1. A Solution of the Convective-Diffusion Equation for Solute Mass Transfer inside a CapillaryMembrane Bioreactor.
- Author
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Godongwana, B., Solomons, D., and Sheldon, M. S.
- Subjects
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MASS transfer , *BIOREACTORS , *QUANTUM perturbations , *BIOLOGICAL products , *MICROBIAL aggregation , *BIOMASS chemicals , *CHEMICAL kinetics , *BIOFILMS , *HYDRAULICS - Abstract
This paper presents an analytical model of substrate mass transfer through the lumen of a membrane bioreactor. The model is a solution of the convective-diffusion equation in two dimensions using a regular perturbation technique. The analysis accounts for radial-convective flow as well as axial diffusion of the substrate specie. The model is applicable to the different modes of operation of membrane bioreactor (MBR) systems (e.g., dead-end, open-shell, or closed-shell mode), as well as the vertical or horizontal orientation. The first-order limit of the Michaelis-Menten equation for substrate consumption was used to test the developed model against available analytical results. The results obtained from the application of this model, along with a biofilm growth kinetic model, will be useful in the derivation of an efficiency expression for enzyme production in an MBR. [ABSTRACT FROM AUTHOR]
- Published
- 2010
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