Post on 05-Jul-2018
8/15/2019 Flujo Gradual Mente Variado
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DATOS:
Q = 0.35
n = 0.015
So = 0.001
b = 0.494
Z = 0.75
Yn= 0.492
Yc= 0.315
Sc = 0.00549
G= 9.81
Y A T R R^2/3
1 2 3 4 5
0.447 0.37 1.6767 0.2300 0.3754
0.430 0.35 1.6317 0.2238 0.3686
0.410 0.33 1.5788 0.2163 0.3604
0.400 0.32 1.5523 0.2126 0.3562
0.390 0.31 1.5258 0.2088 0.3520
0.380 0.30 1.4994 0.2050 0.3477
0.370 0.29 1.4729 0.2012 0.3433
0.360 0.28 1.4465 0.1973 0.3389
0.356 0.27 1.4359 0.1957 0.3371
DATOS:
Q = 0.35
n = 0.015
So = 0.004
b = 0.379
Z = 0.75
Yn= 0.379
Yc= 0.349
Sc = 0.00549
G= 9.81
Y A T R R^2/3
1 2 3 4 5
0.447 0.32 1.5617 0.2133 0.3570
0.430 0.30 1.5167 0.2075 0.3504
0.410 0.28 1.4638 0.2005 0.3425
8/15/2019 Flujo Gradual Mente Variado
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0.400 0.27 1.4373 0.1970 0.3385
0.390 0.26 1.4108 0.1934 0.3344
0.380 0.25 1.3844 0.1899 0.3303
0.370 0.24 1.3579 0.1863 0.3262
0.360 0.23 1.3315 0.1827 0.3219
0.356 0.23 1.3209 0.1812 0.3202
DATOS:
Q = 0.35
n = 0.015
So = 0.005b = 0.364
Z = 0.75
Yn= 0.364
Yc= 0.357
Sc = 0.00549
G= 9.81
Y A T R R^2/3
1 2 3 4 5
0.447 0.31 1.5467 0.2110 0.3544
0.430 0.30 1.5017 0.2051 0.3478
0.410 0.28 1.4488 0.1982 0.3400
0.400 0.27 1.4223 0.1947 0.3360
0.390 0.26 1.3958 0.1912 0.3319
0.380 0.25 1.3694 0.1877 0.3278
0.370 0.24 1.3429 0.1841 0.3237
0.360 0.23 1.3165 0.1806 0.3195
0.356 0.22 1.3059 0.1791 0.3178
8/15/2019 Flujo Gradual Mente Variado
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METODO DIRECTO POR TRAMOS
Yc =
Yn=
V V^2/(2g) E ∆E
6 ! " 1# 11
0.94 0.0454 0.4924 0.0000 0.0014233630
1.00 0.0507 0.4807 -0.0118 0.0016458884 0.0015
1.07 0.0578 0.4678 -0.0128 0.0019653400 0.0018
1.10 0.0619 0.4619 -0.0059 0.0021536961 0.0021
1.14 0.0664 0.4564 -0.0055 0.0023648479 0.0023
1.18 0.0713 0.4513 -0.0051 0.0026021841 0.0025
1.23 0.0766 0.4466 -0.0046 0.0028696986 0.0027
1.27 0.0825 0.4425 -0.0041 0.0031721188 0.0030
1.29 0.0851 0.4411 -0.0015 0.0033040850 0.0032
METODO DIRECTO POR TRAMOS
Yc =
Yn=
V V^2/(2g) E ∆E
6 ! " 1# 11
1.10 0.0613 0.5083 0.0000 0.0021211025
1.16 0.0686 0.4986 -0.0096 0.0024665166 0.0023
1.24 0.0788 0.4888 -0.0098 0.0029652416 0.0027
SE $E
SE $E
2 32 ( )
2
C C
C
b y Z yQ
g b Z y
+=
+
2 32 ( )
2
C C
C
b y Z yQ
g b Z y
+=
+
2 32 ( )
2
C C
C
b y Z yQ
g b Z y
+=
+
2 32 ( )
2
C C
C
b y Z yQ
g b Z y
+=
+
3
2/1 )
*
( S
nQ
3
2/1 )
*(S
nQ
8/15/2019 Flujo Gradual Mente Variado
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1.29 0.0846 0.4846 -0.0042 0.0032606567 0.0031
1.34 0.0910 0.4810 -0.0036 0.0035928692 0.0034
1.39 0.0981 0.4781 -0.0030 0.0039674640 0.0038
1.44 0.1058 0.4758 -0.0023 0.0043910382 0.0042
1.50 0.1144 0.4744 -0.0014 0.0048714174 0.0046
1.52 0.1181 0.4741 -0.0003 0.0050815053 0.0050
METODO DIRECTO POR TRAMOS
Yc = Yn=
V V^2/(2g) E ∆E
6 ! " 1# 11
1.12 0.0639 0.5109 0.0000 0.0022462296
1.19 0.0717 0.5017 -0.0093 0.0026143858 0.0024
1.27 0.0824 0.4924 -0.0093 0.0031464586 0.0029
1.32 0.0885 0.4885 -0.0039 0.0034618709 0.0033
1.37 0.0952 0.4852 -0.0033 0.0038167606 0.0036
1.42 0.1027 0.4827 -0.0026 0.0042171409 0.0040
1.47 0.1108 0.4808 -0.0018 0.0046701183 0.0044
1.53 0.1199 0.4799 -0.0010 0.0051841255 0.0049
1.56 0.1237 0.4797 -0.0001 0.0054090060 0.0053
SE $E
2 32
( )2
C C
C
b y Z yQ g b Z y
+=
+
2 32
( )2
C C
C
b y Z yQ g b Z y
+=
+3
2/1 )*(
S nQ
8/15/2019 Flujo Gradual Mente Variado
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∆% & 'ER& T'O DE *+RVA RO+DE
12 13 14
0.00 M 1 0.87
-0.00053 22.0535 22.05 M 2 0.94
-0.00081 15.9296 37.98 M 2 1.04
-0.00106 5.5874 43.57 M 2 1.10
-0.00126 4.3972 47.97 M 2 1.16
-0.00148 3.4438 51.41 M 2 1.22
-0.00174 2.6661 54.08 M 2 1.29
-0.00202 2.0224 56.10 M 2 1.36
-0.00224 0.6559 56.76 M 2 1.40
∆% & 'ER& T'O DE *+RVA RO+DE
12 13 14
0.00 M 1 1.090.00171 -5.6460 -5.65 M 2 1.19
0.00128 -7.6378 -13.28 M 2 1.32
SE,S#
SE,S#
8/15/2019 Flujo Gradual Mente Variado
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0.00089 -4.7020 -17.99 M 2 1.39
0.00057 -6.2868 -24.27 M 2 1.47
0.00022 -13.4971 -37.77 M 2 1.55
-0.00018 12.5540 -38.34 M 2 1.64
-0.00063 2.2830 -39.13 M 2 1.74
-0.00098 0.3343 -41.01 M 2 1.78
∆% & 'ER& T'O DE *+RVA RO+DE
12 13 14
0.00 M 1 1.13
0.00257 -3.6027 -3.60 M 2 1.23
0.00212 -4.3777 -7.98 M 2 1.36
0.00170 -2.2785 -10.26 M 2 1.44
0.00136 -2.3984 -12.66 M 2 1.52
0.00098 -2.6337 -15.29 M 2 1.61
0.00056 -3.2882 -18.58 M 2 1.70
0.00007 -13.3287 -31.91 M 2 1.80
-0.00030 0.4159 -31.49 M 2 1.85
SE,S#
8/15/2019 Flujo Gradual Mente Variado
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T'O DE &+-O
Subcritico
Subcritico
Supercritico
Supercritico
Supercritico
Supercritico
Supercritico
Supercritico
Supercritico
T'O DE &+-O
SupercriticoSupercritico
Supercritico
0 2 4 6 8 10 12 14 16 18 20 22 24 20.20
0.25
0.30
0.35
0.40
0.45
0.50
Curva
0.40
0.45
0.50
Cu
8/15/2019 Flujo Gradual Mente Variado
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Supercritico
Supercritico
Supercritico
Supercritico
Supercritico
Supercritico
T'O DE &+-O
Supercritico
Supercritico
Supercritico
Supercritico
Supercritico
Supercritico
Supercritico
Supercritico
Supercritico
-16-14-12-10-8-6-4-20
0.20
0.25
0.30
0.35
-1-12-10-8-6-4-200.20
0.25
0.30
0.35
0.40
0.45
0.50
Curv
8/15/2019 Flujo Gradual Mente Variado
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28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 6
e remanzo
Column B
rva de remanzo
8/15/2019 Flujo Gradual Mente Variado
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-40-38-36-34-32-30-28-26-24-22-20-18
Column B
-32-30-28-26-24-22-20-18-16
de remanzo
Column B
8/15/2019 Flujo Gradual Mente Variado
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METODO DE INTEGRACION DIR
D!"S#$ % 0.35 N=
n % 0.015 M=
So % 0.001 J=
b % 0.494
& % 0.75
' % 1.427
% 0.427
.= 1.235
(n% 0.492
(c% 0.315Sc % 0.00549
)% 9.81
Y =Y/Yn 0=^(/-) () (V-)
1 2 3 4 5
0.381 0.77 0.11 0.5810 0.5490
0.400 0.81 0.17 0.6130 0.5810
0.420 0.85 0.26 0.6470 0.6190
0.450 0.91 0.47 0.7050 0.6800
0.480 0.98 0.81 0.7640 0.7410
0.510 1.04 1.36 0.8290 0.8110
0.540 1.10 2.21 0.907 0.890
0.572 1.16 3.60 0.998 0.994
METODO DE INTEGRACION DIR
D!"S#
$ % 0.35 N=
n % 0.015 M=
So % 0.004 J=
b % 0.379
& % 0.75
' % 1.427
% 0.427
.= 1.235
(n% 0.379
(c% 0.315
Sc % 0.00549
)% 9.81
= = ^
8/15/2019 Flujo Gradual Mente Variado
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1 2 3 4 5
0.381 1.01 1.05 0.5810 0.5490
0.400 1.06 1.58 0.6130 0.5810
0.420 1.11 2.39 0.6470 0.6190
0.450 1.19 4.30 0.7050 0.6800
0.480 1.27 7.45 0.7640 0.7410
0.510 1.35 12.47 0.8290 0.8110
0.540 1.42 20.27 0.907 0.890
0.572 1.51 33.07 0.998 0.994
METODO DE INTEGRACION DIR
D!"S#
$ % 0.35 N=
n % 0.015 M=
So % 0.005 J=
b % 0.364
& % 0.75
' % 1.427
% 0.427
.= 1.235
(n% 0.364 (c% 0.315
Sc % 0.00549
)% 9.81
Y =Y/Yn 0=^(/-) () (V-)
1 2 3 4 5
0.381 1.05 1.47 0.5810 0.5490
0.400 1.10 2.23 0.6130 0.5810
0.420 1.15 3.37 0.6470 0.6190
0.450 1.24 6.07 0.7050 0.6800
0.480 1.32 10.50 0.7640 0.7410
0.510 1.40 17.58 0.8290 0.8110
0.540 1.48 28.57 0.907 0.890
0.572 1.57 46.61 0.998 0.994
8/15/2019 Flujo Gradual Mente Variado
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CTA
3.8
3.7
0.4
% & '7 T8o 9 *0o9 T8o 9 7;o
6 ! " 1# 11
67.7200000000 0.00 M 2 0.08 Subcritico
67.6000000000 0.12 M 2 0.14 Subcritico
67.1200000000 0.60 M 2 0.26 Subcritico
59.6200000000 8.10 M 2 0.60 Subcritico
49.4200000000 18.30 M 2 1.32 Supercritico
32.5900000000 35.30 M 1 2.77 Supercritico
1.030 66.690 M 1 5.57 Supercritico
-41.280 109.000 M 1 11.28 Supercritico
CTA
3.8
3.7
0.4
o9 T8o 9 7;o
8/15/2019 Flujo Gradual Mente Variado
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6 ! " 1# 11
67.7200000000 0.00 M 2 1.90 Supercritico
67.6000000000 0.12 M 2 3.45 Supercritico
67.1200000000 0.60 M 2 6.27 Supercritico
59.6200000000 8.10 M 2 14.60 Supercritico
49.4200000000 18.30 M 2 32.19 Supercritico
32.5900000000 35.30 M 1 67.65 Supercritico
1.030 66.690 M 1 136.25 Supercritico
-41.280 109.000 M 1 275.81 Supercritico
CTA
3.8
3.7
0.4
% & '7 T8o 9 *0o9 T8o 9 7;o
6 ! " 1# 11
67.7200000000 0.00 M 2 3.12 Supercritico
67.6000000000 0.12 M 2 5.66 Supercritico
67.1200000000 0.60 M 2 10.28 Supercritico
59.6200000000 8.10 M 2 23.94 Supercritico
49.4200000000 18.30 M 2 52.79 Supercritico
32.5900000000 35.30 M 1 110.94 Supercritico
1.030 66.690 M 1 223.45 Supercritico
-41.280 109.000 M 1 452.33 Supercritico