Forced Axisymmetric Oscillations of a Drop, which is Clamped Between Different Surfaces

• Published in: Microgravity science and technology Vol. 32; no. 4; pp. 545 - 553
• Main Author: Alabuzhev, A. A.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.08.2020; Springer Nature B.V
• Subjects: Aerospace Technology and Astronautics; Boundary value problems; Classical and Continuum Physics; Contact angle; Eigenvectors; Engineering; Forced vibration; Fourier series; Multiphase Fluid Dynamics in Microgravity; Original Article; Oscillation modes; Resonant frequencies; Series expansion; Space Exploration and Astronautics; Space Sciences (including Extraterrestrial Physics; Cylindrical drop; Wettability; Axisymmetrical oscillations; Force oscillations; Contact line dynamics; Fluid drop
• ISSN: 0938-0108; 1875-0494
• DOI: 10.1007/s12217-020-09783-2

We consider forced oscillations of a oblate fluid drop, which is surrounded by another liquid and confined between two parallel rigid plates subject to vibrations. The axisymmetrical vibration force is parallel to the symmetry axis of the drop. The velocity of the contact line motion is proportional to the deviation of the contact angle from its equilibrium value. The proportionality factors are different for each solid plate , which accounts for the reason of excitation of additional shape oscillation modes and the appearance of new resonant frequencies. The solution of the boundary value problem is found using the Fourier series expansion into eigenfunctions of the Laplace operator.