Summary
This paper is concerned with the geometrical shape, wetting length, and contact angle of a microdroplet on a fiber by using the method free energy variation. The governing equation and relevant boundary conditions of the microdroplet were re-derived based on the free energy variation of the droplet/fiber system. The geometrical shape of the droplet was determined as the combination of Legendre's elliptical functions of the first and second kinds, corresponding to the previous results in literature [6]. For contact angle θ >15°, a novel efficient semi-analytic approach was proposed to extract the contact angle from experimental data. The given approach can be used as theoretical basis of determining surface tension of fluids based on a sessile drop on a fiber.
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Wu, X.F., Dzenis, Y.A. Droplet on a fiber: geometrical shape and contact angle. Acta Mechanica 185, 215–225 (2006). https://doi.org/10.1007/s00707-006-0349-0
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DOI: https://doi.org/10.1007/s00707-006-0349-0