Gas-filled pore in bounded particle

TL;DR

This paper investigates the diffusive evolution of gas-filled pores within bounded particles, deriving nonlinear equations, analytical solutions, and comparing them with numerical results to understand pore behavior.

Contribution

It introduces a nonlinear equation set for gas-filled pore evolution in bounded particles and provides analytical solutions for different pore sizes, validated by numerical comparisons.

Findings

Analytical solutions for small and large pores are derived.

Characteristic behaviors of gas-filled pores are identified.

Comparison shows good agreement between analytical and numerical results.

Abstract

The diffusive evolution has been studied of gas-filled pore has in a bounded particle in gas media. The nonlinear equation set, describing the behaviour of gas-filled pore on bounded particle is obtained. Asymptotic modes are considered for evolution of small and large pores. Analytical solutions are obtained in asymptotic modes. The comparison is conducted of these solutions with results of numerical solution of complete equation set. The characteristic regularities of gas-filled pore behavior are found at arbitrary pore position relative to matrix particle center.