Numerical analysis of the effects of air on light distribution in a bubble column photobioreactor
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Light scattering by gas bubbles becomes insignificant for the light intensity distribution as soon as the biomass concentration increases to concentrations relevant for industrial production.
“However, this becomes insignificant for the light intensity distribution as soon as the biomass concentration increases to concentrations being relevant for industrial production [18].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [18]
One can mainly distinguish between two approaches for light transfer modeling: one-dimensional model equations and the Radiative Transfer Equation (RTE).
“One can mainly distinguish between two approaches: firstly, one-dimensional model equations which enable quick and simple estimates of the light intensity with respect to the distance from the light source [23,24,31,36,39,41,43,125] and secondly, the Radiative Transfer Equation (RTE) [18,26-28,34], whose solution requires the application of numerical methods.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [18]
The purpose of the listed models covers a variety of applications, including mechanistic understanding, investigations on flashing-light effect, design optimization, and optimization of operating conditions.
“The purpose of the listed models covers a variety of applications, including the mechanistic understanding of photobioreactors [17-21], investigations on the flashing-light effect [22-31], photobioreactor design optimization [21,22,29,32-42] and optimization of operating conditions [26,34-36,43-45].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [18]
Some researchers selected solving the full RTE numerically in one or more dimensions.
“Instead of using simplified or analytical models, some researchers selected the second approach, which is solving the full RTE numerically in one or more dimensions [18,21,26-28,34].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [18]
The literature includes models for two-phase gas-liquid flows, solid-liquid flows, or three-phase gas-solid-liquid flows.
“The literature includes models for two-phase gasliquid flows [17-19,25,39-42,44,45,125,135], solid-liquid flows [21,23,24,34,36-38,126] or three-phase gas-solid-liquid flows [19,26-31,136].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [18]
The majority of gas-liquid flows in photobioreactor CFD models are modeled in the Eulerian-Eulerian formulation, as two interpenetrating continua.
“According to Table 1, the majority of gas-liquid flows is modeled in the EulerianEulerian formulation [18,25-27,29-31,39-42,45,125,135,136], thus, as two interpenetrating continua.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [18]
While most researchers neglect the spectral nature of light, some authors did consider it.
“While most researchers neglect the spectral nature of light, some authors did consider it [18,26,39].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [18]
The most commonly used drag models for gas-liquid flows in photobioreactor models are the Schiller-Naumann, Grace, Ishii-Zuber and Tomiyama models.
“According to Table 2, the most commonly used drag models for gas-liquid flows are the Schiller-Naumann [17,25,27,29], Grace [45,135], Ishii-Zuber [18,19,26,136] and Tomiyama models [30,31,125]”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [18]
For simulation of light transfer in microalgae cultures, the Henyey-Greenstein phase function is frequently applied.
“For the simulation of light transfer in microalgae cultures the Henyey-Greenstein phase function is frequently applied [18,26,78,84,188,201].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [18]
Bubbles in the suspension are not considered because their influence on the light supply is negligible as shown in previous experimental and numerical works.
“Bubbles in the suspension are not considered here, since the influence on the light supply is negligible as shown in previous experimental and numerical works [47,48].”
From Comprehensive Computational Model for Coupled Fluid Flow, Mass Transfer, and Light Supply in Tubular Photobioreactors Equipped with Glass Sponges (2022) · cites this paper as [47]
Scattering must be analyzed within thin suspensions to avoid multiple scattering events that would blur the analysis of one single scattering event.
“Moreover, the scattering must be analyzed within thin suspensions to avoid multiple scattering events that would blur the analysis of one single scattering event [45-47].”
From Comprehensive Computational Model for Coupled Fluid Flow, Mass Transfer, and Light Supply in Tubular Photobioreactors Equipped with Glass Sponges (2022) · cites this paper as [47]
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A new hybrid photobioreactor design for microalgae culture
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“[18] L, G Ishii-Zuber Clift LegendreMagnaudet constant Frank FavreAveraged -”
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Airlift photobioreactors applied to algal production
Aslanbay Guler, B., Yarkent, Ç., Oncel, S. S., & Imamoglu, E. (2025) · Algal Bioreactors · doi:10.1016/b978-0-443-14058-7.00018-x · Cited by 3 · see citing works
- Authors
- McHardy, C., Luzi, G., Lindenberger, C., Agudo, J. R., Delgado, A., & Rauh, C.
- Affiliations
- Technische Universität Berlin (DE)
- Friedrich-Alexander-Universität Erlangen-Nürnberg (DE)
- Corresponding author
- McHardy, Christopher
- Venue
- Algal Research
- Publisher
- Elsevier BV
- Published
- 2018-04
- Volume
- 31
- Pages
- 311-325
- ISSN
- 2211-9264 (ISSN-L)
- OpenAlex
- W2790687121
- Cited by
- 25
- References
- 70
- Citations by year
- 2026: 2 · 2025: 5 · 2024: 2 · 2023: 1 · 2022: 4 · 2021: 2 · 2020: 4 · 2019: 4 · 2018: 1
- FWCI
- 1.10
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Algal Research (publishedVersion)
- Funders
- Bundesministerium für Bildung und Forschung (03SF0457)
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Fluid Dynamics and Mixing
- Physical Sciences › Energy › Renewable Energy, Sustainability and the Environment › Algal biology and biofuel production
- Life Sciences › Agricultural and Biological Sciences › Plant Science › Greenhouse Technology and Climate Control
- Keywords
- photobioreactors, bubble column, light distribution, light propagation, gas bubbles, air volume fraction, superficial gas velocity, optical absorption, light scattering, phase function, polychromatic light, algal growth, hydrodynamics
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