Rotating hydraulics of flow in a parabolic channel
Rotating hydraulics of flow in a parabolic channel
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抛物线通道中流动的旋转水力学
DOI：
10.1017/s0022112086002835
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发表时间：
1986
影响因子：
3.7
通讯作者：
P. Lundberg
中科院分区：
文献类型：
--
作者：
K. Borenäs;P. Lundberg
Gill(1977)关于有限上游深度对旋转箱形通道中无摩擦流动的影响的研究已扩展到考虑抛物线几何。除了在地球物理上更加逼真外，这种具有连续倾斜横向边界的地形还有一个优点，那就是它产生了统一的解决方案。与矩形渠道的情况不同，不可能发生从人行道上分离出地理平衡的下行渠道的水流。由此产生的代数问题可以使用迭代技术或通过构造扰动级数解来解决。从分析中得出的最重要的结果之一是，经典的液压控制概念仅适用于控制问题的有限范围的参数。最后认为，这种解的行为并不是由于特定的几何形状的选择，而是代表了以连续倾斜的跨河底剖面为特征的所有地形的共同特征。
The investigation of Gill (1977) on the effects of a finite upstream depth upon frictionless flow through a rotating box-like channel has been extended to take into account a parabolic geometry. In addition to being more geophysically realistic, this type of topography with continuously sloping lateral boundaries has the advantage that it yields a unified solution. In contrast to the case of a rectangular channel, no separation of the geostrophically balanced downchannel flow from the sidewalk can take place. The resulting algebraic problem can be resolved either using an iterative technique or by the construction of perturbation series solutions. One of the most important results to emerge from the analysis is that the classical concept of hydraulic control is only applicable for a limited range of the parameters governing the problem. It is finally argued that this behaviour of the solutions is not due to the specific choice of geometry, but rather represents a common feature for all topographies characterized by a continuously sloping cross-stream bottom profile.