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Linear Oscillations of a Supported Bubble or Drop

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    0393284 - ÚCHP 2014 RIV US eng J - Journal Article
    Vejražka, Jiří - Vobecká, Lucie - Tihon, Jaroslav
    Linear Oscillations of a Supported Bubble or Drop.
    Physics of Fluids. Roč. 25, č. 6 (2013), 062102. ISSN 1070-6631. E-ISSN 1089-7666
    R&D Projects: GA ČR GAP101/11/0806
    Grant - others:COST(XE) MP1106
    Program:COST Actions
    Institutional support: RVO:67985858
    Keywords : oscillating bubble or drop * linear oscillations * lagrange equation
    Subject RIV: CI - Industrial Chemistry, Chemical Engineering
    Impact factor: 2.040, year: 2013

    Shape oscillations of a spherical bubble or drop, which has a part of the interface fixed due to contact with a solid support, are studied analytically using variational methods. Linear oscillations and irrotational flow are assumed. The analysis is parallel to those of Strani and Sabetta (J Fluid Mech 141 (1984)) and Bostwick and Steen (Phys Fluids 21 (2009), 032108), but is able to determine also the response of bubbles or drops to the imposed movements of its support or variations of its volume. The analysis leads to the equations of motion with a simple structure, from which the eigenmodes and the frequency-response to periodic forcing are easily determined.
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