UAP 4 Metodos

8/18/2019 UAP 4 Metodos

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2/23

TALANDO

NDO Yn Yn F(Yn)

1.01 1.%2 10.%"

1.%% 11.3'

1.%25 10."0

1.%230 10.&1

TALANDO

NDO Y$ Y$ F(Y$)0.'1"%3 0.52 0.21

0.&32 0.%2

0.&5 0.%&

0.&322 0.%2

1-Q^2T/gA^3 f( y )=7/8 ∆x=A

6 7 8 9 10

0.0"055"55 -15.0&501 -0.0&55"& 21'."%3

0.0&5'&&3& -1%.05&&0 -0.0&3'&& 21'."% 21.'"

0.0&11"5'3 -13.00110 -0.05'1"5' 21'."03 21.'"0.05"3%1""5 -12.153'" -0.0553%1 21'.&1" 21.'"

0.05332&2'2 -11.2&%32 -0.05132&3 21'.%&5 21.'5

0.0%'&&1&11 -10.%5005 -0.0%"&&1& 21'.255 21.'%

0.0%&"130& -'."'335 -0.0%%"13 21'.023 21.'1

0.0%3&11%%" -'.100%" -0.0%1&11% 21."01 10.'%

0.0%110%3" -.5%00" -0.03'10% 21.3&' 10.'3

0.03%&&5"" -".'%"1& -0.03&%&&& 21".'30 10.'1

0.03&03&1'1 -".%0035 -0.03%03&2 21".%2& 10.

0.03%0&"0"' -&.'5&32 -0.0320&"1 21&.'30 %.3%

0.031'033& -&.%%"2 -0.02''03 21&.2'' %.330.03025%1% -&.100% -0.0225% 215.& %.32

0.02%%'15 -5.&'21' -0.02&%%' 21%.'22 2.15

0.02&1"512 -5.312'2 -0.02%1"5 21%.0"' 2.15

0.025%5%22 -5.00315 -0.023%5% 213.2"" 2.1%

0.02%00'""& -%.&"233 -0.02200' 212.2% 2.13

SE SE-S0 G

R

A

FI

C

O


3/23

HALLANDO Y

Y = 0.%''%"3

x

11

21.'"

%3.'5&5.'1

"."

10'.0

131."2

1%2.&&

153.5'

1&%.%'

1"5.3

1"'."2

1%.051.3"

1'0.53

1'2.&"

1'%.1

1'&.'%

211.000 212.000 213.000 214.000 215.0000.00000

0.10000

0.20000

0.30000

0.40000

0.50000

0.60000

Y

PERFIL DE LA CURVA


4/23

216.000 217.000 218.000 219.000 220.000 221.000

CURVA DE REMANSOF(Y)

DE REMANSO


5/23


6/23

DATOS DEL TRAMO II:

Q = 3

n = 0.015

So = 0.002

b = 1

* = 0."5

CLASIFICACION

TIPO DE CURVA : ZONA :

M3

Y A P R

1 2 3 4

0 0.2880 0.3502 1.7620 0.204

1 0.2988 0.3657 1.7905 0.209

2 0.3096 0.3814 1.8190 0.215

3 0.3203 0.3973 1.8475 0.221

4 0.3311 0.4133 1.8760 0.226

5 0.3419 0.4296 1.9046 0.232

6 0.3527 0.4459 1.9331 0.237

7 0.3634 0.4625 1.9616 0.242

8 0.3742 0.4793 1.9901 0.248

9 0.3850 0.4962 2.0186 0.253

10 0.3958 0.5133 2.0471 0.258

MECANI

CA

DE FLUIDO

S

II

0.45


7/23

00

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

y


8/23

DATOS ALLADOS:

Y!"# 0.2

Y!$#1.01%Y!1 0.3850

Y! # 0.381

Y 0.288

N +,mos= '

0.010777778

R 2'3 V V2'2( E )E

5 6 7 8 9 10

0.346 8.566 3.740 4.0282 0.0000 0.1378

0.353 8.203 3.429 3.7282 *0.2999 0.1218

0.359 7.865 3.153 3.4626 *0.2657 0.1081

0.365 7.551 2.906 3.2265 *0.2361 0.0962

0.371 7.258 2.685 3.0161 *0.2104 0.0860

0.377 6.984 2.486 2.8279 *0.1881 0.0772

0.383 6.727 2.307 2.6593 *0.1686 0.0694

0.389 6.486 2.144 2.5078 *0.1515 0.0627

0.394 6.260 1.997 2.3714 *0.1364 0.0567

0.400 6.046 1.863 2.2483 *0.1231 0.0515

0.405 5.845 1.741 2.1371 *0.1112 0.0468

SE

PERFIL DE LA CURVA


9/23

5 10 15 20 25

REMANSO

Longitud


10/23

ALLANDO E

UTILIZANDO L

ALLANDO EL

), L UTILIZANDO

11 12 13 14

0.0000

0.1298 *0.1255 2.3897 2.3897

0.1149 *0.1106 2.4015 4.7912

0.1021 *0.0978 2.4128 7.2039

0.0911 *0.0868 2.4236 9.6275

0.0816 *0.0773 2.4340 12.0615

0.0733 *0.0690 2.4440 14.5055

0.0660 *0.0617 2.4537 16.9593

0.0597 *0.0554 2.4632 19.4225

0.0541 *0.0498 2.4724 21.8949

0.0491 *0.0448 2.4814 24.3762

ŜE So-

-%!

-


11/23

30


12/23

L TIRANTE NORMAL:

A#2 P#2/12/1'2

ECUACION DE MANNIN+ Y LA FORMULA DE CONTINUIDAD:

POR TAULACIONES

$/

0.1000 0.02094

0.2000 0.06589

$/Y# 1.0062 0.2500 0.09558

0.3000 0.12984

0.3510 0.16941

0.3810 0.19487

TIRANTE CRITICO: S2# 0.0043

A#2 P#2/12/1'2

LA ECUACION DE RE+IMEN CRITICO

POR TAULACIONES

Y& $/Y&

0.1000 0.00099

$/Y&# 0.9174 0.2000 0.00811

0.3000 0.02836

0.4500 0.10260

0.4720 0.11974

0.2880 0.02497

AREA PERIMETRO

S/1'2 # A/5'3'P/2'3

AREA PERIMETRO

2%(# A3'P


13/23


14/23

DATOS:

! 0.34 N#

n ! 0.015 M#

So ! 0.0049 #

" ! 0.494

# ! 0.75

P ! 1.427

A! 0.427

t= 1.235

Yn! 0.494

Y$! 0.357

S$ ! 0.00549%! 9.81

Y =Y/Y! "=^(#/$) %() %(V&$)

1 2 3 4 5

0.31 0."" 0.11 0.510 0.5%'0

0.%00 0.1 0.1" 0.&130 0.510

0.%20 0.5 0.25 0.&%"0 0.&1'0

0.%50 0.'1 0.%5 0."050 0.&00

0.%0 0.'" 0." 0."&%0 0."%10

0.510 1.03 1.31 0.2'0 0.1100.5%0 1.0' 2.13 0.'0" 0.'0

0.5"2 1.1& 3.% 0.'' 0.''%

MECANICA

DE FLUIDOS

II


15/23


16/23

ATS

Q = 3

n = 0.0015

So = 0.002

b = 1

Z = 0."5

Yn= 1.%23

Y$= 0.&322

S$ =

= '.

T ' ∆' S∆' Y A

1 2 3 4 5

3.25 0.00 200.00 *0.4000 1.5000 3.1875

3.13 *200.00 200.00 *0.4000 1.4210 2.9354

3.02 *400.00 200.00 *0.4000 1.3470 2.7078

2.92 *600.00 200.00 *0.4000 1.2820 2.5146

2.84 *800.00 200.00 *0.4000 1.2240 2.3476

2.77 *1000.00 200.00 *0.4000 1.1770 2.2160

2.71 *1200.00 200.00 *0.4000 1.1390 2.1120

2.67 *1400.00 200.00 *0.4000 1.1110 2.0367

2.64 *1600.00 200.00 *0.4000 1.0900 1.9811

2.61 *1800.00 200.00 *0.4000 1.0760 1.9443

2.60 *2000.00 200.00 *0.4000 1.0660 1.9183

*2500 *2000

MECANICA

D

E FLUIDOS

II


17/23


18/23

R R^2/3 V V^2/(2g) E

6 7 8 9 10 11

4.7500 0.6711 0.7665 0.9412 0.0451 1.54515

4.5525 0.6448 0.7464 1.0220 0.0532 1.47424

4.3675 0.6200 0.7271 1.1079 0.0626 1.40956

4.2050 0.5980 0.7098 1.1930 0.0725 1.35454

4.0600 0.5782 0.6941 1.2779 0.0832 1.30723

3.9425 0.5621 0.6811 1.3538 0.0934 1.27041

3.8475 0.5489 0.6704 1.4205 0.1028 1.24184

3.7775 0.5392 0.6625 1.4729 0.1106 1.22158

3.7250 0.5318 0.6564 1.5143 0.1169 1.20688

3.6900 0.5269 0.6524 1.5429 0.1213 1.19734

3.6650 0.5234 0.6495 1.5639 0.1247 1.19066

*1500 *1000 *500

0.

0.

0.

0.

1.

1.

1.

PERFIL M&


19/23


20/23

S∆'E *+f,

12 13 14 15 16 12

1.14515 0.000002841 0.0000000 0.000000 0.0000 M

1.07424 0.000003471 0.0000032 *0.000631 1.54452 M

1.00956 0.000004224 0.0000038 *0.000770 1.47347 M

0.95454 0.000005058 0.0000046 *0.000928 1.40863 M

0.90723 0.000005979 0.0000055 *0.001104 1.35344 M

0.87041 0.000006882 0.0000064 *0.001286 1.30594 M

0.84184 0.000007737 0.0000073 *0.001462 1.26895 M

0.82158 0.000008453 0.0000081 *0.001619 1.24022 M

0.80688 0.000009044 0.0000087 *0.001750 1.21983 M

0.79734 0.000009467 0.0000093 *0.001851 1.20503 M

0.79066 0.000009784 0.0000096 *0.001925 1.19541 M

SE SE SE∆' ESE∆'

00

2

4

6

8

1

2

4

6


21/23


22/23

T,. * +" %+* T,. * %

13 14 15

& '()' Su"$*iti$o

) '()) Su"$*iti$o

) '()+ Su"$*iti$o

) '(), Su"$*iti$o

) '(3) Su"$*iti$o

) '(3- Su"$*iti$o

) '(3. Su"$*iti$o

) '(3/ Su"$*iti$o

) '(-& Su"$*iti$o

) '(-) Su"$*iti$o

) '(-3 Su"$*iti$o


23/23

UAP 4 Metodos

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