本文選題：水力學　切入點：均值不等式　出處：《水利水電技術》2017年04期

【摘要】：考慮底坡影響的條件下,利用均值不等式對明渠恒定非均勻流最小斷面比能和臨界水深的計算公式進行改進,并附以算例驗證。通過對改進前后兩種方法的比較,結果表明:采用改進后的計算方法較之傳統(tǒng)計算方法得到的臨界水深偏大,最小斷面比能偏小。改進后的公式利用均值不等式理論簡化了計算過程,且考慮底坡影響下的結果更為精確,可靠度更高。這一改進過程從理論上闡述了數(shù)學方法在水力學分析中應用的可行性,同時也為水力學課程教學與工程實際計算提供了新的指導思路和簡便的解決途徑。
[Abstract]:Under the condition of considering the influence of the bottom slope, the formula for calculating the minimum specific energy of the section and the critical water depth of the constant non-uniform flow in the open channel is improved by means of mean inequality, and an example is given to verify the comparison between the two methods before and after the improvement. The results show that the critical water depth obtained by the improved method is larger than that obtained by the traditional method, and the specific energy of the minimum section is smaller. The improved formula simplifies the calculation process by means of the mean inequality theory. Considering the influence of the bottom slope, the results are more accurate and the reliability is higher. The feasibility of the application of mathematical method in hydraulics analysis is expounded theoretically in this improved process. At the same time, it also provides a new guiding idea and a simple solution for the teaching of hydraulics and practical engineering calculation.
【作者單位】： 合肥工業(yè)大學土木與水利工程學院;安徽農業(yè)大學工學院;馬鞍山市水利局;河海大學水文水資源學院;
【基金】：國家自然科學基金青年科學基金項目(51509001) 國家級大學生創(chuàng)新創(chuàng)業(yè)訓練計劃項目(201510364018) 安徽省青年科學基金項目(1608085QE112)
【分類號】：TV133
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本文編號：1679605