Characterisation of pendular capillary bridges derived from experimental data using inverse problem method
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In this study we use the recent analytical model to analyze capillary interactions in liquid bridge between two spherical grains, with fixed volumes of liquid and varying separation distance. Sequences of images of capillary bridges with different parameters are recorded during experimental tests. Geometrical parameters, as contact angle, half-filling angle and neck radius, are determined by image processing. Profiles of examined bridges are approximated as a Delaunay’s roulette and superposed on recorded images. Evolution of associated variables (Laplace pressure, capillary force) is also calculated. Results of theoretical modeling are compared with the experimental ones. They match very accurately for small volumes and/or small separation distances, when influence of gravity is not significant. For larger liquid volumes and/or larger separation distances between grains the influence of the gravity is observed as a distortion (loss of symmetry) of capillary bridge. To avoid this deformation, several test were realized in micro-gravity conditions. For these tests, theoretical results are in good agreement with experimental ones, also for higher liquid volumes and/or separations distances.
KeywordsCapillary bridge Young–Laplace equation Inverse problem Experimental measurement
The part of the work concerning the experiments in micro-gravity was supported by the CNES (joint project PARABOLE 2015, VP118, between LaSIE-LMGC-CNES).
Compliance with ethical standards
Conflict of interest
The authors declare that they have no conflict of interest.
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