| 芦琴,王正中,任武刚.抛物线形渠道收缩水深简捷计算公式[J].干旱地区农业研究,2007,(2):134~136 |
| 抛物线形渠道收缩水深简捷计算公式 |
| A formula for quickly calculating water depth at vena contraction in parabola form channel |
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| DOI：10.7606/j.issn.1000-7601.2007.02.28 |
| 中文关键词: 收缩水深 抛物线形渠道 计算方法 |
| 英文关键词:water depth parabola form channel computation method |
| 基金项目:中国科学院冻土工程重点实验室基金(C9901) |
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| 中文摘要: |
| 根据抛物线形渠道收缩水深的基本方程,经数学变换得到计算收缩水深的迭代公式,并结合收缩水深水力特点证明了该迭代式的收敛性;应用四种方法求得五个初值,运用迭代公式分别进行迭代计算,在误差分析基础上得出最简公式。在工程实用范围内,其最大误差小于0.48%,满足精度要求;该公式简捷、准确、适用范围广,而且克服了以往查图查表及试算迭代法的缺点。 |
| 英文摘要: |
| Non-dimensional iterative formulas for computing water depth at vena contraction are derived from the basic equations of water depth at vena contraction in parabola form cross section through proper mathematic-exchange.According to hydraulic characteristics,the astringency of these iteration formulas has been testified,and five approximate formulas for computing water depth at vena contraction have been obtained by using four methods.Through error analysis and a case history computed by using these formulas we can obtain the easiest formula.In the practical area of engineering,the maximum error of the water depth is not greater than 0.48 percent.These formulas are qualified,short-cut and correct,and can be widely used.They overcome the shortage of graphic chart and trial computation methods widely used in the past-time. |
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