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基于最大熵定理的弯道轴线水位模拟

周升龙,沈欣菲,滕晓敏   

  • 出版日期:2020-06-28 发布日期:2020-06-28

Simulation of water level at spillway bend axis based on maximum entropy theory

ZHOU Shenglong, SHEN Xinfei, TENG Xiaomin   

  • Online:2020-06-28 Published:2020-06-28

摘要: 为研究明渠弯道水流中轴线的沿程水位分布特征,以物理模型试验的数据为基础,构建了基于最大熵定理的数学模型进行分析。结果表明:当弯道段进口与出口两端以直线段连接时,水位具有一定的递减趋势;通过对弯道轴线水面沿程分布模型所得结果进行误差分析检验可知,该模型具有一定的准确性、稳定性和代表性,为弯道水流运动研究提供了新的思路。

关键词: 弯道水流, 沿程水位, 最大熵定理, 中轴线, 明渠

Abstract: In order to study the characteristics of water level distribution along the central axis of bend flow in open channel, a mathematical model based on maximum entropy theorem was constructed based on the data of physical model test. The results showed that the water level has a certain decreasing trend when the inlet and outlet ends of the bend section are connected by a straight line section. Through the error analysis on the distribution along the curve axis, we can see that the model has certain accuracy, stability and representativeness, which provides a new idea for the curve flow movement.

Key words: bend flow, water level along the channel, maximum entropy theorem, central axis, open channel;