On the radial spreading of liquids in thin porous substrates

A. Borhan; K. K. Rungta

doi:10.1016/0021-9797(92)90103-S

On the radial spreading of liquids in thin porous substrates

A. Borhan, K. K. Rungta

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Abstract

Gillespie's model for the kinetics of radial spreading of a finite liquid reservoir in a thin porous substrate is corrected to properly account for the time dependence of the position of the advancing meniscus. A similarity solution for the liquid volume fraction within the substrate is obtained using power-law expressions for the dependence of the permeability and the capillary pressure on the liquid volume fraction. It is shown that the asymptotic rate of spreading at long times is independent of the initial conditions.

Original language	English (US)
Pages (from-to)	295-297
Number of pages	3
Journal	Journal of Colloid And Interface Science
Volume	154
Issue number	1
DOIs	https://doi.org/10.1016/0021-9797(92)90103-S
State	Published - Nov 1992

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Biomaterials
Surfaces, Coatings and Films
Colloid and Surface Chemistry

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10.1016/0021-9797(92)90103-S

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title = "On the radial spreading of liquids in thin porous substrates",

abstract = "Gillespie's model for the kinetics of radial spreading of a finite liquid reservoir in a thin porous substrate is corrected to properly account for the time dependence of the position of the advancing meniscus. A similarity solution for the liquid volume fraction within the substrate is obtained using power-law expressions for the dependence of the permeability and the capillary pressure on the liquid volume fraction. It is shown that the asymptotic rate of spreading at long times is independent of the initial conditions.",

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AU - Rungta, K. K.

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AB - Gillespie's model for the kinetics of radial spreading of a finite liquid reservoir in a thin porous substrate is corrected to properly account for the time dependence of the position of the advancing meniscus. A similarity solution for the liquid volume fraction within the substrate is obtained using power-law expressions for the dependence of the permeability and the capillary pressure on the liquid volume fraction. It is shown that the asymptotic rate of spreading at long times is independent of the initial conditions.

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EP - 297

JO - Journal of Colloid And Interface Science

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On the radial spreading of liquids in thin porous substrates

Abstract

All Science Journal Classification (ASJC) codes

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