A new 3-D multi-fluid model with the application in bubble dynamics using the adaptive mesh refinement

Tian, Zhao-Li; Zhang, A‐Man; Liu, Yunlong; Tao, Longbin

doi:10.1016/j.oceaneng.2021.108989

Cited by 22 publications

(10 citation statements)

References 43 publications

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“…2019; Tian et al. 2021), with the multi-medium interface treated by the volume-of-fluid (VOF) method: In the above equations, , , p , and e are the fluid density, velocity, pressure, viscosity and specific internal energy, respectively, is the identity matrix, is the energy dissipation function describing the effects of viscous stresses, and is the fluid volume fraction. The subscript represents the quantity of fluid component i and a bar above indicates the average quantity of the mixture.…”

Section: Methodsmentioning

confidence: 99%

“…For 3-D simulation, the adaptive mesh refinement technique is introduced to balance the efficiency and accuracy. The method has been validated intensively with bubble dynamics experiments in previous publications (Liu et al 2019;Tian et al 2021), which also provide a detailed description of the numerical implementation.…”

Section: Numericalmentioning

confidence: 99%

“…The mathematical model assumes a constant gas content of the bubble, neglecting the vapour content, evaporation and condensation at the bubble interface, gas diffusion and heat conduction through the bubble wall, and surface tension. Under these assumptions, the fluid flow can be modelled with the following equations (Liu et al 2019;Tian et al 2021), with the multi-medium interface treated by the volume-of-fluid (VOF) method:…”

Section: Numericalmentioning

confidence: 99%

“…Other 3-D configurations that have been investigated include the case of a pair of buoyant bubbles oscillating in an unbounded liquid (Tian et al. 2021) and a pair of bubbles collapsing near a free surface (Wang et al. 2020 a ; Liu et al.…”

Section: Introductionmentioning

confidence: 99%

“…More recent studies have focused on the jetting behaviour of a bubble collapsing near two perpendicular rigid walls (Brujan et al 2018;Tagawa & Peters 2018), in acute-or obtuse-angled corners (Cui et al 2020;Wang et al 2020b), inside squared and triangular channels (Molefe & Peters 2019) and near the corner of a rigid wall and a free surface (Zhang et al 2017;Li et al 2019). Other 3-D configurations that have been investigated include the case of a pair of buoyant bubbles oscillating in an unbounded liquid (Tian et al 2021) and a pair of bubbles collapsing near a free surface (Wang et al 2020a;Liu et al 2021). These studies provide valuable insight into the interaction between cavitation bubbles and rigid structures.…”

Section: Introductionmentioning

confidence: 99%

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Jetting and migration of a laser-induced cavitation bubble in a rectangular channel

Brujan

Zhang²,

Liu³

et al. 2022

J. Fluid Mech.

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The jetting behaviour and migratory characteristics of a laser-induced cavitation bubble in a rectangular channel are investigated both experimentally and numerically, for various combinations of the geometric and physical parameters of the system. High-speed photography is used to visualize the temporal development of the bubble shape, the formation of liquid jets during bubble collapse, and the bubble displacement in contact with the sidewalls of the channel during two oscillation cycles of the bubble. The bubble profiles, pressure contours and velocity vectors ambient to the bubble are obtained through numerical simulation results by using an Eulerian finite element method with a compressible liquid impact model. The jetting behaviour of the bubble varies between single jet formation and the formation of three liquid jets directed towards each wall of the channel. The numerical calculations indicate that the liquid jets directed towards the sidewalls of the channel reach maximum velocities of 100 m s−1 while the peak velocity of the liquid jet directed towards the channel endwall is about 55 m s−1. A small bubble generated close to a sidewall of the channel develops only a single inclined jet during collapse. Such jets can reach velocities of up to 110 m s−1. A bubble displacement in contact with the sidewalls of the channels of 350 μm was observed during the first two oscillation cycles for a bubble with a maximum diameter slightly smaller than the height of the channel. The results of our investigations are compared to previous results obtained in similar configurations.

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