Journal ArticleDOI
Theory of the rate of wetting of a porous medium
S. Levine,Graham H. Neale +1 more
TLDR
In this paper, the classic equations of Washburn and Rideal for the rate of penetration of a fluid into a capillary due to surface tension are re-examined and time-dependent solutions are obtained for large times in both horizontal and vertical flow.Abstract:
The classic equations of Washburn and Rideal for the rate of penetration of a fluid into a capillary due to surface tension are re-examined and time-dependent solutions are obtained for large times in both horizontal and vertical flow. By applying Darcy's law, a general theory of wetting of a porous medium is derived. The rate of fluid penetration is expressed in a form analogous to that for a capillary, in terms of fluid viscosity, surface tension, porosity and permeability. The permeability is calculated for the Happel–Kuwabara cell model of a porous medium, consisting of a swarm of identical spherical particles.read more
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Journal ArticleDOI
Dynamics of Capillary Rise.
TL;DR: An overview and detailed analysis of the classical theory of capillarity is presented, and a simplified relation for the capillary rise dynamics in the case of strong depletion of the interfacial region is obtained, in qualitative agreement with the experimental behavior.
Journal ArticleDOI
The radial capillary
TL;DR: In this article, the radial motion of a liquid which penetrates a thin porous medium on the kinetics of the process is analyzed. But the model is not suitable for the case of infinite liquid reservoirs and it is shown that the rate of penetration into the radial capillary is slower than that into either a cylindrical or a unidirectional flat plate capillary.
Journal ArticleDOI
Penetration of a small drop into a capillary
TL;DR: In this article, the theory of capillary penetration has been extended to include the case of drops of a finite size, and a thermodynamic discussion and a kinetic theory are presented.
Journal ArticleDOI
A theory of capillary rise of a liquid in a vertical cylindrical tube and in a parallel-plate channel
S. Levine,S. Levine,James Lowndes,James Lowndes,Eric J Watson,Eric J Watson,Graham Neale,Graham Neale +7 more
TL;DR: In this article, a generalization of Washburn's formula for the rate of rise of the meniscus as a function of height in a cylindrical tube is obtained, where the tangential shear stress is zero and continuity of normal stress is approximated by assuming a fixed spherical shape.
Journal ArticleDOI
Capillary flow phenomena and wettability in porous media: II. Dynamic flow studies
TL;DR: The dynamics of capillary penetration of liquids into packs of monodisperse spherical beads of varying surface energy have been studied in this article, where the STVF model of Miller and Miller was shown to be valid for similar media of varying particle sizes and for liquids with different physical properties but exhibiting the same contact angle.