单风机矿井通风网络非稳定流动模型及MATLAB数值模拟

Mathematical Model and Its MATLAB Numerical Simulation of Non-Steady Flow in Single-Fan Mine Ventilation Network

根据井巷风流一维非稳定流动的微分方程和巷道内风流非稳定流动的数学模型,基于矿内空气动力学和矿井通风网络理论,建立了单风机矿井通风网络非稳定流动的数学模型。应用刚体理论和有限差分法,对模型进行求解,并利用MATLAB模拟了风机切断电源后分支风量的变化,得到了分支风量随时间变化的曲线。

According to the mine ventilation aerodynamics and network theory,one-dimensional non-steady flow differential equation in roadway was derived.Mathematical model of non-steady flow in single-fan mine ventilation network was established.Based on rigid-body theory and finite difference method,we used Runge-Kutta method to solve the ordinary differential equations.In ventilation network optimization by the inertial coefficient β sizes to choose co-tree,after single-fan powered off,using MATLAB to simulate the air quantity changes of each branch in the network,we got air quantity of all branches versus time curve,the curve shows it does not occur sudden hop changes.According to the model,the air quantity of each branch can be calculated at any time from main fan powered off until the fan stops.