二分之五次方抛物线形明渠设计及提高水力特性效果
发布时间：2018-11-05 16:11
【摘要】：为提高抛物线形断面的水力特性,增加输水能力,该文提出了一种二分之五次(以下简称2.5次)方抛物线形渠道断面,推导其水力断面特性。将湿周用高斯超几何函数表示后,将水力最优断面的最优化模型转换为关于宽深比的一元方程,得到2.5次方抛物线形渠道水力最优断面的解析解,其最优宽深比为2.088 3。比较结果表明,2.5次方抛物线形断面较常规抛物线形断面具有更好的水力学特性。与平方、半立方抛物线形断面比较,在相同水深条件下,2.5次方抛物线形水力最优断面的过流能力更大。相反,在相同流量下,2.5次方抛物线形水力最优断面的过流面积、湿周、水深更小。2.5次方抛物线形水力最优断面的建造成本与其他2种断面相比是最小的。进一步地,为便于工程应用,基于高斯勒让德算法,提出2.5次方抛物线形断面的三点和四点格式近似湿周算法。结果表明,四点格式近似算法具有较高精度。研究可为明渠设计提供理论依据。
[Abstract]:In order to improve the hydraulic characteristics of parabolic section and increase the capacity of water conveyance, this paper presents a 5/2 times (2. 5 times) square parabolic channel section, and deduces its hydraulic section characteristics. After the wet cycle is expressed by Gao Si hypergeometric function, the optimization model of hydraulic optimal section is transformed into a monadic equation about the ratio of width to depth, and the analytical solution of the hydraulic optimal section of a parabolic canal to the power of 2.5 is obtained. The optimum ratio of width to depth is 2.088 3. The results show that the parabolic section to the power 2.5 has better hydraulic characteristics than the conventional parabola section. Compared with the square and semi-cubic parabola section, under the same water depth, the flow capacity of the 2.5 power parabola hydrodynamic optimal section is greater. On the contrary, under the same flow rate, the flow area, the wet circumference and the water depth of the 2.5 power parabola hydraulic optimal section are much smaller, and the construction cost of the 2.5 power parabola hydraulic optimal section is the smallest compared with the other two kinds of sections. Furthermore, in order to facilitate engineering application, based on Gao Si Legendre algorithm, a three-point and four-point approximate wet cycle algorithm for parabolic section of power 2.5 is proposed. The results show that the four-point approximation algorithm has high accuracy. The research can provide theoretical basis for the design of open channel.
【作者单位】： 济南大学资源与环境学院;天津大学水利工程仿真与安全国家重点实验室;Dept.
【基金】：国家“十二五”科技支撑计划(2015BAB07B02-6) 山东省重点研发计划(2016GSF117038) 南市科技发展计划(201302052)
【分类号】：TV133
本文编号：2312588
[Abstract]:In order to improve the hydraulic characteristics of parabolic section and increase the capacity of water conveyance, this paper presents a 5/2 times (2. 5 times) square parabolic channel section, and deduces its hydraulic section characteristics. After the wet cycle is expressed by Gao Si hypergeometric function, the optimization model of hydraulic optimal section is transformed into a monadic equation about the ratio of width to depth, and the analytical solution of the hydraulic optimal section of a parabolic canal to the power of 2.5 is obtained. The optimum ratio of width to depth is 2.088 3. The results show that the parabolic section to the power 2.5 has better hydraulic characteristics than the conventional parabola section. Compared with the square and semi-cubic parabola section, under the same water depth, the flow capacity of the 2.5 power parabola hydrodynamic optimal section is greater. On the contrary, under the same flow rate, the flow area, the wet circumference and the water depth of the 2.5 power parabola hydraulic optimal section are much smaller, and the construction cost of the 2.5 power parabola hydraulic optimal section is the smallest compared with the other two kinds of sections. Furthermore, in order to facilitate engineering application, based on Gao Si Legendre algorithm, a three-point and four-point approximate wet cycle algorithm for parabolic section of power 2.5 is proposed. The results show that the four-point approximation algorithm has high accuracy. The research can provide theoretical basis for the design of open channel.
【作者单位】： 济南大学资源与环境学院;天津大学水利工程仿真与安全国家重点实验室;Dept.
【基金】：国家“十二五”科技支撑计划(2015BAB07B02-6) 山东省重点研发计划(2016GSF117038) 南市科技发展计划(201302052)
【分类号】：TV133
【相似文献】
相关期刊论文 前10条
1 吴文江;;受抛物线形荷载的地下柔性管的计算[J];武汉建材学院学报;1981年01期
2 张志昌,刘亚菲,刘松舰;抛物线形渠道水力最优断面的计算[J];西安理工大学学报;2002年03期
3 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年02期
4 刘进;;U形渠道平底抛物线形无喉槽的设计与应用[J];陕西水利;2009年03期
5 文辉;李风玲;;抛物线形断面渠道收缩水深的解析解[J];长江科学院院报;2009年09期
6 滕凯;;抛物线形断面渠道收缩水深的简易算法[J];人民长江;2013年09期
7 滕凯;;抛物线形断面渠道收缩水深简化计算通式[J];水利水电科技进展;2014年03期
8 聂义军;魏文礼;赵鸿;杨国丽;;立方抛物线形渠道水力最优断面研究[J];陕西水利;2008年S2期
9 魏文礼;杨国丽;;立方抛物线形渠道水力最优断面的计算[J];武汉大学学报(工学版);2006年03期
10 王智，，朱凤书，刘晓明;平底抛物线形无喉段量水槽试验研究[J];水利学报;1994年07期
相关硕士学位论文 前2条
1 宋清林;抛物线形混凝土衬砌渠道冻胀破坏力学模型及数值模拟[D];西北农林科技大学;2015年
2 万雷亮;抛物线形楼梯的内力计算与结构分析[D];南昌大学;2005年
本文编号：2312588
本文链接：https://www.wllwen.com/kejilunwen/shuiwenshuili/2312588.html
