A Model for Discharge of Storage Batteries

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Abstract
The common porous electrode model has been rederived to include the transformation of one solid phase into another, for example, lead into lead sulfate. Differential mass balances for the solid porous reactant and the solid product yielded new dimensionless groups which characterize the structural changes that occur during discharge or charge of storage batteries. Effects of fraction of active material, exchange current and molar density ratios on overpotential at a constant current were investigated numerically. The trends agree well with the empirical correlation of Shepherd.

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