Flujo Gradual Mente Variado

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



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



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


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



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


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



∆% & '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


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#



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


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#



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



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



28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 6

e remanzo

Column B

rva de remanzo



-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



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


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

= = ^



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


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



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



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

Flujo Gradual Mente Variado

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