抛物线形渠道的水力特性

通过积分和数值积分研究了n次抛物线形渠道湿周的计算,根据明渠均匀流理论研究了n次抛物线形渠道的正常水深;根据明渠临界水深和水跃共轭水深的理论,研究了n次抛物线形渠道的临界水深、弗劳德数以及水跃共轭水深的计算方法。给出了n次抛物线形渠道湿周、正常水深、临界水深、弗劳德数和水跃共轭水深的通用计算式,给出了水跃共轭水深的迭代式,证明了迭代式的收敛性,通过实例验证了计算式的正确性。本研究提出的n次抛物线形渠道的正常水深、临界水深、弗劳德数和水跃共轭水深的计算方法具有通用性,计算简单、精度高,可以应用于实际工程。

Hydraulic characteristics of parabolic channels

The general method for calculating wetted perimeter, normal depth, critical depth, the Froude number and conjugate depth of hydraulic jump of n-th parabolic channel is presented in this paper. The studies of the wetted perimeter of n-th parabolic channel are carried out by integral or numerical integration, the normal depth of n-th parabolic channel is analysed according to the theory of the open channel uniform flow, a computing method of the critical depth, the Froude number and the conjugate depth of hydraulic jump of n-th parabolic channel are studied based on the theory of critical depth and the conjugate depth of the hydraulic jump. The general computing formulas of the wetted perimeter, normal depth and critical depth, the Froude number and the conjugate depth of the hydraulic jump of n-th parabolic channel are given, the iterative formula of the conjugate depth is given and the convergence of an iterative formula is proved, and examples for verification of the formulas are presented. The research of the general method for calculating the wetted perimeter, normal depth, critical depth, the Froude number and the conjugate depth of hydraulic jump of n-th parabolic channel with a simple calculation process and a high calculation precision can provide a reference for practical engineering design.