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Influence of Heterogeneous Plates on the Axisymmetrical Oscillations of a Cylindrical Drop

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Abstract

Natural and forced oscillations of a sandwiched fluid drop are investigated. In equilibrium, the drop is in the form of a cylinder. It is surrounded by another liquid and bounded axially by two parallel solid planes. The Hocking 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. In this case, the Hocking parameter (the so-called wetting parameter) is the proportionality coefficient. This parameter is considered as a function of coordinates, i.e. solid plates have a nonuniform surface. The axisymmetrical vibration force is parallel to the symmetry axis of the drop. The solution of the boundary value problem is found using the Fourier series of Fourier series expansion of the Laplace operator in eigenfunctions. Both the axisymmetrical mode and different azimuthal modes are excited because energy is transferred from the axisymmetrical modes to other modes due to nonuniform surfaces.

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Authors and Affiliations

  1. Institute of Continuous Media Mechanics UB RAS, Academika Koroleva st, 1., Perm, 614013, Russia

    A. A. Alabuzhev

  2. Perm State University, Bukireva st, 15., Perm, 614990, Russia

    A. A. Alabuzhev

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  1. A. A. Alabuzhev
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Correspondence to A. A. Alabuzhev.

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This article belongs to the Topical Collection: Topical Collection on Non-Equilibrium Processes in Continuous Media under Microgravity

Guest Editor: Tatyana Lyubimova

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Alabuzhev, A.A. Influence of Heterogeneous Plates on the Axisymmetrical Oscillations of a Cylindrical Drop. Microgravity Sci. Technol. 30, 25–32 (2018). https://doi.org/10.1007/s12217-017-9571-8

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  • DOI: https://doi.org/10.1007/s12217-017-9571-8

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