Numeric Solution of Non-Steady Flow in Single-Fan Mine Ventilation Network
Wei Zou1,2,*, Shuguang Jiang1, 2, Zhengyan Wu1,2
1. State Key Laboratory of Coal Resource & Safe Ming, China University of Ming & Technology, Xuzhou 221116, China
Based on one-dimensional non-steady flow differential equation in roadway, this paper introduced the process of mathematical model of non-steady flow in mine ventilation network. We applied the mathematical model in the mine ventilation with a single-fan and used rigid-body theory and finite difference method to solve the ordinary differential equations to get numerical solutions. In order to ensure the symmetry of the coefficient matrix, we chose co-tree by the inertial coefficient β sizes instead of branch containing fan incorporated into the co-tree. We made use of self-prepared mine ventilation network solution VB software to calculate single-fan ventilation network. After single-fan powered off, it was assumed that the fan air pressure suddenly jumping type change happened, until reduced to zero, and then we simulated the air quantity changes of each branch in the network with MATLAB. The results show that: air quantity of each branch does not have jumping type change, but down to zero gradually with time; based on air quantity versus time curve, the air quantity of each branch can be calculated at any time from fan powered off until the fan stops; the more distance of branch away from the fan, air quantity of branch down to zero needs more time.
Keywords: mathematical model; mine ventilation network; non-steady flow; numerical solution
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