Pendular, Funicular, and Capillary Bridges: Results for Two Dimensions

Urso, M. E. D.; Lawrence, C.J.; Adams, M.J.

doi:10.1006/jcis.1999.6512

Cited by 69 publications

(39 citation statements)

References 16 publications

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“…In order to validate the model, the theoretical force of pendular bridge between two equal disks has been calculated analyt- ically [13] and compared with results of our numerical procedure. The equations for the analytic calculation for this simple geometry are listed in Appendix A.…”

Section: Validation Of the Modelmentioning

confidence: 99%

The strength of liquid bridges in random granular materials

Grof

Lawrence

Štěpánek

2008

Journal of Colloid and Interface Science

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Section: Validation Of the Modelmentioning

confidence: 99%

The strength of liquid bridges in random granular materials

Grof

Lawrence

Štěpánek

2008

Journal of Colloid and Interface Science

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“…An equal capillary model was used to investigate the effect of AWL on percolation (Chen et al, 1996;Tsakiroglou and Payatakes, 1998;Urso et al, 1999). According to the determination of the Reynolds number, Re = D · U · ρ / μ, where D is the diameter of tube; U, μ, ρ are the velocity, viscosity and density of fluid respectively.…”

Section: Effect Of Awl On Percolationmentioning

confidence: 99%

Model study on the irreducible water saturation by centrifuge experiments

Liu

Yue

Wang

et al. 2006

Journal of Petroleum Science and Engineering

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“…Capillary trapping in other related geometries has been studied using a variety of methods. Urso et al [11] analysed trapping of a liquid in a two-dimensional porous medium comprised of horizontal cylinders. They studied trapping in the limit of small liquid volumes, where gravitational effects can be neglected and the liquid-fluid interfaces may be approximated by circular arcs.…”

Section: Introductionmentioning

confidence: 99%

Maximal liquid bridges between horizontal cylinders

2016

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We investigate two-dimensional liquid bridges trapped between pairs of identical horizontal cylinders. The cylinders support forces owing to surface tension and hydrostatic pressure that balance the weight of the liquid. The shape of the liquid bridge is determined by analytically solving the nonlinear Laplace–Young equation. Parameters that maximize the trapping capacity (defined as the cross-sectional area of the liquid bridge) are then determined. The results show that these parameters can be approximated with simple relationships when the radius of the cylinders is small compared with the capillary length. For such small cylinders, liquid bridges with the largest cross-sectional area occur when the centre-to-centre distance between the cylinders is approximately twice the capillary length. The maximum trapping capacity for a pair of cylinders at a given separation is linearly related to the separation when it is small compared with the capillary length. The meniscus slope angle of the largest liquid bridge produced in this regime is also a linear function of the separation. We additionally derive approximate solutions for the profile of a liquid bridge, using the linearized Laplace–Young equation. These solutions analytically verify the above-mentioned relationships obtained for the maximization of the trapping capacity.

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Pendular, Funicular, and Capillary Bridges: Results for Two Dimensions

Cited by 69 publications

References 16 publications

The strength of liquid bridges in random granular materials

The strength of liquid bridges in random granular materials

Model study on the irreducible water saturation by centrifuge experiments

Maximal liquid bridges between horizontal cylinders

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