Mathematical Model and Numeric Solution of Non-Steady Flow in Mine Ventilation Network

摘要

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 mine ventilation network was established.Based on rigidbody theory and finite difference method,we used Runge-Kutta method to solve the ordinary differential equations.In ventilation network optimization by the inertial coefficient p 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.