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Mathematical and Numerical Modeling of Microalgae Growth


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DOI: https://doi.org/10.15866/ireme.v13i1.16493

Abstract


This work concerns the mathematical and numerical modeling of microalgae growth in a photobioreactor. The model used is based on the one developed by Okpokwasili and Nweke in 2005, which is used to describe the influence of nutrients on the growth rate of microalgae. Okpokwasili and Nweke proposed two expressions to calculate the growth rate influenced by several limiting factors. In this work, a material balance and an energy equation are associated with the above-mentioned model in order to describe the change in concentration of algal biomass, nitrogen, phosphorus and inorganic carbon in the culture medium, assuming that the temperature and light intensity are constant. The Runge-Kutta method is used to solve the system of energy and mass equations. The presented model can be used for the simulation and the prediction of algal biomass growth over time. A simulation has been made by experimental data completed by data from literature for the two expressions of the growth rate; the results of the simulation are in agreement with the ones of experience.
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Keywords


Growth; Microalgae; Photobioreactor; Mathematical Model; Runge-Kutta

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