abstract
- This article aims to investigate the solution of the fractional Troesch's equation that models the mechanism of current generation in porous electrodes by numerical integration of its equivalent power-form representation and by deriving its approximate Taylor series solution. Simulation results compare to experimental data demonstrate that the overpotential distribution and efficiency within a porous electrode, from the bottom to the top of the bed is predicted by using Troesch's fractal overpotential diffusion equation, when the fractal parameter values are ¿ ¿ 1.2618 for a porous electrode that follows the Hausdorff dimension, or ¿ ¿ 1.236 for El Naschie's fractal space-time. © 2020 Elsevier B.V.