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Oxygen transfer and scale-up in bioreactors using hydro-ejectors for gas-liquid contacting

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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.

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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

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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

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