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Dynamic contact angle explanation of flow rate-dependent saturation-pressure relationships during transient liquid flow in unsaturated porous media

Year:

1999

Source of publication :

Journal of Adhesion Science and TechnologyAuthors :

Friedman, Samuel

;

.

Volume :

13

Co-Authors:

Friedman, S.P., Institute of Soil, Water and Environmental Sciences, Agricultural Research Organization, Volcani Center, Bet Dagan 50250, Israel

Facilitators :

From page:

1495

To page:

1518

(

Total pages:

24

)

Abstract:

The common assumption when modeling transient liquid flow in an unsaturated porous medium is that the capillary pressure-saturation degree relationship is independent of the macroscopic liquid flux. This assumption is not always applicable, and one reason for this is the dependence of the solid-liquid-gas contact angle at the moving liquid-gaseous interface on the flow velocities, as found in systems such as long cylindrical capillaries. In the present theoretical study, a conjecture is made that at a prescribed capillary pressure the criterion for the liquid phase to invade an empty pore is defined by the Young-Laplace equation, but with the expected dynamic contact angle used instead of the static one. An iterative procedure, based on a simplified description of the pore system, enables a quantitative estimation of the extent of the liquid flux dependence of the capillary pressure-saturation degree relationship. For a given capillary pressure, the degree of liquid saturation decreases with increasing liquid flow velocity, for wetting processes, and vice versa for drainage. This effect of the liquid flux is more pronounced as the width of the pore-size distribution increases. © 1999 VSP.

Note:

Related Files :

Dynamic contact angle

Liquid flux

porous media

Rolling resistance

Young Laplace equation

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More details

DOI :

10.1163/156856199X00613

Article number:

Affiliations:

Database:

Scopus

Publication Type:

article

;

.

Language:

English

Editors' remarks:

ID:

19475

Last updated date:

02/03/2022 17:27

Creation date:

16/04/2018 23:29

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Scientific Publication

Dynamic contact angle explanation of flow rate-dependent saturation-pressure relationships during transient liquid flow in unsaturated porous media

13

Friedman, S.P., Institute of Soil, Water and Environmental Sciences, Agricultural Research Organization, Volcani Center, Bet Dagan 50250, Israel

Dynamic contact angle explanation of flow rate-dependent saturation-pressure relationships during transient liquid flow in unsaturated porous media

The common assumption when modeling transient liquid flow in an unsaturated porous medium is that the capillary pressure-saturation degree relationship is independent of the macroscopic liquid flux. This assumption is not always applicable, and one reason for this is the dependence of the solid-liquid-gas contact angle at the moving liquid-gaseous interface on the flow velocities, as found in systems such as long cylindrical capillaries. In the present theoretical study, a conjecture is made that at a prescribed capillary pressure the criterion for the liquid phase to invade an empty pore is defined by the Young-Laplace equation, but with the expected dynamic contact angle used instead of the static one. An iterative procedure, based on a simplified description of the pore system, enables a quantitative estimation of the extent of the liquid flux dependence of the capillary pressure-saturation degree relationship. For a given capillary pressure, the degree of liquid saturation decreases with increasing liquid flow velocity, for wetting processes, and vice versa for drainage. This effect of the liquid flux is more pronounced as the width of the pore-size distribution increases. © 1999 VSP.

Scientific Publication

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