IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v185y2017ip2p973-984.html
   My bibliography  Save this article

Two-scale model for quantifying the effects of laminar and turbulent mixing on algal growth in loop photobioreactors

Author

Listed:
  • Shariff, Shoaib
  • Chakraborty, Saikat

Abstract

This paper quantifies the mixing effects on algal growth in loop photobioreactors using two-scale low-dimensional models derived through spatial averaging of the Convection–Diffusion–Reaction equation using Liapunov–Schmidt technique of the classical bifurcation theory. The local mixing in the reactor is captured in terms of the mixing time and the difference between the mixing-cup and the spatially averaged concentrations of the algae, which are representatives of the convection scale in the fluid phase and the reaction scale at the algal surface, respectively. We solve coupled unsteady-state low-dimensional partial differential equations (PDEs) to simulate the temporal dynamics of the algae (Chlorella vulgaris), carbon dioxide and oxygen along the reactor in laminar and turbulent mixing regimes. Analytical solutions are derived for the unsteady and pseudo-steady state cases in the turbulent regime. We show that while laminar mixing results in significant scale separation between the convection and reaction scales, turbulent mixing – propelled by the turbulent diffusivity – eliminates all scale separation and mass transfer limitations in the photobioreactor and maximizes algal growth. Increasing Reynolds number (Re) increases the dimensionless mixing time (and thus, the scale separation) in the laminar regime but has negligible effect on turbulent mixing. Thus, the system transitions from the mixing-limited asymptote in the laminar regime to the reaction-limited asymptote in the turbulent regime. For maximum algal growth per unit energy cost, we recommend operating loop photobioreactors at a low Re (>2300) in the turbulent flow regime so as to generate turbulent mixing for rapid mass transfer of the growth substrates and the algae between the convection (fluid) and the reaction (solid) phases, at optimal pressure drops. Our two-scale model would be an important design tool for quantifying mixing effects while scaling up photobioreactors.

Suggested Citation

  • Shariff, Shoaib & Chakraborty, Saikat, 2017. "Two-scale model for quantifying the effects of laminar and turbulent mixing on algal growth in loop photobioreactors," Applied Energy, Elsevier, vol. 185(P2), pages 973-984.
  • Handle: RePEc:eee:appene:v:185:y:2017:i:p2:p:973-984
    DOI: 10.1016/j.apenergy.2015.12.033
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261915016062
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.apenergy.2015.12.033?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Singh, S.P. & Singh, Priyanka, 2015. "Effect of temperature and light on the growth of algae species: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 50(C), pages 431-444.
    2. Yan, Cheng & Zheng, Zheng, 2014. "Performance of mixed LED light wavelengths on biogas upgrade and biogas fluid removal by microalga Chlorella sp," Applied Energy, Elsevier, vol. 113(C), pages 1008-1014.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Shubhanvit Mishra & Yi-Ju Liu & Chi-Shuo Chen & Da-Jeng Yao, 2021. "An Easily Accessible Microfluidic Chip for High-Throughput Microalgae Screening for Biofuel Production," Energies, MDPI, vol. 14(7), pages 1-10, March.
    2. Beata Brzychczyk & Tomasz Hebda & Norbert Pedryc, 2020. "The Influence of Artificial Lighting Systems on the Cultivation of Algae: The Example of Chlorella vulgaris," Energies, MDPI, vol. 13(22), pages 1-14, November.
    3. Su, Yujie & Song, Kaihui & Zhang, Peidong & Su, Yuqing & Cheng, Jing & Chen, Xiao, 2017. "Progress of microalgae biofuel’s commercialization," Renewable and Sustainable Energy Reviews, Elsevier, vol. 74(C), pages 402-411.
    4. Najeeha Mohd Apandi & Mimi Suliza Muhamad & Radin Maya Saphira Radin Mohamed & Norshuhaila Mohamed Sunar & Adel Al-Gheethi & Paran Gani & Fahmi A. Rahman, 2021. "Optimizing of Microalgae Scenedesmus sp. Biomass Production in Wet Market Wastewater Using Response Surface Methodology," Sustainability, MDPI, vol. 13(4), pages 1-19, February.
    5. El Shenawy, E.A. & Elkelawy, Medhat & Bastawissi, Hagar Alm-Eldin & Taha, Mohammed & Panchal, Hitesh & Sadasivuni, Kishor kumar & Thakar, Nishant, 2020. "Effect of cultivation parameters and heat management on the algae species growth conditions and biomass production in a continuous feedstock photobioreactor," Renewable Energy, Elsevier, vol. 148(C), pages 807-815.
    6. Vindel, José M. & Trincado, Estrella, 2021. "Viability assessment of algal wastewater treatment projects under outdoor conditions based on algal productivity and nutrient removal rate," Renewable and Sustainable Energy Reviews, Elsevier, vol. 150(C).
    7. Debnath, Chandrani & Bandyopadhyay, Tarun Kanti & Bhunia, Biswanath & Mishra, Umesh & Narayanasamy, Selvaraju & Muthuraj, Muthusivaramapandian, 2021. "Microalgae: Sustainable resource of carbohydrates in third-generation biofuel production," Renewable and Sustainable Energy Reviews, Elsevier, vol. 150(C).
    8. Jose M. Vindel & Estrella Trincado & Antonio Sánchez-Bayón, 2021. "European Union Green Deal and the Opportunity Cost of Wastewater Treatment Projects," Energies, MDPI, vol. 14(7), pages 1-18, April.
    9. Ma, Shiyan & Huang, Yun & Zhu, Xianqing & Xia, Ao & Zhu, Xun & Liao, Qiang, 2024. "Growth-based dynamic light transmission modeling and optimization in microalgal photobioreactors for high efficiency CO2 fixation," Renewable and Sustainable Energy Reviews, Elsevier, vol. 197(C).
    10. Peter, Angela Paul & Koyande, Apurav Krishna & Chew, Kit Wayne & Ho, Shih-Hsin & Chen, Wei-Hsin & Chang, Jo-Shu & Krishnamoorthy, Rambabu & Banat, Fawzi & Show, Pau Loke, 2022. "Continuous cultivation of microalgae in photobioreactors as a source of renewable energy: Current status and future challenges," Renewable and Sustainable Energy Reviews, Elsevier, vol. 154(C).
    11. Sun, Qie & Li, Hailong & Yan, Jinying & Liu, Longcheng & Yu, Zhixin & Yu, Xinhai, 2015. "Selection of appropriate biogas upgrading technology-a review of biogas cleaning, upgrading and utilisation," Renewable and Sustainable Energy Reviews, Elsevier, vol. 51(C), pages 521-532.
    12. Monika Hejna & Dominika Kapuścińska & Anna Aksmann, 2022. "Pharmaceuticals in the Aquatic Environment: A Review on Eco-Toxicology and the Remediation Potential of Algae," IJERPH, MDPI, vol. 19(13), pages 1-40, June.
    13. Yan, Cheng & Zhu, Liandong & Wang, Yanxin, 2016. "Photosynthetic CO2 uptake by microalgae for biogas upgrading and simultaneously biogas slurry decontamination by using of microalgae photobioreactor under various light wavelengths, light intensities,," Applied Energy, Elsevier, vol. 178(C), pages 9-18.
    14. Enamala, Manoj Kumar & Enamala, Swapnika & Chavali, Murthy & Donepudi, Jagadish & Yadavalli, Rajasri & Kolapalli, Bhulakshmi & Aradhyula, Tirumala Vasu & Velpuri, Jeevitha & Kuppam, Chandrasekhar, 2018. "Production of biofuels from microalgae - A review on cultivation, harvesting, lipid extraction, and numerous applications of microalgae," Renewable and Sustainable Energy Reviews, Elsevier, vol. 94(C), pages 49-68.
    15. Tomasz Bochenski & Tanmay Chaturvedi & Mette Hedegaard Thomsen & Jens Ejbye Schmidt, 2019. "Evaluation of Marine Synechococcus for an Algal Biorefinery in Arid Regions," Energies, MDPI, vol. 12(12), pages 1-13, June.
    16. Beata Brzychczyk & Jan Giełżecki & Krzysztof Kijanowski & Tomasz Hebda & Filip Rzepka, 2023. "Automation of the Photobioreactor Lighting System to Manage Light Distribution in Microalgae Cultures," Energies, MDPI, vol. 16(20), pages 1-20, October.
    17. Pires, José C.M., 2017. "COP21: The algae opportunity?," Renewable and Sustainable Energy Reviews, Elsevier, vol. 79(C), pages 867-877.
    18. Sedlar, D. Karasalihović & Vulin, D. & Krajačić, G. & Jukić, L., 2019. "Offshore gas production infrastructure reutilisation for blue energy production," Renewable and Sustainable Energy Reviews, Elsevier, vol. 108(C), pages 159-174.
    19. Pengfei Guo & Yuejin Zhang & Yongjun Zhao, 2018. "Biocapture of CO 2 by Different Microalgal-Based Technologies for Biogas Upgrading and Simultaneous Biogas Slurry Purification under Various Light Intensities and Photoperiods," IJERPH, MDPI, vol. 15(3), pages 1-18, March.
    20. Kirkow, Velizar & Wang, Hao & Garcia, Pablo Venegas & Ahmed, Shohel & Heggerud, Christopher M., 2022. "Impacts of a changing environment on a stoichiometric producer-grazer system: a stochastic modelling approach," Ecological Modelling, Elsevier, vol. 469(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:appene:v:185:y:2017:i:p2:p:973-984. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.