Abstract
A model is proposed to describe the performance of a new type of fermenter for ethanol production, the fluidized bed gas-solid fermenter, with respect to scaling-up effects. Based on the fact that in the fluid bed the substrate is not supplied continuously to each particle, two scale-up parameters are derived, circulation time τ and specific substrate supply Δm G,P , which are shown to influence reactor efficiency significantly. The validity of the model is checked by comparing the calculated yield coefficients for ethanol, cell mass and carbon dioxide to the results of fermentation experiments performed under aerobic conditions in a laboratory-scale reactor and a semi-technical fermenter.
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Abbreviations
- A m2 :
-
bed surface
- A s m2 :
-
bed surface to which substrate is supplied
- C i kg/m3 :
-
concentration of species i
- \(C_{{\text{O}}_{\text{2}} ,0}\) kg/m3 :
-
concentration of oxygen in water at saturation
- D i m2/s:
-
diffusion coefficient of species i
- E J/mol:
-
activation energy
- H m:
-
expanded bed height
- k m h−1 :
-
maintenance coefficient
- K S,v kg/m3 :
-
Michaelis-Menten constant for ethanol production
- K S,μ kg/m3 :
-
Michaelis-Menten constant for growth on glucose
- M i g/mol:
-
molecular weight of species i
- m i , g:
-
mass of species i
- m G,V kg/(m3· h):
-
specific glucose feed
- m i g/s:
-
mass flow of species i
- P i :
-
mbar partial pressure of species i
- r m:
-
radial distance
- R m:
-
pellet radius
- t s:
-
time
- T K:
-
temperatur
- u m/s:
-
velocity
- V a m3 :
-
pellet volume, where oxygen is available
- V p m3 :
-
pellet volume
- V s m3 :
-
solid volume; total yeast volume
- X kg/m3 :
-
density of dry mass inside the pellet
- Y i/j :
-
yield coefficient between species i and j
- \(\bar \varepsilon _b\) :
-
mean bubble gas holdup
- ɛ mf :
-
bed porosity at minimum fluidization
- ɛ p :
-
particle porosity
- η ws :
-
efficiency factor for fluid bed fermenter
- μ G h−1 :
-
spec. growth rate on glucose
- μ E h−1 :
-
spec. growth rate on ethanol
- v h−1 :
-
spec. ethanol production rate
- ϱ kg/m3 :
-
density
- σ E h−1 :
-
spec. oxygen consumption rate
- τ s:
-
circulation time
- Φ :
-
Thiele module
- b :
-
bubble
- C :
-
carbon dioxide
- dw :
-
dry weight
- E :
-
ethanol
- G :
-
glucose
- g :
-
gas
- O2 :
-
Oxygen
- p :
-
particle
- s :
-
solid
- st :
-
stationary
- W :
-
water
- Y :
-
yeast
References
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Röttenbacher, L., Schößler, M. & Bauer, W. Modelling a solid-state fluidized bed fermenter for Ethanol production with S. cerevisiae. Bioprocess Engineering 2, 25–31 (1987). https://doi.org/10.1007/BF00369223
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DOI: https://doi.org/10.1007/BF00369223