Open AccessThe influence of difference in the surface properties on the axisymmetric oscillations of an oblate drop
Author(s) -
A. A. Alabuzhev
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1268/1/012002
Subject(s) - axial symmetry , drop (telecommunication) , physics , rotational symmetry , mechanics , boundary value problem , fourier series , contact angle , oblate spheroid , wetting , classical mechanics , laplace transform , mathematical analysis , mathematics , thermodynamics , telecommunications , quantum mechanics , computer science
The forced axisymmetric oscillations of an oblate fluid drop are investigated. A drop is cylindrical in equilibrium, surrounded by another liquid and bounded axially by two parallel solid plates. These plates have different surfaces. Hocking’s boundary conditions hold on the contact line: the velocity of the contact line motion is proportional to the deviation of the contact angle from its equilibrium value. The Hocking’s parameter (so-called wetting parameter) is the proportionality coefficient in this case and it is different for each plate. The vibration force is parallel to the symmetry axis of the drop. The solution of the boundary value problem is found using Fourier series of Laplace operator eigen functions.