马蹄形过水断面临界水深的迭代计算

长江科学院院报 ›› 2002, Vol. 19 ›› Issue (3): 10-12.

马蹄形过水断面临界水深的迭代计算

吕宏兴

出版日期:2002-06-01 发布日期:2012-03-05

Calculation on critical depth of horseshoe cross-section by iterative method

Hong-Xing

Online:2002-06-01 Published:2012-03-05

摘要/Abstract

摘要： 蹄形过水断面是无压隧洞较常采用的断面形式之一，其几何图形由多段圆弧曲线构成，过水断面水力要素须由分段函数表示，水力计算困难。导出了标准Ⅰ，Ⅱ型马蹄形过水断面水力要素分段计算公式和临界水深迭代公式，并提出判别临界水深范围的分界流量，便于生产实际中应用。水力要素的计算结果在特征水深点是吻合的，由此证明水力要素分段公式在特征点的连续性和正确性。

Abstract: Horseshoe cross-section is one of commomly used sections for open-channel flow tunnel.Its geometric shape consists of four radial curves.The hydralic elements,including cross-section area,wetted perimeter,water surface width,etc.,can be expressed by piecewise functions respectively.The hy-draulic calculation of horse shoe cross-section in open-channel flows is difficult because of its complex sectional construction.The formulas of hydraulic elements and iterative formulas of critical depths for standard Ⅰ and Ⅱ type horseshoe cross-sections are derived,and how to discriminate the demarcation discharges of range of critical depths is presented.The calculated results of hydraulic elements at characteristic point are identical,therefor the continuity and correctness of the formlas at characteristic point are proved.

吕宏兴. 马蹄形过水断面临界水深的迭代计算[J]. 长江科学院院报, 2002, 19(3): 10-12.

吕Hong-Xing . Calculation on critical depth of horseshoe cross-section by iterative method[J]. JOURNAL OF YANGTZE RIVER SCIENTIFIC RESEARCH INSTI, 2002, 19(3): 10-12.