Generalized Young equation for a spherical droplet inside a smooth and homogeneous cone involved by quadratic parabola

Long Zhou, Guang-Hua Sun, Guo-Qiang Chen, Ai-Jun Hu, Xiao-Song Wang

Abstract


We thermodynamically investigate the wetting characteristics of a spherical droplet in a smooth and homogeneous cone rotated by the quadratic parabola through the mechanisms of both Gibbs’s dividing surfaces and Rusanov’s dividing line. For the triple phase system including the solid, liquid and vapor phases, the derivation of a generalized Young equation containing the influences of the line tension is successfully carried out. Additionally, we as well analyze various approximate forms for this generalized Young equation by using the corresponding assumptions.


Keywords


Liquid droplet; generalized Young equation; line tension; quadratic parabola; contact angle; cone

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References


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