Biological Reactors- Chemostats (Lecture - 13) - Notes, Chemical Engineering, Chemical Engineering Notes | EduRev

Chemical Engineering : Biological Reactors- Chemostats (Lecture - 13) - Notes, Chemical Engineering, Chemical Engineering Notes | EduRev

 Page 1


10.37 Chemical and Biological Reaction Engineering, Spring 2007 
Prof. K. Dane Wittrup 
Lecture 13:  Biological Reactors- Chemostats 
 
This lecture covers: theory of the chemostat, fed batch or semi-continuous fermentor
operations 
Biological Reactors (Chemostat) 
Concentration/Combustion constant 
Biological CSTR 
 
 
[S]
0 
V
 
F
 
F
 
[S], x
 
 
Figure 1.  Diagram of a chemostat. 
 
F = Volumetric flow rate 
biomass
x = 
volume
 
[S]
0 
= Concentration of growth limiting substrate. (for growing cells) 
 
At steady-state, biomass balance 
 
In – Out + Prod = Acc 
 
Sterile feed: In=0 
Steady state: Acc=0 
 
 -+ Fx rV0  at steady-state 
x
=
Cell growth kinetics rx
x
= µ 
-+ Fx µxV0 = 
Solve 
F
µ = 
V
D=Dilution rate
F 1
== 
V t
 
 µ = D
Biological Mechanical 
Cite as: K. Dane Wittrup, course materials for 10.37 Chemical and Biological Reaction Engineering, Spring 
2007. MIT OpenCourseWare (http://ocw.mit.edu), Massachusetts Institute of Technology. Downloaded on 
[DD Month YYYY]. 
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