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Motion of a liquid bridge in a capillary slot: a numerical investigation of wettability and geometrical effects

This study presents the dynamic behavior of a liquid volume (bridge, film), submitted to different physical phenomena. Effects of surface phenomena such as wetting, surface tension and mechanical phenomena such as strong body force (centrifugation) in various configurations are explored. A numerical modeling approach was undertaken, using Thetis software, developed by I2M (Institute of Mechanics and Engineering of Bordeaux), to study the influence of the mentioned physical phenomena on the displacement of a viscous liquid. At first, in order to illustrate the ability of the numerical model of wettability and to assess its validity, two different test cases are presented. Post-treatment of the results show that static and dynamic contact angles, were satisfactorily simulated. Subsequently, numerical description of the formation of a liquid bridge, due to the growth and coalescence of two microdrops growing at constant flow rate is studied. Then, the evolution of the liquid bridge under the action of a body force is investigated. This case is of practical importance for self-healing matrix composites, whose lifetime depends on the formation and residence time of a viscous plug in micrometric cracks.