Geometric Models for Isotropic Random Porous Media: A Review
Models for random porous media are considered. The models are isotropic both from the local and the macroscopic point of view; that is, the pores have spherical shape or their surface shows piecewise spherical curvature, and there is no macroscopic gradient of any geometrical feature. Both closed-po...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2014/562874 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568194080964608 |
|---|---|
| author | Helmut Hermann Antje Elsner |
| author_facet | Helmut Hermann Antje Elsner |
| author_sort | Helmut Hermann |
| collection | DOAJ |
| description | Models for random porous media are considered. The models are isotropic both from the local and the macroscopic point of view; that is, the pores have spherical shape or their surface shows piecewise spherical curvature, and there is no macroscopic gradient of any geometrical feature. Both closed-pore and open-pore systems are discussed. The Poisson grain model, the model of hard spheres packing, and the penetrable sphere model are used; variable size distribution of the pores is included. A parameter is introduced which controls the degree of open-porosity. Besides systems built up by a single solid phase, models for porous media with the internal surface coated by a second phase are treated. Volume fraction, surface area, and correlation functions are given explicitly where applicable; otherwise numerical methods for determination are described. Effective medium theory is applied to calculate physical properties for the models such as isotropic elastic moduli, thermal and electrical conductivity, and static dielectric constant. The methods presented are exemplified by applications: small-angle scattering of systems showing fractal-like behavior in limited ranges of linear dimension, optimization of nanoporous insulating materials, and improvement of properties of open-pore systems by atomic layer deposition of a second phase on the internal surface. |
| format | Article |
| id | doaj-art-0598f932d2e049f7ba06f92d857cf2b4 |
| institution | Kabale University |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-0598f932d2e049f7ba06f92d857cf2b42025-02-03T00:59:29ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422014-01-01201410.1155/2014/562874562874Geometric Models for Isotropic Random Porous Media: A ReviewHelmut Hermann0Antje Elsner1Institute for Solid State and Materials Research, IFW Dresden, P.O. Box 270116, 01171 Dresden, GermanyInstitute for Informatics, TU Dresden, 01062 Dresden, GermanyModels for random porous media are considered. The models are isotropic both from the local and the macroscopic point of view; that is, the pores have spherical shape or their surface shows piecewise spherical curvature, and there is no macroscopic gradient of any geometrical feature. Both closed-pore and open-pore systems are discussed. The Poisson grain model, the model of hard spheres packing, and the penetrable sphere model are used; variable size distribution of the pores is included. A parameter is introduced which controls the degree of open-porosity. Besides systems built up by a single solid phase, models for porous media with the internal surface coated by a second phase are treated. Volume fraction, surface area, and correlation functions are given explicitly where applicable; otherwise numerical methods for determination are described. Effective medium theory is applied to calculate physical properties for the models such as isotropic elastic moduli, thermal and electrical conductivity, and static dielectric constant. The methods presented are exemplified by applications: small-angle scattering of systems showing fractal-like behavior in limited ranges of linear dimension, optimization of nanoporous insulating materials, and improvement of properties of open-pore systems by atomic layer deposition of a second phase on the internal surface.http://dx.doi.org/10.1155/2014/562874 |
| spellingShingle | Helmut Hermann Antje Elsner Geometric Models for Isotropic Random Porous Media: A Review Advances in Materials Science and Engineering |
| title | Geometric Models for Isotropic Random Porous Media: A Review |
| title_full | Geometric Models for Isotropic Random Porous Media: A Review |
| title_fullStr | Geometric Models for Isotropic Random Porous Media: A Review |
| title_full_unstemmed | Geometric Models for Isotropic Random Porous Media: A Review |
| title_short | Geometric Models for Isotropic Random Porous Media: A Review |
| title_sort | geometric models for isotropic random porous media a review |
| url | http://dx.doi.org/10.1155/2014/562874 |
| work_keys_str_mv | AT helmuthermann geometricmodelsforisotropicrandomporousmediaareview AT antjeelsner geometricmodelsforisotropicrandomporousmediaareview |