Stability of a swarm of air bubbles in an oscillating liquid

Apshtein, E. Z.; Grigoryan, S. S.; Yakimov, Yu. L.

doi:10.1007/bf01025143

Cited by 3 publications

(2 citation statements)

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“…We have also found out the double resonance, Ω ≈ Ω 0 ≈ Ω k , where Ω is the frequency of substrate vibration. As it follows from (31), in this oscillation regime the resonant amplitude A res ∝ (Ω 2 0 − Ω 2 k ) −2 . The divergence of A res as Ω → Ω 0 = Ω k follows directly from the problem of natural oscillations, where the specific case Ω 0 = Ω k predicts no damping of oscillations.…”

Section: Discussionmentioning

confidence: 99%

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Linear oscillations of a compressible hemispherical bubble on a solid substrate

Shklyaev

Straube

2008

Physics of Fluids

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The linear natural and forced oscillations of a compressible hemispherical bubble on a solid substrate are under theoretical consideration. The contact line dynamics is taken into account by application of the Hocking condition, which eventually leads to nontrivial interaction of the shape and volume oscillations. Resonant phenomena, mostly pronounced for the bubble with the fixed contact line or with the fixed contact angle, are found out. A double resonance, where independent of the Hocking parameter an unbounded growth of the amplitude occurs, is detected. The limiting case of weakly compressible bubble is studied. The general criterion identifying whether the compressibility of a bubble can be neglected is obtained.

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Section: Discussionmentioning

confidence: 99%

“…5. For a spherical bubble, a similar way of treating this peculiarity of the pressure field has been applied before, 1,31 where the bubble has been immersed in a vibrated column of liquid with a free surface and the impact of vibrations on the spherically symmetric oscillation mode has been studied.…”

Section: Forced Oscillationsmentioning

confidence: 99%

Linear oscillations of a compressible hemispherical bubble on a solid substrate

Shklyaev

Straube

2008

Physics of Fluids

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Sinking bubbles in a fluid under vertical vibration

Zhou

2021

Physics of Fluids

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The special nonlinear effect of sinking bubbles is observed when the container partially filled with a liquid is excited by vibration. This paper is concerned with this interesting phenomenon in an incompressible viscous fluid under vertical vibration. We construct the theoretical model from the view of vibration mechanics and fluid mechanics. According to theoretical analysis, we derive the accurate model of the bubble moving in the liquid and the added mass caused by it. After that, the control equation of the bubble is given by the force analysis and the differential equation of variable-mass systems. Besides, the critical depth of the sinking bubble is derived based on the method of direct separation of motions. We further explore and analyze the specific reasons why the bubbles sink. At the same time, the conditions where the variable mass has a significant influence on the motion of the object are given. The main factors affecting the sinking of bubbles, density, frequency, and amplitude are numerically simulated and analyzed with different conditions. To prevent or weaken the effect of sinking bubbles in the oscillating fluid, feasible approaches are proposed. Meanwhile, the theory is validated experimentally.

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Effect of a contact line dynamics on oscillations of oblate bubble in a non-uniform electric field

Kashina

Alabuzhev

2018

J. Phys.: Conf. Ser.

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Stability of a swarm of air bubbles in an oscillating liquid

Cited by 3 publications

References 0 publications

Linear oscillations of a compressible hemispherical bubble on a solid substrate

Linear oscillations of a compressible hemispherical bubble on a solid substrate

Sinking bubbles in a fluid under vertical vibration

Effect of a contact line dynamics on oscillations of oblate bubble in a non-uniform electric field

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