Improvement of performances of continuous biological water treatment with periodic solutions - Avignon Université Access content directly
Preprints, Working Papers, ... Year : 2019

Improvement of performances of continuous biological water treatment with periodic solutions

Abstract

We study periodic solutions of the chemostat model under an integral constraint, either on the flow rate (Pb. 1) or on the substrate concentration (Pb. 2). We give conditions on the growth kinetics for which it is possible to improve the averaged water quality (Pb. 1) or the total quantity of treated water (Pb. 2) over a given time period, compared to steady-state. When this is possible, we characterize optimal periodic solutions and show a duality between the two optimization problems. The results are illustrated on four types of growth kinetics, given by Monod, Haldane, Hill and Contois functions.
Fichier principal
Vignette du fichier
periodic-BRT-2019.pdf (396.23 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02281538 , version 1 (09-09-2019)
hal-02281538 , version 2 (13-09-2019)

Identifiers

  • HAL Id : hal-02281538 , version 2

Cite

Térence Bayen, Alain Rapaport, Fatima Zahra Tani. Improvement of performances of continuous biological water treatment with periodic solutions. 2019. ⟨hal-02281538v2⟩
114 View
78 Download

Share

Gmail Facebook X LinkedIn More