长江科学院院报

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2013 , Vol. 30 >Issue 6: 47 - 51

DOI: https://doi.org/10.3969/j.issn.1001-5485.2013.06.011

水力学

临界底坡变化规律及相应均匀流流态判

  • 林峰 ,
  • 王克忠 ,
  • 欧阳明
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  • 浙江工业大学 建筑工程学院， 杭州 310014
林峰（1988-），男，浙江宁波人，硕士研究生，主要从事隧道工程数值模拟和水力学理论研究,（电话）18767191441

收稿日期: 2013-06-04

  修回日期: 2013-06-04

  网络出版日期: 2013-06-04

基金资助

浙江省自然科学基金资助项目（Y110094）浙江省重点创新团队及水利河口研究院省重点实验室资助项目（FZ1102）；浙江省科技厅资助项目（2012C21105）

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Variation of Critical Bed Slope and Discrimination ofCorresponding Uniform Flow Pattern

  • LIN Feng ,
  • WANG Ke-zhong ,
  • OUYANG Ming
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  • College of Civil Engineering and Architecture, Zhejiang University of Technology, Hangzhou 310014, China

Received date: 2013-06-04

  Revised date: 2013-06-04

  Online published: 2013-06-04

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摘要

临界底坡在均匀流中可以用作判别水流流态，临界底坡随流量的变化规律随着断面形式的变化而有所不同。针对3种不同的断面形式，从理论上推导出它们的最小临界底坡公式。分析结果显示：矩形、圆形和U形3种不同的过水断面均存在最小临界底坡，#em/em#Kmin分别为26.13n2b1/3，22.335n2d1/3和22.335n2(2r)1/3。比较实际流量与临界底坡为实际底坡时对应的流量，可以方便地判别不同流量情况下的水流流态，比目前通过分别计算临界水深和正常水深从而判别水流流态的方法要简便实用。

关键词： 临界底坡; 明流均匀流; 流态; 变化规律; 断面

本文引用格式

林峰 , 王克忠 , 欧阳明 . 临界底坡变化规律及相应均匀流流态判[J]. 长江科学院院报, 2013 , 30(6) : 47 -51 . DOI: 10.3969/j.issn.1001-5485.2013.06.011

Abstract

In a uniform flow, critical bed slope can be used to discriminate the flow pattern. The variation of critical bed slope against flow varies with the section’s shape. The formulas of minimum critical bed slope for three different sections were deduced according to theoretical analysis. The results show that these three sections, i.e. rectangular, circular and U-shaped section all has a minimum critical bed slope #em/em#Kmin=26.13n2b1/3,22.335n2d1/3 and 22.335n2(2r)1/3 respectively. The variation in flow pattern can be discriminated conveniently by comparing the actual discharge with the discharge when critical bed slope equals the actual bed slope. This method is simpler and more convenient than the method which determines the flow pattern by calculating critical depth and normal depth.

Key words： critical bed slope; free uniform flow; flow pattern; variation regularity; section

参考文献

[1]吴持恭. 水力学(第四版)[M]. 北京; 高等教育出版社,2007.(WU Chi-gong. Hydraulics (Version 4)[M]. Beijing; Higher Education Press,2007.(in Chinese)
[2] 赵振兴,何建京. 水力学(第二版)[M]. 北京; 清华大学出版社,2010.(ZHAO Zhen-xing,HE Jian-jing. Hydraulics (Version 2)[M]. Beijing; Tsinghua University Press,2010.(in Chinese)
[3] WONG T S W. Exact Solutions for Normal Depth Problem[J]. Journal of Hydraulic Research,2007,45(4); 567-571.
[4] RAJESH S. Exact Solutions for Normal Depth Problem[J]. Journal of Hydraulic Research,2006,44(3); 427-428.
[5] LIU Ji-liang,WANG Zheng-zhong,FANG Xing. Iterative Formulas and Estimation Formulas for Computing Normal Depth of Horseshoe Cross-Section Tunnel[J]. Journal of Irrigation & Drainage Engineering (ASCE),2010,136(11); 786-790.
[6] 赵延风,张宽地,芦 琴. 矩形断面明渠均匀流水力计算的直接计算公式[J]. 西北农林科技大学学报(自然科学版),2008,36(9); 224-228.(ZHAO Yan-feng,ZHANG Kuan-di,LU Qin. Formula on Direct Calculation of Water Depth of Uniform Flow in Rectangular Open Channel[J]. Journal of Northwest A&F University(Natural Science Edition),2008,36(9); 224-228.(in Chinese)
[7] 赵延风,祝晗英,王正中,等. 梯形明渠正常水深的直接计算方法[J]. 西北农林科技大学学报(自然科学版),2009,37(4); 220-224.(ZHAO Yan-feng,ZHU Han-ying,WANG Zheng-zhong,et al. A Direct Formula for Normal Depth in Trapezoidal Open Channel[J]. Journal of Northwest A&F University(Natural Science Edition),2009,37(4); 220-224.(in Chinese)
[8] 廖云凤. 梯形断面渠道临界水深显式计算[J]. 陕西水力发电,2001,17(4); 22-23.(LIAO Yun-feng. Direct Calculation Formula of Critical Depth for Trapezoidal Canal[J]. Journal of Shaanxi Water Power,2001,17(4); 22-23.(in Chinese)
[9] 赵延风,王正中,张宽地. 梯形明渠临界水深的直接计算方法[J]. 山东大学学报(工学版),2007,37(6); 101-105.(ZHAO Yan-feng,WANG Zheng-zhong,ZHANG Kuan-di. Direct Calculation Method for the Critical Depth of an Open Trapezoidal Channel[J]. Journal of Shandong University(Engineering Science),2007,37(6); 101-105.(in Chinese)
[10]赵延风,祝晗英,王正中. 一种新的圆形过水断面正常水深近似计算公式[J]. 河海大学学报(自然科学版),2010,38(1); 68-71.(ZHAO Yan-feng,ZHU Han-ying,WANG Zheng-zhong. New Approximate Formula for Circular Cross Section of Normal Depth[J]. Journal of Hohai University(Natural Sciences),2010,38(1); 68-71.(in Chinese)
[11]张文倬. 圆形断面临界水深计算[J]. 四川水力发电,2002,21(1); 15-17.(ZHANG Wen-zhuo. Computation for Critical Depth of Flow in Circular Section of Tunnel[J]. Sichuan Water Power,[1 2002,21(1); 15-17.(in Chinese)
[12]赵延风,何晓军,祝晗英,等. 无压流圆形断面临界水深的新近似计算公式[J]. 人民长江,2009,40(11); 76-79. (ZHAO Yan-feng,HE Xiao-jun,ZHU Han-ying,et al. A New Approximate Formula for Critical Water Depth Calculation of Free Flow in Circular Cross-Section Pipe[J]. Yangtze River,2009,40(11); 76-79.(in Chinese)
[13]滕 凯,郭铁良,胡允坤,等. U形断面渠槽的实用设计法[J]. 黑龙江水利科技,1995,(1); 55-57.(TENG Kai,GUO Tie-liang,HU Yun-kun,et al. Practical Design Method of U-shaped Section Channel[J]. Heilongjiang Science and Technology of Water Conservancy,1995,(1); 55-57.(in Chinese)
[14]葛节忠,刘东康,刘金柱,等. 明渠均匀流水深h0和临界水深hk的迭代计算法[J]. 海河水利,2004,(6); 41-43.(GE Jie-zhong,LIU Dong-kang,LIU Jinzhu,et al. Iterative Computation Method of Critical Depth hk and Uniform Flow Depth h0 of Uncovered Canal[J]. Haihe Water Resources,2004,(6); 41-43.(in Chinese)
[15]芦 琴. 明渠特征水深直接计算方法的研究[D]. 陕西杨凌;西北农林科技大学,2005.(LU Qin. Research about Method to Calculate Directly of Characteristic Depth of Open Channel[D]. Yangling; Northwest A&F University,2005.(in Chinese)
[16]韩 梅. 棱柱体渠道临界底坡变化规律及最小值研究[J]. 黑龙江水专学报,2004,31(3); 4-6.(HAN Mei. Research on Critical Bed Slope Varied Rule and the Minimum Value in the Prism Canal[J]. Journal of Heilongjiang Hydraulic Engineering College,2004,31(3); 4-6.(in Chinese)
[17]刘曾美,吴俊校.梯形断面棱柱体渠道水流流态规律研究[J]. 水利水运工程学报,2009,(3);54-58.(LIU Zeng-mei,WU Jun-xiao. Variation in Flow Pattern with Unit Width Discharge in the Prism Canal with Trapezia Section[J]. Hydro-Science and Engineering,2009,(3); 54-58.(in Chinese)
[18]李大美,张申泽. 临界底坡的水面曲线分析[J]. 水电能源科学,2000,18(4); 44-45,58.(LI Da-mei,ZHANG Shen-ze. Analysis of Flow Profiles on Critical Slope[J]. Journal of Hydroelectric Energy,2000,18(4); 44-45,58.(in Chinese)
[19]李 炜. 水力计算手册(第二版)[M]. 北京; 中国水利水电出版社,2006.(LI Wei. Hydraulic Computation Manual(Version 2)[M]. Beijing; China Water Power Press,2006.(in Chinese)
[20]王沫然. MATLAB与科学计算(第二版)[M]. 北京; 电子工业出版社,2003.(WANG Mo-ran. MATLAB and Scientific Computing(Version 2)[M]. Beijing; Publishing House of Electronics Industry,2003.(in Chinese)
[21]甄西丰. 实用数值计算方法[M]. 北京; 清华大学出版社,2006.(ZHEN Xi-feng. Applied Numerical Method[M]. Beijing; Tsinghua University Press,2006.(in Chinese)
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