(28)
whereas the substrate concentration after a single-pass, Sn, is given by:
(29)
Qr being the recirculation flow rate.
Table 7.4 Relation of the protein adsorbed and the
membrane resistance to the flux permeation
t(h) ProtR
(mg)
Protp
(mg)Protads
(mg)*Qp
(ml/min)J
(ml/min.cm^2 )R memb
(Kgm−^2 s−^1 .10–(^4) )
Rprot
(Kgm−^2 s−^1 .10−^4 )
Rtotal
0.5 10.9 3.15 – 1.167 0.0307 254 0 254
3 8.64 0.661 0.33 0.933 0.0246 254 63.0 317
4 8.38 0.956 0.59 0.900 0.0237^254 75.1 329
6 6.87 1.10 2.10 0.833 0.0219 254 102 356
10 3.91 0.965 5.06 0.700 0.0184 254 170 424
14 3.60 1.12 5.37 0.600 0.0158^254 240 494
24 1.85 1.35 7.12 0.467 0.0123 254 380 634
30 0.80 2.50 8.17 0.467 0.0123 254 380 634
34 0.649 0 8.32 0.467 0.0123 254 380 634
48 1.08 0.649 7.89* 0.450 0.0123 254 380 634
Protads=Protinic-Protr-Protpaverage, with Protpaverage=1.03 mg.
**The average value of 8.13 mg of cutinase was used.
This leads to:
(30)
If the conversion obtained in a single-pass is lower than 1%, then the reactor has
characteristics of a differential reactor where high recirculation velocities lead to low
conversion rates. This permits classification of the membrane reactor as a differential
reactor, which in a continuous operation would behave as a CSTR (continuous stirred
tank reactor).
The number of cycles, N, in the total recirculation is defined as follows:
(31)
Multiphase bioreactor design 216