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本文对表示明渠上、下游水深与流速、佛汝德数之间的关系的经典白兰格(Belanger)方程作了修正,从而导出更接近实际值的近似结果。每当明渠水流从急流转变到缓流吋,总是伴随着形成驻波,也称为水跃。与上、下游水深比值y_2/y_1(见图1)和上游水流平均佛汝德数有关的经典结论,可利用动量原理,並据下面的假定获得:
In this paper, we modify the classical Belanger equation which shows the relation between the depth and the flow velocity of the upper and lower reaches of the open channel, the Froude number, so as to derive the approximate result closer to the actual value. Whenever the open channel flow changes from rapid to slow, it is always accompanied by the formation of standing waves, also known as jerkiness. The classical conclusion related to the upper and lower water depth ratios y_2 / y_1 (see Figure 1) and the average Froude number of the upper stream can be obtained using the momentum principle and is based on the following assumptions: