Modelling the effect of pore structure and wetting angles on capillary rise in soils having different wettabilities

Analytical modeling of capillary flow in tubes of nonuniform cross section

“…The dynamic capillary phenomena are of considerable importance for a variety of fields and applications, such as flip-chip encapsulation [1][2][3], microfluidics [4,5], flows in soil [6] and other porous media [7,8]. The first theoretical work on the dynamic capillary rise can be traced back to 1921 when Washburn [9] conducted a theoretical investigation on the penetration of liquids into circular cylindrical capillaries and porous bodies.…”

Flow Kinetics in Porous Ceramics: Understanding with Non‐Uniform Capillary Models

“…A similar expression has been derived 24 for demarcating the limit between wettability and repellency in a non-uniform capillary. In the extreme case, for close-packed arrangements of spheres, the critical contact angle for spontaneous infiltration has been reported to be 511, above which the meniscus is arrested 25 for all orientations.…”

“…In a different approach, 24 both the 'effective' radius as well as the contact angle were considered to be variables for infiltration inside a porous medium, which were extracted by fitting the saturation profile to the Lucas-Washburn equation. Typically, the 'effective' contact angle was found to be larger than the static contact angle 25 and the corresponding 'effective' hydrodynamic radius was found to be larger than that calculated from the static contact angle, due to inclusion of the gravitational potential term.…”

Wetting angle and water sorptivity in mineral soils

“…From previous studies (Czachor 2006) one can expect that the water sorptivity S (Philip 1957;Tillman et al 1989) of soils should be a strongly decreasing function of wetting angle θ. The aim of the paper is verification of the above hypothesis for real porous media (glass powder and two soils).…”