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Modelling the wetting of a solid occlusion by a liquid film
Institution:1. Department of Mineral Sciences, National Museum of Natural History, Smithsonian Institution, 10th Street & Constitution Avenue NW, Washington, DC 20560-0119, United States;2. School of Earth Sciences, University of Bristol, Wills Memorial Building, Queen''s Road, BS8 1RJ, Bristol, United Kingdom;3. Department of Geological Sciences, University of Missouri, 101 Geological Sciences, Columbia, MO 65211-1380, United States;1. Instituto de Ciencia de Materiales de Madrid (CSIC), c/ Sor Juana Inés de la Cruz 3, 28049 Madrid, Spain;2. Departamento de Física de la Materia Condensada, Universidad de Sevilla, Av. Reina Mercedes, 41012 Seville, Spain;3. ICMS (CSIC-US), Av. Américo Vespucio 49, 41092 Seville, Spain;1. Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College London, London, UK;2. Department of Chemical Engineering, Imperial College London, London, UK
Abstract:We investigate in this work how the presence of an occlusion affects the dynamics of the wetting front of a liquid film draining down a vertical surface. This numerical study is developed in the context of the lubrication approximation. Through a parametric study, we show that depending on the asymptotic film thickness and the fluid properties, there exists a critical substrate contact angle below which separation of the contact line from the occlusion wall is observed which results in the appearance of a dry zone in the wake of the occlusion. In analogy with external aerodynamics, we also show that a sharp corner in the occlusion can induce this contact line separation. Our numerical results also highlight the importance of the occlusion wettability on the morphology of the wetting front suggesting a possible mechanism to control and mitigate the often undesirable fingering instability.
Keywords:Thin liquid film  Wetting  Capillarity  Film rupture
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