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

【摘要】：考慮底坡影響的條件下,利用均值不等式對(duì)明渠恒定非均勻流最小斷面比能和臨界水深的計(jì)算公式進(jìn)行改進(jìn),并附以算例驗(yàn)證。通過對(duì)改進(jìn)前后兩種方法的比較,結(jié)果表明:采用改進(jìn)后的計(jì)算方法較之傳統(tǒng)計(jì)算方法得到的臨界水深偏大,最小斷面比能偏小。改進(jìn)后的公式利用均值不等式理論簡(jiǎn)化了計(jì)算過程,且考慮底坡影響下的結(jié)果更為精確,可靠度更高。這一改進(jìn)過程從理論上闡述了數(shù)學(xué)方法在水力學(xué)分析中應(yīng)用的可行性,同時(shí)也為水力學(xué)課程教學(xué)與工程實(shí)際計(jì)算提供了新的指導(dǎo)思路和簡(jiǎn)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(xué)土木與水利工程學(xué)院;安徽農(nóng)業(yè)大學(xué)工學(xué)院;馬鞍山市水利局;河海大學(xué)水文水資源學(xué)院;
【基金】：國(guó)家自然科學(xué)基金青年科學(xué)基金項(xiàng)目(51509001) 國(guó)家級(jí)大學(xué)生創(chuàng)新創(chuàng)業(yè)訓(xùn)練計(jì)劃項(xiàng)目(201510364018) 安徽省青年科學(xué)基金項(xiàng)目(1608085QE112)
【分類號(hào)】：TV133
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本文編號(hào)：1679605