Abstract
A mathematical and transient model was developed for the case of a neutral species penetrating an ionomer. It is assumed that transport in the gas or liquid water phases is rate determining. A limited number of equations are used to ensure that the model has an analytic solution. These equations include Fick's first law, a distribution of the neutral species between the gas/liquid phases and the ionomer phase described by a separation factor, a neutral species in the ionomer mass balance, an empirical relationship between the ionomer conductivity and the equivalent foreign neutral species mole fraction in the ionomer phase, and a cell voltage balance. Both separation factor and conductivity relations were experimentally validated. The model solution shows that the dimensionless current density reaches a steady state, recovery is eventually complete after removing the contaminant source, and, contamination and recovery time scales are equal.
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