A. Tanyolac et H. Beyenal, EFFECTIVENESS FACTOR FOR A HOLLOW-FIBER BIOFILM REACTOR AT MAXIMUM SUBSTRATE CONSUMPTION, Chemical engineering journal and the biochemical engineering journal, 62(2), 1996, pp. 149-154
In this work, a model was proposed to evaluate the effectiveness facto
r of a hollow-fiber biofilm reactor (HFBR) for optimum biofilm densiti
es, to achieve a maximum substrate consumption rate. The effectiveness
factor was calculated for selected lumen concentrations using a cell-
density-dependent effective diffusion coefficient, Monod biokinetics a
dapted for maintenance, and a minimum substrate concentration concept
for biofilm activity in the model, a different approach from that in t
he literature. The solution of the continuity equation revealed an opt
imum biofilm density and active biofilm thickness, corresponding to a
maximum substrate consumption rate within the biofilm. The optimum bio
film density decreased with increasing lumen substrate concentrations,
while the maximum substrate consumption rate and active biofilm thick
ness parabolically increased, as experimentally observed in the litera
ture. Meanwhile, an interesting descending trend of the effectiveness
factor at optimum biofilm density was observed at low lumen substrate
concentration and biofilm thickness values for different radial flow r
ates.