Non--dimensional analysis of electrochemical governing equations of lead--acid batteries

Abstract

In the present study, a new set of dimensionless coefficients is introduced through non-dimensionalization of electrochemical equations of lead-acid batteries. Non-dimensionalization process has been applied to the electrochemical governing equations including conservation of charge in solid and electrolyte, and conservation of species to derive the non-dimensional model. Four novel dimensionless coefficients of electrode conductivity, electrolyte conductivity, diffusional conductivity of species, and diffusion coefficient are derived from the dimensionless model. The identified model is validated using comparison of experimental data obtained from two lead-acid batteries. Finally, shown results indicate that the non-dimensional model is in fairly good accordance with data obtained from experiments, moreover, dimensionless coefficients are useful for comparing purposes and analysis of electrochemical processes.