Abstract
Processes consist of different steps. If for example an aerobic conversion takes place in a solid particle the oxygen has to be transferred from the gas phase to the liquid phase and from the liquid phase to the solid phase. The rate of the overall process will be determined by the slowest process. Optimization of the process can be achieved by optimization of the slowest process step. In that case, however, an overview has to be made of all possible process steps. A useful tool for such an inventory is regime analysis. A system with immobilized biocatalysts has a complex behaviour. A complete description of the process for a wide range of conditions is time consuming or even impossible. This argument is valid for most biotechnological processes and a consistent approach to simplify these processes is regime analysis (Moser 1988, Roels 1983). In the regime analysis presented by Schouten et al. (1986), with immobilized Clostridium spp. for isopropanol/ butanol production, the effectiveness factor for the immobilized cells was estimated to be 1. They conclude that the isopropanol/butanol production is not diffusion controlled and the immobilized cells behave as free cells. New for the regime analysis presented here is the addition of a solid third phase with immobilized cells growing in a diffusion-controlled situation.
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Abbreviations
- a g :
-
specific surface area of a gas bubble (m2 · m-3 gas phase)
- a lg :
-
surface area of the liquids/gas inter phase (m2 · m-3 liquid phase)
- a ls :
-
surface area of the solid/liquids inter phase (m2 · m-3 liquid phase)
- a s :
-
specific surface area of a gel bead (m2 · m-3 solid phase)
- C s :
-
saturation concentration (of oxygen) in the liquid phase (mol · m-3)
- C si :
-
substrate concentration at surface of the biocatalyst (mol · m-3)
- C sb :
-
substrate concentration in bulk phase (mol · m-3)
- C x :
-
biomass concentration (kg · m-3)
- d b :
-
gas bubble diameter (m)
- d p :
-
biocatalyst particle diameter (m)
- D :
-
dilution rate (s-1)
- H :
-
Henry coefficient (m3 · m-3)
- K s :
-
half-rate constant (mol · m-3)
- k ls :
-
liquid-solid mass transfer coefficient (m · s-1)
- k lg :
-
gas-liquid mass transfer coefficient (m · s-1)
- L :
-
length of the column (m)
- Y xs :
-
molar substrate yield (mol · kg-1)
- v g :
-
terminal rising velocity of a gas bubble (m · s-1)
- ɛ g :
-
gas hold up (m3 · m-3 liquid)
- ɛ s :
-
solid phase hold up (m3 · m-3 liquid)
- τ:
-
characteristics (s)
- τ g :
-
τ for growth (s)
- τ ex 0 :
-
τ for oxygen exhaustion of gas bubbles (s)
- τ lg 0 :
-
τ for oxygen transfer from gas to liquid phase (s)
- τ ret liq :
-
τ for the liquid retention time (s)
- τ ret gas :
-
τ for the gas retention time (s)
- τ ls i :
-
τ for the substrate (i) transfer from liquid to solid phase (s)
- τ mix :
-
τ for the liquid of phase (s)
- τ circ :
-
τ for the liquid circulation in air-lift loop reactor (s)
- τ kin i :
-
τ for substrate (i) conversion (s)
- τ conv i :
-
τ for substrate (i) conversion in the biocatalyst (s)
- μ max :
-
maximum spercific growth rate (s-1)
- η ei :
-
internal effectiveness factor (1)
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© 2001 Springer-Verlag Berlin Heidelberg
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Wijffels, R.H. (2001). Gradients in Liquid, Gas or Solid Fractions. In: Wijffels, R.H. (eds) Immobilized Cells. Springer. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56891-6_17
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DOI: https://doi.org/10.1007/978-3-642-56891-6_17
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