Jeyabarathi, P.; Abukhaled, M.; Kannan, M.; Rajendran, L.; Lyons, M.E.G. New Analytical Expressions of Concentrations in Packed Bed Immobilized-Cell Electrochemical Photobioreactor. Electrochem2023, 4, 447-459.
Jeyabarathi, P.; Abukhaled, M.; Kannan, M.; Rajendran, L.; Lyons, M.E.G. New Analytical Expressions of Concentrations in Packed Bed Immobilized-Cell Electrochemical Photobioreactor. Electrochem 2023, 4, 447-459.
Jeyabarathi, P.; Abukhaled, M.; Kannan, M.; Rajendran, L.; Lyons, M.E.G. New Analytical Expressions of Concentrations in Packed Bed Immobilized-Cell Electrochemical Photobioreactor. Electrochem2023, 4, 447-459.
Jeyabarathi, P.; Abukhaled, M.; Kannan, M.; Rajendran, L.; Lyons, M.E.G. New Analytical Expressions of Concentrations in Packed Bed Immobilized-Cell Electrochemical Photobioreactor. Electrochem 2023, 4, 447-459.
Abstract
In this paper, Akbari-Ganji's and Taylor series methods are applied to find analytical solutions to nonlinear differential equations that arise in an immobilized-cell photobioreactor. Approximate analytical expressions for substrate and product concentrations and both liquid and gas phases for various parameter values are derived using both methods. Efficiency, accuracy, and convergence of the two methods relative to highly accurate numerical methods are investigated to establish reliable profiles of these two methods for solving general nonlinear equations that model various physical phenomena. Numerical simulations are presented to validate the theoretical investigations.
Keywords
reaction-diffusion; immobilized-cell; mathematical modeling; analytical solution; Akbari-Ganji method; Taylor series method; electrochemical photobioreactor
Subject
Chemistry and Materials Science, Electrochemistry
Copyright:
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