Numerical simulation of liquid transfer between particles

Modeling the evolution and rupture of stretching pendular liquid bridges

“…Pepin et al also pointed out that the toroidal approximation is slightly less accurate and more difficult to use since one of the parameters of the toroidal approximation approaches infinity when the bridge shape converts from convex to concave, causing numerical difficulty. Shi and McCarthy (2008) also argued that the toroidal approximation is restricted to particles that have the same contact angles. In conclusion, the parabolic approximation is more robust and more general than the toroidal approximation.…”

“…For our simplified model, the system of equations proposed by Shi and McCarthy (2008) is combined with a closure criterion proposed by Pepin et al (2000a). Note that the simplified model is based on several assumptions; for instance, it assumes that the inertial, viscous, and gravitational effects are negligible compared with the surface tension effects, and that the bridge has a parabolic shape.…”

“…As mentioned before, our simplified model is a combination of the system of equations developed by Shi and McCarthy (2008) and the closure criterion by Pepin et al (2000a). The equations representing the parabolic shape of the bridge are presented in the following section, followed by a discussion of the closure criterion for determining the rupture distance.…”

“…A comprehensive chronological review of the research up to 1980 concerning the pendular bridges between solid bodies was conducted by Mehrotra and Sastry (1980), who showed that significant improvements could be made in this area. Following their review, a significant amount of research was conducted in this area, with the following two major goals: (1) improving the force and energy expressions associated with pendular liquid bridges (e.g., Chan and Horn, 1985;Darabi et al, 2009;Ennis et al, 1990Ennis et al, , 1991Lian et al, 1993;Mazzone et al, 1987;Mikami et al, 1998;Pitois et al, 2000Pitois et al, , 2001Simons et al, 1994;Soulie et al, 2006) and (2) obtaining a better understanding of the stability and modeling the evolution of pendular liquid bridges (Dai and Lu, 1998;De Bisschop and Rigole, 1982;Lian et al, 1993;Mazzone et al, 1986;Pepin et al, 2000aPepin et al, , 2000bShi and McCarthy, 2008).…”

Shape of Liquid Bridges in a Horizontal Fracture

“…The related studies in the literature are not limited to static liquid bridges. In the past decades, the dynamic evolution of the gas-liquid interface and the rupture of a liquid bridge have been the subject of numerous publications [36][37][38][39][40]. This article is focused on the shape of liquid bridges between rock matrix blocks and addresses the liquid bridges formed between two parallel plates.…”