摘要
基于圆形过水断面几何特征与棱柱体水平明渠的一般水跃方程,推导出无压圆管过流的水跃方程。利用提出的分界水深与分界圆心角的概念,确定了跃后水深与圆管直径的关系,通过数学变换,得到了以圆心角为参数的水跃方程,并用MATLAB语言对包含三角函数的水跃方程进行了编程求解。算例表明,本方法简单、可靠、结果精确,便于在实际工程中推广应用。
Based on the geometric features of circular cross-section and the hydraulic jump equation of general prismatic channels, the hydraulic jump equation of flow in unpressure pipe is deduced, and on the concepts of demarcation depth and demarcation central an-gle proposed in this paper, the size relationship between the sequent depth and diameter is determined. Then through appropriate mathematical transformation, the hydraulic jump equation of central angle of circular cross-section was developed, and MATLABlanguage was used in order to obtain central angle. The example shows that the method is simple, reliable, accurate and convenient in practical engineering application.
出处
《中国农村水利水电》
北大核心
2012年第6期165-167,共3页
China Rural Water and Hydropower