Fine Structure of Meniscus of a Wetting Liquid |
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Authors: | Oleg V Voinov |
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Institution: | Institute of Mechanics of Multiphase Systems, Russian Academy of Sciences, Siberian Branch, Tyumen, 625000, Russia |
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Abstract: | Equilibrium of a capillary meniscus near a wetting film on a solid in a gravitational field is considered. Unlike previous studies, the present study proves that the fine meniscus structure in a gravitational field is a universal feature—it takes place in a wide variety of problems. In the general case, the capillary meniscus is at a certain distance from the wetting film and does not intersect it. The relation for the minimum distance from the arbitrary meniscus to the solid generalizes the Derjaguin formula for a flat slit. An equation that optimally approximates the meniscus with due account of the contribution of the meniscus/film transition region is derived. A refined solution to the problem of a meniscus on a vertical plate is derived within the perturbation theory. Both gravity and nonuniformity of the vertical static film above a capillary–gravitational meniscus do not affect the minimum distance (the influence is less than 0.0001). A general method for solving sophisticated problems of capillary equilibrium in gravitational field is proposed. |
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Keywords: | capillary meniscus wetting film Van der Waals forces |
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