On the analysis of bubble growth and detachment at low Capillary and Bond numbers using Volume of Fluid and Level Set methods

Albadawi, A.; Donoghue, D.B.; Robinson, A.J.; Murray, Darina B.; Delauré, Yan

doi:10.1016/j.ces.2012.12.004

Cited by 78 publications

(34 citation statements)

References 50 publications

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“…The boundary of the bubble was then detected by means of bubble isolation. According to the authors (Albadawi et al, 2013b), this isolation method results in an uncertainty in detecting the bubble boundary of ±one pixel, which corresponds to a value of ±0.0134 mm.…”

Section: Problem Definitionmentioning

confidence: 99%

“…At this point it should be mentioned that initial trial simulations verified that imposing angles lower than 20°does not influence significantly the bubble detachment characteristics, and the interface between the two phases remains attached to the orifice during the entire process of the bubble growth. Here the value of 20°was selected in order for the interface to stay pinned at the orifice as observed in the proposed experiments (Albadawi et al, 2013b). The initial conditions that are used for the considered numerical validation case, imitating the corresponding experimental conditions are summarised in Table 1 (Case 1).…”

Section: Computational Setupmentioning

confidence: 99%

“…In order to validate the numerical model, initially the experiments on quasi-static bubble growth and detachment reported in the recent work of Albadawi et al (2013b) were selected amongst others as ''Validation Case 1'', since many necessary information for their numerical reproduction are reported by the authors. In more detail, the formation of air bubbles at an orifice in a stagnant water domain is considered.…”

Section: Problem Definitionmentioning

confidence: 99%

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Numerical investigation of quasi-static bubble growth and detachment from submerged orifices in isothermal liquid pools: The effect of varying fluid properties and gravity levels

Georgoulas

Koukouvinis

Gavaises

et al. 2015

International Journal of Multiphase Flow

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The present investigation, identifies the exact quantitative effects of fundamental parameters, on the detachment characteristics of isolated bubbles, emanating quasi-statically from submerged orifices into isothermal liquid pools. For this purpose, a Volume of Fluid (VOF) based interface capturing approach is further improved, for the conduction of axisymmetric and 3D numerical experiments on adiabatic bubble growth dynamics. The predictions of the model, are quantitatively validated against literature available experimental data, showing excellent agreement. Two series of numerical experiments are performed, quantitatively exploring the parametric effects of the liquid phase properties in five different gravity levels, and the effect of the gravity vector direction inclination angle, respectively. It is found that the bubble detachment characteristics, are more sensitive in the variation of the surface tension, liquid phase density and gravity, while the effect of liquid phase dynamic viscosity is generally minimal. From dimensionless analysis, two correlations are derived, which for the examined range of Eötvos numbers, are able to predict the equivalent bubble detachment diameter and the bubble detachment time, respectively. It is also found that the bubble detachment characteristics, reduce significantly as the gravity vector direction gradually deviates from being parallel to the bubble injection orifice, following a non-linear decrease

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Section: Problem Definitionmentioning

confidence: 99%

Section: Computational Setupmentioning

confidence: 99%

Section: Problem Definitionmentioning

confidence: 99%

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Numerical investigation of quasi-static bubble growth and detachment from submerged orifices in isothermal liquid pools: The effect of varying fluid properties and gravity levels

Georgoulas

Koukouvinis

Gavaises

et al. 2015

International Journal of Multiphase Flow

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“…The period-1 dripping regime with or without satellite drop formation, [43][44][45][46] period-1 to complex dripping [47][48][49] (period doubling bifurcations, chaos, and hysteresis) to jetting, [48][49][50] and the transitions among different regimes have been discussed in detail. [47][48][49][50][51] In addition to the experimental and theoretical investigations, numerical simulations of bubble formation processes have been carried out using the boundary integral method (BIM), [32][33][34][35]52 volume-of-fluid method, 53 level-set method, 54 coupled level-set and volume-of-fluid (CLSVOF) method, [55][56][57][58][59][60] and front tracking method. 61 Oguz and Prosperetti, 32 Higuera and Medina, 35 and Gordillo et al 52 studied the bubble formation process from an orifice in a quiescent inviscous liquid at high Reynolds numbers by means of the potential flow approximation.…”

Section: Introductionmentioning

confidence: 99%

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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“…16 A simple VOF coupled with level set (LS) method (S-CLSVOF) for improving surface tension was proposed and tested compared to a standard VOF solver and experimental observations. 17,18 A three-dimensional (3D) code was developed, 19 where interface tracking was performed by a LS method, and the ghost fluid method was used to capture sharp discontinuities accurately; the LS and VOF methods were coupled to ensure mass conservation. 20 Arnaud et al 21 did a simulation of the jet breakup in biphasic conditions; results reveal that in the range of investigated Reynolds and Ohnesorge numbers, the classical criteria used to distinguish the different modes of jet breakup at atmospheric pressure seems to be valid for the highpressure environment.…”

Section: Introductionmentioning

confidence: 99%

Investigation on spatial breakup characteristics of low-pressure jets with particle image velocimetry experiment and volume of fluid–level set simulation

Jiang

Xiang

et al. 2016

Advances in Mechanical Engineering

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In order to study the spatial breakup characteristics of the initial section of low-pressure jets, an experiment was performed to investigate the flow fields and concentration fields of jet flows with different nozzle geometric parameters and also the different working pressures using a particle image velocimetry system. The flow field of different axial planes, axial time-average velocity, and the length of the initial sections of jet flows were also analyzed. A numerical simulation was carried out using finite volume method and volume of fluid-level set method to describe the breaking process of the initial section, capturing unstable development of gas-fluid interface, measuring the length of the initial sections of jet flows. Both experiment and simulation results show that the broken degree of jet is more intense for nozzles with smaller aspect ratio; the outlet velocity of jet increases with the working pressure; and the value of u=u m decreases with the increase in pressures in the same cross section of jet flow. The experimental values are slightly higher than the simulation values with an error of \8% for the cross-sectional velocity distribution. The initial length of jet increases with pressures, where the experimental values are lower than the simulation values with an error of \5%. The experimental data from particle image velocimetry agreed well with the simulation results. Therefore, the accuracy and reliability of the particle image velocimetry experiment and the computational fluid dynamics result simulation were both validated. KeywordsNozzle, low-pressure jet, particle image velocimetry technique, volume of fluid-level set method, initial section, aspect ratio Date

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On the analysis of bubble growth and detachment at low Capillary and Bond numbers using Volume of Fluid and Level Set methods

Cited by 78 publications

References 50 publications

Numerical investigation of quasi-static bubble growth and detachment from submerged orifices in isothermal liquid pools: The effect of varying fluid properties and gravity levels

Numerical investigation of quasi-static bubble growth and detachment from submerged orifices in isothermal liquid pools: The effect of varying fluid properties and gravity levels

Bubble formation and dynamics in a quiescent high‐density liquid

Investigation on spatial breakup characteristics of low-pressure jets with particle image velocimetry experiment and volume of fluid–level set simulation

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