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ARTICLE
Oscillations of an Inviscid Encapsulated Drop
Aleksandr Shiryaev*
Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526, Russia
* Corresponding Author: Aleksandr Shiryaev. Email:
(This article belongs to the Special Issue: Hydrodynamics of a Drop)
Fluid Dynamics & Materials Processing 2020, 16(4), 761-771. https://doi.org/10.32604/fdmp.2020.09010
Received 01 November 2019; Accepted 05 February 2020; Issue published 11 August 2020
Abstract
The problem relating to the small-amplitude free capillary oscillations
of an encapsulated spherical drop is solved theoretically in the framework of
asymptotic methods. Liquids are supposed to be inviscid and immiscible. The formulas derived are presented for different parameters of the inner and outer liquids,
including densities, thickness of the outer liquid layer, and the surface and interfacial tension coefficients. The frequencies of oscillation of the encapsulated drop
are studied in relation to several “modes” which can effectively be determined in
experiments by photo and video analysis. The results are presented in terms of
oscillation frequencies reported as a function of the mode number, the spherical
layer thickness and the relation between the (surface and interfacial) tension coef-
ficients. It is revealed that the influence of the liquids’ parameters (and related variations) on the drop oscillation changes dramatically depending on whether
oscillations are “in-phase” or “out-of-phase”. Frequencies for “in-phase” type
oscillations can be correlated with linear functions of the shell thickness and
the relative values of interfacial tension coefficient whereas the analogous dependencies for the “out-of-phase” type oscillation are essentially non-linear.
Keywords
Cite This Article
APA Style
Shiryaev, A. (2020). Oscillations of an inviscid encapsulated drop. Fluid Dynamics & Materials Processing, 16(4), 761-771. https://doi.org/10.32604/fdmp.2020.09010
Vancouver Style
Shiryaev A. Oscillations of an inviscid encapsulated drop. Fluid Dyn Mater Proc. 2020;16(4):761-771 https://doi.org/10.32604/fdmp.2020.09010
IEEE Style
A. Shiryaev, "Oscillations of an Inviscid Encapsulated Drop," Fluid Dyn. Mater. Proc., vol. 16, no. 4, pp. 761-771. 2020. https://doi.org/10.32604/fdmp.2020.09010
Citations