摘要
针对采空区瓦斯与空气混合气三维非线性渗流及扩散传质问题，考虑混合气密度不均匀及重力作用下的上浮因素，建立了三维采空区内变密度混合气非线性渗流及扩散运动的基本方程组．通过数学变换，得出该方程组的相容耦合可解方程组，并用Ｇａｌｅｒｋｉｎ有限元法和上游加权技术对其求解．文末，介绍了可解方程组的相容耦合迭代求解过程和算例．
Aiming at the problem of three-dimensional nonlinear infiltration and diffusion conduction of variable density air and methane mixed-gas in gob and considering methane ascension induced by its uneven density and graving action, the author has formed a set of equations for the nonlinear infiltration and diffusion movement of the variable density mixed-gas in threedimensional gob. Through mathematic conversion, its compatible coupled solvable equations have been obtained, and the Galerkin’s finite element solution and the upwind weighted scheme are used to solve them. Finally, the compatible-coupling repetitive process of the solvable equations and a calculating example are introduced.
出处
《中国矿业大学学报》
EI
CAS
CSCD
北大核心
1996年第3期21-26,共6页
Journal of China University of Mining & Technology
基金
煤炭科学基金
关键词
采场通风
非线性渗流
扩散传质
有限元
混气运动
face ventilation, nonlinear infiltration, diffusion conduction of quality, fluid finite element
