Free oscillations of a balanced ball on the horizon of neutral buoyancy in a continuously stratified fluid

Vasil’ev, A. Yu.; Kistovich, A. V.; Chashechkin, Yu. D.

doi:10.1134/s1028335807110067

Cited by 2 publications

(2 citation statements)

References 2 publications

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“…The viscous damping of the oscillations of the sphere was considered by Vasil'ev, Kistovich &Chashechkin (2009). Using a no-slip boundary condition, the oscillations were obtained as a series…”

Section: Viscous Analysismentioning

confidence: 99%

“…The viscous damping of the oscillations of the sphere was considered by Vasil'ev, Kistovich & Chashechkin (2007) and Vasil'ev & Chashechkin (2009). Using a no-slip boundary condition, the oscillations were obtained as a series of the same general form as the inviscid result (2.27), with the functions satisfying an integro-differential system to be solved by the method of multiple scales.…”

Section: Free Oscillationsmentioning

confidence: 99%

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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: Viscous Analysismentioning

confidence: 99%

Section: Free Oscillationsmentioning

confidence: 99%

Buoyancy oscillations

Voisin

2024

J. Fluid Mech.

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Power-law decaying oscillations of neutrally buoyant spheres in continuously stratified fluid

et al. 2008

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The free sinking motion of small spheres is experimentally investigated in a laboratory tank filled up with continuously stratified salt solutions. Special attention is paid to the late stage oscillations around the gravitational equilibrium level. Such motion is generated by slowly decaying weak internal waves originating from the interaction of the solid sphere with the surrounding fluid. The temporal decay of oscillation amplitudes and velocities can be best described by a power law of exponent value close to −3∕2. Up to our best knowledge, none of the existing theories can predict a similar algebraic decay.

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Free oscillations of a balanced ball on the horizon of neutral buoyancy in a continuously stratified fluid

Cited by 2 publications

References 2 publications

Buoyancy oscillations

Buoyancy oscillations

Power-law decaying oscillations of neutrally buoyant spheres in continuously stratified fluid

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