On nonlinear simple waves in alluvial river flows: a theory for sediment bores

On nonlinear simple waves in alluvial river flows: a theory for sediment bores
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DOI:
10.1098/rsta.1991.0002
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发表时间:
1991-01
期刊:
Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences
影响因子:
--
通讯作者:
D. Needham;R. Hey
D. Needham;R. Hey
中科院分区:
其他
文献类型:
--
作者:
D. Needham;R. Hey

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在均匀的冲积流中,上游泥沙排放率的增加往往导致形成稳定的、传播的泥沙孔。本文研究了冲积河流或渠道中流动积分守恒律的间断简单波解。我们得到了一个家庭的解决方案,参数化的上游排沙率,qL,和下游Eroude数,FO,这代表稳定的泥沙孔。结果表明,该解只存在于(FO,qL)平面的一个有限区域内,并在此区域内,它们的性质推导。在水槽中实验性地产生沉积物孔并进行测量。测量结果和理论预测之间的一致性令人鼓舞。
An increase in the upstream sediment discharge rate in an otherwise uniform alluvial flow often leads to the formation of a stable, propagating sediment bore. In this paper we study discontinuous simple wave solutions of the integral conservation laws governing flows in alluvial rivers or channels. We obtain a family of solutions, parametrized by the upstream sediment discharge rate, qL, and the downstream Eroude number, FO,which represent stable sediment bores. It is shown that the solutions exist only in a restricted region of the(FO, qL) plane, and within this region, their properties are derived. A sediment bore is generated experimentally in a flume and measurements are made. The agreement between the measurements and the predictions of the theory is encouraging.