Abstract
The commonly used scale-up criteria are investigated for their applicability in the case of hydro-ejector reactors. In combination with the liquid jet momentum, which characterizes the hydro-ejector, a scale-up correlation with the oxygen transfer rate as scale-up criterion is proposed, independent of the type of hydro-ejector and the reactor configuration. The results with regard to the power input are compared with those of stirred tank and bubble column. Its competitiveness is at high power per volume input and above all in large scale reactors.
Similar content being viewed by others
Abbreviations
- A m2 :
-
cross section of the nozzle
- a 1,2,3 :
-
parameter
- a 1/m:
-
relative interfacial area
- C mg/l:
-
oxygen concentration
- C ⋆ mg/l:
-
saturation concentration
- C′ :
-
non-dimensional concentration (C′ =C 02/C ⋆)
- D m:
-
tank diameter
- Diff m2/s:
-
diffusivity of the gas in the liquid
- g m/s2 :
-
gravity
- G j :
-
model response curve
- H m:
-
height
- H j :
-
transient characteristic ofj probe
- J kgm/s2 :
-
momentum at nozzle (eq. 8)
- J s :
-
specific momentum (eq. 9)
- k L m/s:
-
transfer coefficient
- OTR kg O2/h:
-
oxygen transfer rate
- P W:
-
power input
- p :
-
bar pressure
- Q m3/h:
-
flow
- t s:
-
time
- T M s:
-
mixing time
- T r s:
-
reference time\((T_r = {D \mathord{\left/ {\vphantom {D {\sqrt {gH} }}} \right. \kern-\nulldelimiterspace} {\sqrt {gH} }})\)
- T s s:
-
residence time
- u gs m/s:
-
superficial gas velocity
- V m3 :
-
volume
- β :
-
gas to liquid flow ratio
- σ :
-
standard deviation
- σ L kg/s2 :
-
surface tension
- ν m2/s:
-
kinematic viscosity
- ϱ kg/m3 :
-
liquid density
- τ s:
-
time constant
- G:
-
gas
- L:
-
liquid
- O2 :
-
oxygen
- HE:
-
hydro-ejector
- P1,2,3,4:
-
probes used in labour scale
- PI1,2:
-
probes used in industrial scale
References
Chisti, M.Y.;Moo-Young, M.: Hydrodynamics and Oxygen Transfer in Pneumatic Bioreactor Devices. Biotechnol. Bioeng. 31 (1988) 487–494
Dang, N.D.P.;Karrer, D.A.;Dunn, I.J.: Oxygen Transfer Coefficients by Dynamic Model Moment Analysis. Biotechnol. Bioeng. 19 (1977) 853–865
Hatzifotiadou, O.: Contribution à l'étude de l'hydrodynamique et du transfert de matière gaz-liquid dans un réacteur à lit fluidisé triphasique. Ph.D. thesis, INSA Toulouse 1989
Heinzle, E.;Dunn, I.J.: Methods and Instruments in Fermentation Gas Analysis. In: Rehm, H.J. (Ed.): Biotechnology 2nd edition, vol. 4, pp. 27–71. VCH Weinheim-New York-Basel-Cambridge 1991
Hjertager, B.H.;Morud, K.: Computational Fluid Dynamics Simulation of Bioreactors. In: Mortensen, U.; Noorman, H.J. (Ed.): Proceedings of International Symposium “Bioreactor Performance” pp. 47–61. Biotechnology Research Foundation, Lund, Sweden 1993
Imai, Y.;Takei, H.;Matsumura, M.: A Simple Na2SO3 Feeding Method forK La Measurement in Large-Scale Fermentors. Biotechn. Bioeng. 29 (1987) 982–993
Kögl, B.;Moser, F.: In: Grundlagen der Verfahrenstechnik, pp. 286–287. Wien-New York: Springer 1981
Linek, V.;Benes, P.;Vacek, V.: Dynamic Pressure Method fork La Measurement in Large-Scale Bioreactors. Biotechn. Bioeng. 33 (1989) 1406–1412
Linek, V.;Sinkule, J.;Benes, P.: Critical Assessment of Gassing-In Methods for Measuringk La in Fermentors. Biotechn. Bioeng. 38 (1991) 323–330
Mayr, B.;Nagy, E.;Horvat, P.;Moser, A.: Scale-Up on Basis of Structured Mixing Models: A New Concept. Biotechn. Bioeng. 43 (1994) 195–206
Moser, A.: In: Bioprocess Technology. Wien-New York: Springer 1988
Oosterhuis, N.M.G.: Scale-up of Bioreactors, a Scale-down Approach. Ph.D. Thesis, Delft University of Technology, The Netherlands 1984
Prasertham, P.: Contribution à l'étude de l'hydrodynamique et du transfert de matière dans une colonne à bulles en ascension libre. Ph.D. thesis, INSA Toulouse 1979
Rainer, B.W.: Etude des performances d'aération des bioréacteurs au moyen d'un nouveau type d'hydroéjecteur. Ph.D. thesis, INSA Toulouse 1992
Rainer,B.W.;Fonade,C.;Moser,A.: Bioprocess Engng. (1995)
Reuss, M.;Jenne, M.: Compartment Models. In: Mortensen, U.; Noorman, H.J. (Ed.): Proceedings of International Symposium “Bioreactor Performance” pp. 63–76. Biotechnology Research Foundation, Lund, Sweden 1993
van't. Riet, K.; Review of Measuring Methods and Results in Nonviscous Gas-Liquid Mass Transfer in Stirred Vessels. Ind. Eng. Chem. Process Des. Dev. 18 (1979) 357–364
van't. Riet, K.;Tramper, J.: Basic Bioreactor Design. New York, Basel, Hongkong: Marcel Dekker, Inc. 1991
Simon, M.;Fonade, C.: Experimental Study of Mixing Performances Using Steady and Unsteady Jets. Can. J. Chem. Eng. 71 (1993) 507–513
Zlokarnik, M.: Sorption Characteristics for Gas-Liquid Contactng in Mixing Vessels. Adv. Biochem. Eng. 8 (1978) 133–151
Zlokarnik, M.: Sorption Characteristics of Slot Injectors and their Dependency on the Coalescence Behaviour of the System. Chem. Eng. Sci. 34 (1979) 1265–1271
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Orfaniotis, A., Lalane, M., Doubrovine, N. et al. Oxygen transfer and scale-up in bioreactors using hydro-ejectors for gas-liquid contacting. Bioprocess Engineering 14, 211–218 (1996). https://doi.org/10.1007/BF01464736
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01464736