A mathematical model is developed to describe the performance of a three-ph
ase fluidized bed reactor utilizing a transverse magnetic field. The model
is based on the axially dispersed plug flow model for the bulk of liquid ph
ase and on the Michaelis-Menten kinetics. The model equations are solved by
the explicit finite difference method from transient to steady state condi
tions. The results of the numerical simulation indicate that the magnetic f
ield increases the degree of bioconversion. The mathematical model is exper
imentally verified in a three-phase fluidized bed reactor with Penicillium
chrysogenum immobilized on magnetic beads. The experimental results are wel
l described by the developed model when the reactor operates in the stabili
zed regime. At low and relatively high magnetic field intensities certain d
iscrepancy in the model solution is observed when the model over estimates
the product concentration.