be as high as 100 times the tank-averaged value. In the remainder of the vessel, the
local dissipation rate may fall to 0.25. In bubble columns and ALRs, energy dissipation
rates can be estimated using the following equations (Chisti, 1998):
(4)
(5)
where usr is the superficial gas velocity in the riser and Ad/Ar is the ratio of the
downcomer-to-riser cross-sectional areas. Equations 3–5 indicate that energy dissipation
rates are strongly dependent on impeller design and agitation rate in STRs, and on
aeration rate and vessel geometry on ALRs. In an unaerated STR, average energy
dissipation rates
Table 14.4 System geometry and operating details
for a train of commercial bioreactors (adapted from
Hashimoto and Azechi, 1988)
V (L) T (m) Ha (m) H/T (−) Agitation System D/T (−) N (rpm) πND (m s−^1 )
20 0.24 0.33 1.38 2 turbines 0.40 125–1250 0.63–6.28
300 0.55 0.95 1.73 2 turbines 0.36 15–150 0.16–1.57
2000 1.25 1.22 0.98 2 turbines 0.34 10–100 0.22–2.20
20 000 2.50 3.06 0.92 2 4-blade paddles (45°) 0.50 10–40 0.65–2.62
aassuming a maximum working volume of 0.75V.
Table 14.5 Representative energy dissipation levels
in bioreactors used for the cultivation of plant cell
suspension cultures
System Vessel/Impeller
configuration
Operating
conditions
Np(−) ε(W
kg−^1 )a
Reference
Catharanthus
roseus
11 L STR(10L wv)
helical ribbon impeller
D: 0.21 m
120 rpm
surface aerated
μa: 0.6 Ns m−^2
~2 0.7 Kamen et al.
(1992)
Catharanthus
roseus
3 L STR (2 L wv)
Rushton turbine
D: 0.045 m
150 rpm ~5 0.007b Meijer et al.
(1994)
Nicotiana
tabacum
3 L STR (2L wv)
marine propeller
D: 0.045 m
100 rpm ~0.45 0.0002b Ho et al.
(1995)
Papaver 300 L ALR Qg: 0.05 vvm N/A 0.11 Parket al
Multiphase bioreactor design 430