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。
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.
出处
《水科学进展》
EI
CAS
CSCD
北大核心
2004年第6期717-722,共6页
Advances in Water Science
基金
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)~~
关键词
管道
瞬变流
滞留气团
水锤
刚性模型
pipe
transient flow
trapped air mass
water hammer
rigid model
