On the capillary bridge between spherical particles of unequal size: analytical and experimental approaches
- 30 Downloads
This manuscript focuses on the meridional profile of the axisymmetric capillary bridges built between two unequal-sized solid spheres. We propose an original method of resolution of Young Laplace equation based on inverse problem. The shapes of capillary bridges are classified into different categories depending on the geometrical properties, including neck radius, half-filling angle, wetting angle, and distance between two spheres. Practically, all the physical characteristics of capillary bridges, such as the free surface area of the liquid bridge and the inter-particle force, can be calculated easily. In addition, the experimental data provided in this manuscript are compared with analytical results, by matching the theoretical estimation with the data obtained from real experiments using image processing algorithm.
KeywordsCapillary bridge Young–Laplace equation Polydisperse Inter-particle force Experimental measurement
Unable to display preview. Download preview PDF.
- 1.Delaunay, C.: Sur la surface de révolution dont la courbure moyenne est constante. J. Math. Pures Appl. 309–314 (1841)Google Scholar
- 3.Duriez, J., Wan, R.: Contact angle mechanical influence in wet granular soils. Acta Geotech. 1–17 (2016)Google Scholar
- 4.Gagneux, G., Millet, O., Mielniczuk, B., El Youssoufi, M.S.: Theoretical and experimental study of pendular regime in unsaturated granular media. Eur. J. Environ. Civ. Eng. 1–14 (2016)Google Scholar
- 13.Mielniczuk, B., Millet, O., Gagneux, G., El Youssoufi, M.S.: Properties of pendular liquid bridges determined on delaunays roulettes. In EPJ Web of Conferences, vol. 140, pp. 09042. EDP Sciences (2017)Google Scholar