments in techniques for characterizing porous solids in terms of models of this type. In this study we consider two approaches to the prediction of the apparent molecular and Knudsen diffusivities of diluted simple-cubic lattices: the MC-REMA method of Zhang and Seaton, which explicitly incorporates the geometry and connectivity of the network and is known to give accurate results, and the simple capillary model of Mualem and Friedman, which is computationally very fast. The MC-REMA calculations show that the diffusion coefficients increase both with increasing coordination number and decreasing coefficient of variation of the pore-size distribution. The influence of the coordination number, Z, is found to be more pronounced for small values of Z, while the effect of the width of the pore-size distribution is less significant at both extremes of highly uniform and highly distributed pore sizes. The simple capillary model of Mualem and Friedman is shown to give a good representation of the accurate MC-REMA results, after correlating a single adjustable parameter to Z and the coefficient of variation of the pore-size distribution. © 1995 Kluwer Academic Publishers.
Note:
Related Files :
Apparent (effective) diffusivity
diffusion
pore network
Pore Networks
porous media
Solute transport
tortuosity
Show More
Related Content
More details
DOI :
10.1007/BF00617533
Article number:
Affiliations:
Database:
Scopus
Publication Type:
article
;
.
Language:
English
Editors' remarks:
ID:
19565
Last updated date:
02/03/2022 17:27
Creation date:
16/04/2018 23:30
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Scientific Publication
Gas and solute diffusion coefficients in pore networks and its description by a simple capillary model
19
Friedman, S.P., Department of Chemical Engineering, University of Cambridge, Pembroke Street, Cambridge, CB2 3RA, United Kingdom, Institute of Soils and Water, The Volcani Center, P.O. Box 6, Bet-Dagan, 50250, Israel
Zhang, L., Department of Chemical Engineering, University of Cambridge, Pembroke Street, Cambridge, CB2 3RA, United Kingdom
Seaton, N.A., Department of Chemical Engineering, University of Cambridge, Pembroke Street, Cambridge, CB2 3RA, United Kingdom
Gas and solute diffusion coefficients in pore networks and its description by a simple capillary model
Among the different geometrical descriptions of the pore networks of porous materials, a common one is that of cylindrical pores arranged on a regular lattice. Lattice calculations of diffusivities and other transport parameters are expected to gain increasing interest, both because of their tractability and because of continuing developments in techniques for characterizing porous solids in terms of models of this type. In this study we consider two approaches to the prediction of the apparent molecular and Knudsen diffusivities of diluted simple-cubic lattices: the MC-REMA method of Zhang and Seaton, which explicitly incorporates the geometry and connectivity of the network and is known to give accurate results, and the simple capillary model of Mualem and Friedman, which is computationally very fast. The MC-REMA calculations show that the diffusion coefficients increase both with increasing coordination number and decreasing coefficient of variation of the pore-size distribution. The influence of the coordination number, Z, is found to be more pronounced for small values of Z, while the effect of the width of the pore-size distribution is less significant at both extremes of highly uniform and highly distributed pore sizes. The simple capillary model of Mualem and Friedman is shown to give a good representation of the accurate MC-REMA results, after correlating a single adjustable parameter to Z and the coefficient of variation of the pore-size distribution. © 1995 Kluwer Academic Publishers.
Scientific Publication
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