Abstract:
This paper studies the natural and forced oscillations of a deformed droplet of an inviscid liquid surrounded by a different liquid and bounded in the axial direction by solid planes. In equilibrium, the droplet is a figure of revolution and the ratio of its radius to height is significant. The equilibrium contact angle between the side surface of the droplet and the solid surface is different from a right angle. The motion of the contact line is taken into account by setting an effective boundary condition. It is shown that three characteristic ranges of natural frequencies exist.
Keywords:
contact-line dynamics, natural and forced oscillations.
Citation:
A. A. Alabuzhev, D. V. Lyubimov, “Effect of the contact-line dynamics on the oscillations of a compressed droplet”, Prikl. Mekh. Tekh. Fiz., 53:1 (2012), 12–23; J. Appl. Mech. Tech. Phys., 53:1 (2012), 9–19
\Bibitem{AlaLyu12}
\by A.~A.~Alabuzhev, D.~V.~Lyubimov
\paper Effect of the contact-line dynamics on the oscillations of a compressed droplet
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 1
\pages 12--23
\mathnet{http://mi.mathnet.ru/pmtf1322}
\elib{https://elibrary.ru/item.asp?id=17320576}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 1
\pages 9--19
\crossref{https://doi.org/10.1134/S0021894412010026}
Linking options:
https://www.mathnet.ru/eng/pmtf1322
https://www.mathnet.ru/eng/pmtf/v53/i1/p12
This publication is cited in the following 23 articles:
Aleksey A. Alabuzhev, “Forced oscillations of gas bubble with hysteresis of contact angle”, Physics of Fluids, 37:2 (2025)
Aleksey A. Alabuzhev, “Influence of contact angle hysteresis on forced oscillations of a clamped drop”, Physics of Fluids, 36:9 (2024)
Marina A. Pyankova, Aleksey A. Alabuzhev, “Influence of the properties of the plate surface on the oscillations of the cramped drop”, Physics of Fluids, 34:9 (2022)
M A Kashina, A A Alabuzhev, “The deformed oblate drop's free translational oscillations”, J. Phys.: Conf. Ser., 2317:1 (2022), 012017
Yen-Chen Chen, Brock Jolicoeur, Chih-Che Chueh, Kun-Ta Wu, “Flow coupling between active and passive fluids across water–oil interfaces”, Sci Rep, 11:1 (2021)
M A Kashina, A A Alabuzhev, “Influence of the Properties of the Plate Surface on the Natural Oscillations of the Clamped Drop”, J. Phys.: Conf. Ser., 1945:1 (2021), 012014
A A Alabuzhev, “The Influence of a Heterogeneous Surface on the Free Volume Oscillations of an Oblate Gas Bubble”, J. Phys.: Conf. Ser., 1945:1 (2021), 012001
M. A. Kashina, A. A. Alabuzhev, “The Forced Oscillations of an Oblate Drop Sandwiched Between Different Inhomogeneous Surfaces under AC Vibrational Force”, Microgravity Sci. Technol., 33:3 (2021)
A A Alabuzhev, “The influence of difference in the surface properties on the axisymmetric oscillations of an oblate drop”, J. Phys.: Conf. Ser., 1268:1 (2019), 012002
M A Kashina, A A Alabuzhev, “The influence of difference in the surface properties on the axisymmetric vibrations of an oblate drop in an AC field”, J. Phys.: Conf. Ser., 1163 (2019), 012017
M A Kashina, A A Alabuzhev, “Oscillations of oblate drop between heterogeneous plates under uniform electric field”, J. Phys.: Conf. Ser., 955 (2018), 012016
M. A. Kashina, A. A. Alabuzhev, “The Dynamics of Oblate Drop Between Heterogeneous Plates Under Alternating Electric Field”, Microgravity Sci. Technol., 30:1-2 (2018), 11
A. A. Alabuzhev, “Influence of Heterogeneous Plates on the Axisymmetrical Oscillations of a Cylindrical Drop”, Microgravity Sci. Technol., 30:1-2 (2018), 25
A A Alabuznev, “Influence of a surface plates inhomogeneity on a translation oscillations of a drop”, J. Phys.: Conf. Ser., 894 (2017), 012002
A A Alabuzhev, M I Kaysina, “The axisymmetric oscillations of a cylindrical bubble in a liquid bounded volume with free deformable interface”, J. Phys.: Conf. Ser., 929 (2017), 012106
A A Alabuzhev, M A Kashina, “The oscillations of oblate drop under the influence of a alternating electric field”, J. Phys.: Conf. Ser., 929 (2017), 012107
A A Alabuzhev, M A Kashina, “The dynamics of hemispherical drop under the influence of a alternating electric field”, J. Phys.: Conf. Ser., 894 (2017), 012003
A.A. Alabuzhev, “Translational oscillations of a cylindrical drop in a bounded volume of fluid”, Comp. Contin. Mech., 9:4 (2016), 453
A A Alabuzhev, M I Kaysina, “The translational oscillations of a cylindrical bubble in a bounded volume of a liquid with free deformable interface”, J. Phys.: Conf. Ser., 681 (2016), 012043
A A Alabuzhev, M A Kashina, “The oscillations of cylindrical drop under the influence of a nonuniform alternating electric field”, J. Phys.: Conf. Ser., 681 (2016), 012042