Extreme Properties of Oscillations of an Elliptical Float

Акуленко, Л. Д.; Baydulov, V. G.

doi:10.1134/s1028335819070048

Cited by 1 publication

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“…For internal waves, a vertical disc floating at the interface of a two-layer fluid has been studied theoretically by Warren (1968), and Sretenskii's float theoretically by Akulenko & Nesterov (1987) and Akulenko et al. (1988), and experimentally by Pyl'nev & Razumeenko (1991), while Akulenko, Mikhailov & Nesterov (1990), Akulenko & Baidulov (2019) and Baidulov (2022) considered the effect of the shape of the cross-section.…”

Section: Introductionmentioning

confidence: 99%

Buoyancy oscillations

Voisin

2024

J. Fluid Mech.

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The oscillations of buoyant bodies in stratified fluids are deduced from the variations of their added mass. Three configurations are considered: a body displaced from its neutral level then released; a Cartesian diver set into oscillation by a modulation of the hydrostatic pressure, then released; and a body attached to a pendulum to which an impulse is applied. The first configuration is related to the dynamics of Lagrangian floats in the ocean. Two particular bodies are considered: an elliptic cylinder of horizontal axis, typical of two-dimensional bodies; and a spheroid of vertical axis, typical of three-dimensional bodies. The ultimate motion of the body consists of oscillations at the buoyancy frequency with an amplitude decaying algebraically with time. Before that, the resonant response of the system is observed, either aperiodic exponential decay when the system has no intrinsic dynamics, or exponentially damped oscillation otherwise. Comparison with available measurements demonstrates the need to include viscous dissipation in the analysis. At high Stokes number, dissipation comes from the Basset–Boussinesq memory force and is affected negligibly by the stratification; at low Stokes number, dissipation comes from Stokes resistance and exhibits a significant effect of the stratification.

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Section: Introductionmentioning

confidence: 99%

Buoyancy oscillations

Voisin

2024

J. Fluid Mech.

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Extreme Properties of Oscillations of an Elliptical Float

Cited by 1 publication

References 2 publications

Buoyancy oscillations

Buoyancy oscillations

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