Bouncing and Coalescence of Bubble Pairs Rising at High Reynolds Number in Pure Water or Aqueous Surfactant Solutions

Duineveld, Paul C.

doi:10.1007/978-94-011-4986-0_21

Cited by 51 publications

(65 citation statements)

References 31 publications

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“…For the inertia dominated drainage, the transition expressed in terms of Weber number based on the terminal velocity occurs for We ∞ = 5.6. This value should be compared with We ∞ = 3.3 found by Duineveld for total inhibition of bubble coalescence in pure water [19], bearing in mind that inhibition of coalescence occurs Table 2 Summary of experimental data for minimum superficial velocity for onset of foaming reported in the literature [11] over a range of Weber numbers and depends on the liquid properties. Moreover, it is interesting to note that the void fraction for onset of foaming α m obtained for large characteristic time ratio t d /t c (i.e.…”

Section: Experimental Datamentioning

confidence: 85%

“…In pure water, Duineveld [19] [19,21,22]. Similarly, a single bubble reaching a free interface can either merge with the interface almost instantaneously (for small approaching velocities) or bounce back one or several times before stabilizing at the free interface to finally burst (for large approaching velocities).…”

Section: Physical Phenomenamentioning

confidence: 99%

“…Collisions between two bubbles may lead either to the coalescence due to the rupture of the film or to bouncing and separation of the bubbles [19]. The coalescence rate of bubbles depends on the frequency of collision and on the probability that bubbles coalesce upon collision.…”

Section: Physical Phenomenamentioning

confidence: 99%

“…The Weber number is commonly used in the studies of bubble coalescence [11,19,21] and represents the ratio of the inertial forces to the surface tension forces [19]:…”

Section: Physical Phenomenamentioning

confidence: 99%

“…In the present work, r is assumed to be the average bubble radius at the liquid free surface, thus accounting for eventual bubble growth due to pressure change and coalescence taking place between the injection system and the liquid surface. Then, V is taken as the terminal velocity v ∞ of a single bubble of average size rising in an infinite medium as suggested by Duineveld [19]. It can be interpreted as the relative velocity between the center of a rising bubble and that of a bubble at rest at the liquid free surface.…”

Section: Physical Phenomenamentioning

confidence: 99%

See 4 more Smart Citations

Minimum superficial gas velocity for onset of foaming

Pilon

Viskanta

2004

Chemical Engineering and Processing: Process Intensification

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This paper is concerned with semi-batch foams generated by injecting gas bubbles in a vertical column containing a liquid phase at rest. Its aim is to better understand the physical mechanisms responsible for foam formation at the liquid free surface and to predict the superficial gas velocity for onset of foaming. The model for predicting the onset of foaming is derived from the one-dimensional drift-flux model for gravity driven flow in the absence of wall shear. The analysis is based on experimental data reported in the literature and covers a wide range of physico-chemical properties, bubble sizes and shapes, and flow regimes. It identifies the inhibition of coalescence between rising bubbles and bubbles at rest at the free surface as a key mechanism responsible for the onset of foaming. A semi-empirical correlation for high viscosity fluids has been developed and good agreement with experimental data is found.

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Section: Experimental Datamentioning

confidence: 85%

Section: Physical Phenomenamentioning

confidence: 99%

Section: Physical Phenomenamentioning

confidence: 99%

“…The Weber number is commonly used in the studies of bubble coalescence [11,19,21] and represents the ratio of the inertial forces to the surface tension forces [19]:…”

Section: Physical Phenomenamentioning

confidence: 99%

Section: Physical Phenomenamentioning

confidence: 99%

See 3 more Smart Citations

Minimum superficial gas velocity for onset of foaming

Pilon

Viskanta

2004

Chemical Engineering and Processing: Process Intensification

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Three‐dimensional numerical simulation of coalescence and interactions of multiple horizontal bubbles rising in shear‐thinning fluids

et al. 2015

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International audienceThe dynamics of multiple horizontal bubbles rising from different orifice arrangements in shear-thinning fluids was simulated numerically by three-dimensional Volume of Fluid method. The effects of bubble size, rheological properties of shear-thinning fluids, and orifice structure arrangements on multiple bubbles interaction and coalescence were analyzed, and the mechanisms of bubble coalescence and breakup were fully discussed and elucidated. The variation of bubble rising velocity during coalescence process and freely rising processes for different orifice arrangements was also deeply investigated. The critical initial horizontal intervals for coalescence of multiple horizontal bubbles with various orifice arrangements were attained by simulation, which could serve as the critical criterion of bubble coalescence or noncoalescence. Furthermore, the critical bubble interval was predicted based on the film drainage model, the prediction accords well with the simulation result and is quite conducive for the design and optimization of perforated gas-liquid contact equipment

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On the role of the macroscopic deformation in liquid film drainage between bubbles

Song

Zhang

et al. 2023

AIChE Journal

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The collision of bubbles in multiphase reactors is critical to bubble size distribution. However, the theoretical models that can reasonably predict collision outcomes and the experimental data that can be used to directly verify the models are still very lacking. We studied the collision of two bubbles in clean water through experiments and theoretical modeling, revealing the mechanism that the collision result shifts from coalescence to rebound with increasing collision velocity. The macroscopic deformation (MacrD) of bubbles is associated with the film drainage via a segmented linear equation as a function of the film radius and initial Weber number. Thus, the current model can reflect the effect of MacrD in a self‐consistent way. The coalescence times and critical coalescence velocities predicted by the model were in good agreement with the experiments. This work provides novel insights into bubble coalescence modeling and serves to improve the accuracy of reactor simulations.

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Bouncing and Coalescence of Bubble Pairs Rising at High Reynolds Number in Pure Water or Aqueous Surfactant Solutions

Cited by 51 publications

References 31 publications

Minimum superficial gas velocity for onset of foaming

Minimum superficial gas velocity for onset of foaming

Three‐dimensional numerical simulation of coalescence and interactions of multiple horizontal bubbles rising in shear‐thinning fluids

On the role of the macroscopic deformation in liquid film drainage between bubbles

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