Mathematical Study of a Two-Stage Anaerobic Model When the Hydrolysis Is the Limiting Step

A two-step model of the anaerobic digestion process is mathematically and numerically studied. The focus of the paper is put on the hydrolysis and methanogenesis phases when applied to the digestion of waste with a high content of solid matter: existence and stability properties of the equilibrium p...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Mohammed Hanaki, Jérôme Harmand, Zoubida Mghazli, Alain Rapaport, Tewfik Sari, Pablo Ugalde
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	commensal system anaerobic digestion steady state mortality stability operating diagrams Chemical technology TP1-1185 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/0425944a04354f938c719d477731d55e
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:0425944a04354f938c719d477731d55e
record_format	dspace
spelling	oai:doaj.org-article:0425944a04354f938c719d477731d55e2021-11-25T18:51:47ZMathematical Study of a Two-Stage Anaerobic Model When the Hydrolysis Is the Limiting Step10.3390/pr91120502227-9717https://doaj.org/article/0425944a04354f938c719d477731d55e2021-11-01T00:00:00Zhttps://www.mdpi.com/2227-9717/9/11/2050https://doaj.org/toc/2227-9717A two-step model of the anaerobic digestion process is mathematically and numerically studied. The focus of the paper is put on the hydrolysis and methanogenesis phases when applied to the digestion of waste with a high content of solid matter: existence and stability properties of the equilibrium points are investigated. The hydrolysis step is considered a limiting step in this process using the Contois growth function for the bacteria responsible for the first degradation step. The methanogenesis step being inhibited by the product of the first reaction (which is also the substrate for the second one), and the Haldane growth rate is used for the second reaction step. The operating diagrams with respect to the dilution rate and the input substrate concentrations are established and discussed.Mohammed HanakiJérôme HarmandZoubida MghazliAlain RapaportTewfik SariPablo UgaldeMDPI AGarticlecommensal systemanaerobic digestionsteady statemortalitystabilityoperating diagramsChemical technologyTP1-1185ChemistryQD1-999ENProcesses, Vol 9, Iss 2050, p 2050 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	commensal system anaerobic digestion steady state mortality stability operating diagrams Chemical technology TP1-1185 Chemistry QD1-999
spellingShingle	commensal system anaerobic digestion steady state mortality stability operating diagrams Chemical technology TP1-1185 Chemistry QD1-999 Mohammed Hanaki Jérôme Harmand Zoubida Mghazli Alain Rapaport Tewfik Sari Pablo Ugalde Mathematical Study of a Two-Stage Anaerobic Model When the Hydrolysis Is the Limiting Step
description	A two-step model of the anaerobic digestion process is mathematically and numerically studied. The focus of the paper is put on the hydrolysis and methanogenesis phases when applied to the digestion of waste with a high content of solid matter: existence and stability properties of the equilibrium points are investigated. The hydrolysis step is considered a limiting step in this process using the Contois growth function for the bacteria responsible for the first degradation step. The methanogenesis step being inhibited by the product of the first reaction (which is also the substrate for the second one), and the Haldane growth rate is used for the second reaction step. The operating diagrams with respect to the dilution rate and the input substrate concentrations are established and discussed.
format	article
author	Mohammed Hanaki Jérôme Harmand Zoubida Mghazli Alain Rapaport Tewfik Sari Pablo Ugalde
author_facet	Mohammed Hanaki Jérôme Harmand Zoubida Mghazli Alain Rapaport Tewfik Sari Pablo Ugalde
author_sort	Mohammed Hanaki
title	Mathematical Study of a Two-Stage Anaerobic Model When the Hydrolysis Is the Limiting Step
title_short	Mathematical Study of a Two-Stage Anaerobic Model When the Hydrolysis Is the Limiting Step
title_full	Mathematical Study of a Two-Stage Anaerobic Model When the Hydrolysis Is the Limiting Step
title_fullStr	Mathematical Study of a Two-Stage Anaerobic Model When the Hydrolysis Is the Limiting Step
title_full_unstemmed	Mathematical Study of a Two-Stage Anaerobic Model When the Hydrolysis Is the Limiting Step
title_sort	mathematical study of a two-stage anaerobic model when the hydrolysis is the limiting step
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/0425944a04354f938c719d477731d55e
work_keys_str_mv	AT mohammedhanaki mathematicalstudyofatwostageanaerobicmodelwhenthehydrolysisisthelimitingstep AT jeromeharmand mathematicalstudyofatwostageanaerobicmodelwhenthehydrolysisisthelimitingstep AT zoubidamghazli mathematicalstudyofatwostageanaerobicmodelwhenthehydrolysisisthelimitingstep AT alainrapaport mathematicalstudyofatwostageanaerobicmodelwhenthehydrolysisisthelimitingstep AT tewfiksari mathematicalstudyofatwostageanaerobicmodelwhenthehydrolysisisthelimitingstep AT pablougalde mathematicalstudyofatwostageanaerobicmodelwhenthehydrolysisisthelimitingstep
_version_	1718410567254802432

Mathematical Study of a Two-Stage Anaerobic Model When the Hydrolysis Is the Limiting Step

Ejemplares similares