• MATHEMATICAL MODEL FOR MULTI-PHASE MICROCHANNEL BIOREACTORS

T. Praveen, L. Rajendran*

Abstract


A mathematical model of multi-phase microchannel bioreactor is presented. Further, the effect of oxygen diffusion on the concentration profile and effectiveness response was examined. Analytical expression pertaining to the oxygen concentration profile and effectiveness responses was reported for all possible values of reaction diffusion parameter and the saturation parameter . These analytical results were found to be in good agreement with numerical simulations. Moreover, herein we employ Adomian decomposition method (ADM) to solve the non-linear reaction/diffusion equation.

Keywords


Bioreactors, Immobilization of Gluconobacter; Adomian decomposition method, Reaction/Diffusion equation, Mathematical modeling.

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