In various biotechnological processes such as biodegradation of toxic organic compounds, microorganisms are immobilized on inert carriers. Three-phase fluidized-bed bioreactors and airlift apparata are examples of devices in which microorganisms are immobilized as a thin layer of biomass on fine pellets. Due to a spherical shape of the carrier, the resultant layer of microorganisms has also spherical geometry. In the paper, a quantitative assessment has been made of numerical methods for determining the distributions of reagent concentrations and the effectiveness factors of a biofilm in the form of spherical layers. Calculations have been done for aerobic biodegradation of phenol.
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