Properties of pendular liquid bridges determined on Delaunay’s roulettes

This work addresses the study of capillary bridge properties between two grains, with use of recent analytical model, based on solutions of Young-Laplace equation from an inverse problem. A simple explicit criterion allows to classify the profile of capillary bridge as a surface of revolution with c...

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Bibliographic Details
Main Authors: Mielniczuk, Boleslaw, Millet, Olivier, Gagneux, Gérard, El Youssoufi, Moulay Said
Format: Conference Proceeding
Language:English
Subjects:
Capillary pressure
Contact angle
Curvature
Grains
Internal pressure
Inverse problems
Laplace equation
Liquid bridges
Mathematical models
Ultrasonic testing
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Summary:This work addresses the study of capillary bridge properties between two grains, with use of recent analytical model, based on solutions of Young-Laplace equation from an inverse problem. A simple explicit criterion allows to classify the profile of capillary bridge as a surface of revolution with constant mean curvature (Delaunay roulette) using its measured geometrical parameters (gorge radius, contact angle, half-filling angle). Necessary data are obtained from experimental tests, realized on liquid bridges between two equal spherical grains. Sequences of images are recorded at several (fixed) volumes of liquid and different separations distances between the spheres (from contact to rupture), in laboratory and in micro-gravity conditions. For each configuration, an exact parametric representation of the meridian is revealed. Mean bridge curvature, internal pressure and intergranular capillary force are also determined.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201714009042