TY - EJOU
AU - Shiryaev, Aleksandr
TI - Oscillations of an Inviscid Encapsulated Drop
T2 - Fluid Dynamics \& Materials Processing
PY - 2020
VL - 16
IS - 4
SN - 1555-2578
AB - 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.
KW - Encapsulated drop; oscillation frequencies; inviscid fluid
DO - 10.32604/fdmp.2020.09010