Influence of the viscosity ratio on drop dynamics and breakup for a drop rising in an immiscible low-viscosity liquid

Ohta, Mitsuhiro; Akama, Yu; Yoshida, Yutaka; Sussman, Mark

doi:10.1017/jfm.2014.339

Cited by 13 publications

(8 citation statements)

References 42 publications

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“…To avoid complications associated with the modeling of multiple daughter particle fragmentation, binary breakage is commonly assumed in literature since an overwhelming majority of experiments have supported this type of breakage . The breakage of mother particles into multiple daughter fragments has been reported by some investigators, but only a few have attempted to model multiple breakup . Tcholakova et al pointed out that the discrepancy between the experimental results and some basic model functions is due to the multiple fragmentation of drops, while the basic theoretical models usually assume binary breakage.…”

Section: Breakup Modeling—literature Reviewmentioning

confidence: 99%

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Theoretical model for multiple breakup of fluid particles in turbulent flow field

Razzaghi

2016

AIChE Journal

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Generalized phenomenological model, based on the theories of probability and isotropic turbulence, is developed for multiple breakup of fluid particles in turbulent flow field. The approach uses a series of successive binary breakup events occur at a time scale comparable to the colliding eddy turnover time. It was found that the use of energy density, instead of energy, will increase the predicted binary breakup rate which is usually underestimated by the existing models in the literature. Generalization of the binary breakup model for multiple fragmentations is performed by defining a “remaining energy function” for the colliding eddy which means the contribution of original eddy to the later breakup events. For ternary breakage, the model shows a reasonably good agreement with the experimental data. The quaternary fragmentation frequency, however, is of negligible importance at lower energy dissipation rates but its contribution to breakage fraction at higher energy dissipation rates becomes considerable. The results also show that ternary and quaternary breakups have a considerable 90% contribution to the overall fragmentation, while pentenary and further fragmentations are of lower importance at low energy dissipation rates. At higher levels of energy dissipation rate, fragmentations up to six daughter particles contribute to more than 95% of the overall fragmentations. © 2016 American Institute of Chemical Engineers AIChE J, 62: 4508–4525, 2016

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Section: Breakup Modeling—literature Reviewmentioning

confidence: 99%

“…In the modeling of fluid particle breakage, the simplification of binary breakage is frequently used in the literature. However, some experimental data support multiple particle breakup . It is commonly believed that more than one mechanism for particle breakage may exist in turbulent dispersions .…”

Section: Model Developmentmentioning

confidence: 99%

Theoretical model for multiple breakup of fluid particles in turbulent flow field

Razzaghi

2016

AIChE Journal

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“…Refs. [14][15][16][17][18]) focused on individual regimes of bubble behaviour by considering limited sets of parameters. Particularly, we find several papers focusing on the axisymmetric and zigzagging/spiralling regions, and/or the boundary separating these two.…”

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confidence: 99%

Shapes and paths of an air bubble rising in quiescent liquids

et al. 2017

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Shapes and paths of an air bubble rising inside a liquid are investigated experimentally. About three hundred experiments are conducted in order to generate a phase plot in the Galilei and Eötvös numbers plane, which separates distinct regimes in terms of bubble behaviour. A wide range of the Galilei and Eötvös numbers are obtained by using aqueous glycerol solutions of different concentrations as the surrounding fluid, and by varying the bubble size. The dynamics is investigated in terms of shapes, topological changes and trajectories of the bubbles. Direct numerical simulations are conducted to study the bubble dynamics, which show excellent agreement with the experiments. To the best of our knowledge, this is the first time an experimentally obtained phase plot showing the distinct behaviour of an air bubble rising in a quiescent medium is reported for such a large range of Galilei and Eötvös numbers.

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“…Among the various intriguing phenomena they observed is the well-known cascade of falling plumes, which often occur during the descent of heavy drops [2][3][4]. Similar Rayleigh-Taylor-type instabilities also arise for heavy suspension droplets [2,5,6].…”

Section: Introductionmentioning

confidence: 94%

Vortex-induced buckling of a viscous drop impacting a pool

Beilharz

Thoroddsen

2017

Phys. Rev. Fluids

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CitationLi EQ, Beilharz D, Thoroddsen ST (2017) We study the intricate buckling patterns which can form when a viscous drop impacts a much lower viscosity miscible pool. The drop enters the pool by its impact inertia, flattens, and sinks by its own weight while stretching into a hemispheric bowl. Upward motion along the outer bottom surface of this bowl produces a vortical boundary layer which separates along its top and rolls up into a vortex ring. The vorticity is therefore produced in a fundamentally different way than for a drop impacting a pool of the same liquid. The vortex ring subsequently advects into the bowl, thereby stretching the drop liquid into ever thinner sheets, reaching the micron level. The rotating motion around the vortex pulls in folds to form multiple windings of double-walled toroidal viscous sheets. The axisymmetric velocity field thereby stretches the drop liquid into progressively finer sheets, which are susceptible to both axial and azimuthal compression-induced buckling. The azimuthal buckling of the sheets tends to occur on the inner side of the vortex ring, while their folds can be stretched and straightened on the outside edge. We characterize the total stretching from high-speed video imaging and use particle image velocimetry to track the formation and evolution of the vortex ring. The total interfacial area between the drop and the pool liquid can grow over 40-fold during the first 50 ms after impact. Increasing pool viscosity shows entrapment of a large bubble on top of the drop, while lowering the drop viscosity produces intricate buckled shapes, appearing at the earliest stage and being promoted by the crater motions. We also present an image collage of the most intriguing and convoluted structures observed. Finally, a simple point-vortex model reproduces some features from the experiments and shows variable stretching along the wrapping sheets.

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Influence of the viscosity ratio on drop dynamics and breakup for a drop rising in an immiscible low-viscosity liquid

Cited by 13 publications

References 42 publications

Theoretical model for multiple breakup of fluid particles in turbulent flow field

Theoretical model for multiple breakup of fluid particles in turbulent flow field

Shapes and paths of an air bubble rising in quiescent liquids

Vortex-induced buckling of a viscous drop impacting a pool

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