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Analytical Solution of Non-Linear Equation in Multi-Phase Microchannel Bioreactors

( Vol-3,Issue-9,September 2016 ) OPEN ACCESS
Author(s):

M.Kirthiga, M. Chitra Devi, L.Rajendran, M.Sivasankari

Keywords:

Mathematical modelling, Bioreactors, Immobilization of Gluconobacter, New homotopy perturbation method, Reaction/Diffusion equation.

Abstract:

A theoretical 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 new approach of homotopy perturbation method (NHPM) to solve the non-linear reaction/diffusion equation.

ijaers doi crossref DOI:

10.22161/ijaers/3.9.22

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