Internal filtration in slurry bubble columns offers a possible solutio
n to the filtration problems related to this reactor type. The applica
bility of the concept has already been demonstrated at full-scale for
wastewater treatment, even though a theoretical description of interna
l filtration is lacking. Two types of hydrodynamic models were develop
ed for a filtering slurry reactor. Both the model of the surface renew
al type and the model based on a force-balance approach predict that t
he solids concentration at the axial position of the filter uniquely d
epends on a single novel dimensionless number. The validity of these t
heories was demonstrated by measuring filter-cake resistance as an ind
irect measure of solids concentration for a system in batch operation
with respect to solids. In the experiments the load of solids, permeat
e flux (J), superficial gas velocity (U-g), particle diameter (d(p)),
kinematic liquid viscosity (v(l)), and molar mass of the gas were vari
ed.