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.
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.
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.
Citation: 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.

水流冲击管道内滞留气团的刚性数学模型

Rigid model for transient flow in pressurized pipe system containing trapped air mass

  • 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。

     

    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.

     

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