Study of Bubble Formation Under Constant Flow Conditions

Jamialahmadi, M.; Zehtaban, M.R.; Müller‐Steinhagen, Hans; Sarrafi, Amir; Smith, J. M.

doi:10.1205/02638760152424299

Cited by 168 publications

(115 citation statements)

References 24 publications

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“…13:95 the computed bubble volume is the leading bubble volume of each pair represented by the dashed line. The numerical calculations of bubble volume reveal good quantitative agreement with the analytical correlation given by Jamialahmadi et al 22 The present results show a qualitatively similar trend to the results obtained by Oguz Figure 4, the present numerical simulations were not carried out beyond We > 24:81 or ðWe=We cr Þ 1=2 ! 2, the reason being that the coalesced bubble formed in period-2 with pairing and coalescence breaks up, leading to toroidal bubble formation (not shown here) for the nitrogen-LBE system.…”

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

confidence: 91%

“…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. The discrepancy found in the bubble volume in LBE between the predicted result and the studies of Jamialahmadi et al 22 and Gaddis and Vogelpohl 38 is due to the spherical bubble assumption in the latter models.…”

Section: Grid Independence Test and Validationmentioning

confidence: 89%

“…In most of the theoretical models 17,18,22,32,33,38 developed by these workers, the effect of the previously formed bubble on the growth of the bubble at the orifice were not taken into account, although Zhang and Shoji, 21 Chuang and Goldschmidt, 39 and Deshpande et al 40 developed models by taking into account the wake effect of the previous bubble or bubble coalescence. Depending on the operating parameters (gas flow rate, orifice diameter, surface wetting characteristics, and physical properties of the liquid phase), different regimes [19][20][21]23,26,27,41 are discerned as period-1, period-2 with pairing or double coalescence (see below), period-3 (triple coalescence), period-4 (quadruple coalescence), and finally chaotic bubbling regimes.…”

Section: Introductionmentioning

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 Flosupporting

confidence: 91%

Section: Grid Independence Test and Validationmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

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Bubble formation and dynamics in a quiescent high‐density liquid

et al. 2015

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“…In this way the bubble dynamics can be scrutinised and the influence of well controlled parameters understood unambiguously. This being the case, there has been a great deal of experimental work done with regard to adiabatic gas injected bubble growth dynamics [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. Some work has been performed on mathematically predicting adiabatic bubble formation and include the use of the boundary integral method [17][18][19][20][21], the Lattice-Boltzmann method [22] and numerical integration of the capillary equation [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Experimental study of gas injected bubble growth from submerged orifices

Bari

Robinson

2013

Experimental Thermal and Fluid Science

128

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a b s t r a c tThis work investigates the mechanism of adiabatic gas bubble growth from submerged orifices with the view of elucidating the interdependence of the bubble shape and the pressure field during growth and departure. Air injection flow rates between 10 mlph and 100 mlph have been tested for orifices of diameters 0.58 mm, 1.05 mm and 1.6 mm. The force field around single isolated bubbles during growth and detachment has been investigated experimentally with the aid of high speed photography and detailed image processing and measurement of the internal bubble pressure. Different flow rates have been compared in order to elucidate dynamic effects. Combining measurements of the instantaneous gas pressure, measurements of the local curvature and the Young-Laplace equation has allowed the estimation of the liquid pressure field acting on the gas-liquid interface over the entire bubble surface. These have subsequently been decomposed into constitutive components such as buoyancy, contact pressure, capillary and the dynamic pressure forces.

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“…With this configuration and the operating conditions applied, no bubble coalescence has been observed. The study of the bubble formation when some gas flows through a submerged rigid orifice has been carried out both experimental (Jamialahmadi et al 2001) and theoretically (Das and Das, 2009;Gerlach et al 2007). The generalized expression given in those works for the bubble volume calculation has been used here to estimate the Sauter's bubble radius needed for the mathematical unstationary model.…”

Section: -Experimental Apparatus and Materialsmentioning

confidence: 99%

Unstationary Film Model for the Determination of Absolute Gas-Liquid Kinetic Rate Constants: Ozonation of Acid Red 27, Acid Orange 7, and Acid Blue 129

Ferre-Aracil

Cardona

López

et al. 2013

Ozone: Science & Engineering

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A method for the determination of absolute kinetic rate constants is proposed using an unstationary film model. This methodology avoids the experimental determination of parameters like the enhancement factor or the Hatta number which are usually model-dependent. The mathematical model is general for gasliquid systems with irreversible second order reactions. An optimization procedure based on artificial neural networks is used to estimate the initial guess of the parameters and the subsequent application of Gauss-Newton algorithm for the final non-linear parameter estimation. The model is tested with the ozonation reaction of Acid Red 27, Acid Orange 7 and Acid Blue 129. The second order kinetic rate constant for the direct reaction with O 3 are 1615 ± 93, 609 ± 83 and 49 ± 2 M -1 s -1 respectively.

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Study of Bubble Formation Under Constant Flow Conditions

Cited by 168 publications

References 24 publications

Bubble formation and dynamics in a quiescent high‐density liquid

Bubble formation and dynamics in a quiescent high‐density liquid

Experimental study of gas injected bubble growth from submerged orifices

Unstationary Film Model for the Determination of Absolute Gas-Liquid Kinetic Rate Constants: Ozonation of Acid Red 27, Acid Orange 7, and Acid Blue 129

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