53
Pieza K Ampliacion gradual (*) 0.3 Boquillas 2.75 Compuerta abierta 1 Controlador de caudal 2.5 Codo de90º 0.9 Codo de45º 0.4 Rejilla 0.75 Curva de90º 0.4 Curva de 45º 0.2 Curva de 22º 30´ 0.1 Entrada normal en tubo 0.5 Entrada de borda 1 Existencia de pequeña derivacion 0.03 Confluencia 0.4 Medidor Venturi (**) 2.5 Reduccion gradual (*) 0.15 Valvula de angulo abierto 5 Valvula de compuerta abierto 0.2 valvula de globo abierta 10 Salida de tubo 1 Tee, pasaje directo 0.6 Tee, salida de lado 1.3 Tee,salidabilateral 1.8 Valvula de pie 1.75

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Page 1: CROSS-TUB-11 IT

Pieza KAmpliacion gradual (*) 0.3Boquillas 2.75Compuerta abierta 1Controlador de caudal 2.5Codo de90º 0.9Codo de45º 0.4Rejilla 0.75Curva de90º 0.4Curva de 45º 0.2Curva de 22º 30´ 0.1Entrada normal en tubo 0.5Entrada de borda 1Existencia de pequeña derivacion 0.03Confluencia 0.4Medidor Venturi (**) 2.5Reduccion gradual (*) 0.15Valvula de angulo abierto 5Valvula de compuerta abierto 0.2valvula de globo abierta 10Salida de tubo 1Tee, pasaje directo 0.6Tee, salida de lado 1.3Tee,salidabilateral 1.8Valvula de pie 1.75

Page 2: CROSS-TUB-11 IT

Valvula de retencion 2.5Velocidad 1

*Con base en la velocidad mayor (seccion menor)**Relativa a la velocidad en la tuberia.

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110

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CIRCUITO TRAMO LONGITUD DIAMETRO GASTO SUP PEND HIDRM m m3/s (s/u)

1

A-B 369.0000 0.3000 0.0550 0.0000B-E 300.0000 0.2500 0.0200 0.0000E-F 369.0000 0.3000 -0.0700 0.0000F-A 300.0000 0.3000 0.0700 0.0000

2

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Hf Hf/Q ΔQ Q NUEVOm m3/s m3/s

#VALUE!0.00000.00000.0000

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369m-30cm-55lps 369m-15cm-5lps

369m-30cm-70lps

369m-30cm-55lps 369m-15cm-35lps

369m-20cm-20lps

300m

-30

cm-7

0lp

s

300m

-25

cm-2

0lp

s

300m

-15

cm-1

0lp

s30

0m-1

5 cm

-20

lps

300m

-25

cm-1

0lp

s

3000

m-3

0 c

m-7

0lps

A B C

DE

IHG

F240 lps

15 lps

30lps

15 lps30lps15 lps

60 lps

30lps

15 lps 30lps

Page 9: CROSS-TUB-11 IT

METODO DE CROSS EN REDES DE TUBERIASING. J. CARLOS MTZ. LUGO

C= 100No ITER=

TRAMO D (m) LONG (m) Qs(m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m) HL/QA-B 0.5000 900.0000 0.2000 0.0031 2.8208 14.1042

0.0000

0.2000 0.2000 0.0031 2.8213 14.1052B-E 0.5000 1200.0000 0.1000 0.0009 1.0420 10.4197 0.1000 0.0372 0.0628 0.0004 0.4404 7.0116E-F 0.4000 900.0000 -0.1000 -0.0026 -2.3169 23.1688 -0.1000 -0.0245 -0.0755 -0.0015 -1.3775 18.2401F-A 0.6000 1200.0000 -0.2000 -0.0013 -1.5477 7.7383 -0.2000 -0.2000 -0.0013 -1.5474 7.7377

SUMATORIA -0.0017 55.4310 0.3368 47.0947B-C 0.5000 900.0000 0.1000 0.0009 0.7815 7.8148

0.0372

0.1372 0.1372 0.0016 1.4038 10.2314C-D 0.4000 1200.0000 0.0600 0.0010 1.1995 19.9922 0.0972 0.0972 0.0024 2.9312 30.1546D-E 0.3000 900.0000 -0.1000 -0.0105 -9.4059 94.0593 -0.0628 -0.0098 -0.0530 -0.0032 -2.9000 54.7446E-B 0.4000 1200.0000 -0.1000 -0.0026 -3.0892 30.8917 -0.0628 0.0000 -0.0628 -0.0011 -1.3057 20.7877

SUMATORIA -10.5141 152.7580 0.1292 115.9183F-E 0.4000 900.0000 0.1000 0.0026 2.3169 23.1688

-0.0245

0.0755 0.0000 0.0755 0.0015 1.3775 18.2401E-H 0.3000 1200.0000 0.0800 0.0069 8.2962 103.7021 0.0555 -0.0098 0.0654 0.0048 5.7056 87.2974H-G 0.4000 900.0000 -0.0200 -0.0001 -0.1176 5.8815 -0.0445 -0.0445 -0.0006 -0.5165 11.6160G-F 0.4000 1200.0000 -0.1000 -0.0026 -3.0892 30.8917 -0.1245 -0.1245 -0.0039 -4.6329 37.2225

SUMATORIA 7.4062 163.6441 1.9337 154.3761E-D 0.3000 900.0000 0.1000 0.0105 9.4059 94.0593

-0.0098

0.0902 0.0372 0.0530 0.0032 2.9000 54.7446D-I 0.3000 1200.0000 0.0600 0.0041 4.8698 81.1630 0.0502 0.0502 0.0029 3.4973 69.6985I-H 0.3000 900.0000 -0.0200 -0.0005 -0.4775 23.8772 -0.0298 -0.0298 -0.0011 -1.0007 33.5569H-E 0.3000 1200.0000 -0.0800 -0.0069 -8.2962 103.7021 -0.0898 -0.0245 -0.0654 -0.0048 -5.7056 87.2974

SUMATORIA 5.5020 302.8015 -0.3089 245.2975

Page 10: CROSS-TUB-11 IT

ΔQ Q Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ

-0.0039

0.1962 0.1962 0.0030 2.7211 13.8727

-0.0028

0.1934 0.1934 0.0029 2.6505 13.7058

-0.0001

0.0589 -0.0006 0.0595 0.0003 0.3990 6.7001 0.0568 -0.0004 0.0571 0.0003 0.3695 6.4680-0.0794 -0.0068 -0.0726 -0.0014 -1.2810 17.6407 -0.0754 -0.0002 -0.0752 -0.0015 -1.3656 18.1676-0.2038 -0.2038 -0.0013 -1.6033 7.8650 -0.2066 -0.2066 -0.0014 -1.6438 7.9558

0.2359 46.0784 0.0106 46.2972

-0.0006

0.1366 0.1366 0.0015 1.3924 10.1931

-0.0004

0.1362 0.1362 0.0015 1.3857 10.1707

-0.0017

0.0966 0.0966 0.0024 2.8976 29.9953 0.0962 0.0962 0.0024 2.8780 29.9020-0.0536 0.0007 -0.0543 -0.0034 -3.0315 55.8723 -0.0546 -0.0025 -0.0521 -0.0031 -2.8136 53.9877-0.0634 -0.0039 -0.0595 -0.0010 -1.1829 19.8641 -0.0599 -0.0028 -0.0571 -0.0009 -1.0956 19.1759

0.0757 115.9248 0.3546 113.2362

-0.0068

0.0687 -0.0039 0.0726 0.0014 1.2810 17.6407

-0.0002

0.0724 -0.0028 0.0752 0.0015 1.3656 18.1676

-0.0016

0.0586 0.0007 0.0579 0.0038 4.5598 78.7441 0.0577 -0.0025 0.0602 0.0041 4.8979 81.3781-0.0512 -0.0512 -0.0007 -0.6715 13.1068 -0.0514 -0.0514 -0.0008 -0.6767 13.1535-0.1312 -0.1312 -0.0043 -5.1104 38.9406 -0.1314 -0.1314 -0.0043 -5.1258 38.9948

0.0589 148.4321 0.4609 151.6940

0.0007

0.0537 -0.0006 0.0543 0.0034 3.0315 55.8723

-0.0025

0.0518 -0.0004 0.0521 0.0031 2.8136 53.9877

-0.0002

0.0509 0.0509 0.0030 3.5857 70.5032 0.0484 0.0484 0.0027 3.2668 67.5463-0.0291 -0.0291 -0.0011 -0.9588 32.9033 -0.0316 -0.0316 -0.0012 -1.1164 35.2881-0.0647 -0.0068 -0.0579 -0.0038 -4.5598 78.7441 -0.0604 -0.0002 -0.0602 -0.0041 -4.8979 81.3781

1.0986 238.0229 0.0661 238.2002

Page 11: CROSS-TUB-11 IT

Q Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ Q0.1933 0.1933 0.0029 2.6473 13.6983

-0.0009

0.1924 0.1924 0.0029 2.6250 13.6450

0.0000

0.19230.0570 -0.0017 0.0587 0.0003 0.3886 6.6190 0.0578 -0.0001 0.0579 0.0003 0.3788 6.5420 0.0579-0.0753 -0.0016 -0.0736 -0.0015 -1.3150 17.8545 -0.0745 -0.0001 -0.0744 -0.0015 -1.3409 18.0158 -0.0745-0.2067 -0.2067 -0.0014 -1.6456 7.9599 -0.2076 -0.2076 -0.0014 -1.6587 7.9888 -0.2077

0.0753 46.1316 0.0042 46.19160.1346 0.1346 0.0015 1.3540 10.0629

-0.0001

0.1345 0.1345 0.0015 1.3525 10.0577

-0.0006

0.13390.0946 0.0946 0.0023 2.7850 29.4534 0.0945 0.0945 0.0023 2.7805 29.4317 0.0939-0.0538 -0.0002 -0.0537 -0.0033 -2.9697 55.3462 -0.0537 -0.0009 -0.0528 -0.0032 -2.8818 54.5857 -0.0534-0.0588 -0.0001 -0.0587 -0.0010 -1.1520 19.6236 -0.0588 -0.0009 -0.0579 -0.0009 -1.1230 19.3954 -0.0585

0.0173 114.4860 0.1283 113.47050.0735 -0.0001 0.0736 0.0015 1.3150 17.8545

-0.0001

0.0735 -0.0009 0.0744 0.0015 1.3409 18.0158

-0.0006

0.07380.0585 -0.0002 0.0587 0.0039 4.6754 79.6560 0.0586 -0.0009 0.0595 0.0040 4.8009 80.6327 0.0589-0.0531 -0.0531 -0.0008 -0.7173 13.5103 -0.0532 -0.0532 -0.0008 -0.7198 13.5321 -0.0538-0.1331 -0.1331 -0.0044 -5.2451 39.4094 -0.1332 -0.1332 -0.0044 -5.2524 39.4348 -0.1338

0.0280 150.4303 0.1696 151.61540.0520 -0.0017 0.0537 0.0033 2.9697 55.3462

-0.0009

0.0527 -0.0001 0.0528 0.0032 2.8818 54.5857

-0.0001

0.05270.0482 0.0482 0.0027 3.2481 67.3677 0.0473 0.0473 0.0026 3.1310 66.2398 0.0472-0.0318 -0.0318 -0.0013 -1.1262 35.4306 -0.0327 -0.0327 -0.0013 -1.1891 36.3271 -0.0328-0.0603 -0.0016 -0.0587 -0.0039 -4.6754 79.6560 -0.0596 -0.0001 -0.0595 -0.0040 -4.8009 80.6327 -0.0596

0.4163 237.8005 0.0228 237.7854

Page 12: CROSS-TUB-11 IT

Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ Q0.1923 0.0029 2.6237 13.6420

-0.0003

0.1920 0.1920 0.0029 2.6156 13.6225

0.0000

0.1920-0.0006 0.0585 0.0003 0.3856 6.5960 0.0581 0.0000 0.0582 0.0003 0.3821 6.5680 0.0582 -0.0002-0.0006 -0.0739 -0.0015 -1.3225 17.9012 -0.0742 0.0000 -0.0742 -0.0015 -1.3320 17.9608 -0.0742 -0.0002

-0.2077 -0.0014 -1.6594 7.9904 -0.2080 -0.2080 -0.0014 -1.6642 8.0010 -0.20800.0275 46.1297 0.0015 46.1524

0.1339 0.0015 1.3411 10.0188

0.0000

0.1338 0.1338 0.0015 1.3406 10.0167

-0.0002

0.13360.0939 0.0023 2.7473 29.2695 0.0938 0.0938 0.0023 2.7456 29.2611 0.0936

-0.0001 -0.0534 -0.0033 -2.9385 55.0777 -0.0534 -0.0003 -0.0530 -0.0032 -2.9066 54.8015 -0.0533 0.00000.0000 -0.0585 -0.0010 -1.1433 19.5555 -0.0585 -0.0003 -0.0582 -0.0009 -1.1328 19.4726 -0.0584 0.0000

0.0067 113.9215 0.0468 113.55180.0000 0.0739 0.0015 1.3225 17.9012

0.0000

0.0738 -0.0003 0.0742 0.0015 1.3320 17.9608

-0.0002

0.0739 0.0000-0.0001 0.0590 0.0039 4.7187 79.9946 0.0590 -0.0003 0.0593 0.0040 4.7650 80.3547 0.0591 0.0000

-0.0538 -0.0008 -0.7350 13.6630 -0.0538 -0.0538 -0.0008 -0.7359 13.6704 -0.0541-0.1338 -0.0044 -5.2966 39.5872 -0.1338 -0.1338 -0.0044 -5.2991 39.5957 -0.1341

0.0095 151.1461 0.0620 151.5816-0.0006 0.0534 0.0033 2.9385 55.0777

-0.0003

0.0530 0.0000 0.0530 0.0032 2.9066 54.8015

0.0000

0.0530 -0.00020.0472 0.0026 3.1247 66.1778 0.0469 0.0469 0.0026 3.0824 65.7649 0.0469-0.0328 -0.0013 -1.1926 36.3762 -0.0331 -0.0331 -0.0014 -1.2159 36.7026 -0.0331

-0.0006 -0.0590 -0.0039 -4.7187 79.9946 -0.0593 0.0000 -0.0593 -0.0040 -4.7650 80.3547 -0.0593 -0.00020.1520 237.6264 0.0081 237.6237

Page 13: CROSS-TUB-11 IT

Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)0.1920 0.0029 2.6152 13.6215

-0.0001

0.1919 0.1919 0.0029 2.6122 13.6144

0.0000

0.1919 0.19190.0584 0.0003 0.3846 6.5878 0.0583 0.0000 0.0583 0.0003 0.3833 6.5776 0.0583 -0.0001 0.0583-0.0740 -0.0015 -1.3253 17.9188 -0.0741 0.0000 -0.0741 -0.0015 -1.3288 17.9407 -0.0741 -0.0001 -0.0740-0.2080 -0.0014 -1.6644 8.0016 -0.2081 -0.2081 -0.0014 -1.6662 8.0055 -0.2081 -0.2081

0.0101 46.1297 0.0005 46.13810.1336 0.0015 1.3364 10.0025

0.0000

0.1336 0.1336 0.0015 1.3362 10.0018

-0.0001

0.1335 0.13350.0936 0.0023 2.7336 29.2018 0.0936 0.0936 0.0023 2.7329 29.1988 0.0935 0.0935-0.0532 -0.0033 -2.9274 54.9814 -0.0533 -0.0001 -0.0531 -0.0032 -2.9157 54.8804 -0.0532 0.0000 -0.0532-0.0584 -0.0010 -1.1402 19.5312 -0.0584 -0.0001 -0.0583 -0.0009 -1.1364 19.5009 -0.0584 0.0000 -0.0583

0.0024 113.7170 0.0171 113.58180.0740 0.0015 1.3253 17.9188

0.0000

0.0739 -0.0001 0.0741 0.0015 1.3288 17.9407

-0.0001

0.0740 0.0000 0.07400.0591 0.0039 4.7348 80.1206 0.0591 -0.0001 0.0592 0.0040 4.7519 80.2529 0.0591 0.0000 0.0591-0.0541 -0.0008 -0.7415 13.7182 -0.0541 -0.0541 -0.0008 -0.7418 13.7207 -0.0541 -0.0541-0.1341 -0.0044 -5.3153 39.6515 -0.1341 -0.1341 -0.0044 -5.3162 39.6544 -0.1341 -0.1341

0.0033 151.4090 0.0227 151.56880.0532 0.0033 2.9274 54.9814

-0.0001

0.0531 0.0000 0.0531 0.0032 2.9157 54.8804

0.0000

0.0531 -0.0001 0.05320.0469 0.0026 3.0802 65.7429 0.0467 0.0467 0.0026 3.0648 65.5919 0.0467 0.0467-0.0331 -0.0014 -1.2172 36.7200 -0.0333 -0.0333 -0.0014 -1.2258 36.8392 -0.0333 -0.0333-0.0591 -0.0039 -4.7348 80.1206 -0.0592 0.0000 -0.0592 -0.0040 -4.7519 80.2529 -0.0592 -0.0001 -0.0591

0.0555 237.5650 0.0028 237.5644

Page 14: CROSS-TUB-11 IT

S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m)0.0029 2.6120 13.6140

0.0000

0.1918 0.1918 0.0029 2.6110 13.6114

0.0000

0.1918 0.1918 0.00290.0003 0.3842 6.5848 0.0583 0.0000 0.0583 0.0003 0.3837 6.5811 0.0583 0.0000 0.0583 0.0003-0.0015 -1.3263 17.9253 -0.0740 0.0000 -0.0740 -0.0015 -1.3276 17.9333 -0.0740 0.0000 -0.0740 -0.0015-0.0014 -1.6663 8.0057 -0.2082 -0.2082 -0.0014 -1.6669 8.0071 -0.2082 -0.2082 -0.0014

0.0037 46.1297 0.0002 46.13280.0015 1.3347 9.9966

0.0000

0.1335 0.1335 0.0015 1.3346 9.9963

0.0000

0.1335 0.1335 0.00150.0023 2.7285 29.1771 0.0935 0.0935 0.0023 2.7283 29.1761 0.0935 0.0935 0.0023-0.0032 -2.9233 54.9463 -0.0532 0.0000 -0.0532 -0.0032 -2.9190 54.9093 -0.0532 0.0000 -0.0532 -0.0032-0.0009 -1.1391 19.5223 -0.0584 0.0000 -0.0583 -0.0009 -1.1377 19.5112 -0.0583 0.0000 -0.0583 -0.0009

0.0009 113.6424 0.0063 113.59290.0015 1.3263 17.9253

0.0000

0.0740 0.0000 0.0740 0.0015 1.3276 17.9333

0.0000

0.0740 0.0000 0.0740 0.00150.0040 4.7408 80.1671 0.0591 0.0000 0.0592 0.0040 4.7471 80.2157 0.0591 0.0000 0.0592 0.0040-0.0008 -0.7438 13.7382 -0.0541 -0.0541 -0.0008 -0.7439 13.7391 -0.0542 -0.0542 -0.0008-0.0044 -5.3221 39.6748 -0.1341 -0.1341 -0.0044 -5.3224 39.6758 -0.1342 -0.1342 -0.0044

0.0011 151.5053 0.0083 151.56390.0032 2.9233 54.9463

0.0000

0.0532 0.0000 0.0532 0.0032 2.9190 54.9093

0.0000

0.0532 0.0000 0.0532 0.00320.0026 3.0640 65.5842 0.0467 0.0467 0.0025 3.0584 65.5290 0.0467 0.0467 0.0025-0.0014 -1.2262 36.8453 -0.0333 -0.0333 -0.0014 -1.2294 36.8888 -0.0333 -0.0333 -0.0014-0.0040 -4.7408 80.1671 -0.0592 0.0000 -0.0592 -0.0040 -4.7471 80.2157 -0.0592 0.0000 -0.0592 -0.0040

0.0203 237.5429 0.0010 237.5428

Page 15: CROSS-TUB-11 IT

HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m)2.6109 13.6113

0.0000

0.1918 0.1918 0.0029 2.6105 13.6103

0.0000

0.1918 0.1918 0.0029 2.61050.3841 6.5837 0.0583 0.0000 0.0583 0.0003 0.3839 6.5824 0.0583 0.0000 0.0583 0.0003 0.3840-1.3267 17.9276 -0.0740 0.0000 -0.0740 -0.0015 -1.3272 17.9306 -0.0740 0.0000 -0.0740 -0.0015 -1.3268-1.6669 8.0071 -0.2082 -0.2082 -0.0014 -1.6672 8.0076 -0.2082 -0.2082 -0.0014 -1.66720.0013 46.1298 0.0001 46.1309 0.00051.3341 9.9945

0.0000

0.1335 0.1335 0.0015 1.3341 9.9944

0.0000

0.1335 0.1335 0.0015 1.33392.7267 29.1682 0.0935 0.0935 0.0023 2.7266 29.1678 0.0935 0.0935 0.0023 2.7260-2.9218 54.9335 -0.0532 0.0000 -0.0532 -0.0032 -2.9202 54.9199 -0.0532 0.0000 -0.0532 -0.0032 -2.9213-1.1387 19.5191 -0.0583 0.0000 -0.0583 -0.0009 -1.1382 19.5150 -0.0583 0.0000 -0.0583 -0.0009 -1.13850.0003 113.6152 0.0023 113.5971 0.00011.3267 17.9276

0.0000

0.0740 0.0000 0.0740 0.0015 1.3272 17.9306

0.0000

0.0740 0.0000 0.0740 0.0015 1.32684.7430 80.1842 0.0592 0.0000 0.0592 0.0040 4.7453 80.2020 0.0592 0.0000 0.0592 0.0040 4.7438-0.7447 13.7454 -0.0542 -0.0542 -0.0008 -0.7447 13.7458 -0.0542 -0.0542 -0.0008 -0.7450-5.3246 39.6833 -0.1342 -0.1342 -0.0044 -5.3247 39.6836 -0.1342 -0.1342 -0.0044 -5.32550.0004 151.5406 0.0030 151.5620 0.00012.9218 54.9335

0.0000

0.0532 0.0000 0.0532 0.0032 2.9202 54.9199

0.0000

0.0532 0.0000 0.0532 0.0032 2.92133.0582 65.5263 0.0467 0.0467 0.0025 3.0561 65.5061 0.0467 0.0467 0.0025 3.0560-1.2295 36.8909 -0.0333 -0.0333 -0.0014 -1.2307 36.9069 -0.0333 -0.0333 -0.0014 -1.2308-4.7430 80.1842 -0.0592 0.0000 -0.0592 -0.0040 -4.7453 80.2020 -0.0592 0.0000 -0.0592 -0.0040 -4.74380.0074 237.5349 0.0004 237.5348 0.0027

Page 16: CROSS-TUB-11 IT

6/4/2003

HL/Q ΔQ Q Qn (m3/s)13.6103

0.0000

0.1918 0.19186.5833 0.0583 0.0000 0.0583

17.9285 -0.0740 0.0000 -0.07408.0077 -0.2082 -0.2082

46.12989.9937

0.0000

0.1335 0.133529.1649 0.0935 0.093554.9288 -0.0532 0.0000 -0.053219.5179 -0.0583 0.0000 -0.0583113.605217.9285

0.0000

0.0740 0.0000 0.074080.1905 0.0592 0.0000 0.059213.7481 -0.0542 -0.054239.6863 -0.1342 -0.1342151.553454.9288

0.0000

0.0532 0.0000 0.053265.5051 0.0466 0.046636.9076 -0.0334 -0.033480.1905 -0.0592 0.0000 -0.0592237.5320

900m-50cm-160lps 900m-50cm-120lps

900m-40cm-80lps

900m-40cm-80lps 900m-30cm-40lps

900m-30cm-60lps

1200

m-6

0 c

m-2

40lp

s

1200

m-4

0 c

m-4

0lps

1200

m-4

0 c

m-8

0lps

1200

m-3

0 c

m-4

0lps

1200

m-3

0 c

m-4

0lps

1200

m-4

0 c

m-1

60lp

s

A B C

D

E

IHG

F

400 lps

40 lps

100 lps

80 lps80 lps80 lps

20 lps

Page 17: CROSS-TUB-11 IT

METODO DE CROSS EN REDES DE TUBERIASING. J. CARLOS MTZ. LUGO

C= 130 TERMNINA 1No ITER=

TRAMO D (pulg) LONG (PULG) Qs(m3/s) S(m/1000pulg) HL (pulg) HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m)A-B 0.1800 1000.0000 0.0700 0.0400 39.9745 571.0642

-0.0303

0.0397 0.0397 0.0140 13.9960B-G 0.1800 800.0000 0.0600 0.0300 24.0379 400.6325 0.0297 0.0105 0.0192 0.0037 2.9207G-I 0.1800 800.0000 0.0200 0.0039 3.1430 157.1482 -0.0103 0.0099 -0.0202 -0.0040 -3.2098I-J 0.2400 1000.0000 -0.0300 -0.0021 -2.0504 68.3479 -0.0603 -0.0603 -0.0075 -7.4661J-A 0.2400 1000.0000 0.0700 0.0098 9.8466 140.6653 0.0397 0.0397 0.0034 3.4475

SUMATORIA 74.9515 1337.8581 9.6883B-C 0.1800 500.0000 0.0100 0.0011 0.5442 54.4198

0.0105

0.0205 0.0205 0.0041 2.0551C-F 0.1800 800.0000 0.0300 0.0083 6.6594 221.9797 0.0405 0.0087 0.0318 0.0093 7.4111F-G 0.1200 500.0000 -0.0100 -0.0078 -3.9209 392.0904 0.0005 0.0099 -0.0095 -0.0071 -3.5321G-B 0.1800 800.0000 -0.0600 -0.0300 -24.0379 400.6325 -0.0495 -0.0303 -0.0192 -0.0037 -2.9207

SUMATORIA -20.7553 1069.1223 3.0134C-D 0.1800 500.0000 -0.0200 -0.0039 -1.9644 98.2177

0.0087

-0.0113 -0.0113 -0.0014 -0.6813D-E 0.1800 800.0000 -0.0400 -0.0142 -11.3449 283.6237 -0.0313 -0.0313 -0.0090 -7.1993E-F 0.1200 500.0000 0.0100 0.0078 3.9209 392.0904 0.0187 0.0099 0.0088 0.0061 3.0714F-C 0.1800 800.0000 -0.0300 -0.0083 -6.6594 221.9797 -0.0213 0.0105 -0.0318 -0.0093 -7.4111

SUMATORIA -16.0478 995.9114 -12.2203G-F 0.1200 500.0000 0.0100 0.0078 3.9209 392.0904

0.0099

0.0199 0.0105 0.0095 0.0071 3.5321F-E 0.1200 500.0000 -0.0100 -0.0078 -3.9209 392.0904 -0.0001 0.0087 -0.0088 -0.0061 -3.0714E-H 0.1800 800.0000 -0.0500 -0.0214 -17.1501 343.0011 -0.0401 -0.0401 -0.0142 -11.3736H-I 0.2400 1000.0000 -0.0500 -0.0053 -5.2805 105.6106 -0.0401 -0.0401 -0.0035 -3.5020I-G 0.1800 800.0000 -0.0200 -0.0039 -3.1430 157.1482 -0.0101 -0.0303 0.0202 0.0040 3.2098

SUMATORIA -25.5735 1389.9408 -14.4149

Page 18: CROSS-TUB-11 IT

HL/Q ΔQ Q Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m) HL/Q352.3919

-0.0060

0.0337 0.0337 0.0103 10.3377 306.5483

0.0033

0.0370 0.0370 0.0123 12.3040 332.1128151.9343 0.0132 -0.0019 0.0151 0.0023 1.8735 123.8661 0.0184 0.0028 0.0156 0.0025 1.9892 127.3299158.6758 -0.0262 0.0076 -0.0338 -0.0104 -8.2962 245.5943 -0.0305 0.0009 -0.0314 -0.0090 -7.2365 230.6304123.8509 -0.0663 -0.0663 -0.0089 -8.8989 134.2671 -0.0630 -0.0630 -0.0081 -8.0899 128.507686.8016

873.6544 -4.9839 810.2758 -1.0331 818.5808100.2793

-0.0019

0.0186 0.0186 0.0034 1.7169 92.3199

0.0028

0.0214 0.0214 0.0045 2.2313 104.1474233.1736 0.0299 0.0299 0.0083 6.6133 221.2709 0.0327 0.0327 0.0098 7.8181 238.9798373.7012 -0.0113 0.0071 -0.0185 -0.0244 -12.2016 660.9684 -0.0156 -0.0017 -0.0140 -0.0146 -7.2887 521.4917151.9343 -0.0211 -0.0060 -0.0151 -0.0023 -1.8735 123.8661 -0.0123 0.0033 -0.0156 -0.0025 -1.9892 127.3299859.0884 -5.7449 1098.4254 0.7715 991.948760.3450

0.0076

-0.0037 -0.0060 0.0023 0.0001 0.0347 15.3412

0.0009

0.0032 0.0033 -0.0001 0.0000 -0.0002 1.4449230.0847 -0.0237 0.0071 -0.0308 -0.0088 -7.0108 227.2939 -0.0299 -0.0017 -0.0283 -0.0075 -5.9645 211.0065350.4335 0.0163 0.0163 0.0194 9.7145 595.1717 0.0172 0.0172 0.0215 10.7547 623.6838233.1736 -0.0242 -0.0242 -0.0056 -4.4824 185.0244 -0.0233 -0.0233 -0.0052 -4.1717 179.0108874.0368 -1.7441 1022.8312 0.6183 ###373.7012

0.0071

0.0166 -0.0019 0.0185 0.0244 12.2016 660.9684

-0.0017

0.0168 0.0028 0.0140 0.0146 7.2887 521.4917350.4335 -0.0017 -0.0017 -0.0003 -0.1398 84.5844 -0.0033 -0.0033 -0.0010 -0.5057 152.8286283.9533 -0.0329 -0.0329 -0.0099 -7.9191 240.3942 -0.0346 -0.0346 -0.0108 -8.6723 250.654087.4297 -0.0329 0.0076 -0.0405 -0.0036 -3.5744 88.2566 -0.0422 0.0009 -0.0431 -0.0040 -4.0071 93.0205

158.6758 0.0202 0.0202 0.0040 3.2098 158.67581095.5178 3.7782 1232.8794 -5.8964 ###

Page 19: CROSS-TUB-11 IT

ΔQ Q Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ

0.0007

0.0377 0.0377 0.0127 12.7268 337.3156

-0.0002

0.0376 0.0376 0.0126 12.6265 336.0901

0.0005

0.0163 -0.0004 0.0167 0.0028 2.2570 134.9465 0.0166 0.0017 0.0148 0.0023 1.8054 121.7754-0.0307 -0.0003 -0.0304 -0.0085 -6.8105 224.2819 -0.0305 0.0007 -0.0312 -0.0090 -7.1632 229.5521-0.0623 -0.0623 -0.0079 -7.9283 127.3203 -0.0624 -0.0624 -0.0080 -7.9662 127.6005

0.2452 823.8643 -0.6974 815.0181

-0.0004

0.0210 0.0210 0.0043 2.1509 102.4038

0.0017

0.0227 0.0227 0.0050 2.4922 109.5821

-0.0001

0.0323 0.0323 0.0095 7.6331 236.3610 0.0340 0.0340 0.0105 8.4116 247.1593-0.0144 0.0031 -0.0175 -0.0222 -11.0851 632.4248 -0.0158 -0.0002 -0.0156 -0.0178 -8.9103 571.9786-0.0160 0.0007 -0.0167 -0.0028 -2.2570 134.9465 -0.0150 -0.0002 -0.0148 -0.0023 -1.8054 121.7754

-3.5581 ### 0.1881 ###

-0.0003

-0.0005 0.0007 -0.0012 0.0000 -0.0100 8.6395

0.0007

-0.0005 -0.0002 -0.0003 0.0000 -0.0009 2.8488

0.0000

-0.0286 0.0031 -0.0317 -0.0092 -7.3866 232.8186 -0.0310 -0.0002 -0.0308 -0.0088 -7.0076 227.24620.0169 0.0169 0.0208 10.3776 613.5251 0.0176 0.0176 0.0223 11.1615 634.4272-0.0236 -0.0236 -0.0054 -4.2815 181.1630 -0.0230 -0.0230 -0.0051 -4.0567 176.7232

-1.3005 ### 0.0963 ###

0.0031

0.0171 -0.0004 0.0175 0.0222 11.0851 632.4248

-0.0002

0.0173 0.0017 0.0156 0.0178 8.9103 571.9786

0.0012

-0.0002 -0.0002 0.0000 -0.0023 12.6648 -0.0004 -0.0004 0.0000 -0.0096 24.6680-0.0315 -0.0315 -0.0091 -7.2753 231.1979 -0.0317 -0.0317 -0.0092 -7.3659 232.5184-0.0399 -0.0003 -0.0396 -0.0034 -3.4316 86.6167 -0.0398 0.0007 -0.0405 -0.0036 -3.5756 88.2707

0.3760 962.9043 -2.0408 917.4357

Page 20: CROSS-TUB-11 IT

Q Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ Q0.0380 0.0380 0.0129 12.9159 339.6118

0.0000

0.0380 0.0380 0.0129 12.8971 339.3835

0.0002

0.03820.0153 -0.0001 0.0154 0.0024 1.9336 125.6780 0.0154 0.0007 0.0146 0.0022 1.7658 120.5376 0.0148-0.0307 0.0000 -0.0307 -0.0087 -6.9468 226.3364 -0.0307 0.0003 -0.0310 -0.0088 -7.0718 228.2007 -0.0308-0.0620 -0.0620 -0.0079 -7.8573 126.7947 -0.0620 -0.0620 -0.0079 -7.8643 126.8470 -0.0618

0.0454 818.4209 -0.2733 814.96880.0226 0.0226 0.0049 2.4726 109.1848

0.0007

0.0234 0.0234 0.0052 2.6173 112.0780

0.0000

0.02330.0339 0.0339 0.0105 8.3673 246.5605 0.0346 0.0346 0.0109 8.6926 250.9236 0.0346-0.0157 0.0012 -0.0169 -0.0207 -10.3351 612.3695 -0.0162 -0.0001 -0.0161 -0.0189 -9.4620 588.0039 -0.0161-0.0149 0.0005 -0.0154 -0.0024 -1.9336 125.6780 -0.0147 0.0000 -0.0146 -0.0022 -1.7658 120.5376 -0.0147

-1.4287 ### 0.0821 ###-0.0004 0.0005 -0.0008 0.0000 -0.0054 6.5036

0.0003

-0.0006 0.0000 -0.0005 0.0000 -0.0024 4.4494

0.0000

-0.0005-0.0309 0.0012 -0.0321 -0.0094 -7.5438 235.0847 -0.0318 -0.0001 -0.0317 -0.0092 -7.3936 232.9207 -0.03180.0175 0.0175 0.0222 11.1029 632.8913 0.0178 0.0178 0.0228 11.4178 641.0867 0.0178-0.0230 -0.0230 -0.0051 -4.0731 177.0510 -0.0227 -0.0227 -0.0050 -3.9860 175.2992 -0.0228

-0.5194 ### 0.0358 ###0.0168 -0.0001 0.0169 0.0207 10.3351 612.3695

-0.0001

0.0168 0.0007 0.0161 0.0189 9.4620 588.0039

0.0005

0.01660.0008 0.0008 0.0001 0.0376 46.2563 0.0007 0.0007 0.0001 0.0311 42.3763 0.0012-0.0305 -0.0305 -0.0086 -6.8566 224.9791 -0.0306 -0.0306 -0.0086 -6.8897 225.4789 -0.0301-0.0393 0.0000 -0.0393 -0.0034 -3.3736 85.9405 -0.0393 0.0003 -0.0396 -0.0034 -3.4289 86.5862 -0.0391

0.1426 969.5453 -0.8256 942.4454

Page 21: CROSS-TUB-11 IT

Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q0.0382 0.0130 13.0112 340.7620

0.0000

0.0382 0.0382 0.0130 13.0039 340.6736

0.0001

0.03820.0000 0.0149 0.0023 1.8158 122.0967 0.0149 0.0003 0.0146 0.0022 1.7504 120.0537 0.0147 0.00000.0000 -0.0308 -0.0087 -6.9877 226.9478 -0.0308 0.0001 -0.0309 -0.0088 -7.0372 227.6861 -0.0308 0.0000

-0.0618 -0.0078 -7.8218 126.5310 -0.0618 -0.0618 -0.0078 -7.8245 126.5513 -0.0618

0.0176 816.3375 -0.1074 814.96460.0233 0.0052 2.6087 111.9086

0.0003

0.0236 0.0236 0.0053 2.6670 113.0529

0.0000

0.02360.0346 0.0108 8.6733 250.6680 0.0349 0.0349 0.0110 8.8038 252.3954 0.0349

0.0005 -0.0166 -0.0201 -10.0303 603.9948 -0.0163 0.0000 -0.0163 -0.0194 -9.6799 594.1941 -0.0163 0.00020.0002 -0.0149 -0.0023 -1.8158 122.0967 -0.0146 0.0000 -0.0146 -0.0022 -1.7504 120.0537 -0.0146 0.0001

-0.5641 ### 0.0406 ###0.0002 -0.0007 0.0000 -0.0043 5.8447

0.0001

-0.0006 0.0000 -0.0006 0.0000 -0.0031 5.0307

0.0000

-0.0006 0.00010.0005 -0.0322 -0.0095 -7.6072 235.9918 -0.0321 0.0000 -0.0321 -0.0094 -7.5453 235.1072 -0.0321 0.0002

0.0178 0.0228 11.3960 640.5230 0.0179 0.0179 0.0230 11.5220 643.7722 0.0179-0.0228 -0.0050 -3.9920 175.4199 -0.0227 -0.0227 -0.0049 -3.9576 174.7237 -0.0227

-0.2074 ### 0.0160 ###0.0000 0.0166 0.0201 10.0303 603.9948

0.0000

0.0166 0.0003 0.0163 0.0194 9.6799 594.1941

0.0002

0.0165 0.00000.0012 0.0002 0.0782 64.7573 0.0012 0.0012 0.0001 0.0740 63.1177 0.0014-0.0301 -0.0084 -6.6933 222.4990 -0.0301 -0.0301 -0.0084 -6.7081 222.7246 -0.0299

0.0000 -0.0391 -0.0034 -3.3505 85.6693 -0.0391 0.0001 -0.0393 -0.0034 -3.3730 85.9338 -0.0391 0.0000

0.0647 976.9204 -0.3273 965.9702

Page 22: CROSS-TUB-11 IT

Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)0.0382 0.0130 13.0489 341.2152

0.0000

0.0382 0.0382 0.0130 13.0455 341.1743

0.0000

0.0383 0.03830.0147 0.0022 1.7708 120.6956 0.0147 0.0001 0.0146 0.0022 1.7454 119.8952 0.0146 0.0000 0.0146-0.0308 -0.0088 -7.0037 227.1875 -0.0308 0.0000 -0.0309 -0.0088 -7.0233 227.4795 -0.0308 0.0000 -0.0308-0.0618 -0.0078 -7.8078 126.4271 -0.0618 -0.0618 -0.0078 -7.8091 126.4364 -0.0617 -0.0617

0.0081 815.5254 -0.0416 814.98530.0236 0.0053 2.6628 112.9700

0.0001

0.0237 0.0237 0.0054 2.6856 113.4140

0.0000

0.0237 0.02370.0349 0.0110 8.7943 252.2702 0.0350 0.0350 0.0111 8.8452 252.9406 0.0350 0.0350-0.0165 -0.0198 -9.9049 600.5095 -0.0164 0.0000 -0.0164 -0.0195 -9.7682 596.6830 -0.0164 0.0001 -0.0164-0.0147 -0.0022 -1.7708 120.6956 -0.0146 0.0000 -0.0146 -0.0022 -1.7454 119.8952 -0.0146 0.0000 -0.0146

-0.2186 ### 0.0172 ###-0.0007 0.0000 -0.0039 5.5827

0.0000

-0.0006 0.0000 -0.0006 0.0000 -0.0034 5.2607

0.0000

-0.0006 0.0000 -0.0007-0.0323 -0.0095 -7.6289 236.3005 -0.0322 0.0000 -0.0322 -0.0095 -7.6045 235.9534 -0.0322 0.0001 -0.03230.0179 0.0230 11.5123 643.5214 0.0179 0.0179 0.0231 11.5613 644.7814 0.0179 0.0179-0.0227 -0.0050 -3.9602 174.7774 -0.0226 -0.0226 -0.0049 -3.9469 174.5072 -0.0226 -0.0226

-0.0807 ### 0.0065 ###0.0165 0.0198 9.9049 600.5095

0.0000

0.0165 0.0001 0.0164 0.0195 9.7682 596.6830

0.0001

0.0164 0.0000 0.01640.0014 0.0002 0.0968 71.4294 0.0013 0.0013 0.0002 0.0949 70.7761 0.0014 0.0014-0.0299 -0.0083 -6.6327 221.5705 -0.0299 -0.0299 -0.0083 -6.6387 221.6621 -0.0299 -0.0299-0.0391 -0.0033 -3.3426 85.5769 -0.0391 0.0000 -0.0391 -0.0034 -3.3515 85.6807 -0.0390 0.0000 -0.0390

0.0263 979.0863 -0.1271 974.8020

Page 23: CROSS-TUB-11 IT

S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s) S(m/1000m)0.0131 13.0629 341.3837

0.0000

0.0383 0.0383 0.0131 13.0615 341.3668

0.0000

0.0383 0.0383 0.01310.0022 1.7534 120.1486 0.0146 0.0000 0.0145 0.0022 1.7436 119.8390 0.0146 0.0000 0.0146 0.0022-0.0088 -7.0103 227.2857 -0.0308 0.0000 -0.0309 -0.0088 -7.0179 227.3991 -0.0309 0.0000 -0.0308 -0.0088-0.0078 -7.8026 126.3884 -0.0617 -0.0617 -0.0078 -7.8032 126.3923 -0.0617 -0.0617 -0.0078

0.0033 815.2064 -0.0160 814.99720.0054 2.6838 113.3790

0.0000

0.0237 0.0237 0.0054 2.6926 113.5500

0.0000

0.0237 0.0237 0.00540.0111 8.8412 252.8877 0.0350 0.0350 0.0111 8.8608 253.1460 0.0350 0.0350 0.0111-0.0197 -9.8557 599.1361 -0.0164 0.0000 -0.0164 -0.0196 -9.8029 597.6560 -0.0164 0.0000 -0.0164 -0.0197-0.0022 -1.7534 120.1486 -0.0146 0.0000 -0.0145 -0.0022 -1.7436 119.8390 -0.0146 0.0000 -0.0146 -0.0022

-0.0842 ### 0.0069 ###0.0000 -0.0037 5.4749

0.0000

-0.0007 0.0000 -0.0007 0.0000 -0.0035 5.3498

0.0000

-0.0007 0.0000 -0.0007 0.0000-0.0095 -7.6368 236.4135 -0.0323 0.0000 -0.0323 -0.0095 -7.6273 236.2787 -0.0323 0.0000 -0.0323 -0.00950.0231 11.5574 644.6799 0.0179 0.0179 0.0232 11.5763 645.1652 0.0179 0.0179 0.0231-0.0049 -3.9480 174.5289 -0.0226 -0.0226 -0.0049 -3.9429 174.4248 -0.0226 -0.0226 -0.0049

-0.0311 ### 0.0026 ###0.0197 9.8557 599.1361

0.0000

0.0164 0.0000 0.0164 0.0196 9.8029 597.6560

0.0000

0.0164 0.0000 0.0164 0.01970.0002 0.1043 73.9336 0.0014 0.0014 0.0002 0.1035 73.6756 0.0014 0.0014 0.0002-0.0083 -6.6098 221.2178 -0.0299 -0.0299 -0.0083 -6.6122 221.2542 -0.0299 -0.0299 -0.0083-0.0033 -3.3398 85.5430 -0.0390 0.0000 -0.0391 -0.0033 -3.3432 85.5834 -0.0390 0.0000 -0.0390 -0.0033

0.0105 979.8306 -0.0490 978.1692

Page 24: CROSS-TUB-11 IT

6/4/2003

HL (m) HL/Q ΔQ Q Qn (m3/s)13.0682 341.4474

0.0000

0.0383 0.03831.7467 119.9376 0.0146 0.0000 0.0145-7.0129 227.3242 -0.0309 0.0000 -0.0309-7.8007 126.3738 -0.0617 -0.0617

0.0013 815.08312.6919 113.5359

0.0000

0.0237 0.02378.8592 253.1247 0.0350 0.0350-9.8367 598.6029 -0.0164 0.0000 -0.0164-1.7467 119.9376 -0.0145 0.0000 -0.0145-0.0323 ###-0.0036 5.4324

0.0000

-0.0007 0.0000 -0.0007-7.6397 236.4556 -0.0323 0.0000 -0.032311.5747 645.1248 0.0179 0.0179-3.9433 174.4335 -0.0226 -0.0226-0.0120 ###9.8367 598.6029

0.0000

0.0164 0.0000 0.01640.1072 74.8825 0.0014 0.0014-6.6011 221.0836 -0.0299 -0.0299-3.3387 85.5304 -0.0390 0.0000 -0.0390

0.0041 980.0994

900m-50cm-160lps 900m-50cm-120lps

900m-40cm-80lps

900m-40cm-80lps 900m-30cm-40lps

900m-30cm-60lps

1200

m-6

0 c

m-2

40lp

s

1200

m-4

0 c

m-4

0lps

1200

m-4

0 c

m-8

0lps

1200

m-3

0 c

m-4

0lps

1200

m-3

0 c

m-4

0lps

1200

m-4

0 c

m-1

60lp

s

A B C

D

E

IHG

F

400 lps

40 lps

100 lps

80 lps80 lps80 lps

20 lps

Page 25: CROSS-TUB-11 IT

40 lps

100 lps

Page 26: CROSS-TUB-11 IT

METODO DE CROSS EN TUBERIASING. J. CARLOS MTZ. LUGO

C= 130TRAMO D (m) LONG (m) Qs(m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m)

AD 0.1500 100.0000 0.0400 0.0345 3.4463 86.1578

-0.0057

0.0343 0.0343 0.0259 2.5914DE 0.1000 150.0000 0.0200 0.0688 10.3184 515.9201 0.0143 0.0143 0.0369 5.5386EB 0.1000 158.1139 -0.0070 -0.0098 -1.5566 222.3693 -0.0127 -0.0031 -0.0096 -0.0177 -2.7999BA 0.1500 100.0000 -0.0350 -0.0269 -2.6913 76.8943 -0.0407 -0.0407 -0.0356 -3.5600

9.5168 901.3414 1.7701BE 0.1000 158.1139 0.0070 0.0098 1.5566 222.3693

-0.0031

0.0039 -0.0057 0.0096 0.0177 2.7999EC 0.1000 212.1320 0.0120 0.0267 5.6663 472.1882 0.0089 0.0089 0.0154 3.2607CB 0.1000 150.0000 -0.0080 -0.0126 -1.8910 236.3723 -0.0111 -0.0111 -0.0231 -3.4657

5.3319 930.9297 2.5950

Page 27: CROSS-TUB-11 IT

HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m)75.5685

-0.0011

0.0332 0.0332 0.0243 2.4346 73.4298

-0.0005

0.0326 0.0326 0.0236 2.3620387.5107 0.0132 0.0132 0.0317 4.7507 361.1020 0.0126 0.0126 0.0293 4.3971291.3160 -0.0107 -0.0014 -0.0093 -0.0167 -2.6351 283.2989 -0.0098 -0.0004 -0.0095 -0.0173 -2.727787.4539 -0.0418 -0.0418 -0.0375 -3.7463 89.5296 -0.0424 -0.0424 -0.0384 -3.8360

841.8491 0.8040 807.3602 0.1954291.3160

-0.0014

0.0082 -0.0011 0.0093 0.0167 2.6351 283.2989

-0.0004

0.0089 -0.0005 0.0095 0.0173 2.7277366.2027 0.0075 0.0075 0.0111 2.3483 314.8811 0.0071 0.0071 0.0101 2.1409312.3361 -0.0125 -0.0125 -0.0290 -4.3483 346.6969 -0.0129 -0.0129 -0.0306 -4.5845969.8548 -0.0014 -0.0014 0.6351 944.8769 -0.0018 -0.0018 0.2840

Page 28: CROSS-TUB-11 IT

HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m) HL (m)72.4131

-0.0001

0.0325 0.0325 0.0234 2.3443 72.1631

-0.0001

0.0324 0.0324 0.0234 2.3364348.4780 0.0125 0.0125 0.0287 4.3122 345.3668 0.0124 0.0124 0.0285 4.2745287.8314 -0.0096 -0.0002 -0.0094 -0.0171 -2.7115 287.0459 -0.0095 0.0000 -0.0095 -0.0172 -2.721490.5097 -0.0425 -0.0425 -0.0386 -3.8582 90.7500 -0.0426 -0.0426 -0.0387 -3.8681

799.2321 0.0868 795.3259 0.0215287.8314

-0.0002

0.0093 -0.0001 0.0094 0.0171 2.7115 287.0459

0.0000

0.0094 -0.0001 0.0095 0.0172 2.7214301.7654 0.0069 0.0069 0.0097 2.0509 295.8677 0.0069 0.0069 0.0096 2.0288355.2341 -0.0131 -0.0131 -0.0313 -4.6920 359.0406 -0.0131 -0.0131 -0.0315 -4.7189944.8308 -0.0020 -0.0020 0.0705 941.9541 -0.0020 -0.0020 0.0313

Page 29: CROSS-TUB-11 IT

HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m) HL (m)72.0515

0.0000

0.0324 0.0324 0.0233 2.3344 72.0238

0.0000

0.0324 0.0324 0.0233 2.3336343.9767 0.0124 0.0124 0.0284 4.2652 343.6320 0.0124 0.0124 0.0284 4.2611287.5254 -0.0095 0.0000 -0.0095 -0.0172 -2.7196 287.4388 -0.0095 0.0000 -0.0095 -0.0172 -2.720790.8573 -0.0426 -0.0426 -0.0387 -3.8705 90.8838 -0.0426 -0.0426 -0.0387 -3.8716

794.4109 0.0095 793.9785 0.0024287.5254

0.0000

0.0094 0.0000 0.0095 0.0172 2.7196 287.4388

0.0000

0.0095 0.0000 0.0095 0.0172 2.7207294.3964 0.0069 0.0069 0.0095 2.0191 293.7425 0.0069 0.0069 0.0095 2.0166359.9870 -0.0131 -0.0131 -0.0315 -4.7309 360.4072 -0.0131 -0.0131 -0.0316 -4.7338941.9089 -0.0020 -0.0020 0.0078 941.5885 -0.0020 -0.0020 0.0035

Page 30: CROSS-TUB-11 IT

ΔQ Q Qn (m3/s)

0.0000

0.0324 0.03240.0124 0.0124-0.0095 0.0000 -0.0095-0.0426 -0.0426

0.0000

0.0095 0.0000 0.00950.0069 0.0069-0.0131 -0.0131-0.0020 -0.0020

PERDIDAS DE CARGAA-B-C -8.6055

A-D-E-C 8.6113A-B-E-C 8.6089

75 lps

150 m-4"

150 m-4"

150 m-4"

150 m-4"

100

m-6

"

100 m-6"A B

D E

C

2

4

36

5

1

15 lps

20 lps

20 lps

20 lps

Page 31: CROSS-TUB-11 IT

METODO DE CROSS EN TUBERIASING. J. CARLOS MTZ. LUGO

C= 100No ITER=

TRAMO D (m) LONG (m) Qs(m3/s) S(m/1000m) HL (m) HL/Q ΔQA-B 0.5000 900.0000 0.1600 0.0021 1.8660 11.6626

0.0199

B-E 0.5000 1200.0000 0.0400 0.0002 0.1910 4.7739E-F 0.4000 900.0000 -0.0800 -0.0017 -1.5326 19.1580F-A 0.6000 1200.0000 -0.2400 -0.0018 -2.1692 9.0385

-1.6449 44.6330B-C 0.5000 900.0000 0.1200 0.0012 1.0953 9.1278

0.0053

C-D 0.4000 1200.0000 0.0800 0.0017 2.0435 25.5440D-E 0.3000 900.0000 -0.0600 -0.0041 -3.6523 60.8722E-B 0.4000 1200.0000 -0.0400 -0.0005 -0.5661 14.1533

-1.0796 109.6973F-E 0.4000 900.0000 0.0800 0.0017 1.5326 19.1580

0.0193

E-H 0.3000 1200.0000 0.0400 0.0019 2.2983 57.4585H-G 0.4000 900.0000 -0.0800 -0.0017 -1.5326 19.1580G-F 0.4000 1200.0000 -0.1600 -0.0061 -7.3764 46.1023

-5.0780 141.8768E-D 0.3000 900.0000 0.0600 0.0041 3.6523 60.8722

-0.0048

D-I 0.3000 1200.0000 0.0400 0.0019 2.2983 57.4585I-H 0.3000 900.0000 -0.0400 -0.0019 -1.7238 43.0939H-E 0.3000 1200.0000 -0.0400 -0.0019 -2.2983 57.4585

1.9286 218.8832

Page 32: CROSS-TUB-11 IT

Q Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q0.1799 0.1799 0.0026 2.3189 12.8887

0.0081

0.18810.0599 0.0053 0.0546 0.0003 0.3398 6.2229 0.0627 0.0006-0.0601 0.0193 -0.0794 -0.0017 -1.5123 19.0408 -0.0713 -0.0010-0.2201 -0.2201 -0.0015 -1.8476 8.3953 -0.2119

-0.7012 46.54770.1253 0.1253 0.0013 1.1870 9.4714

0.0006

0.12590.0853 0.0853 0.0019 2.3023 26.9841 0.0859-0.0547 -0.0048 -0.0499 -0.0029 -2.5978 52.0424 -0.0493 0.0073-0.0347 0.0199 -0.0546 -0.0008 -1.0074 18.4492 -0.0540 0.0081

-0.1160 106.94710.0993 0.0199 0.0794 0.0017 1.5123 19.0408

-0.0010

0.0785 0.00810.0593 -0.0048 0.0641 0.0046 5.5054 85.8751 0.0631 0.0073-0.0607 -0.0607 -0.0010 -0.9179 15.1331 -0.0616-0.1407 -0.1407 -0.0048 -5.8102 41.3089 -0.1416

0.2897 161.35790.0552 0.0053 0.0499 0.0029 2.5978 52.0424

0.0073

0.0572 0.00060.0352 0.0352 0.0015 1.8174 51.5767 0.0426-0.0448 -0.0448 -0.0024 -2.1230 47.4279 -0.0374-0.0448 0.0193 -0.0641 -0.0046 -5.5054 85.8751 -0.0568 -0.0010

-3.2132 236.9222

Page 33: CROSS-TUB-11 IT

Qn (m3/s)0.18810.0622-0.0703-0.2119

0.12590.0859-0.0567-0.0622

0.07030.0558-0.0616-0.1416

0.05670.0426-0.0374-0.0558

Page 34: CROSS-TUB-11 IT

METODO DE CROSS EN TUBERIASING. J. CARLOS MTZ. LUGO

C= 100No ITER=

TRAMO D (m) LONG (m) Qs(m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)A-B 0.50 900.00 0.160 0.0021 1.8660 11.6626

0.0199

0.1799 0.1799 0.0026 2.3189 12.8887

0.0081

0.1881 0.1881B-E 0.50 1200.00 0.040 0.0002 0.1910 4.7739 0.0599 0.0053 0.0546 0.0003 0.3398 6.2229 0.0627 0.0006 0.0622E-F 0.40 900.00 -0.080 -0.0017 -1.5326 19.1580 -0.0601 0.0193 -0.0794 -0.0017 -1.5123 19.0408 -0.0713 -0.0010 -0.0703F-A 0.60 1200.00 -0.240 -0.0018 -2.1692 9.0385 -0.2201 -0.2201 -0.0015 -1.8476 8.3953 -0.2119 -0.2119

-1.6449 44.6330 -0.7012 46.5477B-C 0.50 900.00 0.120 0.0012 1.0953 9.1278

0.0053

0.1253 0.1253 0.0013 1.1870 9.4714

0.0006

0.1259 0.1259C-D 0.40 1200.00 0.080 0.0017 2.0435 25.5440 0.0853 0.0853 0.0019 2.3023 26.9841 0.0859 0.0859D-E 0.30 900.00 -0.060 -0.0041 -3.6523 60.8722 -0.0547 -0.0048 -0.0499 -0.0029 -2.5978 52.0424 -0.0493 0.0073 -0.0567E-B 0.40 1200.00 -0.040 -0.0005 -0.5661 14.1533 -0.0347 0.0199 -0.0546 -0.0008 -1.0074 18.4492 -0.0540 0.0081 -0.0622

-1.0796 109.6973 -0.1160 106.9471F-E 0.40 900.00 0.080 0.0017 1.5326 19.1580

0.0193

0.0993 0.0199 0.0794 0.0017 1.5123 19.0408

###

0.0785 0.0081 0.0703E-H 0.30 1200.00 0.040 0.0019 2.2983 57.4585 0.0593 -0.0048 0.0641 0.0046 5.5054 85.8751 0.0631 0.0073 0.0558H-G 0.40 900.00 -0.080 -0.0017 -1.5326 19.1580 -0.0607 -0.0607 -0.0010 -0.9179 15.1331 -0.0616 -0.0616G-F 0.40 1200.00 -0.160 -0.0061 -7.3764 46.1023 -0.1407 -0.1407 -0.0048 -5.8102 41.3089 -0.1416 -0.1416

-5.0780 141.8768 0.2897 161.3579E-D 0.30 900.00 0.060 0.0041 3.6523 60.8722

-0.0048

0.0552 0.0053 0.0499 0.0029 2.5978 52.0424

0.0073

0.0572 0.0006 0.0567D-I 0.30 1200.00 0.040 0.0019 2.2983 57.4585 0.0352 0.0352 0.0015 1.8174 51.5767 0.0426 0.0426I-H 0.30 900.00 -0.040 -0.0019 -1.7238 43.0939 -0.0448 -0.0448 -0.0024 -2.1230 47.4279 -0.0374 -0.0374H-E 0.30 1200.00 -0.040 -0.0019 -2.2983 57.4585 -0.0448 0.0193 -0.0641 -0.0046 -5.5054 85.8751 -0.0568 -0.0010 -0.0558

1.9286 218.8832 -3.2132 236.9222

Page 35: CROSS-TUB-11 IT

METODO DE CROSS EN TUBERIAS

C= 100No ITER=

TRAMO D (m) LONG (m) Qs(m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ QA-B 0.500 900.000 0.160B-E 0.500 1200.000 0.040E-F 0.400 900.000 -0.080F-A 0.600 1200.000 -0.240

B-C 0.500 900.000 0.120C-D 0.400 1200.000 0.080D-E 0.300 900.000 -0.060E-B 0.400 1200.000 -0.040

F-E 0.400 900.000 0.080E-H 0.300 1200.000 0.040H-G 0.400 900.000 -0.080G-F 0.400 1200.000 -0.160

E-D 0.300 900.000 0.060D-I 0.300 1200.000 0.040I-H 0.300 900.000 -0.040H-E 0.300 1200.000 -0.040

Page 36: CROSS-TUB-11 IT
Page 37: CROSS-TUB-11 IT

Qn (m3/s)

Page 38: CROSS-TUB-11 IT
Page 39: CROSS-TUB-11 IT

369m-30cm-55lps 369m-15cm-5lps

369m-30cm-70lps

369m-30cm-55lps 369m-15cm-35lps

369m-20cm-20lps

300m

-30

cm-7

0lp

s

300m

-25

cm-2

0lp

s

300m

-15

cm-1

0lp

s30

0m-1

5 cm

-20

lps

300m

-25

cm-1

0lp

s

3000

m-3

0 c

m-7

0lps

A B C

DE

IHG

F240 lps

15 lps

30lps

15 lps30lps15 lps

60 lps

30lps

15 lps 30lps

Page 40: CROSS-TUB-11 IT

369m-30cm-55lps 369m-15cm-5lps

369m-30cm-70lps

369m-30cm-55lps 369m-15cm-35lps

369m-20cm-20lps

300m

-30

cm-7

0lp

s

300m

-25

cm-2

0lp

s

300m

-15

cm-1

0lp

s30

0m-1

5 cm

-20

lps

300m

-25

cm-1

0lp

s

3000

m-3

0 c

m-7

0lps

A B C

DE

IHG

F240 lps

15 lps

30lps

15 lps30lps15 lps

60 lps

30lps

15 lps 30lps

Page 41: CROSS-TUB-11 IT

METODO DE CROSS EN TUBERIASING. J. CARLOS MTZ. LUGO

C= 130TRAMO D (m) LONG (m) Qs(m3/s) Qn (m3/s) v(m/s)

3--1 0.1000 343.1250 0.0100 0.0099 1.261--2 0.1000 940.0000 0.0054 0.0053 0.672--4 0.1000 343.1250 0.0007 0.0006 0.074--3 0.1000 940.0000 -0.0079 -0.0080 -1.02

3--4 0.1000 940.0000 0.0079 0.0080 1.024--6 0.1000 343.1250 -0.0007 -0.0006 -0.086--5 0.1000 940.0000 -0.0054 -0.0053 -0.675--3 0.1000 343.1250 -0.0100 -0.0099 -1.26

PERDIDAS DE CARGA312 11.9400342 11.9432

Page 42: CROSS-TUB-11 IT

METODO DE CROSS EN REDES DE TUBERIASING. J. CARLOS MTZ. LUGO

C= 130No ITER=

TRAMO D (m) LONG (m) Qs(m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m) HL/Qab 0.3000 250.0000 0.0450 0.0015 0.3663 8.1411

-0.0139

0.0311 0.0311 0.0007 0.1849 5.9436be 0.2000 100.0000 0.0450 0.0106 1.0558 23.4623 0.0311 0.0311 0.0053 0.5328 17.1294ed 0.2000 125.0000 0.0300 0.0050 0.6229 20.7624 0.0161 0.0012 0.0149 0.0014 0.1713 11.4660dc 0.2000 125.0000 -0.0110 -0.0008 -0.0972 8.8329 -0.0249 -0.0041 -0.0208 -0.0025 -0.3166 15.2085ca 0.2000 100.0000 -0.0150 -0.0014 -0.1380 9.2031 -0.0289 -0.0289 -0.0046 -0.4649 16.0876

SUMATORIA 1.8098 70.4017 0.1075 65.8352cd 0.2000 125.0000 0.0110 0.0008 0.0972 8.8329

-0.0041

0.0069 -0.0139 0.0208 0.0025 0.3166 15.2085dg 0.1500 100.0000 0.0110 0.0032 0.3156 28.6873 0.0069 0.0012 0.0058 0.0010 0.0952 16.5307gf 0.2500 125.0000 0.0110 0.0003 0.0328 2.9793 0.0069 0.0069 0.0001 0.0139 2.0078fc 0.1500 100.0000 -0.0040 -0.0005 -0.0485 12.1183 -0.0081 -0.0081 -0.0018 -0.1782 22.0542

SUMATORIA 0.3970 52.6177 0.2475 55.8013de 0.4000 125.0000 -0.0300 -0.0002 -0.0213 0.7098

0.0012

-0.0288 -0.0139 -0.0149 0.0000 -0.0059 0.3920eh 0.3000 100.0000 0.0150 0.0002 0.0192 1.2773 0.0162 0.0162 0.0002 0.0220 1.3612hg 0.4000 125.0000 0.0000 0.0000 0.0000 0.0000 0.0012 0.0012 0.0000 0.0001 0.0445gd 0.4000 100.0000 -0.0110 0.0000 -0.0027 0.2416 -0.0098 -0.0041 -0.0058 0.0000 -0.0008 0.1392

SUMATORIA -0.0048 2.2287 0.0154 1.9369

Page 43: CROSS-TUB-11 IT

ΔQ Q Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ

-0.0009

0.0302 0.0302 0.0007 0.1753 5.7996

-0.0013

0.0289 0.0289 0.0006 0.1613 5.5819

-0.0004

0.0302 0.0302 0.0051 0.5051 16.7143 0.0289 0.0289 0.0046 0.4648 16.08680.0141 -0.0043 0.0184 0.0020 0.2508 13.6621 0.0170 -0.0007 0.0177 0.0019 0.2339 13.2315-0.0217 -0.0024 -0.0193 -0.0022 -0.2753 14.2605 -0.0206 -0.0013 -0.0193 -0.0022 -0.2760 14.2773-0.0298 -0.0298 -0.0049 -0.4915 16.5054 -0.0311 -0.0311 -0.0053 -0.5329 17.1302

0.1644 66.9419 0.0512 66.3077

-0.0024

0.0184 -0.0009 0.0193 0.0022 0.2753 14.2605

-0.0013

0.0180 -0.0013 0.0193 0.0022 0.2760 14.2773

-0.0005

0.0034 -0.0043 0.0077 0.0016 0.1613 21.0700 0.0064 -0.0007 0.0070 0.0014 0.1369 19.53520.0045 0.0045 0.0001 0.0063 1.3976 0.0032 0.0032 0.0000 0.0034 1.0470-0.0105 -0.0105 -0.0029 -0.2883 27.5198 -0.0118 -0.0118 -0.0036 -0.3581 30.4049

0.1546 64.2479 0.0581 65.2645

-0.0043

-0.0192 -0.0009 -0.0184 -0.0001 -0.0086 0.4671

-0.0007

-0.0190 -0.0013 -0.0177 -0.0001 -0.0080 0.4524

-0.0005

0.0119 0.0119 0.0001 0.0124 1.0462 0.0112 0.0112 0.0001 0.0112 0.9972-0.0031 -0.0031 0.0000 -0.0003 0.1036 -0.0038 -0.0038 0.0000 -0.0005 0.1217-0.0101 -0.0024 -0.0077 0.0000 -0.0014 0.1774 -0.0083 -0.0013 -0.0070 0.0000 -0.0012 0.1645

0.0022 1.7943 0.0016 1.7357

Page 44: CROSS-TUB-11 IT

Q Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ Q0.0285 0.0285 0.0006 0.1570 5.5131

-0.0002

0.0283 0.0283 0.0006 0.1549 5.4799

-0.0001

0.02820.0285 0.0285 0.0045 0.4525 15.8887 0.0283 0.0283 0.0045 0.4465 15.7928 0.02820.0173 -0.0005 0.0178 0.0019 0.2357 13.2782 0.0175 -0.0002 0.0177 0.0019 0.2347 13.2512 0.0176-0.0197 -0.0005 -0.0193 -0.0022 -0.2743 14.2369 -0.0195 -0.0002 -0.0192 -0.0022 -0.2735 14.2183 -0.0193-0.0315 -0.0315 -0.0055 -0.5462 17.3257 -0.0317 -0.0317 -0.0055 -0.5527 17.4201 -0.0318

0.0247 66.2427 0.0100 66.16230.0188 -0.0004 0.0193 0.0022 0.2743 14.2369

-0.0002

0.0190 -0.0002 0.0192 0.0022 0.2735 14.2183

-0.0001

0.01910.0065 -0.0005 0.0070 0.0014 0.1372 19.5567 0.0068 -0.0002 0.0069 0.0013 0.1346 19.3860 0.00690.0027 0.0027 0.0000 0.0025 0.9122 0.0025 0.0025 0.0000 0.0021 0.8462 0.0024-0.0123 -0.0123 -0.0039 -0.3857 31.4606 -0.0125 -0.0125 -0.0040 -0.3992 31.9655 -0.0126

0.0283 66.1664 0.0110 66.4160-0.0182 -0.0004 -0.0178 -0.0001 -0.0081 0.4540

-0.0002

-0.0179 -0.0002 -0.0177 -0.0001 -0.0080 0.4530

-0.0001

-0.01780.0107 0.0107 0.0001 0.0103 0.9599 0.0106 0.0106 0.0001 0.0100 0.9477 0.0105-0.0043 -0.0043 0.0000 -0.0006 0.1350 -0.0044 -0.0044 0.0000 -0.0006 0.1393 -0.0045-0.0075 -0.0005 -0.0070 0.0000 -0.0012 0.1647 -0.0072 -0.0002 -0.0069 0.0000 -0.0011 0.1633 -0.0070

0.0005 1.7135 0.0002 1.7033

Page 45: CROSS-TUB-11 IT

Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ Q0.0282 0.0006 0.1541 5.4664

0.0000

0.0282 0.0282 0.0006 0.1538 5.4607

0.0000

0.02810.0282 0.0044 0.4442 15.7539 0.0282 0.0282 0.0044 0.4431 15.7375 0.0281

-0.0001 0.0177 0.0019 0.2345 13.2478 0.0177 0.0000 0.0177 0.0019 0.2344 13.2452 0.0177 0.0000-0.0001 -0.0192 -0.0022 -0.2733 14.2135 -0.0193 0.0000 -0.0192 -0.0022 -0.2732 14.2103 -0.0192 0.0000

-0.0318 -0.0056 -0.5553 17.4583 -0.0318 -0.0318 -0.0056 -0.5564 17.4744 -0.03190.0042 66.1399 0.0018 66.1281

-0.0001 0.0192 0.0022 0.2733 14.2135

0.0000

0.0192 0.0000 0.0192 0.0022 0.2732 14.2103

0.0000

0.0192 0.0000-0.0001 0.0069 0.0013 0.1341 19.3550 0.0069 0.0000 0.0069 0.0013 0.1338 19.3333 0.0069 0.0000

0.0024 0.0000 0.0020 0.8205 0.0024 0.0024 0.0000 0.0019 0.8091 0.0024-0.0126 -0.0040 -0.4046 32.1602 -0.0126 -0.0126 -0.0041 -0.4069 32.2463 -0.0126

0.0049 66.5492 0.0020 66.5990-0.0001 -0.0177 -0.0001 -0.0080 0.4529

0.0000

-0.0177 0.0000 -0.0177 -0.0001 -0.0080 0.4528

0.0000

-0.0177 0.00000.0105 0.0001 0.0099 0.9419 0.0105 0.0105 0.0001 0.0098 0.9396 0.0104-0.0045 0.0000 -0.0006 0.1413 -0.0045 -0.0045 0.0000 -0.0006 0.1421 -0.0046

-0.0001 -0.0069 0.0000 -0.0011 0.1630 -0.0070 0.0000 -0.0069 0.0000 -0.0011 0.1628 -0.0069 0.00000.0001 1.6991 0.0000 1.6973

Page 46: CROSS-TUB-11 IT

Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)0.0281 0.0006 0.1536 5.4583

0.0000

0.0281 0.0281 0.0006 0.1536 5.4573

0.0000

0.0281 0.02810.0281 0.0044 0.4427 15.7306 0.0281 0.0281 0.0044 0.4425 15.7277 0.0281 0.02810.0177 0.0019 0.2344 13.2442 0.0177 0.0000 0.0177 0.0019 0.2344 13.2438 0.0177 0.0000 0.0177-0.0192 -0.0022 -0.2731 14.2093 -0.0192 0.0000 -0.0192 -0.0022 -0.2731 14.2088 -0.0192 0.0000 -0.0192-0.0319 -0.0056 -0.5569 17.4812 -0.0319 -0.0319 -0.0056 -0.5571 17.4841 -0.0319 -0.0319

0.0007 66.1236 0.0003 66.12160.0192 0.0022 0.2731 14.2093

0.0000

0.0192 0.0000 0.0192 0.0022 0.2731 14.2088

0.0000

0.0192 0.0000 0.01920.0069 0.0013 0.1337 19.3258 0.0069 0.0000 0.0069 0.0013 0.1337 19.3224 0.0069 0.0000 0.00690.0024 0.0000 0.0019 0.8044 0.0024 0.0024 0.0000 0.0019 0.8024 0.0024 0.0024-0.0126 -0.0041 -0.4079 32.2815 -0.0126 -0.0126 -0.0041 -0.4083 32.2964 -0.0126 -0.0126

0.0008 66.6209 0.0004 66.6300-0.0177 -0.0001 -0.0080 0.4528

0.0000

-0.0177 0.0000 -0.0177 -0.0001 -0.0080 0.4528

0.0000

-0.0177 0.0000 -0.01770.0104 0.0001 0.0098 0.9386 0.0104 0.0104 0.0001 0.0098 0.9382 0.0104 0.0104-0.0046 0.0000 -0.0006 0.1424 -0.0046 -0.0046 0.0000 -0.0007 0.1426 -0.0046 -0.0046-0.0069 0.0000 -0.0011 0.1627 -0.0069 0.0000 -0.0069 0.0000 -0.0011 0.1627 -0.0069 0.0000 -0.0069

0.0000 1.6966 0.0000 1.6962

Page 47: CROSS-TUB-11 IT

S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m)0.0006 0.1535 5.4568

0.0000

0.0281 0.0281 0.0006 0.1535 5.4567

0.0000

0.0281 0.0281 0.00060.0044 0.4425 15.7264 0.0281 0.0281 0.0044 0.4424 15.7259 0.0281 0.0281 0.00440.0019 0.2344 13.2436 0.0177 0.0000 0.0177 0.0019 0.2344 13.2436 0.0177 0.0000 0.0177 0.0019-0.0022 -0.2731 14.2086 -0.0192 0.0000 -0.0192 -0.0022 -0.2731 14.2085 -0.0192 0.0000 -0.0192 -0.0022-0.0056 -0.5572 17.4853 -0.0319 -0.0319 -0.0056 -0.5572 17.4858 -0.0319 -0.0319 -0.0056

0.0001 66.1208 0.0001 66.12050.0022 0.2731 14.2086

0.0000

0.0192 0.0000 0.0192 0.0022 0.2731 14.2085

0.0000

0.0192 0.0000 0.0192 0.00220.0013 0.1336 19.3210 0.0069 0.0000 0.0069 0.0013 0.1336 19.3204 0.0069 0.0000 0.0069 0.00130.0000 0.0019 0.8016 0.0024 0.0024 0.0000 0.0019 0.8012 0.0024 0.0024 0.0000-0.0041 -0.4085 32.3027 -0.0126 -0.0126 -0.0041 -0.4085 32.3053 -0.0126 -0.0126 -0.0041

0.0001 66.6338 0.0001 66.6354-0.0001 -0.0080 0.4528

0.0000

-0.0177 0.0000 -0.0177 -0.0001 -0.0080 0.4528

0.0000

-0.0177 0.0000 -0.0177 -0.00010.0001 0.0098 0.9380 0.0104 0.0104 0.0001 0.0098 0.9379 0.0104 0.0104 0.00010.0000 -0.0007 0.1427 -0.0046 -0.0046 0.0000 -0.0007 0.1427 -0.0046 -0.0046 0.00000.0000 -0.0011 0.1627 -0.0069 0.0000 -0.0069 0.0000 -0.0011 0.1627 -0.0069 0.0000 -0.0069 0.0000

0.0000 1.6961 0.0000 1.6961

Page 48: CROSS-TUB-11 IT

HL (m) HL/Q ΔQ Q Qn (m3/s)S(m/1000m) HL (m) HL/Q ΔQ Q Qn (m3/s) S(m/1000m) HL (m)0.1535 5.4566

0.0000

0.0281 0.0281 0.0006 0.1535 5.4566

0.0000

0.0281 0.0281 0.0006 0.15350.4424 15.7257 0.0281 0.0281 0.0044 0.4424 15.7256 0.0281 0.0281 0.0044 0.44240.2344 13.2435 0.0177 0.0000 0.0177 0.0019 0.2344 13.2435 0.0177 0.0000 0.0177 0.0019 0.2344-0.2731 14.2085 -0.0192 0.0000 -0.0192 -0.0022 -0.2731 14.2085 -0.0192 0.0000 -0.0192 -0.0022 -0.2731-0.5572 17.4860 -0.0319 -0.0319 -0.0056 -0.5572 17.4861 -0.0319 -0.0319 -0.0056 -0.55720.0000 66.1203 0.0000 66.1202 0.00000.2731 14.2085

0.0000

0.0192 0.0000 0.0192 0.0022 0.2731 14.2085

0.0000

0.0192 0.0000 0.0192 0.0022 0.27310.1336 19.3201 0.0069 0.0000 0.0069 0.0013 0.1336 19.3200 0.0069 0.0000 0.0069 0.0013 0.13360.0019 0.8011 0.0024 0.0024 0.0000 0.0019 0.8010 0.0024 0.0024 0.0000 0.0019-0.4086 32.3064 -0.0126 -0.0126 -0.0041 -0.4086 32.3068 -0.0126 -0.0126 -0.0041 -0.40860.0000 66.6361 0.0000 66.6363 0.0000-0.0080 0.4528

0.0000

-0.0177 0.0000 -0.0177 -0.0001 -0.0080 0.4528

0.0000

-0.0177 0.0000 -0.0177 -0.0001 -0.00800.0098 0.9379 0.0104 0.0104 0.0001 0.0098 0.9379 0.0104 0.0104 0.0001 0.0098-0.0007 0.1427 -0.0046 -0.0046 0.0000 -0.0007 0.1427 -0.0046 -0.0046 0.0000 -0.0007-0.0011 0.1627 -0.0069 0.0000 -0.0069 0.0000 -0.0011 0.1627 -0.0069 0.0000 -0.0069 0.0000 -0.00110.0000 1.6960 0.0000 1.6960 0.0000

Page 49: CROSS-TUB-11 IT

6/4/2003

HL/Q ΔQ Q Qn (m3/s)5.4565

0.0000

0.0281 0.028115.7256 0.0281 0.028113.2435 0.0177 0.0000 0.017714.2085 -0.0192 0.0000 -0.019217.4861 -0.0319 -0.031966.120214.2085

0.0000

0.0192 0.0000 0.019219.3200 0.0069 0.0000 0.00690.8010 0.0024 0.0024

32.3070 -0.0126 -0.012666.63650.4528

0.0000

-0.0177 0.0000 -0.01770.9379 0.0104 0.01040.1427 -0.0046 -0.00460.1627 -0.0069 0.0000 -0.00691.6960

250m-30cm-160lps

125m20cm-80lps

125m-25cm-80lps 125m-25cm-40lps

125m-20cm-60lps

100m

-20

cm-2

40l

ps

100m

-20

cm-8

0lp

s10

0m-1

5 cm

-40

lps

100m

-15

cm-4

0lp

s

100m

150

cm

-160

lps

a b

e

d

hgf

c

60 lps

15 lps15 lps

30 lps