煤粒瓦斯扩散的理论模型及其解析解

Theoretical Model of Gas Diffusion Through Coal Particles and Its Analytical Solution

建立了第三类边界条件下的煤粒瓦斯扩散的物理数学模型 ,用数学物理方法求出了其解析解 ,并测算了煤粒瓦斯扩散参数 .分析结果表明 ,传质毕欧准数反映了煤粒瓦斯扩散场的特点 ,传质傅立叶准数则反映了扩散场随时间变化的动态特征 .该模型包含以往研究的第一类边界条件下的扩散模型 。

The mathematical and physical model of gas diffusion through coal particles under the third kind boundary condition was founded and its analytical solution was obtained by mathematical and physical method. The measurement method of gas diffusion parameters was introduced and a measurement example was given. The results show that the Biot’s criterion of mass transmission can reflect the characteristic of gas diffusion through coal particles, the Fourier’s criterion of mass transmission can represent the dynamic feature of diffusion field varying with time. This model includes the traditional one under the first kind boundary condition, so it is of wider significance.