In this study, we develop a multi-dimensional model of lithium-air (Li-air) batteries to evaluate their performance. The model consists of a set of partial differential equations of species and charges conservation, in conjunction of the electrochemical reaction kinetics at the reaction interface, and takes into account two major mechanisms of voltage loss due to insoluble discharge products formation: namely, electrode passivation and increased oxygen transport resistance. The model is successfully implemented to numerical simulation of discharging operation of a two-dimensional Li-air battery. Highly non-uniform distributions of oxygen and insoluble products are revealed under high current density. The pore space in the electrode is not fully utilized, particularly under high discharging current operation. The fundamental model and numerical tool are important for developing high-performance Li-air batteries.

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