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New numerical simulation of the oscillatory phenomena occurring in the bioethanol production process

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Abstract

The process of bioethanol production has been characterized with a structured and nonsegregated form of yeast growth dynamics. In this work, a geometric numerical method is applied to obtain the approximate solution of the oscillatory phenomena transpiring in the process of bioethanol production. This method is called group preserving scheme which is based on Lie group, proper for solving ordinary differential equations. In this regard, The Minkowski Cayley transformation is used to create this numerical method to get the approximate solutions of the problems. Moreover, figures are provided to show the reliability and accuracy of the proposed method.

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Abbreviations

G:

glucose

E:

ethanol

0:

oxygen

X :

biomass

C:

intracellular carbohydrate

e 1 :

enzyme catalysing reaction R

e 2 :

enzyme catalysing reaction R2

e 3 :

enzyme catalysing reaction R

R 1 :

fermentation of glucose

R 2 :

oxidation of ethanol

R 1 :

oxidation of glucose

r 1 − :

reaction rate of R1

r2 :

reaction rate of R2

r 3 :

reaction rate of R3

r 4 :

formation rate of e1

r 5 :

formation rate of e2

r 6 :

formation rate of e3

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Acknowledgements

The authors would like to express profound gratitude to referees for deeper review of this paper and the referee’s useful suggestions that led to an improved presentation of the paper.

The second author would like to thank 2020-SÍÜFEB-022.

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Authors and Affiliations

  1. Department of Mathematics, Clarkson University, Potsdam, NY, 13699, USA

    Mohammad Partohaghighi & Guangming Yao

  2. Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100, Siirt, Turkey

    Ali Akgül & Esra Karatas Akgül

  3. Department of Physics, Faculty of Applied Sciences, Palestine Technical University-Kadoorie, P.O. Box 7, Tulkarm, Palestine

    Jihad Asad

  4. Department of Mathematics, Lahore College Women University, Jail Road, Lahore, Pakistan

    Rabia Safdar

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  1. Mohammad Partohaghighi
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  2. Ali Akgül
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Correspondence to Jihad Asad.

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Partohaghighi, M., Akgül, A., Akgül, E. et al. New numerical simulation of the oscillatory phenomena occurring in the bioethanol production process. Biomass Conv. Bioref. 13, 11203–11217 (2023). https://doi.org/10.1007/s13399-021-01949-1

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  • DOI: https://doi.org/10.1007/s13399-021-01949-1

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