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Investigation of the structure of two-phase flows. Model media in bubble-column bioreactors

IV. True liquid velocities and bubble velocity distributions

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Summary

The following two-phase properties were evaluated in bubble column reactors with porous plate (5 μm pore diameter) or perforated plate (1 mm and/or 3 mm hole diameter) gas distributors using distilled water or a 1% methanol solution: transverse profiles of the mean and Sauter bubble diameters, local gas holdups, true mean liquid and bubble velocities. Furthermore, swarm bubble velocity distributions were evaluted and compared with calculated values.

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Abbreviations

D:

Column diameter

d:

Bubble diameter (\(\bar d\) or ds)

dB :

Bubble diameter in a swarm (classes)

EG :

Mean relative gas holdup (Eq. (8))

f:

Bubble frequency

g:

Acceleration of gravity

H:

Longitudinal distance in the column

n:

Number of bubbles registered by the electrical conductivity probe

r:

Transverse coordinate

rB :

Bubble radius

\(\bar U\) :

Local true liquid velocity (Eq. (3) or (6))

UB :

Bubble velocity

UB,C :

Bubble velocity calculated by Eq. (10)

\(\overline{\overline U} _B^ * \) :

True local bubble velocity (Eq. (11))

\(\bar U_B \) :

Mean velocity of bubbles of diameter dB

UBmin:

Minimum velocity of bubbles of diameter dB

\(\overline{\overline U} _B \) :

Local mean of velocity distribution of swarm bubbles

u:

Effective recorded liquid velocity (Eq. (1) or (4))

Ux, uy, uz :

Liquid velocity fluctuation components

uB :

Bubble swarm velocity (Eq. (12))

ur :

Relative bubble swarm velocity (Eq. (13))

VG :

Gas holdup

VL :

Liquid holdup

WSG :

Superficial gas velocity

WSL :

Superficial liquid velocity

g :

Local relative gas holdup (Eq. (7))

up:

Upwards

down:

Downwards

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Zakrzewski, W., Lippert, J., Lübbert, A. et al. Investigation of the structure of two-phase flows. Model media in bubble-column bioreactors. European J. Appl. Microbiol. Biotechnol. 12, 69–75 (1981). https://doi.org/10.1007/BF01970037

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