Mathematical Modeling of Temperature Effect on Algal Growth for Biodiesel Application

  • S. M. Zakir Hossain
  • Nader Al-Bastaki
  • Abdulla Mohamed A. Alnoaimi
  • Husny Ezuber
  • Shaikh A. Razzak
  • Mohammad M. Hossain
Part of the Innovative Renewable Energy book series (INREE)


Microalgae biomass is promising feedstock for the industrial production of biodiesel. Hence, research and development are needed in several domains especially optimizations of growth conditions including temperature effect for mass scale operation (biomass production, harvesting, lipid extraction, etc.). Since in Middle East region, seasonal temperature variation as well as more rapid daily fluctuations are liable to modify the growth conditions of microalgae in outdoor culture and hence affect production efficiency. Therefore, in this study, a mathematical model was developed to calculate how the algae sp. (Chlorella kessleri) will react at different temperatures. The model integrates Monod model and Arrhenius equation, and as such it describes the relationship of algal growth rate with culturing temperature and limiting nutrient concentration. The apparent activation energy and pre-exponential factors were calculated to be 2537 cal/mol and 0.0077 day−1, respectively. The developed models could be useful to visualize the effective impacts of temperature on outdoor algae culture.


Microalgae Temperature Specific growth rate Mathematical model Biodiesel 



The author would like to gratefully acknowledge the support provided by King Abdulaziz City for Science and Technology (KACST) through the Science & Technology Unit at King Fahd University of Petroleum & Minerals (KFUPM) for funding this work through project No. NSTIP # 13-WAT096-04 as part of the National Science, Technology and Innovation Plan.


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • S. M. Zakir Hossain
    • 1
  • Nader Al-Bastaki
    • 2
  • Abdulla Mohamed A. Alnoaimi
    • 1
  • Husny Ezuber
    • 1
  • Shaikh A. Razzak
    • 3
  • Mohammad M. Hossain
    • 3
  1. 1.Department of Chemical EngineeringUniversity of BahrainZallaqKingdom of Bahrain
  2. 2.Academic Affairs and Scientific ResearchKingdom UniversityRiffaKingdom of Bahrain
  3. 3.Department of Chemical EngineeringKing Fahd University of Petroleum & MineralsDhahranSaudi Arabia

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