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马蹄形过水断面临界水深的迭代计算 被引量:11

Calculation on critical depth of horseshoe cross-section by iterative method
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摘要 马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。 Horseshoe cross-section is one of commomly used sections for open-channe1 flow tunnel. Its geometricshape consists of four radial curves. The hydralic elements, including cross-section area, wetted perimeter, watersurface width, etc., can be expressed by piecewise functions respectively. The hydraulic calculation of horse shoecross-section in open-channel flows is difficult because of its complex sectional construction. The formulas of hy-draulic elements and iterative formulas of critical depths for standard I and II type horseshoe cross-sections arederived, and how to discriminate the demarcation discharges of range of critical depths is presented. The calculat-ed results of hydraulic elements at characteristic points are identical, therefore the continuity and correctness ofthe formlas at the characteristic points are proved.
作者 吕宏兴
出处 《长江科学院院报》 CSCD 北大核心 2002年第3期10-12,共3页 Journal of Changjiang River Scientific Research Institute
基金 国家自然科学基金资助项目(59979023) 杨凌基金资助项目(2000K-23)
关键词 马蹄形过水断面 临界水深 迭代公式 无压流 horseshoe cross-section critical depth iterative formula open-channel flow
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