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该文针对城市排水管网系统存在的明满流共存的计算难点,从一维水流的圣维南方程组的物理意义入手,推导了适用于有压管流的方程组表达形式,提出了当量宽度的概念和计算方法,修正了Preissmann窄缝假定方法中的窄缝宽度公式,将明渠和有压管道两种情况下的方程组写成统一的形式,实现了对明满过渡流的有效数值模拟。通过数学模拟,与经验数据和SWMM模型的对比验证,揭示了当量宽度法的合理性、可行性及其实际应用价值。
According to the calculation difficulty of coexistence of open and full flow existing in urban drainage network system, this paper derives the expression form of equations suitable for pressurized pipe flow based on the physical meaning of Saint-Venant equations of one-dimensional water flow, The concept of width and the method of calculation are used to modify the formula of slit width in preissmann narrowing method. The equations of open channel and pressurized pipe are written into a unified form, which can realize the effective numerical simulation . By mathematical simulation, comparison with empirical data and SWMM model, it reveals the rationality, feasibility and practical value of equivalent width method.