A simple computational model for bubble plumes

Bernard, Robert S.; Maier, Robert S.; Falvey, Henry T.

doi:10.1016/s0307-904x(99)00030-x

Cited by 18 publications

(12 citation statements)

References 31 publications

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“…Zheng et al [2003] and Chen and Yapa [2003] also introduced an integrated model to simulate the phase changes of methane and its impact on the hydrodynamics of the jet/plume. Numerical modeling of bubble plumes [e.g., Bernard et al, 2000;Bravo et al, 2007;Buscaglia et al, 2002;Davidson, 1990;Mudde and Simonin, 1999;Smith, 1998] has been extensively studied and most of these models focused on the overall flow behavior (e.g., velocity, gas void fraction) of the plume. In these models, the bubble formation processes such as bubble breakup and coalescence are often ignored by assuming uniform bubble size distribution with a median or critical bubble diameter.…”

Section: Introductionmentioning

confidence: 99%

Evolution of bubble size distribution from gas blowout in shallow water

et al. 2016

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Gas is often emanated from the sea bed during a subsea oil and gas blowout. The size of a gas bubble changes due to gas dissolution in the ambient water and expansion as a result of a decrease in water pressure during the rise. It is important to understand the fate and transport of gas bubbles for the purpose of environmental and safety concerns. In this paper, we used the numerical model, VDROP‐J to simulate gas formation in jet/plume upon release, and dissolution and expansion while bubble rising during a relatively shallow subsea gas blowout. The model predictions were an excellent match to the experimental data. Then a gas dissolution and expansion module was included in the VDROP‐J model to predict the fate and transport of methane bubbles rising due to a blowout through a 0.10 m vertical orifice. The numerical results indicated that gas bubbles would increase the mixing energy in released jets, especially at small distances and large distances from the orifice. This means that models that predict the bubble size distribution (BSD) should account for this additional mixing energy. It was also found that only bubbles of certain sizes would reach the water surfaces; small bubbles dissolve fast in the water column, while the size of the large bubbles decreases. This resulted in a BSD that was bimodal near the orifice, and then became unimodal.

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Section: Introductionmentioning

confidence: 99%

Evolution of bubble size distribution from gas blowout in shallow water

et al. 2016

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“…The gas volumes accumulating in our gas traps suggested that up to 516,000 bubbles m 22 d 21 were released at our study site by ebullition, which corresponds to , 810 L m 22 d 21 of fluid pumped from the sediment surface into the turbulent layer, where this-likely nutrient enriched-fluid is dispersed by turbulence, currents, and ascending bubbles. The details of the solute dispersion by the bubbles rising though the water column are beyond the scope of this study, and interested readers are referred to the studies of Milgram 1983;Fannelop et al 1991;Asaeda and Imberger 1993;Smith 1998;Bernard et al 2000;Chen and Cardoso 2000;and Gong et al 2010.…”

Section: Mechanisms Of Flux Enhancement-studies By O'hara Etmentioning

confidence: 99%

Ebullition‐enhanced solute transport in coarse‐grained sediments

Cheng

Huettel

Wildman

2014

Limnology & Oceanography

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Pore-water exchange caused by ebullition of small oxygen bubbles produced by microalgae in the surface layer of sand sediment at St. Joseph Bay (SJB), Gulf of Mexico, was contrasted with ebullition of larger methane bubbles generated by archaea in deeper layers of sub-littoral sands at Hel Peninsula (HEL), Baltic Sea. At SJB, ebullition of O 2 -enriched bubbles in August 2011 averaged 225 6 132 mL m 22 d 21 , and at a mean bubble diameter of 1.0 6 0.3 mm, up to 516,000 bubbles m 22 d 21 were released from the upper 10 mm of sediment. Ebullition of CH 4 -enriched bubbles at HEL reached 907 6 278 mL m 22 d 21 in August 2003, with bubbles of 10-20 mm diameter ascending from . 100 mm sediment depth at a rate of up to 210 bubbles m 22 d 21 . In situ chamber experiments showed that ebullition of 12 mm diameter bubbles from 80 mm sediment depth at a rate of , 5 mL min 21 (254 L m 22 d 21 ) enhanced interfacial fluid flux , three-fold compared to chambers with no ebullition. In contrast, release of 2 mm diameter bubbles from 3 mm sediment depth at a lower rate of , 1 mL min 21 increased interfacial flux about 21-fold in laboratory tests, revealing that frequent ebullition of small bubbles released near the sediment surface enhances sediment-water fluid flux more effectively than ebullition of larger bubbles ascending from deeper sediment depths at low frequency. Particle image velocimetry showed that bubble ebullition effectively entrained pore fluid into the turbulent boundary layer, thereby enhancing benthic pelagic coupling.

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“…In parallel to these works, Woo et al [10] developed empirical formulas for α based on experimental measurements and obtained better numerical results than in [5] and [6]. Single-phase modeling for bubbles columns was also applied for chemical applications by Bernard et al [11]. The authors applied a formula similar to [7], except that they included a height correction factor to take into account the volumetric expansion of the rising gas bubbles.…”

Section: Introductionmentioning

confidence: 99%

Revisiting the single-phase flow model for liquid steel ladle stirred by gas

Alia

John

Ollila

2019

Applied Mathematical Modelling

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Ladle stirring is an important step of the steelmaking process to homogenize the temperature and the chemical composition of the liquid steel and to remove inclusions before casting. Gas is injected from the bottom of the bath to induce a turbulent flow of the liquid steel. Multiphase modeling of ladle stirring can become computationally expensive, especially when used within optimal flow control problems. This paper focuses therefore on single-phase flow models. It aims at improving the existing models from the literature. Simulations in a 2d axial-symmetrical configuration, as well as, in a real 3d laboratory-scale ladle, are performed. The results obtained with the present model are in a relative good agreement with experimental data and suggest that it can be used as an efficient model in optimal flow control problems.

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A simple computational model for bubble plumes

Cited by 18 publications

References 31 publications

Evolution of bubble size distribution from gas blowout in shallow water

Evolution of bubble size distribution from gas blowout in shallow water

Ebullition‐enhanced solute transport in coarse‐grained sediments

Revisiting the single-phase flow model for liquid steel ladle stirred by gas

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