A Solution of the Convective-Diffusion Equation for Solute Mass Transfer inside a Capillary Membrane Bioreactor | Zendy

Buntu Godongwana | Zendy; D. Solomons | Zendy; M. S. Sheldon | Zendy

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A Solution of the Convective-Diffusion Equation for Solute Mass Transfer inside a Capillary Membrane Bioreactor

Author(s) -

Buntu Godongwana,

D. Solomons,

M. S. Sheldon

Publication year - 2010

Publication title -

international journal of chemical engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.309

H-Index - 25

eISSN - 1687-8078

pISSN - 1687-806X

DOI - 10.1155/2010/738482

Subject(s) - mass transfer , bioreactor , mechanics , convection , capillary action , membrane , membrane bioreactor , diffusion , chemistry , substrate (aquarium) , convection–diffusion equation , thermodynamics , materials science , physics , biochemistry , oceanography , organic chemistry , geology

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

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