A multiphysics P2D framework for predicting induced polarization and transport–kinetics coupling in Cu/Zn cells with floating bipolar electrodes
Abstract
This study develops a coupled multiphysics framework to investigate induced polarization, ionic transport, and interfacial electrochemical kinetics in a modified Cu/Zn cell containing an immersed bipolar electrode. A pseudo-two-dimensional (P2D) model combines charge conservation, Nernst–Planck species transport, and Butler–Volmer kinetics within a fully coupled numerical scheme to resolve spatial variations in electric potential, ionic concentration, and reaction-rate distributions. Following established bipolar-electrochemistry principles, the immersed conductor is treated as an electrically floating electrode whose potential is determined self-consistently by the surrounding electric field and global current balance. The present contribution lies in integrating this treatment with coupled transport–kinetics analysis, geometry-dependent response, and experimentally grounded validation within a unified Cu/Zn configuration. A problem-specific dimensionless reaction–diffusion competition parameter, Π, analogous to established Damköhler-type scaling concepts, is employed to distinguish transport-sufficient, mixed/transition, and transport-stressed regimes according to the balance between Faradaic ionic demand and diffusive replenishment. Point-by-point comparison with discrete electrochemical impedance spectroscopy measurements across four cell configurations yields a mean absolute percentage error of 4.8%, a root-mean-square error of 1.06 Ω, and R 2 =0.982, with configuration-specific deviations up to 7.1%. These results demonstrate that the framework captures the coupled influence of induced polarization, mass-transport limitations, and electrode configuration with good quantitative fidelity while preserving realistic experiment–model discrepancies. Overall, the model provides a physically consistent platform for mechanistic interpretation and design-oriented analysis of bipolar electrochemical systems employing wireless redox control.