Theoretical Analysis of Reaction Kinetics Enzyme Based on Multiphase Flow Transport in the Cell Electrochemical Photo-Bioreactor for Bio-Hydrogen Production

This work describes the entrapped-cell photobioreactor Rhodopseudomonas palustris CQK 01 in a multiphase flow transport model. The model uses two relevant non-linear reaction-diffusion equations to represent the substrate and product concentrations inside the gel granules for biochemical interactions in the photobioreactor. The Akbari-Ganji and homotopy perturbation methods are used to obtain simple approximation analytical expressions for the concentrations, liquid and gas phases in the steady-state condition. The analytical and the numerical results are compared to verify the efficiency. The analytical data and the simulated results agreed well for all concentrations. Furthermore, two limiting scenarios, zero and first-order kinetics, were used, and the results were examined. The parameters in our proposed methods can be utilized to simulate the dynamic performance of a system, as evidenced by the close agreement between the simulated and analytical data.