• Author / Uploaded
• Edward Sequeiros Castillo

Citation preview

CROSS 1

AB AC BC

NOVOA

L(km) 0.5 0.6 0 0.5

CROSS 2

AB AC BC

Chw 100 100 100 100

D(pulg) 8 6 1 6

k 0.0068979765 0.0336047625 0 0.0280039687

Q(lts/s) 35 15 0.5 13

D(m) 0.2032 0.1524 1 0.1524

k 2477.5719869663 12070.052268605 0 10058.376890504

Q(m3/s) 0.035 0.015 1 0.013

1 -1 1 1

hf 4.99270295 -5.06432819 0 3.23774523 3.16611999 DQ=

HIDALGO L(m) 500 600 0 500

Chw 100 100 100 100

1 -1 1 1

hf 4.98471463 -5.0562689 0 3.23259274 3.16103846 DQ=

7.6 Calcule los caudales en las tuberías y las alturas en los nodos para la red de distribu potable que aparece en la Fig.P7.6. Utilice el método de Hardy-Cross con corrección de c las tuberías son de PVC (k=0.0015 mm). Las longitudes, los diámetros y los coeficientes pérdidas menores para cada una de las tuberías son los que se indican en dicha figura. T se encuentran al mismo nivel.

3) Metodo de Cross PRIMERA VUELTA

Circuito 1 1-2 8-1 7-8 2-7

L(m) 500 60 100 60

D(m) 0.2 0.25 0.25 0.254

Q(m3/s) 0.0722 0.4078 0.3378 0.158

D(m) 0.2 0.25 0.25 0.254

Q(m3/s) 0.1341284198 0.3458715802 0.2758715802 0.0695018657

1 -1 -1 -1

ht 10.2011361 -17.5070551 -19.8287123 -2.64940616 -29.7840375 DQ=

SEGUNDA VUELTA

Circuito 1 1-2 8-1 7-8 2-7

L(m) 500 60 100 60

TERCERA VUELTA

1 -1 -1 -1

ht 32.0309311 -12.752734 -13.4459805 -0.55625438 5.27596233 DQ=

Circuito 1 1-2 8-1 7-8 2-7

L(m) 500 60 100 60

D(m) 0.2 0.25 0.25 0.254

Q(m3/s) 0.1255586322 0.3544413678 0.2844413678 0.0862358009

1 -1 -1 -1

D(m) 0.2 0.25 0.25 0.254

Q(m3/s) 0.1257605732 0.3542394268 0.2842394268 0.0821704597

1 -1 -1 -1

ht 28.3412593 -13.3671379 -14.2578869 -0.83713505 -0.12090051 DQ=

CUARTA VUELTA

Circuito 1 1-2 8-1 7-8 2-7

L(m) 500 60 100 60

QUINTA VUELTA

ht 28.4257753 -13.3524987 -14.2384904 -0.76387793 0.07090828 DQ=

Circuito 1 1-2 8-1 7-8 2-7

L(m) 500 60 100 60

D(m) 0.2 0.25 0.25 0.254

Q(m3/s) 0.1256420781 0.3543579219 0.2843579219 0.0828272226

L(m) 500 60 100 60

D(m) 0.2 0.25 0.25 0.254

Q(m3/s) 0.1256592696 0.3543407304 0.2843407304 0.0825190653

1 -1 -1 -1

ht 28.3761687 -13.3610877 -14.2498703 -0.77549543 -0.01028482 DQ=

SEXTA VUELTA

Circuito 1 1-2 8-1 7-8 2-7

1 -1 -1 -1

ht 28.3833632 -13.3598415 -14.248219 -0.77003398 0.00526871 DQ=

RESULTADOS

CAUDA

ALTURA

hf/Q 0.142648656 0.337621879 0 0.249057326 0.72932786 -2.34403226

DQ -2.344032257 -2.344032257 -2.344032257 -6.707182043

Q+DQ 32.65596774 -17.34403226 -1.844032257 6.292817957

% CAMBIO -6.69723502 15.62688171 -468.806451 -51.593708

L(km) BC 0.5 CD 0.6 BD 0.7 0

Chw 100 100 100 100

hf/Q 142.4204179 337.0845935 0 248.66098 728.1659914 -0.002344

DQ -0.002344004 -0.002344004 -0.002344004 -0.006707165

Q+DQ 0.032655996 -0.017344004 0.997655996 0.006292835

% CAMBIO -6.69715518 15.62669542 -0.23440043 -51.5935767

L(m) 500 600 700 0

Chw 100 100 100 100

s nodos para la red de distribución de agua ardy-Cross con corrección de caudales. Todas s diámetros y los coeficientes globales de ue se indican en dicha figura. Todos los nodos

BC CD BD

SOLUCION Datos: Q=? Altura de nodos =? CORRECCION DE CAUDALES k=0,0015 mm Resolviendo:

1) Detereminando el caudal ent

Q2+Q3+Q4+Q5+Q6+Q7+Q8=Q1 Resolviendo: Q1= 480 l/s

2) Determinando caudales por e (los caudales de color verde son 84,53 l/S 50 l/S 4

70 l/S

+ 14,53 l/S

C3

5 100 l/S

tuberia 1--2 2--3 3--4 4--5 1--8

85,47 l/S

km 3.6 4.6 4.3 5.4 2.4

8--7 7--6 6--5 2--7 3--6

ht/Q DQ Q+DQ 141.2899737 0.06192842 0.13412842 42.93049318 0.06192842 -0.34587158 58.69956289 0.06192842 -0.27587158 16.76839343 0.088498134 -0.069501866 259.6884232 0.06192842

% CAMBIO 85.77343468 -15.1859784 -18.3328656 -56.0114774

7-2 3-6 6-7 2-3

Circuito 2 L(m) D(m) 60 0.254 200 0.2 80 0.25 150 0.3

tuberia 1--2 2--3 3--4 4--5 1--8 8--7 7--6 6--5 2--7 3--6

ht/Q 238.8079363 36.87129765 48.73999868 8.003445231 332.4226779 -0.00856979

DQ -0.008569788 -0.008569788 -0.008569788 -0.016733935

Q+DQ 0.125558632 -0.354441368 -0.284441368 -0.086235801

% CAMBIO -6.38924074 2.477736863 3.106440916 24.07695824

7-2 3-6 6-7 2-3

3.8 3.2 4.3 2.4 5.4

km 3.6 4.6 4.3 5.4 2.4 3.8 3.2 4.3 2.4 5.4

Circuito 2 L(m) D(m) 60 0.254 200 0.2 80 0.25 150 0.3

tuberia 1--2 2--3

km 3.6 4.6

ht/Q 225.7213129 37.71325548 50.12592584 9.707511711 323.2680059 0.000201941

ht/Q 226.0308981 37.69342905 50.09329826 9.296259601 323.113885 -0.0001185

DQ Q+DQ % CAMBIO 0.000201941 0.125760573 0.160833989 0.000201941 -0.354239427 -0.05697443 0.000201941 -0.284239427 -0.07099564 0.004065341 -0.08217046 -4.7142151

DQ -0.000118495 -0.000118495 -0.000118495 -0.000656763

Q+DQ 0.125642078 -0.354357922 -0.284357922 -0.082827223

% CAMBIO -0.09422276 0.033450563 0.041688475 0.799268793

7-2 3-6 6-7 2-3

7-2 3-6 6-7 2-3

3--4 4--5 1--8 8--7 7--6 6--5 2--7 3--6

4.3 5.4 2.4 3.8 3.2 4.3 2.4 5.4

L(m) 60 200 80 150

Circuito 2 D(m) 0.254 0.2 0.25 0.3

tuberia 1--2 2--3 3--4 4--5 1--8 8--7 7--6 6--5 2--7 3--6

km 3.6 4.6 4.3 5.4 2.4 3.8 3.2 4.3 2.4 5.4

Circuito 2 L(m) D(m) 60 0.254 200 0.2 80 0.25 150 0.3

tuberia 1--2 2--3 3--4 4--5 1--8 8--7 7--6 6--5 2--7 3--6

ht/Q DQ Q+DQ 225.8492467 1.71915E-05 0.12565927 37.7050629 1.71915E-05 -0.35434073 50.11244368 1.71915E-05 -0.28434073 9.362808586 0.000308157 -0.082519065 323.0295619 1.71915E-05

% CAMBIO 0.013682912 -0.00485145 -0.00604572 -0.37204835

7-2 3-6 6-7 2-3

Circuito 2 L(m) D(m) 60 0.254 200 0.2 80 0.25 150 0.3

tuberia 1--2 2--3 3--4 4--5 1--8 8--7 7--6 6--5 2--7 3--6

ht/Q 225.8756023 37.70337505 50.10966605 9.331588782 323.0202322 -8.8071E-06

DQ -8.80712E-06 -8.80712E-06 -8.80712E-06 -5.23273E-05

Q+DQ 0.125650462 -0.354349538 -0.284349538 -0.082571393

% CAMBIO -0.00700873 0.002485495 0.003097382 0.063412406

7-2 3-6 6-7 2-3

km 3.6 4.6 4.3 5.4 2.4 3.8 3.2 4.3 2.4 5.4

km 3.6 4.6 4.3 5.4 2.4 3.8 3.2 4.3 2.4 5.4

Circuito 2 L(m) D(m) 60 0.254 200 0.2 80 0.25 150 0.3

PERDIDAS POR ACCESORIOS Y FRICCION tuberia 1--2 2--3 3--4 4--5 1--8 8--7 7--6 6--5 2--7 3--6

CAUDALES FINALES

km 3.6 4.6 4.3 5.4 2.4 3.8 3.2 4.3 2.4 5.4

ALTURAS EN LOS NODOS

Q3=50 l/S 4

Q4=70 l/S

+ C3

5 Q5=100 l/S

Q6=80 l/S

D(pulg) k 6 0.028003969 8 0.008277572 8 0.009657167 1 0

D(m) k 0.1524 10058.37689 0.2032 2973.086384 0.2032 3468.600782 1 0

a de nodos =? RECCION DE CAUDALES

tereminando el caudal entrante

Q3+Q4+Q5+Q6+Q7+Q8=Q1

Q(lts/s) 13 28 22 0.5

Q(m3/s) 0.013 0.028 0.022 0.5

-1 -1 1 1

-1 -1 1 1

hf -3.237745232 -3.963141964 2.9581251917 0 -4.242762004 DQ=

hf/Q 0.24905733 0.14154078 0.13446024 0 0.52505835 4.36314979

DQ 6.70718204 4.36314979 4.36314979 4.36314979

Q+DQ -6.29281796 -23.6368502 26.3631498 4.86314979

hf hf/Q DQ Q+DQ -3.23259274 248.66098 0.00670716 -0.00629284 -3.956800939 141.314319 0.00436316 -0.02363684 2.9533921929 134.2451 0.00436316 0.02636316 0 0 0.00436316 0.50436316 -4.236001486 524.220399 DQ= 0.00436316

terminando caudales por el metodo del profesor audales de color verde son los caudales calculados por el metodo y los caudales de color negro se calcularon por continuidad)

84,53 l/S 50 l/S 3

Nudo

+

1

170,2 l/S

7 60 l/S

35,67 l/S

72,2 l/S

2 … C2

1

+ 158 l/S

C1

+

3

480 l/S

Libro : Juan S

407,8 l/S

Material PVC

…..8 85,47 l/S

6 129,8 l/S 80 l/S

7 50 l/S

337.8 l/S

70 l/S

ʋ= long 500 150 120 200 60

diametro 0.2 0.3 0.25 0.2 0.25

ks 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015

Q 0.0722 0.1702 0.08453 0.01453 0.4078

Re 402838.21281 633084.61514 377306.52774 81069.795459 1820248.4563

f 0.013718 0.012649 0.013857 0.018713 0.010737

r 1771.01441 64.5155186 140.695372 966.387179 54.5074606

hf 9.23201478 1.86888812 1.00531358 0.20402453 9.06463648

100 80 120 60 200

0.25 0.25 0.254 0.254 0.2

0.0000015 0.0000015 0.0000015 0.0000015 0.0000015

0.3378 0.1298 0.08547 0.158 0.03567

1507797.765 579372.85344 375494.38402 694139.61245 199019.93145

0.011038 0.012859 0.013868 0.012472 0.015616

93.3907617 87.0389596 130.060435 58.4862359 806.428279

10.6567115 1.46643587 0.95010721 1.46005039 1.02605813

Circuito 2 Q(m3/s) 0.158 1 0.03567 1 0.1298 -1 0.1702 1

ht 2.64940616 1.38087253 -2.60684468 3.22818137 4.65161538 DQ=

ht/Q DQ Q+DQ % CAMBIO 16.7683934 -0.088498134 0.06950187 -56.0114774 38.7124342 -0.03247297 0.00319703 -91.0372013 20.0835492 -0.026569714 -0.15636971 20.4697338 18.9669881 -0.026569714 0.14363029 -15.6108781 94.5313649 -0.02656971

ʋ= long 500 150 120 200 60 100 80 120 60 200

diametro 0.2 0.3 0.25 0.2 0.25 0.25 0.25 0.254 0.254 0.2

ks 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015

Q 0.13412842 0.14363029 0.09043326 0.02043326 0.34587158 0.27587158 0.15636971 0.07956674 0.06950187 0.00319703

Re 748366.38415 534254.5479 403656.18749 114006.87014 1543825.9193 1231375.2279 697968.93413 349559.67955 305341.76031 17837.7559

f 0.012351 0.013021 0.013692 0.017433 0.010999 0.011381 0.012463 0.014047 0.014397 0.026590

r 1594.53205 66.414411 139.014199 900.270329 55.8380697 96.2969971 84.3584663 131.743713 67.5115576 1373.15998

ht 0.55625438 0.01688536 -3.71776036 2.33813058 -0.80649005 DQ=

ht/Q 8.00344523 5.281576 23.7754502 16.2788131 53.3392846 0.00816415

DQ Q+DQ % CAMBIO 0.0167339352 0.0862358 24.0769582 0.0160233938 0.01922042 501.19618 0.0081641475 -0.14820557 -5.2210542 0.0081641475 0.15179443 5.68414072

hf 28.686322 1.37010665 1.13688226 0.375879 6.67974914 7.32869536 2.06268999 0.83405191 0.32611521 0.01403507

Circuito 2 Q(m3/s) 0.0695 1 0.0032 1 0.15637 -1 0.14363 1

ʋ= long 500 150

diametro 0.2 0.3

ks Q Re 0.0000015 0.12555863 700551.45426 0.0000015 0.15179443 564622.32819

f 0.012485 0.012898

r hf 1611.82589 25.410387 65.7856883 1.51580422

120 200 60 100 80 120 60 200

0.25 0.2 0.25 0.25 0.25 0.254 0.254 0.2

0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015

0.08257401 0.01257401 0.35444137 0.28444137 0.14820557 0.08742599 0.0862358 0.01922042

368575.80295 70156.389471 1582077.8632 1269627.1718 661527.59778 384087.61709 378858.76844 107239.90701

0.013915 0.019300 0.010959 0.011328 0.012575 0.013812 0.013846 0.017653

141.286249 996.709272 55.6360168 95.8464575 85.1153765 129.535577 64.926556 911.610772

0.96335562 0.15758542 6.98947953 7.75463896 1.86954989 0.99007978 0.48283369 0.33677154

Circuito 2 Q(m3/s) 0.08624 1 0.01922 1 0.14821 -1 0.15179 1

ht 0.83713505 0.43979139 -3.35630764 2.59700347 0.51762227 DQ=

ht/Q DQ Q+DQ % CAMBIO 9.70751171 -0.004065341 0.08217046 -4.7142151 22.8814616 -0.005949868 0.01327056 -30.9559652 22.6462994 -0.0038634 -0.15206897 2.6067848 17.1086872 -0.0038634 0.14793103 -2.54515275 72.3439598 -0.0038634

ʋ= long 500 150 120 200 60 100 80 120 60 200

diametro 0.2 0.3 0.25 0.2 0.25 0.25 0.25 0.254 0.254 0.2

ks 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015

Q 0.12576057 0.14793103 0.08466048 0.01466048 0.35423943 0.28423943 0.15206897 0.08533952 0.08217046 0.01327056

Re 701678.17911 550251.82745 377888.9207 81797.786661 1581176.4833 1268725.7919 678772.19866 374921.16261 360998.55116 74042.758716

f 0.012481 0.012955 0.013853 0.018678 0.010960 0.011329 0.012521 0.013872 0.013966 0.019078

r 1611.40086 66.0776363 140.656587 964.559046 55.6407042 95.85687 84.7506484 130.095999 65.491003 985.23334

ht 0.76387793 0.22261752 -3.52513747 2.47287922 -0.06576281 DQ=

ht/Q 9.2962596 16.7752967 23.1811759 16.7164331 65.9691653 0.00053827

DQ Q+DQ % CAMBIO 0.0006567628 0.08282722 0.79926879 0.0015409401 0.0148115 11.6117219 0.0005382678 -0.1515307 -0.35396292 0.0005382678 0.1484693 0.36386399

hf 25.4854677 1.44601593 1.0081415 0.20731227 6.98210557 7.7444732 1.95985627 0.9474676 0.44219423 0.17350714

Circuito 2 Q(m3/s) 0.08217 1 0.01327 1 0.15207 -1 0.14793 1

ʋ=

long 500 150 120 200 60 100 80 120 60 200

diametro 0.2 0.3 0.25 0.2 0.25 0.25 0.25 0.254 0.254 0.2

ks 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015

Q 0.12564208 0.1484693 0.0836578 0.0136578 0.35435792 0.28435792 0.1515307 0.0863422 0.08282722 0.0148115

Re 701017.03857 552253.99571 373413.41126 76203.399855 1581705.3957 1269254.7043 676369.59675 379326.19159 363883.89992 82640.397911

f 0.012483 0.012947 0.013883 0.018961 0.010960 0.011329 0.012528 0.013843 0.013946 0.018637

r 1611.65015 66.0363753 140.956641 979.193868 55.6379533 95.8507589 84.8007418 129.824496 65.3973971 962.469826

ht 0.77549543 0.2723247 -3.5013765 2.48999827 0.03644191 DQ=

ht/Q 9.36280859 18.3860358 23.1067138 16.7711322 67.6266904 -0.00029097

DQ -0.000308157 -0.000428835 -0.000290966 -0.000290966

Q+DQ 0.08251907 0.01438266 -0.15182167 0.14817833

% CAMBIO -0.37204835 -2.89528252 0.19201774 -0.19597709

hf 25.4413993 1.45564862 0.98650312 0.18265453 6.98643203 7.75043752 1.94715671 0.96783834 0.44864895 0.21114704

Circuito 2 Q(m3/s) 0.08283 1 0.01481 1 0.15153 -1 0.14847 1

ʋ= long 500 150 120 200 60 100 80 120 60 200

diametro 0.2 0.3 0.25 0.2 0.25 0.25 0.25 0.254 0.254 0.2

ks 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015

Q 0.12565927 0.14817833 0.08379567 0.01379567 0.35434073 0.28434073 0.15182167 0.08620433 0.08251907 0.01438266

Re 701112.95812 551171.70439 374028.80006 76972.635858 1581628.6601 1269177.9687 677668.34634 378720.49395 362530.07588 80247.724919

f 0.012483 0.012952 0.013879 0.018921 0.010960 0.011329 0.012524 0.013847 0.013956 0.018754

r 1611.61396 66.0586553 140.915108 977.098329 55.6383524 95.8516453 84.7736348 129.861586 65.4411976 968.477917

ht 0.77003398 0.25802668 -3.51421112 2.48073738 -0.00541308 DQ=

ht/Q 9.33158878 17.9401205 23.1469673 16.7415661 67.1602426 4.35202E-05

DQ 5.232732E-05 0.0001156659 4.352021E-05 4.352021E-05

Q+DQ 0.08257139 0.01449833 -0.15177814 0.14822186

% CAMBIO 0.06341241 0.80420402 -0.02866535 0.02937015

Circuito 2 Q(m3/s) 0.08252 1 0.01438 1 0.15182 -1 0.14818 1

hf 25.4477907 1.45043793 0.9894657 0.18596194 6.98580426 7.74957207 1.95401685 0.96502559 0.44561504 0.20034027

ʋ= long 500 150 120 200 60 100 80 120 60 200

diametro 0.2 0.3 0.25 0.2 0.25 0.25 0.25 0.254 0.254 0.2

ks 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015 0.0000015

Q 0.12565046 0.14822186 0.08372353 0.01372353 0.35434954 0.28434954 0.15177814 0.08627647 0.08257139 0.01449833

Re 701063.819 551333.58437 373706.77169 76570.100399 1581667.9714 1269217.28 677474.09037 379037.451 362759.96492 80893.080348

83.724 l/S

f 0.012483 0.012951 0.013881 0.018942 0.010960 0.011329 0.012525 0.013845 0.013954 0.018722

3

+ 13.724 l/S

hf 25.4445163 1.45121676 0.9879149 0.18422788 6.98612586 7.75001543 1.95299007 0.96649702 0.44612956 0.20323001

50 l/S

4

70 l/S

r 1611.6325 66.0553193 140.936831 978.191422 55.6381479 95.8511912 84.777685 129.842168 65.433745 966.834232

148.222 l/S

C3

60 l/S

14.498 l/S

,,,,,,,,2 C2

5 100 l/S

+ 82.571 l/S 7 ,,,,,,,

llllll6 86.276 l/S

151.778 l/S 80 l/S

50 l/S

284.350 l/S

80 l/S

50 l/S

284.350 l/S

17.513 m

18.879 m 17.276 m

Q3=50 l/S 3

+ Q2=60 l/S 2 … C2

+

1

C1

+ …..8

6 Q6=80 l/S

7 Q7=50 l/S

Q8=70 l/S

Q1

% CAMBIO -51.59370802 -15.58267781 19.83249903 872.6299571

% CAMBIO -51.59357671 -15.58271664 19.83254845 0.872632132

por continuidad)

Q existente 0.48 m3/s 0.2878 m3/s 0.1202 m3/s

Tuberia

Longitud (m)

Diametro (m)

Chw

1--2 1--8 7--2 7--6 3--4 3--6

500 60 60 80 120 200

0.2 0.25 0.254 0.25 0.25 0.2

150 150 150 150 150 150

Libro : Juan Saldarriaga Condicion Diametro (mm) constante Todos

ht = hf + hm

1.141 1.141E-06 r´ 185.9104287 46.92389421 90.95564441 278.8656431 50.76594106

Chw 150

hm 0.9691213192 1.3592932445 0.649907267 0.0588743655 8.4424186424

ht 10.201136098 3.2281813672 1.6552208476 0.2628988965 17.507055118

tuberia 1--2 2--3 3--4 4--5 1--8

r 1263.2240 51.1294 47.3256 68.1726 102.2589 505.2896

1/(r^(1/n)) 0.0212 0.1195 0.1246 0.1023 0.0822 0.0347

80.37940668 67.68792142 85.36008194 47.64283643 278.8656431

6-3 3-4 4-5 5-6

9.1720008567 1.1404088076 0.6235657186 1.1893557687 0.3548143942

19.828712345 2.6068446797 1.5736729241 2.6494061623 1.3808725285

L(m) 200 120 200 120

D(m) 0.2 0.25 0.2 0.254

hm 3.3446091132 0.9680239332 0.7438510548 0.1164314032 6.0729848446 6.1172850938 1.655070371 0.5404033149 0.2301391663 0.0028502865

ht 32.030931143 2.3381305798 1.8807333132 0.4923103985 12.75273398 13.445980454 3.717760364 1.3744552236 0.5562543757 0.0168853586

8--7 7--6 6--5 2--7 3--6 Circuito 3 Q(m3/s) 0.03567 -1 0.08453 1 0.01453 1 0.08547 -1

ht -1.38087253 1.65522085 0.2628989 -1.57367292 -1.03642571 DQ=

ht/Q 38.7124342 19.5814604 18.0935235 18.4119916 94.7994097 0.00590326

ht -0.01688536 1.88073331 0.4923104 -1.37445522 0.98170313 DQ=

ht/Q 5.281576 20.7969215 24.0935863 17.2742422 67.4463261 -0.00785925

1.141 1.141E-06 r´ 185.9104287 46.92389421 90.95564441 278.8656431 50.76594106 80.37940668 67.68792142 85.36008194 47.64283643 278.8656431

6-3 3-4 4-5 5-6

L(m) 200 120 200 120

D(m) 0.2 0.25 0.2 0.254

tuberia 1--2 2--3 3--4 4--5 1--8 8--7 7--6 6--5 2--7 3--6 Circuito 3 Q(m3/s) 0.00319703 -1 0.09043326 1 0.02043326 1 0.07956674 -1

1.141 1.141E-06 r´ hm ht 185.9104287 2.9308723534 28.341259307 46.92389421 1.0811992509 2.5970034722

tuberia 1--2 2--3

90.95564441 278.8656431 50.76594106 80.37940668 67.68792142 85.36008194 47.64283643 278.8656431

0.6201780567 0.0440902485 6.3776583277 6.5032479529 1.4867577524 0.6524330472 0.3543013538 0.103019857

1.5835336803 0.2016756684 13.367137857 14.257886908 3.3563076398 1.64251283 0.8371350471 0.4397913946

6-3 3-4 4-5 5-6

L(m) 200 120 200 120

D(m) 0.2 0.25 0.2 0.254

hm 2.9403076127 1.0268632854 0.6519151492 0.059936474 6.3703931287 6.4940171863 1.5652812032 0.6216633285 0.321683691 0.049110377

ht 28.42577529 2.4728792183 1.6600566511 0.2672487392 13.352498701 14.238490387 3.5251374695 1.5691309243 0.7638779254 0.2226175193

3--4 4--5 1--8 8--7 7--6 6--5 2--7 3--6 Circuito 3 Q(m3/s) 0.01922042 -1 0.08257401 1 0.01257401 1 0.08742599 -1

ht -0.43979139 1.58353368 0.20167567 -1.64251283 -0.29709488 DQ=

ht/Q 22.8814616 19.1771442 16.0390905 18.787466 76.8851622 0.00208647

ht -0.22261752 1.66005665 0.26724874 -1.56913092 0.13555695 DQ=

ht/Q 16.7752967 19.6084019 18.2291986 18.3869192 72.9998164 -0.00100267

1.141 1.141E-06 r´ 185.9104287 46.92389421 90.95564441 278.8656431 50.76594106 80.37940668 67.68792142 85.36008194 47.64283643 278.8656431

6-3 3-4 4-5 5-6

1.141 1.141E-06

L(m) 200 120 200 120

D(m) 0.2 0.25 0.2 0.254

tuberia 1--2 2--3 3--4 4--5 1--8 8--7 7--6 6--5 2--7 3--6 Circuito 3 Q(m3/s) 0.01327056 -1 0.08466048 1 0.01466048 1 0.08533952 -1

r´ 185.9104287 46.92389421 90.95564441 278.8656431 50.76594106 80.37940668 67.68792142 85.36008194 47.64283643 278.8656431

6-3 3-4 4-5 5-6

hm 2.9347693452 1.0343496522 0.6365647395 0.052018375 6.3746557063 6.4994328284 1.5542197844 0.6363572565 0.3268464758 0.0611776633

ht 28.376168687 2.4899982706 1.6230678625 0.2346729082 13.361087735 14.249870347 3.5013764975 1.6041956002 0.7754954308 0.2723247026

L(m) 200 120 200 120

D(m) 0.2 0.25 0.2 0.254

hm 2.9355725239 1.0302994481 0.6386645977 0.0530738757 6.3740371949 6.4986469766 1.5601942702 0.6343266434 0.3244189462 0.057686414

ht 28.3833632 2.4807373808 1.6281302999 0.2390358131 13.359841455 14.248219048 3.5142111249 1.5993522382 0.7700339838 0.2580266837

tuberia 1--2 2--3 3--4 4--5 1--8 8--7 7--6 6--5 2--7 3--6 Circuito 3 Q(m3/s) 0.0148115 -1 0.0836578 1 0.0136578 1 0.0863422 -1

ht -0.2723247 1.62306786 0.23467291 -1.6041956 -0.01877953 DQ=

ht/Q 18.3860358 19.4012726 17.1823306 18.579509 73.5491479 0.00013787

ht -0.25802668 1.6281303 0.23903581 -1.59935224 0.00978719 DQ=

ht/Q 17.9401205 19.4297658 17.3268684 18.553039 73.2497936 -7.2146E-05

1.141 1.141E-06 r´ 185.9104287 46.92389421 90.95564441 278.8656431 50.76594106 80.37940668 67.68792142 85.36008194 47.64283643 278.8656431

6-3 3-4 4-5 5-6

L(m) 200 120 200 120

D(m) 0.2 0.25 0.2 0.254

tuberia 1--2 2--3 3--4 4--5 1--8 8--7 7--6 6--5 2--7 3--6 Circuito 3 Q(m3/s) 0.01438266 -1 0.08379567 1 0.01379567 1 0.08620433 -1

1.141 1.141E-06 r´ 185.9104287 46.92389421 90.95564441 278.8656431 50.76594106 80.37940668 67.68792142 85.36008194 47.64283643 278.8656431

hm 2.9351610456 1.0309047381 0.6375653263 0.0525202178 6.3743540515 6.4990495587 1.5592999283 0.6353888433 0.3248305204 0.0586179778

ht 28.37967738 2.4821214956 1.6254802264 0.236748099 13.360479911 14.249064989 3.5122899939 1.6018858619 0.770960076 0.2618479882

8.222 l/S

60 l/S 125.650 l/S 1 C1 82.571 l/S

+

480 l/S

354.350 l/S 8jjjj

284.350 l/S

70 l/S

tuberia 1--2 2--3 3--4 4--5 1--8 8--7 7--6 6--5 2--7 3--6

1-2 8-1 7-8 2-7

Q(m3/s) 0.12565046 -0.35434954 -0.28434954 -0.08257139

7-2 3-6 6-7 2-3

0.08257139 0.01449833 -0.15177814 0.14822186

6-3 3-4 4-5 5-6

-0.01449833 0.08372353 0.01372353 -0.08627647

284.350 l/S

19.138 m

50 m

21.620 m

18.879 m

22.391 m

Q asumido 0.0722 m3/s 0.4078 m3/s 0.1580 m3/s 0.1298 m3/s 0.0845 m3/s 0.0357 m3/s

72.2 l/s 407.8 l/s 158 l/s 129.8 l/s 84.53 l/s 35.67 l/s

DQ Q+DQ % CAMBIO 0.03247297 -0.0031970303 -91.0372013 0.005903255 0.0904332552 6.98362149 0.005903255 0.0204332552 40.6280471 0.005903255 -0.0795667448 -6.90681554

DQ Q+DQ % CAMBIO -0.016023394 -0.0192204241 501.19618 -0.007859246 0.082574009 -8.69065943 -0.007859246 0.012574009 -38.463016 -0.007859246 -0.087425991 9.87755155

DQ Q+DQ % CAMBIO 0.005949868 -0.0132705563 -30.9559652 0.002086468 0.0846604766 2.5267849 0.002086468 0.0146604766 16.5934953 0.002086468 -0.0853395234 -2.38655298

DQ Q+DQ % CAMBIO -0.00154094 -0.0148114964 11.6117219 -0.001002672 0.0836578043 -1.18434524 -0.001002672 0.0136578043 -6.83928873 -0.001002672 -0.0863421957 1.1749214

DQ Q+DQ % CAMBIO 0.000428835 -0.0143826617 -2.89528252 0.000137869 0.0837956731 0.16480094 0.000137869 0.0137956731 1.00945103 0.000137869 -0.0862043269 -0.15967725

DQ Q+DQ % CAMBIO -0.000115666 -0.0144983277 0.80420402 -7.21457E-05 0.0837235274 -0.08609721 -7.21457E-05 0.0137235274 -0.52295917 -7.21457E-05 -0.0862764726 0.08369155

Q 125.650 l/s 354.350 l/s 284.350 l/s 82.571 l/s 82.571 l/s 14.498 l/s 151.778 l/s 148.222 l/s 14.498 l/s 83.724 l/s 13.724 l/s 86.276 l/s

tuberia 1--2 2--3 3--4 4--5 1--8 8--7 7--6 6--5 2--7 3--6

50 m

36.64 m

ht 28.380 m 2.482 m 1.625 m 0.237 m 13.360 m 14.249 m 3.512 m 1.602 m 0.771 m 0.262 m

Circuito

I

n 1.85185 Tuberia AB BC AC

Longitud (km) 0.5 0.6 0.5

Chw 140 140 140

D (plg) 8 6 6

k 0.00369926 0.01802161 0.01501801

Q (l/s) 1.5 1 0.5 1 1 SUMATORIA

hf 0.00783807 0.01802161 0.00416054 0 0 0.03002022 DQ

70 l/S

14,53 l/S

hf/Q 0.00522538 0.01802161 0.00832109 0 0 0.03156808 -0.51352311

DQ

Q+DQ

%Cambio 1.5 1 0.5 1 1

0 0 0 0 0

50 l/S

84,53 l/S 70 l/S

+ 14,53 l/S

C3

170,2 l/S

35,67 l/S

60 l/S

72,2 l/S

480 l/S

C2

+ 158 l/S

100 l/S

85,47 l/S

129,8 l/S 80 l/S

50 l/S

C1

337.8 l/S

+

407,8 l/S

70 l/S

480 l/S

407,8 l/S

70 l/S