根据巷道围岩散热的特点,建立了非稳态围岩导热微分方程,运用有限体积法对方程进行了处理。引入无因次准数,对导热微分方程及运用有限体积法进行离散处理后的方程进行无因次分析。通过编写VisualBasic计算机程序对方程进行解算,得到巷道围岩内部在不同时间点下不同节点处的温度变化曲线、不同毕渥数时不同时间点下的巷道壁面温度和不稳定换热准数曲线。通过查图得到不稳定换热准数,进而可以计算一定长度的巷道围岩散热量。
According to the characteristics of heat dissipation from surrounding rock in roadway, a differential equation for heat conduction was established for unstable surrounding rock with finite-volume method. Dimensionless analysis was made for equations by introducing dimensionless criterion. Afterwards, equation solving with Visual Basic language led to a temperature variation curve for different position of the surrounding rock at different time point. The temperature of the roadway wall at different time under different Bi, as well as variation curve of unstable heat transfer criterion were all obtained. Afterwards, with the unstable heat transfer criterion, the heat dissipation from surrounding rock of a certain length of roadway can be calculated.