Novel analytical expression of concentrations of redox components in the new autocatalytic mechanism: The hyperbolic function method

Abstract

A theoretical study of the new autocatalytic mechanisms (EC″) for irreversible homogeneous reaction on diffusion layer for steady-state conditions is provided. Emerging uses for this reaction system include energy recovery from surplus hydrogen and chloride reaction in hydrogen-halogen direct and regenerative fuel cells. The modelling of these mechanisms consists of solving the nonlinear diffusion equations. This paper uses a simple and new analytical procedure, the hyperbolic method, to solve the nonlinear reaction-diffusion equations. The concentration of redox components and the current response are expressed in closed-form as function reaction parameters, as well as the ratio of diffusion layer and reaction layer thickness. Analytical outcomes are compared with numerically simulated results to validate the model. Predictions of theoretical concentrations and Matlab-based numerical results show satisfactory agreement. These analytical findings enhance the comprehension of system behaviour. The system's parameters are optimised using the results of the analysis.

Keywords

• A69
• 74F25
• 34G20
• 35B30
• 35K57