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ניגודיות עדינהניגודיות גבוההמונוכרוםהדגשת קישוריםחסימת אנימציהפונט קריאסגוראיפוס הגדרות נגישותלהורדת מודול נגישות חינםManage

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Modeling the relationships between particle and pore size distributions in multicomponent sphere packs: Application to the water retention curve

Year:

1997

Source of publication :

Colloids and Surfaces A: Physicochemical and Engineering AspectsAuthors :

Assouline, Shmuel

;

.

Volume :

127

Co-Authors:

Assouline, S., I.N.R.A. U. de Science du Sol, Route de St-Cyr, 78026, Versailles, France

Rouault, Y., I.N.R.A. U. de Science du Sol, Route de St-Cyr, 78026, Versailles, France, Max-Planck-Inst. Polymerforschung, Theory Group, Postfach 3148, D-55021 Mainz, Germany

Rouault, Y., I.N.R.A. U. de Science du Sol, Route de St-Cyr, 78026, Versailles, France, Max-Planck-Inst. Polymerforschung, Theory Group, Postfach 3148, D-55021 Mainz, Germany

Facilitators :

From page:

201

To page:

210

(

Total pages:

10

)

Abstract:

A probabilistic approach that computes the distribution of the volume of the voids in packed spheres given their size distribution is applied to determine the corresponding water retention curves. The assumption of dense random packing is adopted. The volume of the void determined by four spheres mutually in contact is approximated by the volume of the osculatory sphere. Every void is accessible through four openings. The size of these openings is assumed to be represented by the respective osculatory discs. Applying the law of capillarity to the radii of the voids and their openings, the hysteretic water retention function characterizing multicomponent sphere packs is defined. The approach is applied to power law, Gaussian and log- normal sphere size distributions. The water retention function and the hysteretic domain are found to depend upon the distribution type, the power exponent and the standard deviation. The power law distribution generates the narrowest hysteretic domain and the highest water capacity. The normally distributed sphere sizes generate the widest hysteretic domain and the lowest water capacity. Increasing the standard deviation of the sphere size distribution reduces the hysteretic domain for most of the effective saturation range, mainly because of the effect on the drying curve.A probabilistic approach that computes the distribution of the volume of the voids in packed spheres given their size distribution is applied to determine the corresponding water retention curves. The assumption of dense random packing is adopted. The volume of the void determined by four spheres mutually in contact is approximated by the volume of the osculatory sphere. Every void is accessible through four openings. The size of these openings is assumed to be represented by the respective osculatory discs. Applying the law of capillarity to the radii of the voids and their openings, the hysteretic water retention function characterizing multicomponent sphere packs is defined. The approach is applied to power law, Gaussian and log-normal sphere size distributions. The water retention function and the hysteretic domain are found to depend upon the distribution type, the power exponent and the standard deviation. The power law distribution generates the narrowest hysteretic domain and the highest water capacity. The normally distributed sphere sizes generate the widest hysteretic domain and the lowest water capacity. Increasing the standard deviation of the sphere size distribution reduces the hysteretic domain for most of the effective saturation range, mainly because of the effect on the drying curve.

Note:

Related Files :

Hysteresis

physical phenomena

Pore size distribution

porous media

protein localization

water

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Related Content

More details

DOI :

10.1016/S0927-7757(97)00144-1

Article number:

Affiliations:

Database:

Scopus

Publication Type:

article

;

.

Language:

English

Editors' remarks:

ID:

24888

Last updated date:

02/03/2022 17:27

Creation date:

17/04/2018 00:10

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Modeling the relationships between particle and pore size distributions in multicomponent sphere packs: Application to the water retention curve

127

Assouline, S., I.N.R.A. U. de Science du Sol, Route de St-Cyr, 78026, Versailles, France

Rouault, Y., I.N.R.A. U. de Science du Sol, Route de St-Cyr, 78026, Versailles, France, Max-Planck-Inst. Polymerforschung, Theory Group, Postfach 3148, D-55021 Mainz, Germany

Rouault, Y., I.N.R.A. U. de Science du Sol, Route de St-Cyr, 78026, Versailles, France, Max-Planck-Inst. Polymerforschung, Theory Group, Postfach 3148, D-55021 Mainz, Germany

Modeling the relationships between particle and pore size distributions in multicomponent sphere packs: Application to the water retention curve

A probabilistic approach that computes the distribution of the volume of the voids in packed spheres given their size distribution is applied to determine the corresponding water retention curves. The assumption of dense random packing is adopted. The volume of the void determined by four spheres mutually in contact is approximated by the volume of the osculatory sphere. Every void is accessible through four openings. The size of these openings is assumed to be represented by the respective osculatory discs. Applying the law of capillarity to the radii of the voids and their openings, the hysteretic water retention function characterizing multicomponent sphere packs is defined. The approach is applied to power law, Gaussian and log- normal sphere size distributions. The water retention function and the hysteretic domain are found to depend upon the distribution type, the power exponent and the standard deviation. The power law distribution generates the narrowest hysteretic domain and the highest water capacity. The normally distributed sphere sizes generate the widest hysteretic domain and the lowest water capacity. Increasing the standard deviation of the sphere size distribution reduces the hysteretic domain for most of the effective saturation range, mainly because of the effect on the drying curve.A probabilistic approach that computes the distribution of the volume of the voids in packed spheres given their size distribution is applied to determine the corresponding water retention curves. The assumption of dense random packing is adopted. The volume of the void determined by four spheres mutually in contact is approximated by the volume of the osculatory sphere. Every void is accessible through four openings. The size of these openings is assumed to be represented by the respective osculatory discs. Applying the law of capillarity to the radii of the voids and their openings, the hysteretic water retention function characterizing multicomponent sphere packs is defined. The approach is applied to power law, Gaussian and log-normal sphere size distributions. The water retention function and the hysteretic domain are found to depend upon the distribution type, the power exponent and the standard deviation. The power law distribution generates the narrowest hysteretic domain and the highest water capacity. The normally distributed sphere sizes generate the widest hysteretic domain and the lowest water capacity. Increasing the standard deviation of the sphere size distribution reduces the hysteretic domain for most of the effective saturation range, mainly because of the effect on the drying curve.

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