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煤粒瓦斯扩散的理论模型及其解析解
引用本文:聂百胜,郭勇义,吴世跃,张力.煤粒瓦斯扩散的理论模型及其解析解[J].中国矿业大学学报,2001,30(1):19-22.
作者姓名:聂百胜  郭勇义  吴世跃  张力
作者单位:1. 中国矿业大学 能源科学与工程学院,
2. 太原理工大学 矿业工程学院,
基金项目:山西省自然科学基金资助项目(951044)
摘    要: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遇了扩散场随时间的动态特征。该模型包含以往的第一类边界条件下的扩散模型,所以更具广泛性。

关 键 词:瓦斯扩散模型  第三类边界条件  传质毕欧准数  传质傅立叶准数  煤粒甲烷扩散场
文章编号:1000-1964(2001)01-0019-04
修稿时间:2000年6月15日

Through Coal Particles and Its Analytical Solution
NIE Bai-sheng,GUO Yong-yi,WU Shi-yue,ZHANG Li.Through Coal Particles and Its Analytical Solution[J].Journal of China University of Mining & Technology,2001,30(1):19-22.
Authors:NIE Bai-sheng  GUO Yong-yi  WU Shi-yue  ZHANG Li
Affiliation:NIE Bai sheng 1,GUO Yong yi 2,WU Shi yue 2,ZHANG Li 1
Abstract:The mathematical and physical model of gas diffusion through coal particles under the third kindboundary condition was founded and its analytical solution was obtained by mathematical and physicalmethod. The measurement method of gas diffusion parameters was introduced and a measurement examplewas given. The results show that the Biot's criterion of mass transmission can reflect the characteristic of gasdiffusion through coal particles, the Fourier's criterion of mass transmission can represent the dynamic fea-ture of diffusion field varying with time. This model includes the traditional one under the first kind bound-ary condition, so it is of wider significance.
Keywords:gas diffusion model  third kind boundary condition  Biot's criterion of mass transmission  diffu-sion coefficient  Fourier's criterion of mass transmission
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