Breakage and coalescence models for drops in turbulent dispersions
Abstract
Abstract A substantial effort has been made by numerous investigators to describe droplet breakage and coalescence in turbulent dispersions. An attempt is made here to improve these models based on existing frameworks and recent advances described in the literature. Two‐step mechanisms are considered for both the breakage and coalescence models. The drop breakage function is structured as the product of the drop‐eddy collision frequency and breakage efficiency which reflect the energetics of turbulent liquid‐liquid dispersions. The coalescence function retains the former structure of the product of drop‐drop collision frequency and coalescence efficiency. The coalescence efficiency model has been modified to account for the effects of film drainage for drops with partially mobile interfaces. These models overcome several inconsistencies observed in previous efforts and are applicable for dense dispersions (about ϕ[0.10–0.30]). For the daughter drops produced by breakage, a probability density is proposed based on the energy requirements for the formation of daughter drops.
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The daughter drop size distribution in the Tsouris and Tavlarides model should be bimodal with a higher probability density at the ends rather than in the center since the energy requirement for the breakage of a drop into two drops of equal size is larger than the one needed for the breakage into a small and a large drop.
“The daughter drop size distribution should be bimodal with a higher probability density at the ends rather than in the center since the energy requirement for the breakage of a drop into two drops of equal size is larger than the one needed for the breakage into a small and a large drop.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [275]
Tsouris and Tavlarides [275] assume the same form as the model of Prince and Blanch [273], with eddy-drop collision frequency based on assumptions that isotropic turbulence holds, the drop size is in the inertial sub-range, and only eddies whose size is equal to or smaller than the drop size can cause breakage.
“The model of Tsouris and Tavlarides [275] assumes the same form as the one of Prince and Blanch [273]. The eddy-drop collision frequency is based on the assumptions that the isotropic turbulence holds, the drop size is in the inertial sub-range, and only eddies whose size is equal to or smaller than the drop size can cause the breakage of the drops.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [275]
Tsouris and Tavlarides [275] assume that eddies and drops behave like ideal gas molecules and collision phenomena can be modeled utilizing the kinetic theory of gases, and that the energy required for the breakage of a drop is proportional to the energy needed to create a new surface.
“The main idea underlying the eddy-drop collision frequency is that eddies and drops behave like ideal gas molecules and collision phenomena can be modeled utilizing the kinetic theory of gases. Besides, it is assumed that the energy required for the breakage of a drop is proportional to the energy needed to create a new surface.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [275]
In Tsouris and Tavlarides [275], coalescence occurs if the contact time is large enough so that the liquid film between two drops drains until a critical thickness is reached.
“Coalescence occurs if the contact time is large enough so that the liquid film between two drops drains until a critical thickness is reached.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [275]
Tsouris and Tavlarides [275] proposed a modification of the Coulaloglou and Tavlarides model [244].
“Tsouris and Tavlarides [275] proposed a modification of the Coulaloglou and Tavlarides model [244].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [275]
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- Authors
- Tsouris, C., & Tavlarides, L. L.
- Affiliations
- Syracuse University (US)
- Corresponding author
- Tavlarides, L. L.
- Venue
- AIChE Journal
- Publisher
- Wiley
- Published
- 1994-03
- Volume
- 40
- Issue
- 3
- Pages
- 395-406
- ISSN
- 0001-1541 (ISSN-L)
- 1547-5905
- OpenAlex
- W2150301534
- Cited by
- 544
- References
- 41
- Citations by year
- 2026: 11 · 2025: 16 · 2024: 21 · 2023: 16 · 2022: 17 · 2021: 20 · 2020: 22 · 2019: 27 · 2018: 11 · 2017: 26 · 2016: 22 · 2015: 22 · 2014: 18 · 2013: 28 · 2012: 13
- FWCI
- 6.33
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- AIChE Journal (publishedVersion)
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Fluid Dynamics and Mixing
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Heat Transfer
- Physical Sciences › Engineering › Biomedical Engineering › Innovative Microfluidic and Catalytic Techniques Innovation
- Keywords
- droplet breakup, droplet coalescence, turbulent dispersion, liquid-liquid dispersions, coalescence efficiency, film drainage
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