Drag Coefficients of Single Bubbles under Normal and Micro Gravity Conditions
Open accessAbstract
Simple but reliable correlations for a drag coefficient, CD, of single bubbles under a wide range of fluid properties, bubble diameter and acceleration of gravity were developed based on a balance of forces acting on a bubble in a stagnant liquid and available empirical correlations of terminal rising velocities of single bubbles. The proposed CD consists of three equations, each of which corresponds to pure, slightly contaminated and contaminated systems. The effect of a frictional pressure gradient due to a liquid flow is also taken into account by introducing a concept of an effective body acceleration. Terminal rising velocities of single bubbles were calculated using the proposed CD, and compared with measured data under the condition of 10-2<Eo<103, 10-14<M<107 and 10-3<Re<105 where Eo, M and Re are Eotvos, Morton and bubble Reynolds numbers, respectively. As a result, it was confirmed that the proposed CD gives better predictions than available drag coefficient models.
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Tomiyama and Zun [257] proposed three different correlations for the drag force coefficient for pure, slightly contaminated, and contaminated gas-liquid systems, using a simple balance of forces acting on a bubble and several correlations for the terminal rising velocity.
“Tomiyama and Zun [257] proposed three different correlations for the drag force coefficient for pure, slightly contaminated, and contaminated gas-liquid systems, using a simple balance of forces acting on a bubble and several correlations for the terminal rising velocity.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [257]
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- Authors
- TOMIYAMA, A., KATAOKA, I., ZUN, I., & SAKAGUCHI, T.
- Venue
- JSME International Journal Series B
- Published
- 1998
- Volume
- 41
- Issue
- 2
- Pages
- 472-479
- ISSN
- 1340-8054 (ISSN-L)
- 1347-5371
- OpenAlex
- W2048161847
- Cited by
- 742
- References
- 4
- Citations by year
- 2026: 71 · 2025: 64 · 2024: 69 · 2023: 57 · 2022: 53 · 2021: 67 · 2020: 56 · 2019: 52 · 2018: 51 · 2017: 43 · 2016: 40 · 2015: 15 · 2014: 16 · 2013: 11 · 2012: 6
- FWCI
- 0.99
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- JSME International Journal Series B (publishedVersion)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Heat Transfer
- Physical Sciences › Environmental Science › Water Science and Technology › Minerals Flotation and Separation Techniques
- Physical Sciences › Engineering › Biomedical Engineering › Fluid Dynamics and Mixing
- Keywords
- bubble drag coefficient, single bubble, microgravity, stagnant liquid, frictional pressure gradient, Bond number, Morton number, bubble Reynolds number, empirical correlations
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