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Title: A solution of the convective-diffusion equation for solute mass transfer inside a capillary membrane bioreactor
Authors: Godongwana, Buntu 
Solomons, D 
Sheldon, Marshall Sheerene 
Issue Date: 2010
Publisher: Hindawi Publishing Corporation
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 anMBR.
Appears in Collections:Eng - Journal Articles, Faculty of Engineering

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