| 摘要: |
| 【目的】研究标准Ⅰ型马蹄形断面水跃共轭水深和临界水深的计算方法，为马蹄形断面的设计与计算提供依据。【方法】从水跃的基本方程出发，按照分块计算面积和形心至水面距离的方法，详细推导了4种工况下标准Ⅰ型马蹄形断面水跃共轭水深的计算公式；根据临界水深的一般计算方法，推导出了标准Ⅰ型马蹄形断面临界水深的计算公式。【结果】提出了当水深分别位于底部弓形、下部扇形、顶拱半圆形断面内时，断面形心至水面距离和水跃共轭水深的计算公式，提出了临界水深的迭代公式，并通过例题给出了计算过程。【结论】建立了标准Ⅰ型马蹄形断面水跃共轭水深和临界水深计算公式，该公式较简单，可以直接应用于实际工程。 |
| 关键词: 标准Ⅰ型马蹄形断面 水跃 共轭水深 临界水深 |
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| Calculation of conjugate water depth in standard typeⅠ of horseshoe cross section |
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LI Ruobing, ZHANG Zhichang
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Xi’an University of Technology
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| Abstract: |
| 【Objective】The calculation methods of conjugate water depth and critical water depth in standard typeⅠ of horseshoe cross section are explored,providing a reference for engineering design.【Method】By blocking the calculated area and the distance between centroid and water surface,conjugate water depth calculation formulas of standard typeⅠ of horseshoe cross section under four operating conditions which is based on the basic equation of hydraulic jump are deduced in detail;on the basis of general method for calculating critical water depth,critical water depth formula of the standard typeⅠ of horseshoe section is derived.【Result】The distance between section centroid and water surface and conjugate water depth calculating formulas is raised when water depths respectively at the bottom of bow,lower fan-shaped,upper semi-round section,and iterative formulas of critical water depth are put forward too,the calculating process is supplied by the example.【Conclusion】The calculation formulas in this study are simple and can be applied to practical engineering. |
| Key words: standard typeⅠ of horseshoe cross section hydraulic jump conjugate water depth critical water depth |
