Optimal steadystate design of zone volumes of bioreactors with Monod growth kinetics
(2015) In Biochemical Engineering Journal 100. p.5966 Abstract
 This paper deals with steadystate analysis and design of bioreactors consisting of a number of completely stirred tank reactors (CSTRs) in series. The study is confined to one consumed (substrate) and one consuming constituent (biomass). The specific microbial growth rate is assumed to be described by Monod kinetics. The death of biomass is assumed to be negligible. Two optimal design problems for a large number of CSTRs in series are studied: to minimize the effluent substrate concentration for a given total volume, and to minimize the total volume for a given effluent substrate concentration. As an appealing alternative to solve these problems numerically, it is proposed to consider the asymptotic case where the number of CSTRs tends to... (More)
 This paper deals with steadystate analysis and design of bioreactors consisting of a number of completely stirred tank reactors (CSTRs) in series. The study is confined to one consumed (substrate) and one consuming constituent (biomass). The specific microbial growth rate is assumed to be described by Monod kinetics. The death of biomass is assumed to be negligible. Two optimal design problems for a large number of CSTRs in series are studied: to minimize the effluent substrate concentration for a given total volume, and to minimize the total volume for a given effluent substrate concentration. As an appealing alternative to solve these problems numerically, it is proposed to consider the asymptotic case where the number of CSTRs tends to infinity. This is shown to correspond to one CSTR in series with a plug flow reactor (PFR). A CSTR with a sufficient large volume is needed to avoid washout of the biomass. The main result is that both design problems for the CSTR + PFR configuration have the same solution with respect to the optimal volume of the CSTR, which is given as an explicit function of the incoming substrate concentration, the volumetric flow rate and the coefficients of the Monod growth rate function. Numerical results indicate that the plug flow approach may be used as a feasible design procedure even for a reasonably low number of CSTRs in series. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/5268589
 author
 Zambrano, Jesús; Carlsson, Bengt and Diehl, Stefan ^{LU}
 organization
 publishing date
 2015
 type
 Contribution to journal
 publication status
 published
 subject
 keywords
 Bioprocess design, Modeling, Optimization, CSTR, Plug flow reactor
 in
 Biochemical Engineering Journal
 volume
 100
 pages
 59  66
 publisher
 The Association for the Study of Animal Behaviour / Elsevier B.V.
 external identifiers

 wos:000357904400008
 scopus:84928227080
 ISSN
 1369703X
 DOI
 10.1016/j.bej.2015.04.002
 language
 English
 LU publication?
 yes
 id
 c630a683e5484ebba54a735af642b070 (old id 5268589)
 date added to LUP
 20150617 12:14:22
 date last changed
 20170730 04:03:44
@article{c630a683e5484ebba54a735af642b070, abstract = {This paper deals with steadystate analysis and design of bioreactors consisting of a number of completely stirred tank reactors (CSTRs) in series. The study is confined to one consumed (substrate) and one consuming constituent (biomass). The specific microbial growth rate is assumed to be described by Monod kinetics. The death of biomass is assumed to be negligible. Two optimal design problems for a large number of CSTRs in series are studied: to minimize the effluent substrate concentration for a given total volume, and to minimize the total volume for a given effluent substrate concentration. As an appealing alternative to solve these problems numerically, it is proposed to consider the asymptotic case where the number of CSTRs tends to infinity. This is shown to correspond to one CSTR in series with a plug flow reactor (PFR). A CSTR with a sufficient large volume is needed to avoid washout of the biomass. The main result is that both design problems for the CSTR + PFR configuration have the same solution with respect to the optimal volume of the CSTR, which is given as an explicit function of the incoming substrate concentration, the volumetric flow rate and the coefficients of the Monod growth rate function. Numerical results indicate that the plug flow approach may be used as a feasible design procedure even for a reasonably low number of CSTRs in series.}, author = {Zambrano, Jesús and Carlsson, Bengt and Diehl, Stefan}, issn = {1369703X}, keyword = {Bioprocess design,Modeling,Optimization,CSTR,Plug flow reactor}, language = {eng}, pages = {5966}, publisher = {The Association for the Study of Animal Behaviour / Elsevier B.V.}, series = {Biochemical Engineering Journal}, title = {Optimal steadystate design of zone volumes of bioreactors with Monod growth kinetics}, url = {http://dx.doi.org/10.1016/j.bej.2015.04.002}, volume = {100}, year = {2015}, }