树枝状管网无量纲水力瞬变分析

Non-dimensional Analysis on Hydraulic Transient of Dendritical Pipeline Network

以流体水力瞬变理论为基础,研究了树枝状管网中的水力瞬变问题。应用特征线法,建立了无量纲形式的水力瞬变数学模型。摩阻项按Q2-m考虑,采用有限差分法构造出差分方程,并进行了数值求解。利用计算实例对无量纲流量、波速、管径及管长等影响因素进行了分析,结果表明,任何微小变化都可能引起计算点压力的剧烈变化。

Based on the transient flow dynamics,hydraulic transient of dendritical pipeline network is studied. A non-dimension mathematical model on hydraulic transient of dendritical pipeline network is established by use of characteristic curve method. Considering hydraulic friction in terms of Q2-m and adopting finite difference method, the non-dimensional difference equation is established and solved numerically. The factors affecting transient pressure such as non-dimensional flow rate, acoustic speed of fluid tinner diameter and length of pipeline are analyzed. The results show that any slight variety of the one factor might result in intense change of the pressure of the calculating point.