EJERCICIOS RESUELTOS.xlsx
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B (m) I (m3/s) y (m) c (m/s) K X 1.3 1.3 100 118.0 0.37 5.4 7.2 31.3 1.33 -0.11 1.3 2.7 100 186.0 0.48 6.5 8.6 27.4 1.33 -0.17 1.3 4.0 100 258.0 0.58 7.4 9.8 25.2 1.33 -0.21 1.3 5.3 100 430.5 0.79 9.0 12.1 22.5 1.33 -0.29 1.3 6.7 100 441.0 0.81 9.1 12.2 22.4 1.33 -0.29 1.3 8.0 100 491.4 0.86 9.5 12.7 22.0 1.33 -0.31 1.3 9.3 100 682.5 1.05 10.9 14.5 21.0 1.33 -0.37 1.3 10.7 100 1274.2 1.52 13.9 18.6 20.0 1.33 -0.48 1.3 12.0 100 1442.1 1.64 14.7 19.5 20.0 1.33 -0.51 1.3 13.3 100 1209.8 1.48 13.7 18.2 20.0 1.33 -0.47 1.3 14.7 100 993.6 1.31 12.6 16.8 20.2 1.33 -0.43 1.3 16.0 100 655.2 1.02 10.7 14.3 21.1 1.33 -0.36 1.3 17.3 100 527.8 0.90 9.8 13.1 21.8 1.33 -0.32 1.3 18.7 100 410.8 0.77 8.9 11.8 22.7 1.33 -0.28 1.3 20.0 100 338.0 0.69 8.2 10.9 23.7 1.33 -0.25 1.3 21.3 100 273.0 0.60 7.5 10.0 24.8 1.33 -0.22 1.3 22.7 100 126.0 0.38 5.5 7.4 30.7 1.33 -0.12 1.3 24.0 100 112.0 0.35 5.3 7.0 31.8 1.33 -0.10 1.3 25.3 100 95.2 0.32 4.9 6.6 33.5 1.33 -0.08 1.3 26.7 100 82.6 0.29 4.7 6.2 35.1 1.33 -0.07 1.3 28.0 100 82.6 0.29 4.7 6.2 35.1 1.33 -0.07 Delta t (días) t (días) Delta x (m) Delta x crít.(m)
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Transcript of EJERCICIOS RESUELTOS.xlsx
t (días) B (m) I (m3/s) y (m) c (m/s) K X c1 c2
1.3 1.3 100 118.0 0.37 5.4 7.2 31.3 1.33 -0.11 0.242 0.3791.3 2.7 100 186.0 0.48 6.5 8.6 27.4 1.33 -0.17 0.199 0.4011.3 4.0 100 258.0 0.58 7.4 9.8 25.2 1.33 -0.21 0.167 0.4161.3 5.3 100 430.5 0.79 9.0 12.1 22.5 1.33 -0.29 0.117 0.4421.3 6.7 100 441.0 0.81 9.1 12.2 22.4 1.33 -0.29 0.115 0.4431.3 8.0 100 491.4 0.86 9.5 12.7 22.0 1.33 -0.31 0.104 0.4481.3 9.3 100 682.5 1.05 10.9 14.5 21.0 1.33 -0.37 0.071 0.4641.3 10.7 100 1274.2 1.52 13.9 18.6 20.0 1.33 -0.48 0.009 0.4961.3 12.0 100 1442.1 1.64 14.7 19.5 20.0 1.33 -0.51 -0.003 0.5021.3 13.3 100 1209.8 1.48 13.7 18.2 20.0 1.33 -0.47 0.014 0.4931.3 14.7 100 993.6 1.31 12.6 16.8 20.2 1.33 -0.43 0.034 0.4831.3 16.0 100 655.2 1.02 10.7 14.3 21.1 1.33 -0.36 0.075 0.4621.3 17.3 100 527.8 0.90 9.8 13.1 21.8 1.33 -0.32 0.097 0.4521.3 18.7 100 410.8 0.77 8.9 11.8 22.7 1.33 -0.28 0.122 0.4391.3 20.0 100 338.0 0.69 8.2 10.9 23.7 1.33 -0.25 0.141 0.4301.3 21.3 100 273.0 0.60 7.5 10.0 24.8 1.33 -0.22 0.162 0.4191.3 22.7 100 126.0 0.38 5.5 7.4 30.7 1.33 -0.12 0.236 0.3821.3 24.0 100 112.0 0.35 5.3 7.0 31.8 1.33 -0.10 0.247 0.3771.3 25.3 100 95.2 0.32 4.9 6.6 33.5 1.33 -0.08 0.262 0.3691.3 26.7 100 82.6 0.29 4.7 6.2 35.1 1.33 -0.07 0.275 0.3621.3 28.0 100 82.6 0.29 4.7 6.2 35.1 1.33 -0.07 0.275 0.362
Delta t (días)
Delta x (m)
Delta x crít.(m)
c3 c4 O (m3/s)
0.379 0.621 118.00.401 0.599 145.20.416 0.584 199.00.442 0.558 308.10.443 0.557 381.00.448 0.552 436.70.464 0.536 554.70.496 0.504 912.40.502 0.498 1176.90.493 0.507 1196.90.483 0.517 1099.10.462 0.538 885.90.452 0.548 701.90.439 0.561 552.90.430 0.570 440.60.419 0.581 353.70.382 0.618 247.70.377 0.623 166.50.369 0.631 125.90.362 0.638 101.80.362 0.638 89.5
1 2 3 4 5 6 7 8 9 10
11
12
13
14
15
16
17
18
19
20
21
0.0200.0400.0600.0800.0
1000.01200.01400.01600.0
Tránsito de la onda de flujo mediante el Método de Muskingum - Cunge
I (m3/s) O (m3/s)
Días
Q(m
3/s
)
Tr (días) 8M 6Delta t (días) 1.3So 0.025n 0.025Qbase (m3/s) 50.0Qpico (m3/s) 1442.1Q.lateral (m3/s) 0
1 2 3 4 5 6 7 8 9 10
11
12
13
14
15
16
17
18
19
20
21
0.0200.0400.0600.0800.0
1000.01200.01400.01600.0
Tránsito de la onda de flujo mediante el Método de Muskingum - Cunge
I (m3/s) O (m3/s)
Días
Q(m
3/s
)
t (días) I (m3/s) O (m3/s) Numerador Denominador
0 59 421 93 70 20 20 29.22 129 76 38 58 123 205 142 58 116 684 210 183 45 161 33.85 234 185 38 199 6.46 325 213 80.5 279.5 40.67 554 293 186.5 466 109.88 627 397 245.5 711.5 97.89 526 487 134.5 846 51.8
10 432 533 -31 815 1811 252 481 -165 650 -77.612 203 371 -198.5 451.5 -97.813 158 252 -131 320.5 -104.214 130 196 -80 240.5 -50.415 105 161 -61 179.5 -3316 90 143 -54.5 125 -17.417 80 112 -42.5 82.5 -26.818 68 95 -29.5 53 -1619 59 83 -25.5 27.5 -11.420 59 75 -20 7.5 -6.4
1X 0.2K 1.8339
Suma Numerador
delta t (dias)
0 50 100 150 200 250 300 350 400 450 5000
100
200
300
400
500
600
700
800
900
f(x) = 1.83388735319758 x − 43.1274484201711R² = 0.986528474601423
Cálculo de X y K
Suma Denominador
Su
ma
Nu
mer
ado
r
1 5993
129205210234325554627526
3.93424 5.40136 432252203158130105
9080685959
t (días) I (m3/s) O(m3/s)0 118.0 118.0
29.2 1 186.0 122.641.2 2 258.0 159.7
109.2 3 430.5 221.4143 4 441.0 328.4
149.4 5 491.4 389.0190 6 682.5 454.0
299.8 7 1274.2 610.2397.6 8 1442.1 959.1449.4 9 1209.8 1188.9467.4 10 993.6 1184.9389.8 11 655.2 1064.7292 12 527.8 847.9
187.8 13 410.8 677.3137.4 14 338.0 536.9104.4 15 273.0 431.4
87 16 126.0 340.960.2 17 112.0 230.744.2 18 95.2 169.232.8 19 82.6 130.726.4 20 82.6 106.3
C1 0.068C2 0.441C3 0.492
Suma Denominador
0 50 100 150 200 250 300 350 400 450 5000
100
200
300
400
500
600
700
800
900
f(x) = 1.83388735319758 x − 43.1274484201711R² = 0.986528474601423
Cálculo de X y K
Suma Denominador
Su
ma
Nu
mer
ado
r
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 200
200
400
600
800
1000
1200
1400
1600
Transito de la onda de avenida mediante el método de Muskingum
I (m3/s) O(m3/s)
Tiempo (días)Q
(m3
/s)
222
2.12.12.12.12.32.32.32.32.62.62.62.62.6
1.41.41.41.41.4
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 200
200
400
600
800
1000
1200
1400
1600
Transito de la onda de avenida mediante el método de Muskingum
I (m3/s) O(m3/s)
Tiempo (días)
Q(m
3/s
)
UNIVERSIDAD NACIONAL DEL CENTRO DEL PERU ------------------------------------------------------- INGENIERIA CIVIL
HIDROLOGIA GENERAL
Piscina nivelada
DATOS:
SUPERFICIE DE LA CUENCA = 250.00 hasANCHO DE VERTEDERO = 8.00 mCOEFICIENTE DE CAUDAL (Cd) = 0.385CAUDAL BASE = 25.00 m3/s
H (m) O (m3/s) V (m3)
0.00 0.00 0 0.00 0.00t (hrs) ∆t (hrs) I (m3/s) 0.50 4.82 1250000 236.30 120.560.00 25.00 1.00 13.64 2500000 476.61 245.123.00 3.00 30.00 1.50 25.06 3750000 719.51 372.296.00 3.00 40.00 2.00 38.59 5000000 964.51 501.559.00 3.00 52.50 2.50 53.93 6250000 1211.33 632.63
12.00 3.00 65.80 3.00 70.89 7500000 1459.78 765.3315.00 3.00 73.80 3.50 89.33 8750000 1709.70 899.5218.00 3.00 76.30 4.00 109.14 10000000 1960.99 1035.0721.00 3.00 75.00 4.50 130.23 11250000 2213.57 1171.9024.00 3.00 71.00 5.00 152.53 12500000 2467.34 1309.9427.00 3.00 65.00 5.50 175.97 13750000 2722.27 1449.1230.00 3.00 57.50 6.00 200.51 15000000 2978.28 1589.3936.00 6.00 42.50 6.50 226.08 16250000 3235.34 1730.7142.00 6.00 30.00 7.00 252.67 17500000 3493.41 1873.0448.00 6.00 25.00 7.50 280.22 18750000 3752.44 2016.33
8.00 308.70 20000000 4012.40 2160.558.50 338.09 21250000 4273.27 2305.689.00 368.35 22500000 4535.02 2451.69
t (hrs) ∆t (hrs) I (m3/s) Ij + Ij+1 (m3/s) Oj (m3/s)
0.00 25.00 -25.00 25.003.00 3.00 30.00 55.00 -22.88 30.00 26.446.00 3.00 40.00 70.00 -9.12 47.12 28.129.00 3.00 52.50 92.50 20.04 83.38 31.67
12.00 3.00 65.80 118.30 64.23 138.34 37.0615.00 3.00 73.80 139.60 116.88 203.83 43.4718.00 3.00 76.30 150.10 167.65 266.98 49.6621.00 3.00 75.00 151.30 209.43 318.95 54.7624.00 3.00 71.00 146.00 238.77 355.43 58.3327.00 3.00 65.00 136.00 254.31 374.77 60.2330.00 3.00 57.50 122.50 255.96 376.81 60.4336.00 6.00 42.50 100.00 239.19 355.96 58.3842.00 6.00 30.00 72.50 203.60 311.69 54.0548.00 6.00 25.00 55.00 160.91 258.60 48.8454.00 6.00 25.00 50.00 122.57 210.91 44.1760.00 6.00 25.00 50.00 91.75 172.57 40.4166.00 6.00 25.00 50.00 66.97 141.75 37.3972.00 6.00 25.00 50.00 47.04 116.97 34.9678.00 6.00 25.00 50.00 31.02 97.04 33.01
2V/∆t1+O (m3/s)
2V/∆t2+O (m3/s)
2Vj/∆t-Oj (m3/s)
2Vj+1/∆t + Oj+1 (m3/s)
0.00 1000.00 2000.00 3000.00 4000.000.00
100.00
200.00
300.00
400.00f(x) = 0.16010345283393 x + 23.5f(x) = 0.0852699513899361 x + 23.5
∆t = 3 h Linear (∆t = 3 h)
2V/∆t + O (m3/s)
O (m
3/s)
0.00 20.00 40.00 60.00 80.00 100.000.00
10.0020.0030.0040.0050.0060.0070.0080.0090.00
CAUDAL DE ENTRADA CAUDAL DE SALIDA
