A coupled level-set and volume-of-fluid method for the buoyant rise of gas bubbles in liquids

Chakraborty, Indrajit; Biswas, Gautam; Ghoshdastidar, P. S.

doi:10.1016/j.ijheatmasstransfer.2012.11.027

Cited by 112 publications

(56 citation statements)

References 69 publications

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“…This kind of interaction and coalescence between two buoyancy-driven bubbles (leading and trailing bubbles) has already been discussed in the experimental studies of Bhaga and Weber 81 and Katz and Meneveau 82 and the numerical studies of Chakraborty et al, 76 Yuan and Prosperetti, 83 and others. Studies of two coaxial drop coalescence were reported by Manga and Stone 84 for the buoyancy-driven motion case.…”

Section: Regimes Of Low Intermediate and High Weber Numbers (Gas Flomentioning

confidence: 64%

“…During our computations, the time step was chosen as Dt ¼ 10 26 s to satisfy the CourantFriedrichs-Lewy (CFL) and capillary time step conditions. 76 The computed volume of a dimensional detached bubble for this case is V b ¼ 2:2585 3 10 28 m 3 . The calculated detached bubble volumes from the analytical correlations given by Jamialahmadi et al 22 22,38 resulting in errors of about 6:17% and 10:38 % relative to the analytical correlations of Jamialahmadi et al 22 and Gaddis and Vogelpohl, 38 respectively.…”

Section: Grid Independence Test and Validationmentioning

confidence: 96%

“…During the computations, time steps are chosen to satisfy CFL, capillary, viscous and gravitational time conditions (discussed in Section 2.3 in Ref. 76). The details of the numerical method have been described by Chakraborty et al 76 …”

Section: Rementioning

confidence: 99%

“…The results in Figures 7-9a show that the leading bubble becomes almost flattened (mostly oblate shape) whereas the trailing bubble becomes elongated (prolate shape), as observed and discussed elsewhere. 21,23,35,56,76 This prolate shape occurs due to the flow induced by the leading bubble. It can be seen that when the trailing bubble enters to the wake of the leading bubble, the drag force on the trailing bubble decreases rapidly.…”

Section: Regimes Of Low Intermediate and High Weber Numbers (Gas Flomentioning

confidence: 99%

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Bubble formation and dynamics in a quiescent high‐density liquid

et al. 2015

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Gas bubble formation from a submerged orifice under constant-flow conditions in a quiescent high-density liquid metal, lead-bismuth eutectic (LBE), at high Reynolds numbers was investigated numerically. The numerical simulation was carried out using a coupled level-set and volume-of-fluid method governed by axisymmetric Navier-Stokes equations. The ratio of liquid density to gas density for the system of interest was about 15,261. The bubble formation regimes varied from quasi-static to inertia-dominated and the different bubbling regimes such as period-1 and period-2 with pairing and coalescence were described. The volume of the detached bubble was evaluated for various Weber numbers, We, at a given Bond number, Bo, with Reynolds number Re ) 1. It was found that at high values of the Weber number, the computed detached bubble volumes approached a 3/5 power law. The different bubbling regimes were identified quantitatively from the time evolution of the growing bubble volume at the orifice. It was shown that the growing volume of two consecutive bubbles in the period-2 bubbling regime was not the same whereas it was the same for the period-1 bubbling regime. The influence of grid resolution on the transition from period-1 to period-2 with pairing and coalescence bubbling regimes was investigated. It was observed that the transition is extremely sensitive to the grid size. The transition of period-1 and period-2 with pairing and coalescence is shown on a Weber-Bond numbers map. The critical value of Weber number signalling the transition from period-1 to period-2 with pairing and coalescence decreases with Bond number as We $ Bo 21 , which is shown to be consistent with the scaling arguments. Furthermore, comparisons of the dynamics of bubble formation and bubble coalescence in LBE and water systems are discussed. It was found that in a high Reynolds number bubble formation regime, a difference exists in the transition from period-1 to period-2 with pairing and coalescence between the bubbles formed in water and the bubbles formed in LBE. V C 2015 American Institute of Chemical Engineers AIChE J, 61: 3996-4012, 2015

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Section: Regimes Of Low Intermediate and High Weber Numbers (Gas Flomentioning

confidence: 64%

Section: Grid Independence Test and Validationmentioning

confidence: 96%

Section: Rementioning

confidence: 99%

Section: Regimes Of Low Intermediate and High Weber Numbers (Gas Flomentioning

confidence: 99%

See 2 more Smart Citations

Bubble formation and dynamics in a quiescent high‐density liquid

et al. 2015

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“…The method of numerical simulation of bubble motion has been well developed [6][7][8][9][10][11]. In order to describe the movement characteristics of the bubbles in the corrugated tube intuitively, it is convenient to study it with the simulation method.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Bubble Free Rise after Sudden Contraction Using the Front-Tracking Method

Zhang

Fan

et al. 2017

International Journal of Photoenergy

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Based on the front-tracking method (FTM), the movement of a single bubble that rose freely in a transverse ridged tube was simulated to analyze the influence of a contractive channel on the movement of bubbles. The influence of a symmetric contractive channel on the shape, speed, and trajectory of the bubbles was analyzed by contrasting the movement with bubbles in a noncontractive channel. As the research indicates, the bubbles became more flat when they move close to the contractive section of the channel, and the bubbles become less flat when passing through the contractive section. This effect becomes more obvious with an increase in the contractive degree of the channel. The symmetric contractive channel can make the bubbles first decelerate and later accelerate, and this effect is deeply affected by Reynolds number (Re) and Eötvös number (Eo).

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Mechanism of bubble formation in step‐emulsification devices

Zhu

et al. 2019

AIChE Journal

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Step-emulsification device is an emerging technology for bubble generation, which is convenient for numbering-up. However, the mechanism of bubble formation in such devices remains unclear. In this article, the mechanism of bubble formation in stepemulsification devices is investigated by using a high-speed camera. First, the evolution of gas-liquid interface with time during bubble formation is observed. Second, the variation of characteristic parameters of bubbles, such as bubble's volume V B and generation frequency f, with gas and liquid flow rates is described under various liquid viscosities and step widths. Meanwhile, the coupling law of interface evolution with characteristic parameters of bubbles is explored. Finally, the basic guideline for generation of monodispersed bubbles in step-emulsification is put forward: low liquid viscosity. Connecting the interface evolution with the characteristic parameters, predictive models for bubble's volume, and generation frequency in step-emulsification are proposed, respectively.

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A coupled level-set and volume-of-fluid method for the buoyant rise of gas bubbles in liquids

Cited by 112 publications

References 69 publications

Bubble formation and dynamics in a quiescent high‐density liquid

Bubble formation and dynamics in a quiescent high‐density liquid

Numerical Simulation of Bubble Free Rise after Sudden Contraction Using the Front-Tracking Method

Mechanism of bubble formation in step‐emulsification devices

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