Abstract
For three types of self-sucking impellers (fourand six-pipe and disk impellers) mixing power, initial point, amount of gas leaving the impeller and mass transfer coefficient were determined experimentally. Investigations were performed for two systems: water and biomass solution.
From the point of view of a minimum mixing power and maximum mass transfer coefficient the best impeller has been chosen. Fuzzy multiobjective optimization for determination of optimum operating conditions is proposed.
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Abbreviations
- c :
-
concentration of oxygen
- D :
-
tank diameter
- d :
-
impeller diameter
- g :
-
acceleration of gravity
- H :
-
height of liquid in the tank
- H′ :
-
height of liquid above impeller, H′=H-y
- k :
-
consistency coefficient
- k L a :
-
volumetric mass transfer coefficient
- N :
-
rotational speed of impeller
- n :
-
flow behaviour index
- P :
-
mixing power for pure liquid
- P G :
-
mixing power for aerated liquid
- V G :
-
volumetric air flow rate
- y :
-
distance of impeller from the tank bottom
- v a :
-
apparent kinematic viscosity of liquid
- ϱ :
-
density of liquid
- τ :
-
time
- Φ :
-
gas hold-up
- Eu=P/N 3 d 5 ϱ or EuG=P G /N 3 d 5 ϱ :
-
Euler Number for non-gassed or aerated liquid
- Fr=N 2 d/g :
-
Froude Number
- Fr*=N 2 d 2/g(H -y) :
-
modified Froude Number
- KG=V G /N d 3 :
-
gas flow number
- Re=N d 2/v a :
-
Reynolds Number
- Sh=k K a/(g 2/v a )1/3 :
-
Sherwood Number
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Krasławski, A., Rzyski, E. & Stelmach, J. Application of fuzzy multiobjective optimization for self-sucking impellers in a bioreactor. Bioprocess Engineering 6, 109–116 (1991). https://doi.org/10.1007/BF00369063
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DOI: https://doi.org/10.1007/BF00369063