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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 1, Pages 12–23 (Mi pmtf1322)  

This article is cited in 23 scientific papers (total in 23 papers)

Effect of the contact-line dynamics on the oscillations of a compressed droplet

A. A. Alabuzheva, D. V. Lyubimovb

a Institute of Mechanics of Continuous Media, Ural Branch, Russian Academy of Sciences, Perm’, 614013, Russia
b Perm’ State University, Perm’, 614990, Russia
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.
Received: 21.02.2011
English version:
Journal of Applied Mechanics and Technical Physics, 2012, Volume 53, Issue 1, Pages 9–19
DOI: https://doi.org/10.1134/S0021894412010026
Bibliographic databases:
Document Type: Article
UDC: 532.5.032
Language: Russian
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
Citation in format AMSBIB
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\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:
    1. Aleksey A. Alabuzhev, “Forced oscillations of gas bubble with hysteresis of contact angle”, Physics of Fluids, 37:2 (2025)  crossref
    2. Aleksey A. Alabuzhev, “Influence of contact angle hysteresis on forced oscillations of a clamped drop”, Physics of Fluids, 36:9 (2024)  crossref
    3. 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)  crossref
    4. M A Kashina, A A Alabuzhev, “The deformed oblate drop's free translational oscillations”, J. Phys.: Conf. Ser., 2317:1 (2022), 012017  crossref
    5. 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)  crossref
    6. 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  crossref
    7. 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  crossref
    8. 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)  crossref
    9. 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  crossref
    10. 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  crossref
    11. M A Kashina, A A Alabuzhev, “Oscillations of oblate drop between heterogeneous plates under uniform electric field”, J. Phys.: Conf. Ser., 955 (2018), 012016  crossref
    12. 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  crossref
    13. A. A. Alabuzhev, “Influence of Heterogeneous Plates on the Axisymmetrical Oscillations of a Cylindrical Drop”, Microgravity Sci. Technol., 30:1-2 (2018), 25  crossref
    14. A A Alabuznev, “Influence of a surface plates inhomogeneity on a translation oscillations of a drop”, J. Phys.: Conf. Ser., 894 (2017), 012002  crossref
    15. 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  crossref
    16. 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  crossref
    17. 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  crossref
    18. A.A. Alabuzhev, “Translational oscillations of a cylindrical drop in a bounded volume of fluid”, Comp. Contin. Mech., 9:4 (2016), 453  crossref
    19. 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  crossref
    20. 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  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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