Abstract
Based on the kinetic constants determined and the mathematical model of the reactor system developed, the performance of axial flow packed bed continuous enzyme reactor system was studied experimentally and also simulated with the aid of a computer for ultimate objective of optimization of the glucose isomerase reactor system.
A reactor model was established analogous to heterogeneous catalytic reactor model taking into account the effect of fluid mass transfer and reversible kinetics. The investigated catalyst system consists of immobilized Streptomyces bambergiensis cells containing the enzyme glucose isomerase, which catalyzes the isomerization of glucose to fructose.
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Abbreviations
- A 0, A 1, A 2 :
-
parameters in axial dispersion reactor model
- c go, cg, cgemol m−3 :
-
glucose concentration at time t=0, at any time and at equilibrium conditions
- c gsmol m−3 :
-
glucose concentration at particle surface
- C :
-
dimensionless glucose concentration
- d pm:
-
particle diameter
- d rm:
-
diameter of reactor tube
- Da :
-
Damkohler number
- D eff m2 s−1 :
-
effective glucose diffusion coefficient in Ca-alginate gel beads
- k fm s−1 :
-
film transfer coefficient
- K e :
-
equilibrium constant
- K mg, Kmfmol m−3 :
-
Michaelis-Menten constant for glucose and fructose, respectively
- K mmol m−3 :
-
modified Michaelis-Menten constant
- K :
-
dimensionless parameter
- K * :
-
dimensionless parameter
- L m:
-
length of reactor tube
- Pe :
-
Peclet number
- Pe p :
-
particle Peclet number
- Q m3 s−1 :
-
volumetric flow rate
- (-r g) mol m−3 s−1 :
-
reaction rate
- Re p :
-
Reynolds particle number
- Sc :
-
Schmidt number
- Sh :
-
Sherwood number
- t s:
-
time
- v 0 m s−1 :
-
linear superficial fluid velocity
- V mg, Vmfmol g−1 s−1 :
-
maximal reaction rate for glucose and fructose, respectively
- V mmol m−3 s−1 :
-
modified maximal reaction rate for glucose
- V xmg mol m−2 s−1 :
-
maximal reaction rate for glucose
- X g, Xge :
-
glucose conversion and glucose conversion at equilibrium conditions
- X :
-
normalized conversion
- Y :
-
dimensionless glucose concentration
- ε :
-
void fraction of fixed bed
- η′ :
-
effectiveness factor of biocatalyst
- η Pa s:
-
kinematic viscosity of substrate
- μ 1 s:
-
first absolute weighted moment
- μ′2 s2 :
-
second central weighted moment
- ϱ gkg m−3 :
-
substrate density
- ϱ pkg m−3 :
-
particle density
- σ 2θ :
-
dimensionless variance of RTD curve
- τ s:
-
residence time
References
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Vasić-Rački, D., Pavlović, N., Čižmek, S. et al. Development of reactor model for glucose isomerization catalyzed by whole-cell immobilized glucose isomerase. Bioprocess Engineering 7, 183–187 (1991). https://doi.org/10.1007/BF00387415
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DOI: https://doi.org/10.1007/BF00387415