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矩形平底明渠水跃长度公式的分析与应用
张志昌1, 赵 莹1, 傅铭焕1
西安理工大学 水利水电学院
摘要:
【目的】研究矩形平底明渠水跃长度和旋滚长度的分类及其计算方法。【方法】收集了国内外43个水跃长度计算公式,在前人对水跃长度和旋滚长度研究的基础上,按其计算参数(跃后水深、跃前和跃后水深、跃前断面的弗劳德数与跃前或跃后水深以及其他表示方法)对这些公式进行分类,根据模型试验资料提出了计算水跃长度和旋滚长度的新公式。【结果】43个公式中,有12个公式适宜于计算水跃长度,有3个公式适宜于计算旋滚长度,其他大多数公式的计算结果介于水跃长度和旋滚长度之间,有1个公式与试验结果相反;提出的新公式与试验资料吻合较好。【结论】明确了水跃长度与旋滚长度的关系,推荐了4个适应弗劳德数范围大、精度较高的公式。提出了计算水跃长度和旋滚长度的新公式。新公式综合考虑了跃前跃后断面水深和跃前断面弗劳德数的影响,适应的弗劳德数范围大,精度高。
关键词:  矩形平底明渠  水跃长度  旋滚长度
DOI:
分类号:
基金项目:
Analysis and application of hydraulic jump length formulas in rectangular flat open channel
ZHANG Zhi-chang,ZHAO Ying,FU Ming-huan,et al
Abstract:
【Objective】Classification and calculation of hydraulic jump length and roller length in rectangular flat open channel were researched.【Method】43 domestic and foreign hydraulic jump length formulas were collected.Based on previous researches of water length and roller length,hydraulic jump lengths were classified according to calculating parameters (depth after jump,depths before and after hydraulic jump,Froude number of the cross section before hydraulic jump,depths before and after hydraulic jump,and others).Then new calculation formulas for hydraulic jump length and roller length were proposed.【Result】Among the 43 formulas,12 were suitable for length of hydraulic jump,while 3 were suitable for rotary roll length.Most of other formulas were between length of hydraulic jump and spin roll length,and one formula was in contrast to measurements.The proposed new formulas were in good agreement with measurements.【Conclusion】The relationship between hydraulic jump length and roller length was clarified,and 4 formulas with high accuracy and suitable for large Froude numbers were recommended.New formulas of hydraulic jump length and roller length considering the depths before and after jump and the Froude number before jump were proposed.They were suitable for large Froude numbers and had high accuracy.
Key words:  Rectangular flat bottomed open channel  hydraulic jump length  roller length