输入数据
流量(m 3
/s)
Q 45底坡i 0.0009边坡系数m 1.5糙率n 0.022渠底宽(m)b 10
试解Q 45.03806试解h 1.96初始值h 1.959
末尾值h 0 1.959067临界水深h k 1.273265
判定缓流是否已知末端水深h 3.4
△h 1.73552临界坡i k 0.006839
判定缓坡
Xk 14.59082Ak 15.16445Rk 1.039314Ck 45.74762
计算水面线
1 已知流段两端的水深，求流段的距离
2 已知流段一端水深和流段长△s，求另一端断面水深
h
A A X X R R
（已知末端水深）
3.451.34022.259 2.306
3.247.36049.35021.53821.898 2.199 2.253343.50045.43020.81721.177 2.090 2.1442.839.76041.63020.09620.456 1.979 2.0342.636.14037.95019.37419.735 1.865 1.9222.432.6403
4.39018.65319.014 1.750 1.8082.229.26030.95017.93218.293 1.632 1.6911.96
25.362
27.311
17.067
17.500 1.486 1.559
注：水力学第四版（吴持恭编）P241例子
by：沉潜夏天
2014-7-28
临界水深
1 已知流段两端的
利用试算法求解正常水深
迭代法求解正常水深项目
k
k k
k k k k k B aC g B R aC gA i 2X
==
两端的水深，求流段的距离
C C K J i-J E E△s
52.248 3.4392
51.83452.0413854.6450.000140.00076 3.24600.1931252.8990
51.39551.6153433.6620.000170.00073 3.05450.1915262.9216
50.92951.1623037.6960.000220.00068 2.86530.1893278.0930
50.43250.6812666.3910.000280.00062 2.67900.1863302.7846
49.89750.1642319.4100.000380.00052 2.49690.1821347.8806
49.31949.6081996.4390.000510.00039 2.32060.1763449.8756
48.55748.9381668.7600.000730.00017 2.12050.20011157.8013