排灌机械工程学报
   Home  About Journal  Editorial Board  Author Center  Subscriptions    中文 
Journal of Drainage and Irrigation Machinery Engin  2011, Vol. 29 Issue (3): 241-245    DOI: 10.3969/j.issn.1674—8530.2011.03.012
article Current Issue | Next Issue | Archive | Adv Search Previous Articles  |  Next Articles  
Calculation method for normal depth of semi- cubic parabolic channels
Zhao Yanfeng1,Wang Zhengzhong1,Fang Xing2,Liu Jiliang1,Hong Anyu1
(1.Research Center of Water Engineering Safety and Disaster Prevention,Northwest A & F University,Yangling,Shaanxi 712100,China;2.Department of Civil Engineering,Auburn University,Auburn,Alabama 36849,U.S.A.)
 Download: PDF (342 KB)   HTML (1 KB)   Export: BibTeX | EndNote (RIS)      Supporting Info
Abstract  In order to obtain the simple and general explicit formula with high accuracy for computing the normal depth of semi-cubic parabolic channels,formula for direct computation of the normal depth was developed by obtaining initial function using iteration theory and optimization.Mathematical transformation on the basic equation for determining the normal depth of semi-cubic parabolic channel was made by introducing the concept of characteristic depth of cross-section,and the iterative formula with high convergence rate was derived.According to the optimization of the iterative formula in the range of 0.025 to 40 for dimensionless normal depth H,the reasonable initial function was developed.Direct calculation formula for computing the normal depth of semi-cubic parabolic channels was obtained by using the reasonable initial value and iterative formula.Error analysis of the formula was also carried out.The result indicates that the maximum relative error of the formula is less than 0.3% for the most frequently used range of characteristic depth of cross-section.The formula developed in this paper is simple and has high accuracy with wide range of applications,and it can provide simple method for computing the normal depth when the channel section is designed for irrigation and drainage and controlling the water level
Service
E-mail this article
Add to my bookshelf
Add to citation manager
E-mail Alert
RSS
Articles by authors
ZHAO Yan-Feng
Wang-Zheng-Zhong
FANG Xing
Liu-Ji-Liang
Hong-An-Yu
Key wordsirrigation channels   normal depth   iteration theory   optimization   semi-cubic parabola   characteristic depth of cross-section     
Received: 2010-10-21; Published: 2011-05-30
Cite this article:   
ZHAO Yan-Feng, Wang-Zheng-Zhong,FANG Xing et al. Calculation method for normal depth of semi- cubic parabolic channels[J]. Journal of Drainage and Irrigation Machinery Engin, 2011, 29(3): 241-245.
 
[1] 姚林碧 张仁田.渠道自动控制技术与发展趋势[J].排灌机械,20(4):34-38.
[2] Swamee Prabhata K.Normal-depth equations for irrigation canals[J].Journal of Irrigation Drainage Engineering,1994,120(5):942 -948.
[3] Swamee Prabhata K,Rathie Pushpa N.Exact solutions for normal depth problem[J].Journal of Hydraulic Research,2004,42(5):541 -547.
[4] Shrestha Ravi C,Barkdoll Brian.A direct solution to normal depth in open channels[C] // Conference Proceeding of World Water & Environmental Resources Congress,2005,173:405.
[5] Anwar Arif A,Clarke Derek.Design of hydraulically efficient power-law channels with freeboard[J].Journal of Irrigation Drainage Engineering,2005,131 (6):560 -563.
[6] Anwar Arif A,De Vries Tonny T.Hydraulically efficient power-law channels[J].Journal of Irrigation Drainage Engineering,2003,129(1):18 -26.
[7] 卢琴 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,2007,25(2):134-136.
[8] 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,2009,26(9):32-34.
[9] 文辉 李风玲.立方抛物线断面渠道收缩水深的直接计算方法[j].人民长江,2009,40(13):38-39.
[10] 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,2006,39(3):49-51.
[11] 文辉 李风玲.立方抛物线形渠道水力计算的显式计算式[J].人民黄河,2010,32(1):75-76.
[12] 赵振兴 何建宗.水力学[M].北京:清华大学出版社,2005.
[13] 关治 陈景良.数值计算方法[M].北京:清华大学出版社,1990.
[1] . Calculation of water normal depth in channels with common shapes[J]. Journal of Drainage and Irrigation Machinery Engin, 2012, 30(3): 324-329.
[2] Zhao Yanfeng, Wang Zhengzhong, Fang Xing, Liu Jiliang, Hong Anyu. Simple calculation method for normal depth of a kind of water supply tunnel for irrigation and drainage[J]. Journal of Drainage and Irrigation Machinery Engin, 2011, 29(6): 523-528.
[3] Zhang Kuandi, Wang guangqian, Lü Hongxing, Cheng Junying, Hong Cheng. Applying Particle Swarm Optimization algorithm on normal depth calculation of horse-shoe section tunnel[J]. Journal of Drainage and Irrigation Machinery Engin, 2011, 29(1): 54-60.

Copyright © 2011 Journal of Drainage and Irrigation Machinery Engineering
Support by Beijing Magtech Co.Ltd   E-mail: support@magtech.com.cn