【摘要】：為提高拋物線形斷面的水力特性,增加輸水能力,該文提出了一種二分之五次(以下簡(jiǎn)稱2.5次)方拋物線形渠道斷面,推導(dǎo)其水力斷面特性。將濕周用高斯超幾何函數(shù)表示后,將水力最優(yōu)斷面的最優(yōu)化模型轉(zhuǎn)換為關(guān)于寬深比的一元方程,得到2.5次方拋物線形渠道水力最優(yōu)斷面的解析解,其最優(yōu)寬深比為2.088 3。比較結(jié)果表明,2.5次方拋物線形斷面較常規(guī)拋物線形斷面具有更好的水力學(xué)特性。與平方、半立方拋物線形斷面比較,在相同水深條件下,2.5次方拋物線形水力最優(yōu)斷面的過流能力更大。相反,在相同流量下,2.5次方拋物線形水力最優(yōu)斷面的過流面積、濕周、水深更小。2.5次方拋物線形水力最優(yōu)斷面的建造成本與其他2種斷面相比是最小的。進(jìn)一步地,為便于工程應(yīng)用,基于高斯勒讓德算法,提出2.5次方拋物線形斷面的三點(diǎn)和四點(diǎn)格式近似濕周算法。結(jié)果表明,四點(diǎn)格式近似算法具有較高精度。研究可為明渠設(shè)計(jì)提供理論依據(jù)。
[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.
【作者單位】： 濟(jì)南大學(xué)資源與環(huán)境學(xué)院;天津大學(xué)水利工程仿真與安全國(guó)家重點(diǎn)實(shí)驗(yàn)室;Dept.
【基金】：國(guó)家“十二五”科技支撐計(jì)劃(2015BAB07B02-6) 山東省重點(diǎn)研發(fā)計(jì)劃(2016GSF117038) 南市科技發(fā)展計(jì)劃(201302052)
【分類號(hào)】：TV133

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