考虑底坡影响下的明渠恒定非均匀流水力计算公式研究

发布时间：2018-03-29 04:34

  本文选题：水力学　切入点：均值不等式　出处：《水利水电技术》2017年04期

【摘要】：考虑底坡影响的条件下,利用均值不等式对明渠恒定非均匀流最小断面比能和临界水深的计算公式进行改进,并附以算例验证。通过对改进前后两种方法的比较,结果表明:采用改进后的计算方法较之传统计算方法得到的临界水深偏大,最小断面比能偏小。改进后的公式利用均值不等式理论简化了计算过程,且考虑底坡影响下的结果更为精确,可靠度更高。这一改进过程从理论上阐述了数学方法在水力学分析中应用的可行性,同时也为水力学课程教学与工程实际计算提供了新的指导思路和简便的解决途径。
[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.
【作者单位】： 合肥工业大学土木与水利工程学院;安徽农业大学工学院;马鞍山市水利局;河海大学水文水资源学院;
【基金】：国家自然科学基金青年科学基金项目(51509001) 国家级大学生创新创业训练计划项目(201510364018) 安徽省青年科学基金项目(1608085QE112)
【分类号】：TV133
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本文编号：1679605