On reduced-gravity flow through sills

On reduced-gravity flow through sills
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流过门槛的减重流

DOI:
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发表时间:
1994
期刊:
影响因子:
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通讯作者:
P. Killworth
P. Killworth
中科院分区:
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文献类型:
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作者:
P. Killworth

文献摘要

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摘要研究了具有非负位涡的减重力流体通过底坎的水力流动。它示出,对于任何流动与电流的反转,另一个,物理上可实现的,存在的流动是单向的和/或休息,并进行更多的流量比原来的流量。因此,在检查最大水力通量时,只需要考虑非负流。然后,对于一个简单的窗台(一个向下倾斜的左边和向上的右边,看下游),它表明,零位涡流,可能修改有一个区域的静止流体在其右侧,进行最大的通量可能的窗台形状。这使得一个给定的窗台的最大通量的计算相当简单,抛物线和V形窗台的例子进行了计算。
Abstract The hydraulic flow of a reduced-gravity fluid of non-negative potential vorticity through a sill is considered. It is shown that for any flow with a reversal of current, another, physically realisable, flow exists which is unidirectional and/or resting, and carries more flux than the original flow. Thus only non-negative flows need be considered when examining maximal hydraulic fluxes. Then, for a simple sill (one which slopes downward on the left and upward on the right, looking downstream), it is shown that zero potential vorticity flow, possibly modified by having a region of motionless fluid at its right, carries the maximum flux possible for that sill shape. This makes the calculation of maximal fluxes for a given sill considerably simpler, and examples of parabolic and V-shaped sills are computed.