Abstract

A new mathematical model for analyzing hydrogen permeation in solids, in which surface effects and traps influence hydrogen transport, is presented and solved. The new model combines the McNabb and Foster equations for diffusion with concomitant trapping[1] and a surface-limited mass-transfer boundary condition. An important result of the new model is the introduction of a new variable,hm, which is defined as the surface-limited mass-transfer coefficient. Thehm coefficient can account for all possible surface effects and may be experimentally evaluated.

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