1999
DOI: 10.1017/s0022112099006692
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On the breakup of an air bubble injected into a fully developed turbulent flow. Part 2. Size PDF of the resulting daughter bubbles

Abstract: Based on energy principies, we propose a statistical model to describe the bubble size probability density function of the daughter bubbles resulting from the shattering of a mother bubble of size Do immersed in a fully developed turbulent water flow. The model shows that the bubble size p.d.f. depends not only on Do, but also on the valué of the dissipation rate of turbulent kinetic energy of the underlying turbulenee of the water, e. The phenomenological model is simple, yet it prediets detailed experimental… Show more

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Cited by 211 publications
(152 citation statements)
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References 19 publications
(40 reference statements)
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“…Hinze [26] used the definition that 95% of the air is contained in bubbles with a diameter less than dc and the calculated turbulent energy dissipation rate ε for Deane's [18] data was much smaller. Garrett et al [24] used the results of Martínez-Bazán et al [30,31] and established a one-to-one relationship between the local dissipation rate and bubble size. …”
Section: Bottom Turbulent Dissipation Ratementioning
confidence: 99%
“…Hinze [26] used the definition that 95% of the air is contained in bubbles with a diameter less than dc and the calculated turbulent energy dissipation rate ε for Deane's [18] data was much smaller. Garrett et al [24] used the results of Martínez-Bazán et al [30,31] and established a one-to-one relationship between the local dissipation rate and bubble size. …”
Section: Bottom Turbulent Dissipation Ratementioning
confidence: 99%
“…Many of the fundamental physical processes assumed to take place in cavitating flows are incorporated into the model. These include bubble formation through homogeneous nucleation, momentum exchange between the bubbly and the carrier liquid phase, bubble growth and collapse due to non-linear dynamics according to the early study of [31], bubble turbulent dispersion as proposed by [32] and bubble turbulent/hydrodynamic break-up, based on the experimental observations of [33]. The effect of bubble coalescence and bubble-to-bubble interaction on the momentum exchange and during bubble growth/collapse is also considered.…”
Section: Lagrangian Cavitation Bubbles Sub-modelsmentioning
confidence: 99%
“…Some of the models assume a uniform or a truncated normal distribution which is centered at the half of the bubble/droplet size. In other words these models are based on the assumption of equal-sized breakage [2,26,47]. In contrast, some others presume unequal breakup which means a bubble/droplet breaking into a large and a smaller one [2,31,45].…”
Section: Introductionmentioning
confidence: 99%
“…In other words these models are based on the assumption of equal-sized breakage [2,26,47]. In contrast, some others presume unequal breakup which means a bubble/droplet breaking into a large and a smaller one [2,31,45]. The developed model by [27] is able to combine the features of these significantly different breakage closures.…”
Section: Introductionmentioning
confidence: 99%