A modeling and simulation study of anaerobic digestion in plug-flow reactors

Autor: Giovanni Esposito, Daniele Bernardo Panaro, Florinda Capone, Jean-Philippe Steyer, Luigi Frunzo, M.R. Mattei
Přispěvatelé: Università degli studi di Napoli Federico II, Laboratoire de Biotechnologie de l'Environnement [Narbonne] (LBE), Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro), Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), Panaro, D. B., Mattei, M. R., Esposito, G., Steyer, J. P., Capone, F., Frunzo, L.
Jazyk: angličtina
Rok vydání: 2021
Předmět:
0106 biological sciences
Convection
FOS: Computer and information sciences
Materials science
Differential equation
35Q92
35Q35
FOS: Physical sciences
Numerical simulation
01 natural sciences
7. Clean energy
Methane
Computational Engineering
Finance
and Science (cs.CE)
03 medical and health sciences
Matrix (mathematics)
chemistry.chemical_compound
010608 biotechnology
Plug-flow reactor
Numerical simulations
Physics - Biological Physics
Computer Science - Computational Engineering
Finance
and Science
030304 developmental biology
0303 health sciences
Numerical Analysis
Plug flow
Partial differential equation
[SDE.IE]Environmental Sciences/Environmental Engineering
Applied Mathematics
Mechanics
Partial differential equations
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
6. Clean water
Numerical integration
Anaerobic digestion
chemistry
13. Climate action
Biological Physics (physics.bio-ph)
Modeling and Simulation
Dry anaerobic digestion
Zdroj: Communications in Nonlinear Science and Numerical Simulation
Communications in Nonlinear Science and Numerical Simulation, Elsevier, 2022, 105, pp.106062. ⟨10.1016/j.cnsns.2021.106062⟩
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2021.106062⟩
Popis: A mathematical model for anaerobic digestion in plug-flow reactors is proposed on the basis of mass balance considerations. The model consists of a system of parabolic partial differential equations for the variables representing the concentrations of the bio-components constituting the waste matrix and takes into account convective and diffusive phenomena. The plug-flow reactor is modelled as a one-dimensional domain; the waste matrix moves in the direction of the reactor axis and undergoes diffusive phenomena which reproduce the movement of the bio-components along the reactor axis due to a gradient in concentration. The velocity characterizing the convection of the waste matrix is not fixed a priori but it is considered as an additional unknown of the mathematical problem. The variation in the convective velocity allows to account the mass variation occurring along a plug-flow reactor due to the conversion of solids. The equation governing the convective velocity is derived by considering the density of the waste matrix within the reactor constant over time and the sum of the volume fractions of the bio-components constituting the waste matrix constrained to unity. The waste matrix undergoes biochemical transformations catalysed by anaerobic microbial species which lead to the production of gaseous methane, the final product of the anaerobic digestion process. Biochemical processes are modelled using a simplified scheme and a differential equation is used to describe the dynamics of the produced gaseous methane. A finite difference scheme is used for the numerical integration. Model consistency is showed through numerical simulations which investigate the effect of the variation of some operating parameters on process performance. The model is then applied to a real case scenario of engineering interest. Simulations produce results in good agreement with experimental observations.
25 pages, 11 figures, preprint version
Databáze: OpenAIRE
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