uap 4 metodos
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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
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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
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216.000 217.000 218.000 219.000 220.000 221.000
CURVA DE REMANSOF(Y)
DE REMANSO
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5/23
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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
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00
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
y
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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
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5 10 15 20 25
REMANSO
Longitud
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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-
-%!
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30
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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
$/Y&# 0.9174 0.2000 0.00811
0.3000 0.02836
0.4500 0.10260
0.4720 0.11974
0.2880 0.02497
AREA PERIMETRO
S/1'2 # A/5'3'P/2'3
AREA PERIMETRO
2%(# A3'P
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13/23
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DATOS:
! 0.34 N#
n ! 0.015 M#
So ! 0.0049 #
" ! 0.494
# ! 0.75
P ! 1.427
A! 0.427
t= 1.235
Yn! 0.494
Y$! 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
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15/23
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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
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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&
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19/23
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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
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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
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