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水流冲击管道内滞留气团的刚性数学模型
引用本文:刘德有,索丽生.水流冲击管道内滞留气团的刚性数学模型[J].水科学进展,2004,15(6):717-722.
作者姓名:刘德有  索丽生
作者单位:河海大学水利水电工程学院, 江苏, 南京, 210098
基金项目:国家自然科学基金资助项目(50179008),教育部高校博士点专项科研基金资助项目(20010294006)~~
摘    要:通过数学分析证明,在不计局部水头损失时,目前常用的几种简化刚性数学模型的最大气压计算结果相等,并与管道内初始充水段长度无关。但算例表明,对于初始充水段较短或滞留气团体积很小情况,这些简化模型的计算误差将达到不容忽视的程度,甚至导出错误结论。笔者导出的完整刚性数学模型,弥补了简化模型的不足,同时指出了刚性模型的理论缺陷和适用条件。

关 键 词:管道    瞬变流    滞留气团    水锤    刚性模型
文章编号:1001-6791(2004)06-0717-06
收稿时间:2003-06-15
修稿时间:2003年6月15日

Rigid model for transient flow in pressurized pipe system containing trapped air mass
LIU De-you,SUO Li-sheng.Rigid model for transient flow in pressurized pipe system containing trapped air mass[J].Advances in Water Science,2004,15(6):717-722.
Authors:LIU De-you  SUO Li-sheng
Institution:College of Water Conservancy & Hydroelectric Engineering, Hohai University, Nanjing 210098, China
Abstract:The mathematical analysis shows that, with disregarding local head losses and by means of different simplified rigid models, the calculated results of the maximum pressure in a pressurized pipe system containing trapped air mass are equal to and independent of the initial length of the water-column. However, the calculation examples in this paper indicate that, if the initial water-column length is relatively short or the volume of the trapped gas is very small, the calculation error may be significant and even leads to a false conclusion.Therefore a complete rigid model is then presented in this paper, along with its theoretical limitation and suitable application terms.
Keywords:pipe  transient flow  trapped air mass  water hammer  rigid model
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