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Modeling and Simulation of Microalgae Growth in a Couette-Taylor Bioreactor

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Book cover High Performance Computing in Science and Engineering (HPCSE 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11087))

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Abstract

Despite the fact that biotechnology with microalgae is attracting a lot of research interest since 1950s, a reliable computational tool for simulation of microalgal bioreactors is still lacking. In this work, a unified multidisciplinary modeling framework for microalgae culture systems is presented. Our framework consists of the model of microalgae growth in form of advection-diffusion-reaction system within a phenomenological model of photosynthesis and photoinhibition. The fluid dynamics is described by the Navier-Stokes equations and the irradiance field inside a reactor closes the equation system. The main achievement resides in successful integration of computational fluid dynamics code ANSYS Fluent and reaction kinetics, which makes our approach reliable and simple to implement. As a case study, the simulation of microalgae growth in a Couette-Taylor bioreactor is presented. The bioreactor operation leads to hydrodynamically induced fluctuating light conditions and the flashing light enhancement phenomenon, known from experiments. The presented model thus exhibits features of a real system.

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References

  1. Alvarez-Vázquez, L., Fernández, F.: Optimal control of bioreactor. Appl. Math. Comput. 216, 2559–2575 (2010)

    MathSciNet  MATH  Google Scholar 

  2. Beek, W.J., Muttzall, K.M.K., van Heuven, J.W.: Transport Phenomena. Wiley, Hoboken (2000)

    Google Scholar 

  3. Bernard, O., Mairet, F., Chachuat, B.: Modelling of microalgae culture systems with applications to control and optimization. Adv. Biochem. Eng. Biotechnol. 153, 59–87 (2016)

    Google Scholar 

  4. Bernardi, A., Perin, G., Sforza, E., Galvanin, F., Morosinotto, T., Bezzo, F.: An identifiable state model to describe light intensity influence on microalgae growth. Ind. Eng. Chem. Res. 53, 6738–6749 (2014)

    Article  Google Scholar 

  5. Cornet, J.-F., Dussap, C.G., Gros, J.-B., Binois, C., Lasseur, C.: A simplified monodimensional approach for modeling coupling between radiant light transfer and growth kinetics in photobioreactors. Chem. Eng. Sci. 50, 1489–1500 (1995)

    Article  Google Scholar 

  6. Čelikovský, S., Papáček, Š., Cervantes-Herrera, A., Ruiz-León, J.: Singular perturbation based solution to optimal microalgal growth problem and its infinite time horizon analysis. IEEE Trans. Autom. Control 55, 767–772 (2010)

    Article  MathSciNet  Google Scholar 

  7. Chisti, Y.: Biodiesel from microalgae. Biotechnol. Adv. 25, 294–306 (2007)

    Article  Google Scholar 

  8. Davis, E.A.: Turbulence. In: Burlew, J.S. (ed.) Algal Culture from Laboratory to Pilot Plant, vol. 600, pp. 135–138. Carnegie Institute, Washington, D.C. (1953)

    Google Scholar 

  9. Eilers, P.H.C., Peeters, J.C.H.: A model for the relationship between light intensity and the rate of photosynthesis in phytoplankton. Ecol. Model. 42, 199–215 (1988)

    Article  Google Scholar 

  10. ANSYS Fluent product documentation. http://www.ansys.com/

  11. Kok, B.: Experiments on photosynthesis by Chlorella in flashing light. In: Burlew, J.S. (ed.) Algal Culture From Laboratory to Pilot Plant. Publ. no. 600, pp. 63–75. The Carnegie Institute, Washington, D.C. (1953)

    Google Scholar 

  12. Nedbal, L., Tichý, V., Xiong, F., Grobbelaar, J.U.: Microscopic green algae and cyanobacteria in high-frequency intermittent light. J. Appl. Phycol. 8, 325–333 (1996)

    Article  Google Scholar 

  13. Ooms, M.D., Dinh, C.T., Sargent, E.H., Sinton, D.: Photon management for augmented photosynthesis. Nat. Commun. 7, 12699 (2016). https://doi.org/10.1038/ncomms12699

    Article  Google Scholar 

  14. Papáček, Š., Čelikovský, S., Štys, D., Ruiz-León, J.: Bilinear system as modelling framework for analysis of microalgal growth. Kybernetika 43, 1–20 (2007)

    MathSciNet  MATH  Google Scholar 

  15. Papáček, Š., Stumbauer, V., Štys, D., Petera, K., Matonoha, C.: Growth impact of hydrodynamic dispersion in a Couette-Taylor bioreactor. Math. Comput. Model. 54(7–8), 1791–1795 (2011)

    Article  Google Scholar 

  16. Papáček, Š., Matonoha, C., Štumbauer, V., Štys, D.: Modelling and simulation of photosynthetic microorganism growth: random walk vs. finite difference method. Math. Comput. Simul. 82(10), 2022–2032 (2012)

    Article  MathSciNet  Google Scholar 

  17. Papacek, S., Jablonsky, J., Petera, K.: Advanced integration of fluid dynamics and photosynthetic reaction kinetics for microalgae culture systems (2017, submitted)

    Google Scholar 

  18. Rehák, B., Čelikovský, S., Papáček, Š.: Model for photosynthesis and photoinhibition: parameter identification based on the harmonic irradiation \(O_2\) response measurement. In: Joint Special Issue of TAC IEEE and TCAS, 101–108. IEEE (2008)

    Article  Google Scholar 

  19. Richmond, A.: Biological principles of mass cultivation. In: Richmond, A. (ed.) Handbook of Microalgal Culture: Biotechnology and Applied Phycology, pp. 125–177. Blackwell Publishing, Hoboken (2004)

    Google Scholar 

  20. Taylor, G.I.: Stability of a viscous liquid containing between two rotating cylinders. Phil. Trans. R. Soc. A223, 289–343 (1923)

    Article  Google Scholar 

  21. Terry, K.L.: Photosynthesis in modulated light: quantitative dependence of photosynthetic enhancement on flashing rate. Biotechnol. Bioeng. 28, 988–995 (1986)

    Article  Google Scholar 

  22. Wu, X., Merchuk, J.C.: A model integrating fluid dynamics in photosynthesis and photoinhibition processes. Chem. Eng. Sci. 56(11), 3527–3538 (2001)

    Article  Google Scholar 

  23. Wu, X., Merchuk, J.C.: Simulation of algae growth in a bench-scale bubble column reactor. Biotechnol. Bioeng. 80, 156–168 (2002)

    Article  Google Scholar 

  24. Celik, I., Ghia, U., Roache, P., Freitas, C., Coleman, H., Raad, P.: J. Fluids Eng. 130 (2008)

    Google Scholar 

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Acknowledgment

This work was supported by the Ministry of Education, Youth and Sports of the Czech Republic - projects “CENAKVA” (No. CZ.1.05/2.1.00/01.0024), “CENAKVA II” (No. LO1205 under the NPU I program) and The CENAKVA Centre Development (No. CZ.1.05/2.1.00/19.0380) and by the long-term strategic development financing of the Institute of Computer Science (RVO: 67985807).

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Authors and Affiliations

  1. Institute of Complex Systems, South Bohemian Research Center of Aquaculture and Biodiversity of Hydrocenoses, Faculty of Fisheries and Protection of Waters, University of South Bohemia in České Budějovice, Zámek 136, 373 33, Nové Hrady, Czech Republic

    Štěpán Papáček

  2. Institute of Computer Science, The Czech Academy of Sciences, Pod Vodárenskou věží 2, 182 07, Prague 8, Czech Republic

    Ctirad Matonoha

  3. Faculty of Mechanical Engineering, Czech Technical University in Prague, Technická 4, 166 07, Prague 6, Czech Republic

    Karel Petera

Authors
  1. Štěpán Papáček
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  2. Ctirad Matonoha
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  3. Karel Petera
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Corresponding author

Correspondence to Ctirad Matonoha .

Editor information

Editors and Affiliations

  1. VSB - Technical University of Ostrava, Ostrava-Poruba, Czech Republic

    Tomáš Kozubek

  2. VSB - Technical University of Ostrava, Ostrava-Poruba, Czech Republic

    Martin Čermák

  3. Charles University in Prague, Prague, Czech Republic

    Petr Tichý

  4. Institute of Geonics of the CAS, Ostrava-Poruba, Czech Republic

    Radim Blaheta

  5. University of Manchester, Manchester, United Kingdom

    Jakub Šístek

  6. VSB - Technical University of Ostrava, Ostrava-Poruba, Czech Republic

    Dalibor Lukáš

  7. Brno University of Technology, Brno, Czech Republic

    Jiří Jaroš

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Papáček, Š., Matonoha, C., Petera, K. (2018). Modeling and Simulation of Microalgae Growth in a Couette-Taylor Bioreactor. In: Kozubek, T., et al. High Performance Computing in Science and Engineering. HPCSE 2017. Lecture Notes in Computer Science(), vol 11087. Springer, Cham. https://doi.org/10.1007/978-3-319-97136-0_13

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  • DOI: https://doi.org/10.1007/978-3-319-97136-0_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-97135-3

  • Online ISBN: 978-3-319-97136-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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