Abstract This paper presents the mathematical models describing the diffusion of carbon-dioxide in concrete with considering the effect of concrete carbonation. The effect of concrete carbonation on carbon-dioxide diffusion is modelled by using a sink term added in the diffusion equation. It is shown that, when the carbonation reaction is much faster than the diffusion process, the diffusion of carbon-dioxide in carbonated concrete can be treated as the diffusion problem with a moving boundary, representing the diffusion front or the carbonation depth. An analytical solution is also derived for the diffusion problem with moving boundary.

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具有移动边界的混凝土碳化数学模型

摘要 本文在考虑混凝土碳化作用的情况下，提出了描述二氧化碳在混凝土中扩散的数学模型。混凝土碳化对二氧化碳扩散的影响是通过使用扩散方程中添加的汇项来模拟的。结果表明，当碳化反应比扩散过程快得多时，二氧化碳在碳化混凝土中的扩散可以被视为具有移动边界的扩散问题，代表扩散前沿或碳化深度。还推导出具有移动边界的扩散问题的解析解。