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In the present study, a new set of dimensionless coefficients is introducedthrough non-dimensionalization of electrochemical equations of lead-acidbatteries. Non-dimensionalization process has been applied to theelectrochemical governing equations including conservation of charge in solidand electrolyte, and conservation of species to derive the non-dimensionalmodel. Four novel dimensionless coefficients of electrode conductivity,electrolyte conductivity, diffusional conductivity of species, and diffusioncoefficient are derived from the dimensionless model. The identified model isvalidated using comparison of experimental data obtained from two lead-acidbatteries. Finally, shown results indicate that the non-dimensional model is infairly good accordance with data obtained from experiments, moreover,dimensionless coefficients are useful for comparing purposes and analysis ofelectrochemical processes.

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