深井充填体传热计算模型及其解析解
Calculation model and analytical solution of heat transfer in filling body of deep mines
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摘要: 深部矿井热害问题日益突出，尤其是采用充填采矿法的深部矿井。为了解决深井充填体的传热计算问题，建立了深井充填体有内热源的一维非稳态的传热模型，内热源为充填体中水泥的水化热。运用格林函数法，对传热方程进行了求解，推导出深井充填体温度场的解析表达式，解析表达式是初始条件、边界条件及充填体水泥水化热对温度场的影响的叠加。
该理论解析表达式反映出充填体的温度分布是位置毕渥数(Bi)和傅里叶数(FO)的函数。推导出深井充填体的工程简化计算式，提供了计算充填体温度场分布和传热量的快速、准确且有效的方法。以某矿的充填体为例，应用本研究提出的深井充填体传热的工程简化式进行了充填体温度场的计算分析，分析结果表明：随着充填体位移的增加，温度逐渐降低，充填体顶部温度接近工作面风流温度。Abstract: Heat hazards are becoming increasingly severe for underground mines worldwide, especially for deep mines using the cemented paste backfill (CPB) technology. In order to solve the heat transfer calculation problem, a one-dimensional unsteady state heat transfer model with internal heat source was established for filling body of deep mines. In this model, the cement hydration in CPB was considered as an internal heat source. Using the Green’s function method, the heat transfer equation was solved, and the analytical expression of the temperature field of filling body of deep mines was derived. Specifically, the impacts of initial condition, boundary condition and the cement hydration heat on the temperature distribution were combined based on the principle of superposition, through which the final analytical formula was derived. The resulting theoretical formula revealed that the temperature distribution in CPB was a function of location, Biot number (Bi) and Fourier number (FO). The engineering simplified calculation formula of filling body of deep mines was derived, which provides a fast, accurate and effective method for calculating the temperature field distribution and heat transfer of the filling body. The analysis results show that: as the displacement of the filling body increases, the temperature gradually decreases. The temperature at the top of the body is close to the airflow temperature of the working face.-
Keywords:
- deep mines /
- filling body /
- non-stationary heat transfer /
- Green’s function /
- temperature field
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期刊类型引用(4)
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百度学术
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