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Mathematical Modeling of Anaerobic Digestion of Maize Waste: a Case Study

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In the last two decades, the terms waste management and climate conservation have become major worldwide issues with global warming and its opposing sides on the future of the planet. The main purpose of this study is the modeling of Anaerobic Digestion (AD) that can be utilized to analyze various operational strategies in order to recover biogas from Maize Waste (MW). The production of methane is the go of this paper, which requires the inclusion of biological and Physico-chemical models in order to describe the whole process of methanization. One of the best choice in the modeling of such biological issues is the phenomenological model of Anaerobic Digestion (AD), which is the most complete model for wastewater treatment. This model is called ADM1, and it is an integrated model that describes very well the transformation of the Organic Matter (OM) into soluble components, then into biogas as the final phase of this biological conversion. The modeling tools for anaerobic degradation make the subject of this study. The completion of the ADM1 model is done by the resolution of systems of Differential Equations (DE) by a numerical method. In this study, the Runge-Kutta method is used to resolve the ADM1 model.
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Model; ADM1; Anaerobic Digestion; Methane; Maize; Runge-Kutta; Degradation

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Bellahkim, M., Gueraoui, K., Mahboub, M., Taibi, M., Belgada, R., Debenest, G., Application of the IWA Anaerobic Digestion Model (ADM1) for the Valorization of Maize Residues in Morocco, (2019) International Journal on Engineering Applications (IREA), 7 (6), pp. 220-226.

Belgada, R., Gueraoui, K., Mzerd, A., Taibi, M., Ouhimmou, S., Benbih, H., Mathematical and Numerical Modeling of Energy Recovery of Sunflower Waste, (2019) International Journal on Engineering Applications (IREA), 7 (5), pp. 160-168.

Rico-Martínez, Ramiro & Rivas, Pasiano&Botello-Alvarez, Enrique & Cano-Gómez, José. (2020). New Model Of Hydrolysis In The Anaerobic Co-Digestion Of Bovine Manure With Vegetablewaste: Modification Of Anaerobic Digestion Model No. 1. Revista mexicana de ingeniería química.

Satpathy, P., Steinigeweg, S., Siefert, E. and Cypionka, H. (2017) Effect of Lactate and Starter Inoculum on Biogas Production from Fresh Maize and Maize Silage. Advances in Microbiology, 7, 358-376.

Li P, Li W, Sun M, Xu X, Zhang B, Sun Y. Evaluation of Biochemical Methane Potential and Kinetics on the Anaerobic Digestion of Vegetable Crop Residues. Energies. 2019; 12(1):26.

Blumensaat, F.; Keller, J. Modeling of two-stage anaerobic digestion using the IWA Anaerobic Digestion Model No. 1 (ADM1). Water Res. 2005, 39, 171–183

Parker WJ. Application of the ADM1 model to advanced anaerobic digestion. Bioresource Technology. 2005 Nov; 96(16):1832-1842.

Mohcine, A., Gueraoui, K., Mahboub, M., Bensalah, H., Rtibi, A., Theoretical and Numerical Modeling of Turbulent Flow Problems in an Anaerobic Digester of Household Waste in Morocco, (2018) International Review of Civil Engineering (IRECE), 9 (1), pp. 40-49.

Fezzani, Boubaker&Cheikh, Ridha. (2008). Modeling of the mesophilic anaerobic co-digestion of olive mill wastewater with olive mill solid waste using anaerobic digestion model No. 1 (ADM1). Bioresource technology. 99. 6565-77.

Men-la-yakhaf, S., Gueraoui, K., Maaouni, A., Driouich, M., Numerical and Mathematical Modeling of Reactive Mass Transfer and Heat Storage Installations of Argan Waste, (2014) International Review of Mechanical Engineering (IREME), 8 (1), pp. 236-240.

Samir Men-La-Yakhaf, Kamal Gueraoui, Mohamed Driouich, Mohamed Sammouda
Numerical and mathematical modeling of reactive mass transfer and heat storage installations of palms waste,Applied Mathematical Sciences, Vol. 9, 2015, no. 102, 5055-5063.

Paritosh, Kunwar & Kushwaha, Sandeep & Yadav, Monika & Pareek, Nidhi &Chawade, Aakash & Vivekanand, Vivekanand. (2017). Food Waste to Energy: An Overview of Sustainable Approaches for Food Waste Management and Nutrient Recycling. BioMed Research International. 2017. 1-19.

J. Lauwers, L. Appels, I. P. Thompson, J. Degreve, J. F. Van Impe, ` and R. Dewil, Mathematical modeling of anaerobic digestion of biomass and waste: power and limitations, Progress in Energy and Combustion Science, vol. 39, no. 4, pp. 383–402, 2013

I. Angelidaki, L. Ellegaard, and B. K. Ahring, A mathematical model for dynamic simulation of anaerobic digestion of complex substrates: focusing on ammonia inhibition, Biotechnology and Bioengineering, vol. 42, no. 2, pp. 159–166, 1993.

Fritsch C, Staebler A, Happel A, Cubero Márquez MA, Aguiló-Aguayo I, Abadias M, Gallur M, Cigognini IM, Montanari A, López MJ, Suárez-Estrella F, Brunton N, Luengo E, Sisti L, Ferri M, Belotti G. Processing, Valorization and Application of Bio-Waste Derived Compounds from Potato, Tomato, Olive and Cereals: A Review. Sustainability. 2017; 9(8):1492.

Ali, Zulfiqar & Hussain, Maqsood & Arshad, Muhammad. (2014). Saccharification of corn cobs an agro-industrial waste by sulphuric acid for the production of monomeric sugars. International Journal of Biosciences. 5. 204-213.

Elegbede, Joseph & Lateef, Agbaje. (2018). Valorization of Corn-Cob by Fungal Isolates for Production of Xylanase in Submerged and Solid State Fermentation Media and Potential Biotechnological Applications. Waste and Biomass Valorization. 9. 1273-1287.

Lauwers, Joost & Appels, Lise& Thompson, Ian &Degrève, Jan & Van Impe, Jan &Dewil, Raf. (2013). Mathematical modeling of anaerobic digestion of biomass and waste: Power and limitations. Progress in Energy and Combustion Science. 39. 383–402.

Pointner, M. &Kuttner, P. &Obrlik, T. &Jäger, Alexander & Kahr, Heike. (2014). Composition of corncobs as a substrate for fermentation of biofuels. Agronomy Research. 12.

Preseela Satpathy, Piotr Biernacki, Heribert Cypionka & Sven Steinigeweg (2016): Modelling anaerobic digestion in an industrial biogas digester: Application of lactate including ADM1 model (Part II), Journal of Environmental Science and Health, Part A,

Pan-in, Sopee, Sukasem, Natthanicha. (2017). Methane production potential from anaerobic co-digestions of different animal dungs and sweet corn residuals. Energy Procedia. 138. 943-948.

Frunzo, Luigi, G. Fermoso, Fernando, Luongo, Vincenzo, Mattei, M. R., Esposito, Giovanni. (2019). ADM1-based mechanistic model for the role of trace elements in anaerobic digestion processes. Journal of Environmental Management. 241.

Surra, Elena & Bernardo, Maria & Lapa, Nuno & Esteves, Isabel & Fonseca, Isabel &Mota, José. (2018). Maize cob waste pre-treatments to enhance biogas production through co-anaerobic digestion with OFMSW. Waste Management. 72. 193-205.

El Kaihal, A., Kifani-Sahban, F., Wahby, I., Gueraoui, K., Mahboub, M., Mohcine, A., Men-La-Yakhaf, S., Mathematical and Numerical Modeling of Microalgae Growth, (2019) International Review of Mechanical Engineering (IREME), 13 (1), pp. 38-46.

Benbih, H., Gueraoui, K., Bensalah, H., Rtibi, A., Belkasmi, Y., Zeggwagh, G., Mathematical and Numerical Modeling of the Suspension of Particles Due to the Air Flow Between Two Rigid Walls, (2018) International Review of Civil Engineering (IRECE), 9 (1), pp. 50-56.

Mahboub, M., Gueraoui, K., Men-la-yakhaf, S., Taibi, M., Driouich, M., Mohcine, A., Aberdane, I., Mathematical and Numerical Modeling for Energy Valorization of Sugarcane, (2018) International Review of Civil Engineering (IRECE), 9 (5), pp. 194-201.

Jeppsson, Ulf & Rosen, Christian. (2006). Aspects on ADM1 Implementation within the BSM2 Framework.

D.J. Batstone, J. Keller, I. Angelidaki, S.V. Kalyuzhnyi, S.G. Pavlostathis, A. Rozzi, W.T.M. Sanders, H. Siegrist, V.A. Vavilin; The IWA Anaerobic Digestion Model No 1 (ADM1). Water Sci Technol 1 May 2002; 45 (10): 65–73.

Laabyech, A., Men-la-yakhaf, S., Kifani-Sahban, F., Gueraoui, K., Wahby, I., Effects of the Variation of Organic Carbon Rate on the Biogas Production During Anaerobic Digestion, (2018) International Review of Mechanical Engineering (IREME), 12 (10), pp. 854-859.

Belgada, R., Gueraoui, K., Mzerd, A., Bellahkim, M., Benbih, H., A Biological Degradation Model of Sunflower Waste with Comparison of the Growth Profiles of Microorganisms Between the Meal and the Complete Sunflower Seed, (2020) International Journal on Engineering Applications(IREA),8(3),pp.107-117.


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