平底矩形断面渐扩散水跃跃后水深的计算
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摘要
通过绕流阻力理论,建立了渐扩式消力池水跃段水体新的受力方程,提出了渐扩散水跃跃后水深新的计算方法.渐扩式消力池综合绕流阻力系数是跃前断面弗劳德数、水跃共轭水深比及水跃旋滚末端断面和水跃跃前断面宽度比的函数.相对综合绕流阻力系数是跃前断面弗劳德数的函数,并随跃前断面弗劳德数的增大而减小.得出了渐扩式消力池综合绕流阻力系数、跃后水深及水跃旋滚长度新的计算公式,并通过实际工程和已有公式对其适用性及通用性进行了验证.
Based on the theory of the flow resistance,the new equation to study the sequent depth of hydraulic jump occurring in gradually expanding stilling basin is studied. The comprehensive flow resistance coefficient in gradually expanding stilling basin is the function of upstream Froude,conjugate depths and the ratio of the width between section of roller end with initial section of jump. The relative comprehensive flow resistance coefficient is also the function of upstream Froude,and it is increasing with the increasing of upstream Froude. The new calculation methods of comprehensive flow resistance coefficient,sequent depth and roller length of gradually expanding stilling basin are put forward,which are verified by the actual engineering and the existed equations.
Based on the theory of the flow resistance,the new equation to study the sequent depth of hydraulic jump occurring in gradually expanding stilling basin is studied. The comprehensive flow resistance coefficient in gradually expanding stilling basin is the function of upstream Froude,conjugate depths and the ratio of the width between section of roller end with initial section of jump. The relative comprehensive flow resistance coefficient is also the function of upstream Froude,and it is increasing with the increasing of upstream Froude. The new calculation methods of comprehensive flow resistance coefficient,sequent depth and roller length of gradually expanding stilling basin are put forward,which are verified by the actual engineering and the existed equations.
引文
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[2]HAGER W H.Hydraulic Jump in Non-prismatic Rectangular channels[J].Journal of Hydraulic Research,1985,23:21-35
[3]陈椿庭,姜国干.水工模型试验(第二版)[M].北京:水利电力出版社,1985:316-320.
[4]李启业,郭竟章,夏毓常,等.溢洪道设计规范[M].北京:中国水利水电出版社,2001:58-59.
[5]吴宝琴,张志恒.矩形扩散水跃水力计算新公式[J].水利水电工程设计,2001,20(2):42-44.
[6]宁利中,宁碧波,田伟利,等.矩形扩散水跃方程的近似解[J].西安建筑科技大学学报(自然科学版),2013,45(6):875-879.
[7]于志忠.矩形扩散水跃的计算方法[J].水利学报,1989(2):39-45.
[8]傅铭焕,梁锋,郭曙啸,等.渐扩式水跃跃后水深的计算[J].人民黄河,2016(9):107-110.
[9]张田.渐扩式消力池水跃长度的分析与计算[J].浙江水利水电学院学报,2018,30(2):29-32.
[10]张志昌.水力学(下册)[M].北京:中国水利水电出版社,2011:75,120-125.
[11]傅铭焕,郭曙啸,卢志男,惠祥明.突扩式水跃跃后水深的分析与计算[J].长江科学院院报,2017(5):48-52.
[12]毛昶熙.闸坝泄流局部冲刷问题(三)——冲刷与消能扩散的关系[J].人民黄河,1988(5):65-70.
[13]RAJARATNAM N.The Hydraulic Jump as a Wall Jet[J].Journal of Hydraulics Division,1965,91(5):107-132.
[14]倪汉根,刘亚坤.击波水跃跌水消能[M].大连:大连理工大学出版社,2008:134-192.
[15]吴宇峰,伍超,刘小兵.渐扩散水跃跃长的研究[J].水科学进展,2007,18(2):210-215.
[16]RAJARATNAM N.The Hydraulic Jump as A Wall Jet[J],Journal of the Hydraulic Division,1965,91(5):107-132.
[17]HUGHES W C,Ernest Flack J.Hydraulic Jump Properties Over a Rough Bed[J].Journal of Hydraulic Eng.,1984,110:1755-1771.
[18]张志昌,傅铭焕,赵莹,等.平底渐扩式消力池深度的计算[J].武汉大学学报(工学版),2013,46(3):295-299.
[19]吴持恭.水力学(上册)[M].北京:高等教育出版社,2007:278-289.
[2]HAGER W H.Hydraulic Jump in Non-prismatic Rectangular channels[J].Journal of Hydraulic Research,1985,23:21-35
[3]陈椿庭,姜国干.水工模型试验(第二版)[M].北京:水利电力出版社,1985:316-320.
[4]李启业,郭竟章,夏毓常,等.溢洪道设计规范[M].北京:中国水利水电出版社,2001:58-59.
[5]吴宝琴,张志恒.矩形扩散水跃水力计算新公式[J].水利水电工程设计,2001,20(2):42-44.
[6]宁利中,宁碧波,田伟利,等.矩形扩散水跃方程的近似解[J].西安建筑科技大学学报(自然科学版),2013,45(6):875-879.
[7]于志忠.矩形扩散水跃的计算方法[J].水利学报,1989(2):39-45.
[8]傅铭焕,梁锋,郭曙啸,等.渐扩式水跃跃后水深的计算[J].人民黄河,2016(9):107-110.
[9]张田.渐扩式消力池水跃长度的分析与计算[J].浙江水利水电学院学报,2018,30(2):29-32.
[10]张志昌.水力学(下册)[M].北京:中国水利水电出版社,2011:75,120-125.
[11]傅铭焕,郭曙啸,卢志男,惠祥明.突扩式水跃跃后水深的分析与计算[J].长江科学院院报,2017(5):48-52.
[12]毛昶熙.闸坝泄流局部冲刷问题(三)——冲刷与消能扩散的关系[J].人民黄河,1988(5):65-70.
[13]RAJARATNAM N.The Hydraulic Jump as a Wall Jet[J].Journal of Hydraulics Division,1965,91(5):107-132.
[14]倪汉根,刘亚坤.击波水跃跌水消能[M].大连:大连理工大学出版社,2008:134-192.
[15]吴宇峰,伍超,刘小兵.渐扩散水跃跃长的研究[J].水科学进展,2007,18(2):210-215.
[16]RAJARATNAM N.The Hydraulic Jump as A Wall Jet[J],Journal of the Hydraulic Division,1965,91(5):107-132.
[17]HUGHES W C,Ernest Flack J.Hydraulic Jump Properties Over a Rough Bed[J].Journal of Hydraulic Eng.,1984,110:1755-1771.
[18]张志昌,傅铭焕,赵莹,等.平底渐扩式消力池深度的计算[J].武汉大学学报(工学版),2013,46(3):295-299.
[19]吴持恭.水力学(上册)[M].北京:高等教育出版社,2007:278-289.