A mathematical model is developed to describe the performance of a three-ph
ase airlift reactor utilizing a transverse magnetic field. The model is bas
ed on the complete mixing model for the bulk of liquid phase and on the Mic
haelis-Menten kinetics. The model equations are solved by the explicit fini
te difference method from transient to steady state conditions. The results
of the numerical simulation indicate that the magnetic field increases the
degree of bioconversion. The mathematical model is experimentally verified
in a three-phase airlift reactor with P. chrysogenum immobilized on magnet
ic beads. The experimental results are well described by the developed mode
l when the reactor operates in the stabilized regime. At relatively high ma
gnetic field intensities a certain discrepancy in the model solution was ob
served when the model over estimates the product concentration. (C) 2001 El
sevier Science B.V. All rights reserved.