示踪气体测风方法有关理论问题的研究

基于对示踪气体在巷道中移流扩散过程的3阶段分析，借助于时间连续点源在无限空间中三维和一维扩散模型的解析解，利用像源法原理，获得了巷道周壁固体边界只有完全反射的三维扩散解析解，并确定了示踪气体在巷道中弥散的最短均匀混合距离和最短稳定时间．结果表明，在巷道水力半径和摩擦阻力系数一定的情况下，随着巷道风速的增大，最短均匀混合距离呈线性增加，最短稳定时间呈负幂函数衰减；在巷道水力半径和风速一定的情况下，随着巷道摩擦阻力系数的增大，最短均匀混合距离呈负幂函数减小，最短稳定时间呈多指数函数叠加变化．

Theoretic Research Related to the Method of Measuring Air Quantity by Means of a Tracing Gas

An analytical solution of one-and three-dimensional diffusion models in an unbounded space about a time-continuous point source and the method of image interference were used to study three-dimensional diffusion in roadway air with a fully reflecting boundary wall. The shortest fully-mixed distance and its stabilizing time were determined for dispersion of the tracing gas in the roadway air. If the hydraulic radius and friction coefficient are kept constant, the shortest fully-mixed distance increases linearly, and the time to reach equilibrium decreases by a negative power, with an increase in airflow velocity. The shortest fully-mlxed distance decreases by a negative power, and the time to reach equilibrium follows a power law function, with an increase in the friction factor when the hydraulic radius and airflow velocity are constant.