Diffusion evolution of a pore in bounded particle in a hydrogen atmosphere

TL;DR

This paper models the diffusion-driven evolution of a hydrogen-filled pore within a spherical particle, revealing two distinct stages: rapid pressure equalization and slow pore healing.

Contribution

It introduces a nonlinear system of equations to describe pore size, gas amount, and position dynamics in a hydrogen atmosphere.

Findings

Two-stage pore evolution identified: fast pressure equalization and slow healing.

Numerical solutions confirm the existence of these two distinct stages.

Model provides insights into pore behavior in hydrogen environments.

Abstract

The problem of the diffusion evolution of a pore filled with molecular hydrogen in a spherical granule in a hydrogen medium is solved. The initial position of the pore is displaced relative to the center of the granule. A nonlinear system of equations is obtained, which describes the behavior of the size of the gas-filled pore, the amount of gas in it and its position relative to the center of the bounded particle with time. Numerical calculations have shown the existence of two stages of evolution. The first (fast) stage is associated with the equalization of pressure in the pore with the external. The second is the slow diffusion "healing" of the pore, when the amount of gas adjusts to its size and the gas pressure is approximately equal to the external.