online_dimensionless_uh_cascade:   Dimensionless unit hydrograph by the cascade of linear reservoirs 


Formulas

C = tr/K          C1 = C/(2+C)           C2 = (2-C)/(2+C)

Qj+1n+1 = 2C1(Qaverage)j + C2Qj+1n

Reference


INPUT DATA:

Basin area A (km2):     432         Unit hydrograph duration tr (hr):     3         Storage constant K (hr):     9         Number of reservoirs N:     2


SAMPLE OUTPUT:

Please check:  Relative volume under unit hydrograph (1 cm of runoff):  Vuh = 1.00000008.     The correct value is:  Vuh =  1.

Time interval Time (hr) Outflow
(m3/s)
Dimensionless time t* Dimensioless outflow Q*
0 0 0 0 0
1 3 16.327 1 0.041
2 6 39.650 2 0.099
3 9 48.313 3 0.121
4 12 48.769 4 0.122
5 15 45.049 5 0.113
6 18 39.464 6 0.099
7 21 33.392 7 0.083
8 24 27.569 8 0.069
9 27 22.347 9 0.056
10 30 17.859 10 0.045
11 33 14.111 11 0.035
12 36 11.047 12 0.028
13 39 8.582 13 0.021
14 42 6.623 14 0.017
15 45 5.084 15 0.013
16 48 3.883 16 0.01
17 51 2.954 17 0.007
18 54 2.238 18 0.006
19 57 1.69 19 0.004
20 60 1.273 20 0.003
21 63 0.956 21 0.002
22 66 0.716 22 0.002
23 69 0.536 23 0.001
24 72 0.4 24 0.001
25 75 0.298 25 0.001
26 78 0.221 26 0.001
27 81 0.164 27 0
28 84 0.122 28 0
29 87 0.09 29 0
30 90 0.067 30 0
31 93 0.049 31 0
32 96 0.036 32 0
33 99 0.027 33 0
34 102 0.02 34 0
35 105 0.015 35 0
36 108 0.011 36 0
37 111 0.008 37 0
38 114 0.006 38 0
39 117 0.004 39 0
40 120 0.003 40 0
41 123 0.002 41 0
42 126 0.002 42 0
43 129 0.001 43 0
44 132 0.001 44 0


            


Thank you for running online_dimensionless_uh_cascade.   [090517]