Interactions between a central bubble and a surrounding bubble cluster

Zhang, A‐Man; Li, Shi-Min; Cui, Pu; Li, Shuai; Liu, Yunlong

doi:10.1016/j.taml.2023.100438

Cited by 16 publications

(3 citation statements)

References 39 publications

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“…2021; Zhang et al. 2023 b ). Therefore, BIM is adopted to simulate the behaviour of the bubble and free surface, with the rigid wall equivalent to the mirror bubble and free surface.…”

Section: Introductionmentioning

confidence: 99%

“…Regarding the numerical method, the BIM has been widely applied in modelling bubble dynamics because of its high accuracy and efficiency in dealing with the three-dimensional problem (Shima & Sato 1980;Wang & Blake 2010Zhang & Liu 2015;Zhang et al 2023b). Therefore, BIM is adopted to simulate the behaviour of the bubble and free surface, with the rigid wall equivalent to the mirror bubble and free surface.…”

Section: Introductionmentioning

confidence: 99%

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Vertically neutral collapse of a pulsating bubble at the corner of a free surface and a rigid wall

Zhang

Cui

et al. 2023

J. Fluid Mech.

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Vertically neutral collapse of a pulsating bubble occurs when the boundaries above or below the bubble balance the buoyancy effect over a pulsation. In this study, the vertically neutral collapse of a bubble near a vertical rigid wall below the free surface is investigated. The boundary integral method (BIM) is employed to model the bubble dynamics with an open-domain free surface. Moreover, this method is validated against several buoyant bubble experiments. Bubble dynamics in such conditions are associated with three dimensionless parameters: the bubble-free surface distance $\gamma _{{f}}$ , bubble–wall distance $\gamma _{{w}}$ and buoyancy parameter $\delta$ . We derive the Kelvin impulse of a spherical bubble and the algebraic relationship for vertically neutral collapse, which proves to be accurate for predicting vertically neutral collapse when the bubble is relatively far from the boundaries. Four patterns of the vertically neutral collapse of the bubble for different $\gamma _{{w}}$ and $\gamma _{{f}}$ are identified: (i) formally downward jet; (ii) annular collapse; (iii) horizontal jet; and (iv) weak jet. Despite the downward jet shape, the ‘formally downward jet’ is in the vertically neutral collapse state in terms of the profile of toroidal bubbles and the orientation of local high-pressure zones around the bubble at jet impact. A bulge with a high curvature above the bubble in the ‘annular collapse’ pattern is formed during bubble collapse under two local high-pressure zones at the left and right extremities of the bubble. The ‘horizontal jet’ pattern has the greatest potential to attack the wall, and the power laws of the moment of the jet impact, jet velocity and bubble displacement with respect to the theoretical Kelvin impulse are discussed. In particular, we quantitatively illustrate the role of the free surface on bubble migration towards the wall through the variational power-law exponents of the bubble displacement with respect to $\gamma _{{w}}$ .

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“…2021; Zhang et al. 2023 b ). Therefore, BIM is adopted to simulate the behaviour of the bubble and free surface, with the rigid wall equivalent to the mirror bubble and free surface.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vertically neutral collapse of a pulsating bubble at the corner of a free surface and a rigid wall

Zhang

Cui

et al. 2023

J. Fluid Mech.

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“…When the third bubble is included, it enhances or weakens the strength of the bubble jets generated by the other two bubbles depending on the phase and size difference of the three bubbles [51]. In addition, for bubble clusters formed by more bubbles, the bubbles inside the cluster are accelerated in collapsing by the surrounding bubbles and generate a much stronger pressure pulse than that of a single bubble [52][53][54]. Different ambient flow fields could significantly alter the dynamic characteristics of bubble clusters [55,56].…”

Section: Introductionmentioning

confidence: 99%

Theoretical study on bubble dynamics under hybrid-boundary and multi-bubble conditions using the unified equation

Zhang,

Li,

Cui

et al. 2023

Sci. China Phys. Mech. Astron.

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This paper aims to use the unified bubble dynamics equation to investigate bubble behavior in complex scenarios involving hybrid free surface/wall boundaries and interactions between multiple bubbles. The effect of singularity movement on the unified equation’s form is analyzed after deriving the bubble pulsation equation using a moving point source and a dipole, followed by discussions on the effect of migration compressibility-related terms on the bubble dynamics. In addition, the present study accounts for the impact of hybrid boundaries, including crossed and parallel boundaries, by introducing a finite number of mirror bubbles for the former and an infinite number of mirror bubbles for the latter. Spark bubble experiments and numerical simulation are conducted to validate the present theory. The application of the unified equation in multi-bubble interactions is exemplified by computing a spherical bubble array containing more than 100 uniformly distributed cavitation bubbles under different boundary conditions. The bubble cluster-induced pressure peak can reach nearly two times or even higher than that of an individual bubble, highlighting the damage potential caused by cavitation bubble clusters.

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Ship Propeller Rotation Threshold to Prevent Erosion and Sedimentation in Coastal Waters

Kadir,

Istadi,

Subagio

et al. 2024

J. Marine. Sci. Appl.

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Interactions between a central bubble and a surrounding bubble cluster

Cited by 16 publications

References 39 publications

Vertically neutral collapse of a pulsating bubble at the corner of a free surface and a rigid wall

Vertically neutral collapse of a pulsating bubble at the corner of a free surface and a rigid wall

Theoretical study on bubble dynamics under hybrid-boundary and multi-bubble conditions using the unified equation

Ship Propeller Rotation Threshold to Prevent Erosion and Sedimentation in Coastal Waters

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