The productivity of two serial chemostats

Dali-Youcef, Manel; Sari, Tewfik

doi:10.1142/s1793524522501133

Cited by 4 publications

(2 citation statements)

References 29 publications

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“…Therefore, if biomass productivity is taken into account as a performance criterion, the comparison between the serial chemostat and the single chemostat does not lead to the same conclusions. For more details on this issue the reader can refer to [8].…”

Section: Discussionmentioning

confidence: 99%

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Performance Study of Two Serial Interconnected Chemostats with Mortality

2022

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The present work considers the model of two chemostats in series when a biomass mortality is considered in each vessel. We study the performance of the serial configuration for two different criteria which are the output substrate concentration and the biogas flow rate production, at steady state. A comparison is made with a single chemostat with the same total volume. Our techniques apply for a large class of growth functions and allow us to retrieve known results obtained when the mortality is not included in the model and the results obtained for specific growth functions in both the mathematical literature and the biological literature.In particular, we provide a complete characterization of operating conditions under which the serial configuration is more efficient than the single chemostat, i.e. the output substrate concentration of the serial configuration is smaller than that of the single chemostat or, equivalently, the biogas flow rate of the serial configuration is larger than that of the single chemostat. The study shows that the maximum biogas flow rate, relative to the dilution rate, of the series device is higher than that of the single chemostat provided that the volume of the first tank is large enough. This non-intuitive property does not occur for the model without mortality.

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Section: Discussionmentioning

confidence: 99%

“…In this section we assume that (S in , D) is fixed and we look at the values of r for which (8) holds. More precisely we are going to describe the function…”

Section: The Output Substrate Concentration As a Function Of The Volu...mentioning

confidence: 99%

Performance Study of Two Serial Interconnected Chemostats with Mortality

2022

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Decreasing the Retention Time as a Way for Stabilizing Anaerobic Digestion Processes

Harmand

2024

Springer Water

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Best Operating Conditions for Biogas Production in Some Simple Anaerobic Digestion Models

Sari

2022

Processes

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We consider one-step and two-step simple models of anaerobic digestion that are able to adequately capture the main dynamical behaviour of the full anaerobic digestion model ADM1. We do not consider specific growth functions. We only require them to satisfy certain qualitative assumptions. These assumptions are satisfied for concave growth functions, but they are also satisfied for a large class of growth functions found in many applications. We consider the maximisation of the biogas production with respect to the operating parameters of the model, which are the dilution rate and the substrate input concentration. We give the best operating conditions and we describe them as a subset of the set of operating parameters. Our models incorporate biomass decay terms, corresponding to maintenance. Numerical plots with specified growth functions and biological parameters illustrate the obtained results.

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The productivity of two serial chemostats

Cited by 4 publications

References 29 publications

Performance Study of Two Serial Interconnected Chemostats with Mortality

Performance Study of Two Serial Interconnected Chemostats with Mortality

Decreasing the Retention Time as a Way for Stabilizing Anaerobic Digestion Processes

Best Operating Conditions for Biogas Production in Some Simple Anaerobic Digestion Models

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