城市给水管网恒定流和瞬变流数学模型研究  

The Study on Steady Flow and Transient Flow Mathematical Models for City's Water Distribution Pipeline Network

作　　者：汪守东[1] 沈永明[1] 姜恒志[1] 

机构地区：[1]大连理工大学海岸和近海工程国家重点实验室,辽宁大连116023

出　　处：《中国工程科学》2007年第12期26-30,共5页Strategic Study of CAE

基　　金："九七三"国家重点基础研究发展计划资助项目(2005CB724202)

摘　　要：首先基于节点方程法,建立了给水管网恒定流数学模型,并采用经改进的牛顿迭代法实现了对模型的求解;其次由特征线法建立了给水管网瞬变流数学模型,可预测管网运行中出现的有害水击,并求得可能出现的最大(最小)水压及其相应发生的位置。实例研究表明,建立的模型是可靠的,且具有计算速度快、精度高等优点,可以用于城市给水管网的水力平衡数值模拟研究和为设计者防护水击所采取的措施提供理论依据。Firstly, based on node equation method, a water distribution pipeline network steady flow mathematical model is established and is solved by using the Newton iteration method. Secondly, the mathematic model for transient flow set up by characteristic method can be used to forecast the harmful water hammer occurring in operation of the system, and to find the possible occurrence of the maximum （minimum） hydraulic pressure and their corresponding happened place. Sample shows that they are reliable models which have excellent computing efliciency and high order. The results are that these models can be applied to hydraulic balance calculation for city＇s water distribution pipeline network and provide the theoretic basis for designer to adopt measures preventing from water hammer.

关 键 词：给水管网 恒定流 瞬变流 水击 牛顿迭代法 

分 类 号：TU821.3[建筑科学]