ejercicio con 2 circuitos.xlsx

METODO DE LA TEORÍA LINEAL

Elaboración de Circuitossistema de Ecuaciones

PRIMERA ITERACION

1.1. Cáculo de coeficientes de fricción DATOS DE IN GRESOTramo(1-2)(1-6)(2-3)(3-4)(4-5)(2-5)(5-6)

Tubería (1-2)Longitud= 350 Caudal 0.1Viscosidad= 0.00000115 Diámetro 0.25Ks 0.000100 Velocidad 2.0371785078

f Número de Denomin denomina G(f)dato Ks/d Rreynolds 1/fasumido DATO CALCULADO

0.001 0.000400 442,865 7.0832238 7.08322382 0.01993141210.019931 0.000400 442,865 7.6579913 7.657991319 0.01705180120.017052 0.000400 442,865 7.6391124 7.639112433 0.01713618710.017136 0.000400 442,865 7.6397261 7.639726057 0.01713343450.017133 0.000400 442,865 7.6397061 7.639706106 0.017133524



0.001 0.000500 553,581 7.1102984 7.110298405 0.01977991150.01978 0.000500 553,581 7.5526238 7.552623801 0.0175309033

0.017531 0.000500 553,581 7.5422778 7.542277825 0.01757903170.017579 0.000500 553,581 7.5425184 7.542518415 0.0175779102

0.017578 0.000500 553,581 7.5425128 7.542512819 0.0175779363

Tramo Longitud Diámet Caudal Velocidad(1-2) 350 0.25 0.1 2.037178508(1-6) 300 0.2 0.1 3.183091418(2-3) 450 0.25 0.1 2.037178508(3-4) 500 0.2 0.1 3.183091418(4-5) 400 0.15 0.1 5.658829188(2-5) 250 0.25 0.1 2.037178508(5-6) 300 0.2 0.1 3.183091418

ELABORACION DE LA MATRIZ

-1.00 -1.00 0.00 0.00 0.001.00 0.00 -1.00 0.00 0.000.00 0.00 1.00 -1.00 0.000.00 0.00 0.00 1.00 1.000.00 0.00 0.00 0.00 -1.0050.74 -136.16 0.00 0.00 0.00

0 0 67.35 226.94 -800.116M INVERSA

-0.380190638 0.4781396689 0.4721119 0.451800947 0.380-0.619809362 -0.478139669 -0.472112 -0.45180095 -0.380-0.012186549 -0.016727599 0.9235116 0.722145163 0.012-0.012186549 -0.016727599 -0.076488 0.722145163 0.0120.012186549 0.0167275991 0.0764884 0.277854837 -0.012186549-0.368004089 -0.505132732 -0.4514 -0.27034422 0.36800408880.380190638 0.5218603311 0.5278881 0.548199053 0.619809362

SEGUNDO ITERACION DATOS DE IN GRESOTramo(1-2)(1-6)(2-3)(3-4)(4-5)(2-5)(5-6)



0.001 0.000400 758,000 7.3439665 7.343966485 0.0185412337

0.018541 0.000400 758,000 7.75605 7.756049972 0.01662335970.016623 0.000400 758,000 7.7471456 7.747145641 0.01666159440.016662 0.000400 758,000 7.7473371 7.747337084 0.0166607710.016661 0.000400 758,000 7.747333 7.747332968 0.0166607887

CIRCUITO IITubería (3-4)

Longitud= 500 Caudal 0.068918687Viscosidad= 0.00000115 Diámetro 0.2Ks 0.000100 Velocidad 2.1937448012


0.001 0.000500 381,521 6.9289579 6.928957926 0.02082879530.020829 0.000500 381,521 7.4859862 7.485986195 0.01784440030.017844 0.000500 381,521 7.4685491 7.468549124 0.01792782140.017928 0.000500 381,521 7.4690897 7.469089695 0.01792522640.017925 0.000500 381,521 7.4690729 7.469072932 0.0179253069

Tramo Longitud Diámet Caudal Velocidad(1-2) 350 0.25 0.17115819 3.486797853(1-6) 300 0.2 0.12884181 4.101152609(2-3) 450 0.25 0.08391869 1.709573449(3-4) 500 0.2 0.06891869 2.193744801(4-5) 400 0.15 0.05608131 3.173545728(2-5) 250 0.25 0.0972395 1.980942255(5-6) 300 0.2 0.02884181 0.918061191


-1.00 -1.00 0.00 0.00 0.001.00 0.00 -1.00 0.00 0.000.00 0.00 1.00 -1.00 0.000.00 0.00 0.00 1.00 1.000.00 0.00 0.00 0.00 -1.0084.45 -173.61 0.00 0.00 0.00

0 0 60.54 159.49 -458.304M INVERSA

-0.518867561 0.2287543362 0.2198031 0.19622259 0.128-0.481132439 -0.228754336 -0.219803 -0.19622259 -0.128-0.025668236 -0.038153312 0.8765661 0.651908372 0.006-0.025668236 -0.038153312 -0.123434 0.651908372 0.0060.025668236 0.0381533122 0.1234339 0.348091628 -0.00635508-0.493199324 -0.733092352 -0.656763 -0.45568578 0.12210894370.518867561 0.7712456638 0.7801969 0.80377741 0.8715359761

TERCERA ITERACION DATOS DE IN GRESOTramo(1-2)(1-6)(2-3)(3-4)(4-5)(2-5)(5-6)



0.001 0.000400 926,870 7.4255444 7.425544394 0.01813607910.018136 0.000400 926,870 7.7841104 7.784110363 0.0165037270.016504 0.000400 926,870 7.7775572 7.777557154 0.01653155010.016532 0.000400 926,870 7.7776765 7.777676479 0.01653104280.016531 0.000400 926,870 7.7776743 7.777674306 0.0165310521




0.001 0.000500 291,410 6.7797206 6.779720629 0.02175586740.021756 0.000500 291,410 7.4264996 7.426499614 0.0181314140.018131 0.000500 291,410 7.4018499 7.401849884 0.0182523780.018252 0.000500 291,410 7.4027766 7.402776612 0.01824780840.018248 0.000500 291,410 7.4027418 7.402741753 0.0182479802

Tramo Longitud Diámet Caudal Velocidad(1-2) 350 0.25 0.20928962 4.263603067(1-6) 300 0.2 0.14071038 4.478940173(2-3) 450 0.25 0.0751409 1.530754275(3-4) 500 0.2 0.0526409 1.675607985(4-5) 400 0.15 0.0348591 1.972616899(2-5) 250 0.25 0.09914872 2.019836314(5-6) 300 0.2 -0.0092896 0.295696955


-1.00 -1.00 0.00 0.00 0.001.00 0.00 -1.00 0.00 0.000.00 0.00 1.00 -1.00 0.000.00 0.00 0.00 1.00 1.000.00 0.00 0.00 0.00 -1.00

102.46 -189.01 0.00 0.00 0.000 0 54.27 124.02 -292.457

M. INVERSA-0.6122662 0.0558473047 0.0433728 0.014868656 -0.052-0.3877338 -0.055847305 -0.043373 -0.01486866 0.052

-0.043442736 -0.066991411 0.8250109 0.578236102 -0.004-0.043442736 -0.066991411 -0.174989 0.578236102 -0.0040.043442736 0.0669914106 0.1749891 0.421763898 0.0037144857-0.568823464 -0.877161285 -0.781638 -0.56336745 -0.048636131

0.6122662 0.9441526953 0.9566272 0.985131344 1.0523506167

CUARTA ITERACION DATOS DE IN GRESOTramo(1-2)(1-6)(2-3)(3-4)(4-5)(2-5)(5-6)



0.001 0.000400 1,015,593 7.4597486 7.459748604 0.01797014640.01797 0.000400 1,015,593 7.7955128 7.795512783 0.0164554826

0.016455 0.000400 1,015,593 7.7898355 7.789835521 0.0164794770.016479 0.000400 1,015,593 7.7899312 7.789931207 0.01647907210.016479 0.000400 1,015,593 7.7899296 7.789929594 0.016479079



f Número de Denomin denomina G(f)

dato Ks/d Rreynolds 1/fasumido DATO CALCULADO

0.001 0.000500 244,059 6.6738111 6.673811131 0.02245185230.022452 0.000500 244,059 7.3817138 7.381713839 0.01835209250.018352 0.000500 244,059 7.3512223 7.351222331 0.01850465040.018505 0.000500 244,059 7.3525139 7.352513867 0.01849814990.018498 0.000500 244,059 7.3524591 7.352459122 0.0184984254



-1.00 -1.00 0.00 0.00 0.001.00 0.00 -1.00 0.00 0.000.00 0.00 1.00 -1.00 0.000.00 0.00 0.00 1.00 1.000.00 0.00 0.00 0.00 -1.00

111.91 -195.45 0.00 0.00 0.000 0 50.86 105.29 -212.266

M. INVERSA-0.657758221 -0.03437267 -0.049895 -0.08203162 -0.147-0.342241779 0.0343726704 0.0498948 0.082031618 0.147-0.059656007 -0.093813413 0.7792595 0.516470288 -0.013-0.059656007 -0.093813413 -0.22074 0.516470288 -0.0130.059656007 0.0938134127 0.2207405 0.483529712 0.0133159717-0.598102214 -0.940559258 -0.829154 -0.59850191 -0.1335039430.657758221 1.0343726704 1.0498948 1.082031618 1.1468199147

QUINTA ITERACION DATOS DE IN GRESOTramo(1-2)(1-6)(2-3)(3-4)(4-5)(2-5)(5-6)

Tubería (1-2)Longitud= 350 Caudal 0.239119671

Viscosidad= 0.00000115 Diámetro 0.25Ks 0.000100 Velocidad 4.8712945357


0.001 0.000400 1,058,977 7.4748093 7.474809346 0.01789780450.017898 0.000400 1,058,977 7.8004662 7.800466193 0.01643459030.016435 0.000400 1,058,977 7.7951541 7.795154095 0.0164569970.016457 0.000400 1,058,977 7.7952405 7.795240485 0.01645663230.016457 0.000400 1,058,977 7.7952391 7.79523908 0.0164566382




0.001 0.000500 218,986 6.6062531 6.606253076 0.02291340260.022913 0.000500 218,986 7.3520309 7.352030895 0.01850058040.018501 0.000500 218,986 7.3175135 7.317513523 0.01867552990.018676 0.000500 218,986 7.3190812 7.319081202 0.01866753050.018668 0.000500 218,986 7.3190099 7.319009941 0.018667894



-1.00 -1.00 0.00 0.00 0.001.00 0.00 -1.00 0.00 0.000.00 0.00 1.00 -1.00 0.000.00 0.00 0.00 1.00 1.000.00 0.00 0.00 0.00 -1.00

116.53 -198.96 0.00 0.00 0.000 0 48.97 95.34 -173.889

M. INVERSA-0.68104883 -0.079947618 -0.097474 -0.13159578 -0.194-0.31895117 0.0799476184 0.0974739 0.13159578 0.194

-0.071206829 -0.112913556 0.7474475 0.475584587 -0.020-0.071206829 -0.112913556 -0.252552 0.475584587 -0.0200.071206829 0.1129135556 0.2525525 0.524415413 0.020265898-0.609842001 -0.967034063 -0.844921 -0.60718037 -0.1735647560.68104883 1.0799476184 1.0974739 1.13159578 1.1938306537

SEXTA ITERACION DATOS DE IN GRESOTramo(1-2)(1-6)(2-3)(3-4)(4-5)(2-5)(5-6)



0.001 0.000400 1,080,414 7.4818945 7.481894508 0.0178639230.017864 0.000400 1,080,414 7.8027823 7.802782307 0.01642483510.016425 0.000400 1,080,414 7.7976377 7.797637663 0.01644651550.016447 0.000400 1,080,414 7.7977199 7.797719905 0.01644616860.016446 0.000400 1,080,414 7.7977186 7.79771859 0.0164461741




0.001 0.000500 205,942 6.5670733 6.567073307 0.02318762520.023188 0.000500 205,942 7.33442 7.334419957 0.0185895319

0.01859 0.000500 205,942 7.2974649 7.297464886 0.0187782870.018778 0.000500 205,942 7.299209 7.299209047 0.01876931380.018769 0.000500 205,942 7.2991266 7.299126649 0.0187697376

Tramo Longitud Diámet Caudal Velocidad(1-2) 350 0.25 0.2439602 4.969904681(1-6) 300 0.2 0.1497898 4.767946395

(2-3) 450 0.25 0.0662642 1.349920037(3-4) 500 0.2 0.0372017 1.184164114(4-5) 400 0.15 0.0174858 0.989491565(2-5) 250 0.25 0.103321 2.104833129(5-6) 300 0.2 -0.0439602 1.399293228


-1.00 -1.00 0.00 0.00 0.001.00 0.00 -1.00 0.00 0.000.00 0.00 1.00 -1.00 0.000.00 0.00 0.00 1.00 1.000.00 0.00 0.00 0.00 -1.00

118.81 -200.78 0.00 0.00 0.000 0 47.96 90.15 -155.325

M.INVERSA-0.692980843 -0.103054653 -0.121754 -0.1569014 -0.217-0.307019157 0.1030546531 0.1217543 0.156901404 0.217-0.078281576 -0.12460497 0.7282949 0.451811318 -0.025-0.078281576 -0.12460497 -0.271705 0.451811318 -0.0250.078281576 0.1246049697 0.2717051 0.548188682 0.0245649683-0.614699266 -0.978449683 -0.850049 -0.60871272 -0.1928942760.692980843 1.1030546531 1.1217543 1.156901404 1.2174592445

SETIMA ITERACION DATOS DE IN GRESOTramo(1-2)(1-6)(2-3)(3-4)(4-5)(2-5)(5-6)



0.001 0.000400 1,091,101 7.4853435 7.485343482 0.01784746470.017847 0.000400 1,091,101 7.8039065 7.803906492 0.0164201033

0.01642 0.000400 1,091,101 7.7988424 7.79884236 0.01644143490.016441 0.000400 1,091,101 7.7989226 7.798922633 0.01644109640.016441 0.000400 1,091,101 7.7989214 7.79892136 0.0164411018




0.001 0.000500 199,308 6.545927 6.545927003 0.02333768020.023338 0.000500 199,308 7.3247943 7.324794318 0.01863842160.018638 0.000500 199,308 7.2864929 7.286492949 0.01883488190.018835 0.000500 199,308 7.2883375 7.288337481 0.01882534970.018825 0.000500 199,308 7.2882486 7.288248561 0.018825809



-1.00 -1.00 0.00 0.00 0.001.00 0.00 -1.00 0.00 0.000.00 0.00 1.00 -1.00 0.000.00 0.00 0.00 1.00 1.000.00 0.00 0.00 0.00 -1.00

119.95 -201.71 0.00 0.00 0.000 0 47.45 87.51 -146.170

M. INVERSA-0.699036019 -0.114744737 -0.134088 -0.16976413 -0.229-0.300963981 0.1147447368 0.1340882 0.169764127 0.229-0.082236091 -0.131140954 0.7176664 0.438814963 -0.027-0.082236091 -0.131140954 -0.282334 0.438814963 -0.0270.082236091 0.1311409536 0.2823336 0.561185037 0.0269821324-0.616799927 -0.983603783 -0.851755 -0.60857909 -0.2023755870.699036019 1.1147447368 1.1340882 1.169764127 1.2293577195

OCTVA ITERACION DATOS DE IN GRESOTramo(1-2)(1-6)(2-3)

(3-4)(4-5)(2-5)(5-6)



0.001 0.000400 1,096,440 7.4870463 7.487046339 0.01783934720.017839 0.000400 1,096,440 7.8044607 7.804460746 0.01641777120.016418 0.000400 1,096,440 7.7994361 7.799436122 0.01643893160.016439 0.000400 1,096,440 7.7995154 7.799515435 0.01643859730.016439 0.000400 1,096,440 7.7995142 7.799514183 0.0164386026




0.001 0.000500 195,973 6.5349624 6.534962438 0.02341605930.023416 0.000500 195,973 7.3197701 7.319770128 0.01866401670.018664 0.000500 195,973 7.2807624 7.280762367 0.01886454290.018865 0.000500 195,973 7.2826604 7.282660374 0.01885471120.018855 0.000500 195,973 7.2825679 7.282567926 0.0188551899



-1.00 -1.00 0.00 0.00 0.001.00 0.00 -1.00 0.00 0.000.00 0.00 1.00 -1.00 0.000.00 0.00 0.00 1.00 1.00

0.00 0.00 0.00 0.00 -1.00120.52 -202.17 0.00 0.00 0.00

0 0 47.18 86.18 -141.609M. INVERSA

-0.702089929 -0.120633517 -0.140316 -0.17626379 -0.235-0.297910071 0.1206335168 0.1403162 0.176263793 0.235-0.084333919 -0.134608706 0.7120401 0.43196512 -0.028-0.084333919 -0.134608706 -0.28796 0.43196512 -0.0280.084333919 0.1346087059 0.2879599 0.56803488 0.0282680335-0.61775601 -0.986024811 -0.852356 -0.60822891 -0.2070667140.702089929 1.1206335168 1.1403162 1.176263793 1.2353347471

NOVENA ITERACION DATOS DE IN GRESOTramo(1-2)(1-6)(2-3)(3-4)(4-5)(2-5)(5-6)



0.001 0.000400 1,099,108 7.4878925 7.487892545 0.01783531540.017835 0.000400 1,099,108 7.804736 7.804735978 0.01641661330.016417 0.000400 1,099,108 7.7997309 7.799730929 0.0164376890.016438 0.000400 1,099,108 7.7998098 7.799809768 0.01643735670.016437 0.000400 1,099,108 7.7998085 7.799808526 0.0164373619




0.001 0.000500 194,304 6.5293838 6.529383804 0.02345608920.023456 0.000500 194,304 7.3172052 7.31720519 0.01867710380.018677 0.000500 194,304 7.2778359 7.277835862 0.0188797173

0.01888 0.000500 194,304 7.2797615 7.279761455 0.01886973070.01887 0.000500 194,304 7.2796672 7.279667173 0.0188702195



-1.00 -1.00 0.00 0.00 0.001.00 0.00 -1.00 0.00 0.000.00 0.00 1.00 -1.00 0.000.00 0.00 0.00 1.00 1.000.00 0.00 0.00 0.00 -1.00

120.81 -202.40 0.00 0.00 0.000 0 47.05 85.51 -139.329

M.INVERSA-0.703624102 -0.123590193 -0.143447 -0.17953313 -0.238-0.296375898 0.1235901928 0.1434473 0.179533125 0.238-0.08541545 -0.136396638 0.7091411 0.428439735 -0.029-0.08541545 -0.136396638 -0.290859 0.428439735 -0.0290.08541545 0.1363966377 0.2908589 0.571560265 0.0289318569

-0.618208653 -0.987193555 -0.852588 -0.60797286 -0.209399170.703624102 1.1235901928 1.1434473 1.179533125 1.2383310265

METODO DE LA


HARDY CROSSCIRCUITO TUBERÍA LONGIT DIAMETRO CAUDAL

I (1-2) 300 0.25 0.156

I (2-5) 300 0.1 0.029I (5-6) 500 0.2 -0.034I (6-1) 400 0.25 -0.074

CIRCUITO TUBERÍA LONGIT DIAMETRO

II (2-3) 400 0.1 0.03674II (3-4) 200 0.25 -0.00326II (4-5) 300 0.1 -0.03326II (2-5) 300 0.15 -0.02939

DATOS DE IN GRESOLongitud Diámetro Caudal

350 0.25 0.1300 0.2 0.1450 0.25 0.1500 0.2 0.1400 0.15 0.1250 0.25 0.1300 0.2 0.1

Tubería (1-6)Longitud= 300 Caudal 0.1 Longitud=Viscosida= 1.15E-006 Diámetro 0.2 Viscosida=Ks 0.000100 Velocidad 3.18309142 Ks

f Número de Denomin denomina G(f) fdato Ks/d Rreynolds 1/f datoasumido DATO CALCULADO asumido

0.001 0.000500 553,581 7.1102984 7.1102984 0.01977991 0.0010.019779912 0.000500 553,581 7.5526238 7.5526238 0.0175309 0.01993140.017530903 0.000500 553,581 7.5422778 7.5422778 0.01757903 0.01705180.017579032 0.000500 553,581 7.5425184 7.5425184 0.01757791 0.0171362

0.01757791 0.000500 553,581 7.5425128 7.5425128 0.01757794 0.0171334



0.001 0.000667 738,108 7.0820715 7.0820715 0.0199379 0.0010.019937898 0.000667 738,108 7.379619 7.379619 0.01836251 0.01993140.018362513 0.000667 738,108 7.375327 7.375327 0.01838389 0.01705180.018383891 0.000667 738,108 7.3753888 7.3753888 0.01838358 0.0171362

0.018383583 0.000667 738,108 7.3753879 7.3753879 0.01838359 0.0171334

f hfi Kmi HFI+km0.01713352 5.073806 0 50.738060.01757794 13.61628 0 136.16280.01713352 6.523465 10 67.349890.01757794 22.69379 0 226.93790.01838359 80.01164 0 800.11640.01713352 3.624147 0 36.241470.01757794 13.61628 0 136.1628


0.00 0.00 Q1-2 -0.4-1.00 0.00 Q1-6 0.080.00 0.00 Q2-3 0.030.00 0.00 Q3-4 0.051.00 1.00 Q5-4 0.04

36.24 -136.16 Q2-5 0.01-36.241475 0 Q6-5 0.00

M INVERSA Qi+1 Nuevos0.002792178 8.95E-005 Q1-2 0.242316 0.17115819-0.00279218 -8.9E-005 Q1-6 0.157684 0.128841818.9500E-005 0.0008873 Q2-3 0.067837 0.083918698.9500E-005 0.0008873 Q34 0.037837 0.06891869-8.950E-005 -0.000887 Q54 0.012163 0.056081310.002702678 -0.000798 Q25 0.094479 0.0972395-0.00279218 -8.9E-005 Q65 -0.04232 0.02884181


350 0.25 0.1711582300 0.2 0.1288418450 0.25 0.0839187500 0.2 0.0689187400 0.15 0.0560813250 0.25 0.0972395300 0.2 0.0288418



0.001 0.000500 713,244 7.2166485 7.2166485 0.01920122 0.001

0.019201223 0.000500 713,244 7.5888796 7.5888796 0.0173638 0.02028060.017363796 0.000500 713,244 7.5818207 7.5818207 0.01739614 0.01845440.017396143 0.000500 713,244 7.581954 7.581954 0.01739553 0.0184830.017395532 0.000500 713,244 7.5819515 7.5819515 0.01739554 0.0184825



0.001 0.000667 413,941 6.859077 6.859077 0.02125537 0.0010.021255369 0.000667 413,941 7.3081891 7.3081891 0.01872322 0.02001750.018723216 0.000667 413,941 7.2975881 7.2975881 0.01877765 0.01707920.018777653 0.000667 413,941 7.2978368 7.2978368 0.01877637 0.01716690.018776373 0.000667 413,941 7.297831 7.297831 0.0187764 0.017164

f hfi Kmi HFI+km0.01666079 14.45367 0 84.446260.01739554 22.36877 0 173.61420.01848255 4.955768 10 60.544030.01792531 10.99208 0 159.4934

0.0187764 25.70228 0 458.30380.01716406 3.432927 0 35.303830.01923966 1.239746 0 42.98434


0.00 0.00 Q1-2 -0.4-1.00 0.00 Q1-6 0.080.00 0.00 Q2-3 0.030.00 0.00 Q34 0.051.00 1.00 Q54 0.04

35.30 -42.98 Q25 0.01-35.303828 0 Q65 0

M INVERSA Qi+1 Nuevos0.002988624 0.0001478 Q1-2 0.247421 0.20928962-0.00298862 -0.000148 Q1-6 0.152579 0.140710380.000147846 0.0014086 Q2-3 0.0663631 0.07514090.000147846 0.0014086 Q34 0.0363631 0.0526409-0.00014785 -0.001409 Q54 0.0136369 0.03485910.002840777 -0.001261 Q25 0.1010579 0.09914872-0.00298862 -0.000148 Q65 -0.047421 -0.00928962


350 0.25 0.2092896300 0.2 0.1407104450 0.25 0.0751409500 0.2 0.0526409400 0.15 0.0348591250 0.25 0.0991487300 0.2 -0.00929



0.001 0.000500 778,946 7.2503813 7.2503813 0.01902297 0.0010.019022969 0.000500 778,946 7.5999521 7.5999521 0.01731324 0.02052050.017313238 0.000500 778,946 7.593801 7.593801 0.0173413 0.01851960.017341297 0.000500 778,946 7.5939089 7.5939089 0.0173408 0.01855390.017340804 0.000500 778,946 7.593907 7.593907 0.01734081 0.0185532



0.001 0.000667 257,298 6.6219728 6.6219728 0.02280474 0.0010.022804745 0.000667 257,298 7.2224515 7.2224515 0.01917038 0.0199575

0.01917038 0.000667 257,298 7.2019101 7.2019101 0.01927989 0.01706010.019279892 0.000667 257,298 7.2026048 7.2026048 0.01927617 0.01714550.019276173 0.000667 257,298 7.2025813 7.2025813 0.0192763 0.0171427

f hfi Kmi HFI+km0.01653105 21.44288 0 102.45550.01734081 26.59575 0 189.01060.01855324 3.988451 10 54.273930.01824798 6.528308 0 124.0159

0.0192763 10.1948 0 292.45750.01714278 3.564631 0 35.952370.02245843 0.150129 0 -16.161


0.00 0.00 Q1-2 -0.4-1.00 0.00 Q1-6 0.080.00 0.00 Q2-3 0.030.00 0.00 Q34 0.051.00 1.00 Q54 0.04

35.95 16.16 Q25 0.01-35.952368 0 Q65 0

M. INVERSA Qi+1 Nuevos0.003239323 0.0002298 Q1-2 0.2493573 0.22932343-0.00323932 -0.00023 Q1-6 0.1506427 0.145676570.000229843 0.0019899 Q2-3 0.0655336 0.070337270.000229843 0.0019899 Q34 0.0355336 0.04408727-0.00022984 -0.00199 Q54 0.0144664 0.024662730.00300948 -0.00176 Q25 0.1038236 0.10148617-0.00323932 -0.00023 Q65 -0.049357 -0.02932343


350 0.25 0.2293234300 0.2 0.1456766450 0.25 0.0703373500 0.2 0.0440873400 0.15 0.0246627250 0.25 0.1014862300 0.2 -0.029323



0.001 0.000500 806,438 7.2632048 7.2632048 0.01895586 0.0010.018955857 0.000500 806,438 7.604108 7.604108 0.01729432 0.02067350.017294318 0.000500 806,438 7.598285 7.598285 0.01732084 0.01856150.017320836 0.000500 806,438 7.5983841 7.5983841 0.01732038 0.01859960.017320384 0.000500 806,438 7.5983824 7.5983824 0.01732039 0.0185989


f Número de Denomin denomina G(f) f

dato Ks/d Rreynolds 1/f datoasumido DATO CALCULADO asumido

0.001 0.000667 182,038 6.4205477 6.4205477 0.02425805 0.0010.024258047 0.000667 182,038 7.1414356 7.1414356 0.0196078 0.01988660.019607804 0.000667 182,038 7.1098855 7.1098855 0.01978221 0.01703760.019782209 0.000667 182,038 7.1112426 7.1112426 0.01977466 0.01712030.019774659 0.000667 182,038 7.1111842 7.1111842 0.01977498 0.0171176

f hfi Kmi HFI+km0.01647908 25.66357 0 111.90990.01732039 28.47263 0 195.4510.01859887 3.503396 10 50.855010.01849843 4.641949 0 105.290.01977498 5.235058 0 212.26590.01711769 3.729221 0 36.74610.01920663 1.279297 0 -43.6271


0.00 0.00 Q1-2 -0.4-1.00 0.00 Q1-6 0.080.00 0.00 Q2-3 0.030.00 0.00 Q34 0.051.00 1.00 Q54 0.04

36.75 43.63 Q25 0.01-36.746103 0 Q65 0

M. INVERSA Qi+1 Nuevos0.003365336 0.0003052 Q1-2 0.2489159 0.23911967-0.00336534 -0.000305 Q1-6 0.1510841 0.148380330.000305222 0.0024959 Q2-3 0.065029 0.067683150.000305222 0.0024959 Q34 0.035029 0.03955815-0.00030522 -0.002496 Q54 0.014971 0.019816850.003060113 -0.002191 Q25 0.1038869 0.10268652-0.00336534 -0.000305 Q65 -0.048916 -0.03911967


350 0.25 0.2391197300 0.2 0.1483803450 0.25 0.0676832500 0.2 0.0395582400 0.15 0.0198168250 0.25 0.1026865300 0.2 -0.03912

Tubería (1-6)Longitud= 300 Caudal 0.1483803 Longitud=

Viscosida= 1.15E-006 Diámetro 0.2 Viscosida=Ks 0.000100 Velocidad 4.72308153 Ks


0.001 0.000500 821,405 7.2699003 7.2699003 0.01892096 0.0010.018920956 0.000500 821,405 7.6062663 7.6062663 0.01728451 0.02076590.017284505 0.000500 821,405 7.6006109 7.6006109 0.01731024 0.01858690.017310237 0.000500 821,405 7.6007057 7.6007057 0.0173098 0.01862750.017309805 0.000500 821,405 7.6007041 7.6007041 0.01730981 0.0186266



0.001 0.000667 146,270 6.2819284 6.2819284 0.02534043 0.0010.025340434 0.000667 146,270 7.0812797 7.0812797 0.01994236 0.01985120.019942358 0.000667 146,270 7.0408624 7.0408624 0.02017197 0.01702640.020171969 0.000667 146,270 7.0428615 7.0428615 0.02016052 0.01710770.020160519 0.000667 146,270 7.0427625 7.0427625 0.02016109 0.0171051

f hfi Kmi HFI+km0.01645664 27.86499 0 116.53160.01730981 29.5213 0 198.9570.01862666 3.248837 10 48.969660.01866789 3.771435 0 95.3390.02016109 3.445925 0 173.8887

0.0171052 3.815173 0 37.15360.01868606 2.215127 0 -56.6244


0.00 0.00 Q1-2 -0.4-1.00 0.00 Q1-6 0.080.00 0.00 Q2-3 0.030.00 0.00 Q34 0.051.00 1.00 Q54 0.04

37.15 56.62 Q25 0.01-37.153597 0 Q65 0

M. INVERSA Qi+1 Nuevos0.003423096 0.0003579 Q1-2 0.2488007 0.2439602-0.0034231 -0.000358 Q1-6 0.1511993 0.1497898

0.000357901 0.0028515 Q2-3 0.0648452 0.06626420.000357901 0.0028515 Q34 0.0348452 0.0372017-0.0003579 -0.002852 Q54 0.0151548 0.0174858

0.003065195 -0.002494 Q25 0.1039555 0.103321-0.0034231 -0.000358 Q65 -0.048801 -0.0439602


350 0.25 0.2439602300 0.2 0.1497898450 0.25 0.0662642500 0.2 0.0372017400 0.15 0.0174858250 0.25 0.103321300 0.2 -0.04396



0.001 0.000500 829,208 7.2733147 7.2733147 0.0189032 0.0010.018903196 0.000500 829,208 7.6073638 7.6073638 0.01727952 0.02081790.017279518 0.000500 829,208 7.6017929 7.6017929 0.01730485 0.01860130.017304854 0.000500 829,208 7.6018855 7.6018855 0.01730443 0.01864320.017304432 0.000500 829,208 7.601884 7.601884 0.01730444 0.0186423



0.001 0.000667 129,064 6.1990796 6.1990796 0.02602229 0.0010.026022294 0.000667 129,064 7.0436234 7.0436234 0.02015616 0.01983280.020156158 0.000667 129,064 6.9974365 6.9974365 0.02042312 0.01702060.020423119 0.000667 129,064 6.9998999 6.9998999 0.02040875 0.01710120.020408747 0.000667 129,064 6.9997683 6.9997683 0.02040951 0.0170986

f hfi Kmi HFI+km0.01644617 28.98612 0 118.81490.01730444 30.07548 0 200.7845

0.01864236 3.116668 10 47.962760.01876974 3.353691 0 90.148850.02040951 2.71598 0 155.32490.01709871 3.860998 0 37.368960.01850277 2.769788 0 -63.0067


0.00 0.00 Q1-2 -0.4-1.00 0.00 Q1-6 0.080.00 0.00 Q2-3 0.030.00 0.00 Q34 0.051.00 1.00 Q54 0.04

37.37 63.01 Q25 0.01-37.36896 0 Q65 0

M.INVERSA Qi+1 Nuevos0.003451366 0.0003899 Q1-2 0.2487864 0.2463733-0.00345137 -0.00039 Q1-6 0.1512136 0.15050170.000389879 0.003067 Q2-3 0.0648049 0.065534570.000389879 0.003067 Q34 0.0348049 0.03600332-0.00038988 -0.003067 Q54 0.0151951 0.016340430.003061487 -0.002677 Q25 0.1039815 0.10365123-0.00345137 -0.00039 Q65 -0.048786 -0.0463733


350 0.25 0.2463733300 0.2 0.1505017450 0.25 0.0655346500 0.2 0.0360033400 0.15 0.0163404250 0.25 0.1036512300 0.2 -0.046373



0.001 0.000500 833,149 7.2750199 7.2750199 0.01889434 0.0010.018894336 0.000500 833,149 7.6079112 7.6079112 0.01727703 0.02084540.017277032 0.000500 833,149 7.6023822 7.6023822 0.01730217 0.01860890.017302171 0.000500 833,149 7.6024738 7.6024738 0.01730175 0.01865150.017301754 0.000500 833,149 7.6024723 7.6024723 0.01730176 0.0186507



0.001 0.000667 120,610 6.1532241 6.1532241 0.02641159 0.0010.026411589 0.000667 120,610 7.0222385 7.0222385 0.02027911 0.01982330.020279108 0.000667 120,610 6.972715 6.972715 0.02056819 0.01701760.020568194 0.000667 120,610 6.9754627 6.9754627 0.02055199 0.01709780.020551994 0.000667 120,610 6.97531 6.97531 0.02055289 0.0170953

f hfi Kmi HFI+km0.0164411 29.55326 0 119.9532

0.01730176 30.35733 0 201.70760.01865068 3.049772 10 47.445290.01882581 3.150489 0 87.505520.02055289 2.388486 0 146.17040.01709535 3.884956 0 37.481040.01842373 3.06905 0 -66.1814


0.00 0.00 Q1-2 -0.4-1.00 0.00 Q1-6 0.080.00 0.00 Q2-3 0.030.00 0.00 Q34 0.051.00 1.00 Q54 0.04

37.48 66.18 Q25 0.01-37.481045 0 Q65 0

M. INVERSA Qi+1 Nuevos0.003465591 0.0004077 Q1-2 0.2487843 0.24757881-0.00346559 -0.000408 Q1-6 0.1512157 0.150858690.0004077 0.0031867 Q2-3 0.0647987 0.065166630.0004077 0.0031867 Q34 0.0347987 0.03540101-0.0004077 -0.003187 Q54 0.0152013 0.01577087

0.003057892 -0.002779 Q25 0.1039856 0.10381843-0.00346559 -0.000408 Q65 -0.048784 -0.04757881


350 0.25 0.2475788300 0.2 0.1508587450 0.25 0.0651666

500 0.2 0.035401400 0.15 0.0157709250 0.25 0.1038184300 0.2 -0.047579



0.001 0.000500 835,125 7.2758702 7.2758702 0.01888992 0.0010.01888992 0.000500 835,125 7.6081839 7.6081839 0.01727579 0.0208594

0.017275793 0.000500 835,125 7.6026758 7.6026758 0.01730083 0.01861280.017300835 0.000500 835,125 7.6027669 7.6027669 0.01730042 0.0186558

0.01730042 0.000500 835,125 7.6027653 7.6027653 0.01730043 0.0186549



0.001 0.000667 116,406 6.1289404 6.1289404 0.0266213 0.0010.026621297 0.000667 116,406 7.0107582 7.0107582 0.02034558 0.01981840.020345577 0.000667 116,406 6.9594278 6.9594278 0.02064681 0.0170160.020646808 0.000667 116,406 6.9623341 6.9623341 0.02062958 0.01709610.020629575 0.000667 116,406 6.9621693 6.9621693 0.02063055 0.0170936

f hfi Kmi HFI+km0.0164386 29.83864 0 120.5218

0.01730043 30.49917 0 202.17040.01865495 3.016312 10 47.184410.01885519 3.050713 0 86.175890.02063055 2.233289 0 141.60850.01709366 3.897115 0 37.537790.01838683 3.224219 0 -67.7659


0.00 0.00 Q1-2 -0.4-1.00 0.00 Q1-6 0.080.00 0.00 Q2-3 0.030.00 0.00 Q34 0.05

1.00 1.00 Q54 0.0437.54 67.77 Q25 0.01

-37.537792 0 Q65 0M. INVERSA Qi+1 Nuevos

0.003472763 0.0004171 Q1-2 0.248784 0.24818138-0.00347276 -0.000417 Q1-6 0.151216 0.151037370.000417143 0.00325 Q2-3 0.0647978 0.064982210.000417143 0.00325 Q34 0.0347978 0.03509939-0.00041714 -0.00325 Q54 0.0152022 0.015486540.00305562 -0.002833 Q25 0.1039862 0.1039023-0.00347276 -0.000417 Q65 -0.048784 -0.04818138


350 0.25 0.2481814300 0.2 0.1510374450 0.25 0.0649822500 0.2 0.0350994400 0.15 0.0154865250 0.25 0.1039023300 0.2 -0.048181



0.001 0.000500 836,114 7.2762946 7.2762946 0.01888772 0.0010.018887716 0.000500 836,114 7.60832 7.60832 0.01727518 0.02086650.017275175 0.000500 836,114 7.6028223 7.6028223 0.01730017 0.01861470.017300168 0.000500 836,114 7.6029131 7.6029131 0.01729975 0.0186580.017299755 0.000500 836,114 7.6029116 7.6029116 0.01729976 0.0186571



0.001 0.000667 114,307 6.1164174 6.1164174 0.02673042 0.0010.026730419 0.000667 114,307 7.0047961 7.0047961 0.02038023 0.0198160.020380227 0.000667 114,307 6.9525233 6.9525233 0.02068784 0.0170153

0.020687838 0.000667 114,307 6.9555134 6.9555134 0.02067005 0.01709530.020670054 0.000667 114,307 6.9553421 6.9553421 0.02067107 0.0170927

f hfi Kmi HFI+km0.01643736 29.9818 0 120.8060.01729976 30.57028 0 202.4021

0.0186571 2.999609 10 47.053670.01887022 3.001342 0 85.509780.02067107 2.157719 0 139.32860.01709281 3.903221 0 37.566260.01836898 3.303195 0 -68.5575


0.00 0.00 Q1-2 -0.4-1.00 0.00 Q1-6 0.080.00 0.00 Q2-3 0.030.00 0.00 Q34 0.051.00 1.00 Q54 0.04

37.57 68.56 Q25 0.01-37.566257 0 Q65 0

M.INVERSA Qi+1 Nuevos0.003476368 0.000422 Q1-2 0.2487839 0.24848263-0.00347637 -0.000422 Q1-6 0.1512161 0.151126750.000422009 0.0032827 Q2-3 0.0647976 0.064889910.000422009 0.0032827 Q34 0.0347976 0.0349485-0.00042201 -0.003283 Q54 0.0152024 0.015344460.003054359 -0.002861 Q25 0.1039863 0.10394428-0.00347637 -0.000422 Q65 -0.048784 -0.04848263

f hfi Kmi HFI+km0.01643736 29.9818 0 120.8060.01729976 30.57028 0 202.4021

0.0186571 2.999609 10 47.053670.01887022 3.001342 0 85.509780.02067107 2.157719 0 139.32860.01709281 3.903221 0 37.566260.01836898 3.303195 0 -68.5575

TEORIALINEAL

0.2482

0.1039 `-0.04820.1510

0.0650 0.002230.03510 0.0018

0.0154865 0.000430.1039023 0.2388889

Tubería (2-3)450 Caudal 0.1

Viscosida= 1.150E-006 Diámetro 0.250.000100 Velocidad 2.03717851

Número de Denomin denomina G(f)Ks/d Rreynolds 1/fDATO CALCULADO

0.000400 442,865 7.08322382 7.08322382 0.019931410.000400 442,865 7.65799132 7.65799132 0.01705180.000400 442,865 7.63911243 7.63911243 0.017136190.000400 442,865 7.63972606 7.63972606 0.017133430.000400 442,865 7.63970611 7.63970611 0.01713352

Tubería (2-5)250 Caudal 0.1 Longitud=

Viscosida= 1.150E-006 Diámetro 0.25 Viscosida=0.000100 Velocidad 2.03717851 Ks

Número de Denomin denomina G(f) fKs/d Rreynolds 1/f datoDATO CALCULADO asumido

0.000400 442,865 7.08322382 7.08322382 0.01993141 0.0010.000400 442,865 7.65799132 7.65799132 0.0170518 0.0197799120.000400 442,865 7.63911243 7.63911243 0.01713619 0.0175309030.000400 442,865 7.63972606 7.63972606 0.01713343 0.017579032

0.000400 442,865 7.63970611 7.63970611 0.01713352 0.01757791

Tubería (2-3)450 Caudal 0.0839187



0.000667 619,411 7.02198752 7.02198752 0.02028056

0.000667 619,411 7.36122587 7.36122587 0.018454390.000667 619,411 7.3555216 7.3555216 0.018483020.000667 619,411 7.35561721 7.35561721 0.018482540.000667 619,411 7.3556156 7.3556156 0.01848255




0.000400 430,640 7.06797781 7.06797781 0.02001749 0.0010.000400 430,640 7.65185656 7.65185656 0.01707915 0.0244277890.000400 430,640 7.63228066 7.63228066 0.01716688 0.018997650.000400 430,640 7.63292989 7.63292989 0.01716396 0.0192530270.000400 430,640 7.63290835 7.63290835 0.01716406 0.019238879

%18.21945438.4347535111.681768730.922317260.8799827

1.9256045410.473671

Tubería (2-3)450 Caudal 0.0751409



0.000667 554,621 6.98080847 6.98080847 0.020520530.000667 554,621 7.34826042 7.34826042 0.018519570.000667 554,621 7.34146646 7.34146646 0.018553860.000667 554,621 7.3415916 7.3415916 0.018553230.000667 554,621 7.34158929 7.34158929 0.01855324




0.000400 439,095 7.07858448 7.07858448 0.01995755 0.0010.000400 439,095 7.65612925 7.65612925 0.0170601 0.0324636190.000400 439,095 7.63703956 7.63703956 0.01714549 0.0217355420.000400 439,095 7.63766388 7.63766388 0.01714269 0.0225257130.000400 439,095 7.63764345 7.63764345 0.01714278 0.022451626

%8.736053413.409046856.8294302619.401598941.34320812.30322238

68.320164

Tubería (2-3)450 Caudal 0.0703373



0.000667 519,165 6.95493845 6.95493845 0.020673470.000667 519,165 7.33996379 7.33996379 0.018561460.000667 519,165 7.33243423 7.33243423 0.01859960.000667 519,165 7.33258085 7.33258085 0.018598860.000667 519,165 7.332578 7.332578 0.01859887



Número de Denomin denomina G(f) f

Ks/d Rreynolds 1/f datoDATO CALCULADO asumido

0.000400 449,447 7.09119423 7.09119423 0.01988663 0.0010.000400 449,447 7.66118071 7.66118071 0.01703761 0.0243418080.000400 449,447 7.64266131 7.64266131 0.01712028 0.0189690810.000400 449,447 7.64325686 7.64325686 0.01711761 0.0192196350.000400 449,447 7.6432377 7.6432377 0.01711769 0.019205886

%4.096792781.82218399

3.921376311.449247924.45338171.1689447125.0417175

Tubería (2-3)450 Caudal 0.0676832



0.000667 499,575 6.93944277 6.93944277 0.02076590.000667 499,575 7.33493796 7.33493796 0.018586910.000667 499,575 7.32694884 7.32694884 0.018627460.000667 499,575 7.3271095 7.3271095 0.018626640.000667 499,575 7.32710627 7.32710627 0.01862666




0.000400 454,763 7.09751515 7.09751515 0.01985123 0.0010.000400 454,763 7.66370137 7.66370137 0.0170264 0.0229624760.000400 454,763 7.64546467 7.64546467 0.01710772 0.018516460.000400 454,763 7.64604614 7.64604614 0.01710512 0.0186938540.000400 454,763 7.6460276 7.6460276 0.0171052 0.018685685

%1.984145610.94096823

2.14135986.3342668513.33107460.6140866711.0111555

Tubería (2-3)450 Caudal 0.0662642



0.000667 489,101 6.93077059 6.93077059 0.02081790.000667 489,101 7.33210676 7.33210676 0.018601260.000667 489,101 7.32385425 7.32385425 0.018643210.000667 489,101 7.32402316 7.32402316 0.018642350.000667 489,101 7.3240197 7.3240197 0.01864236




0.000400 457,572 7.10081516 7.10081516 0.01983278 0.0010.000400 457,572 7.6650143 7.6650143 0.01702057 0.0224637790.000400 457,572 7.64692435 7.64692435 0.01710119 0.0183559090.000400 457,572 7.64749856 7.64749856 0.01709863 0.0185090320.000400 457,572 7.64748033 7.64748033 0.01709871 0.018502495

%0.979451370.473013481.113347793.328519817.009438790.318601515.20365499

Tubería (2-3)450 Caudal 0.0655346



0.000667 483,716 6.9262001 6.9262001 0.020845390.000667 483,716 7.33060929 7.33060929 0.018608860.000667 483,716 7.32221617 7.32221617 0.018651550.000667 483,716 7.32238954 7.32238954 0.018650670.000667 483,716 7.32238596 7.32238596 0.01865068




0.000400 459,035 7.10252167 7.10252167 0.01982325 0.0010.000400 459,035 7.66569243 7.66569243 0.01701756 0.0222461210.000400 459,035 7.64767814 7.64767814 0.01709782 0.0182864370.000400 459,035 7.64824862 7.64824862 0.01709527 0.0184293740.000400 459,035 7.64823055 7.64823055 0.01709535 0.018423486

%0.486920050.236638090.56461341

1.70140513.611471950.161050822.53371364

Tubería (2-3)450 Caudal 0.0651666



0.000667 481,000 6.92386576 6.92386576 0.020859440.000667 481,000 7.32984304 7.32984304 0.018612750.000667 481,000 7.32137763 7.32137763 0.018655820.000667 481,000 7.32155331 7.32155331 0.018654930.000667 481,000 7.32154966 7.32154966 0.01865495




0.000400 459,775 7.10338283 7.10338283 0.01981844 0.0010.000400 459,775 7.66603442 7.66603442 0.01701604 0.0221439410.000400 459,775 7.64805825 7.64805825 0.01709612 0.0182539570.000400 459,775 7.64862685 7.64862685 0.01709358 0.0183922020.000400 459,775 7.64860886 7.64860886 0.01709366 0.018386604

%0.242794240.118301790.283809790.859312171.835943160.080720991.25062846

Tubería (2-3)450 Caudal 0.0649822



0.000667 479,639 6.92268813 6.92268813 0.020866540.000667 479,639 7.32945611 7.32945611 0.018614720.000667 479,639 7.32095411 7.32095411 0.018657980.000667 479,639 7.32113097 7.32113097 0.018657080.000667 479,639 7.32112729 7.32112729 0.0186571




0.000400 460,147 7.10381408 7.10381408 0.01981604 0.0010.000400 460,147 7.66620563 7.66620563 0.01701528 0.0220943840.000400 460,147 7.64824853 7.64824853 0.01709527 0.018238236

0.000400 460,147 7.6488162 7.6488162 0.01709273 0.0183742250.000400 460,147 7.64879825 7.64879825 0.01709281 0.018368766

%0.121233960.059142190.142233910.431747240.925933590.040385370.62134693

Tubería (5-6)300 Caudal 0.1

1.150E-006 Diámetro 0.20.000100 Velocidad 3.18309142


0.000500 553,581 7.11029841 7.11029841 0.019779910.000500 553,581 7.5526238 7.5526238 0.01753090.000500 553,581 7.54227783 7.54227783 0.017579030.000500 553,581 7.54251841 7.54251841 0.01757791

0.000500 553,581 7.54251282 7.54251282 0.01757794

Tubería (5-6)300 Caudal 0.0288418



0.000500 159,663 6.39820159 6.39820159 0.024427790.000500 159,663 7.25521121 7.25521121 0.018997650.000500 159,663 7.20693312 7.20693312 0.019253030.000500 159,663 7.20958261 7.20958261 0.019238880.000500 159,663 7.209437 7.209437 0.01923966

Tubería (5-6)300 Caudal -0.0092896



0.000500 51,426 5.5501093 5.5501093 0.032463620.000500 51,426 6.78288979 6.78288979 0.021735540.000500 51,426 6.6628606 6.6628606 0.022525710.000500 51,426 6.67384482 6.67384482 0.022451630.000500 51,426 6.67283383 6.67283383 0.02245843

Tubería (5-6)300 Caudal -0.0293234


Número de Denomin denomina G(f)

Ks/d Rreynolds 1/fDATO CALCULADO

0.000500 162,329 6.40949166 6.40949166 0.024341810.000500 162,329 7.26067259 7.26067259 0.018969080.000500 162,329 7.21319096 7.21319096 0.019219640.000500 162,329 7.21577238 7.21577238 0.019205890.000500 162,329 7.21563183 7.21563183 0.01920663

Tubería (5-6)300 Caudal -0.0391197



0.000500 216,559 6.59919008 6.59919008 0.022962480.000500 216,559 7.34887762 7.34887762 0.018516460.000500 216,559 7.3139263 7.3139263 0.018693850.000500 216,559 7.31552489 7.31552489 0.018685680.000500 216,559 7.31545171 7.31545171 0.01868606

Tubería (5-6)300 Caudal -0.0439602



0.000500 243,355 6.67203923 6.67203923 0.022463780.000500 243,355 7.3809464 7.3809464 0.018355910.000500 243,355 7.35035222 7.35035222 0.018509030.000500 243,355 7.35165056 7.35165056 0.018502490.000500 243,355 7.35159542 7.35159542 0.01850277

Tubería (5-6)300 Caudal -0.0463733



0.000500 256,714 6.70459965 6.70459965 0.022246120.000500 256,714 7.39495353 7.39495353 0.018286440.000500 256,714 7.36622032 7.36622032 0.018429370.000500 256,714 7.36739746 7.36739746 0.018423490.000500 256,714 7.3673492 7.3673492 0.01842373

Tubería (5-6)300 Caudal -0.0475788



0.000500 263,387 6.72005052 6.72005052 0.022143940.000500 263,387 7.40152972 7.40152972 0.018253960.000500 263,387 7.37366051 7.37366051 0.01839220.000500 263,387 7.37478286 7.37478286 0.01838660.000500 263,387 7.37473763 7.37473763 0.01838683

Tubería (5-6)300 Caudal -0.0481814



0.000500 266,723 6.72758284 6.72758284 0.022094380.000500 266,723 7.40471913 7.40471913 0.018238240.000500 266,723 7.37726663 7.37726663 0.01837423

0.000500 266,723 7.3783629 7.3783629 0.018368770.000500 266,723 7.37831909 7.37831909 0.01836898

Caudal 0Diámetro 0Velocidad #DIV/0!

Denomin denomina G(f)1/f

#DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0!



#DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0!







#DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0!


Caudal 0Diámetro 0

Velocidad #DIV/0!Denomin denomina G(f)

1/f





PRIMERA ITERACION

1.1. Cáculo de coeficientes de fricción

Tubería (1-2)Longitud= 350 Caudal 0.15 Longitud=Viscosidad= 1.2E-006 Diámetro 0.25 Viscosida=Ks 0.000100 Velocidad 3.0557677617 Ks

f Número deDenomindenomina G(f) fdato Ks/d Rreynolds 1/f datoasumido DATO CALCULADO asumido

0.001 ### 664,297 7.28568 7.285684 0.0188390643 0.0010.01884 ### 664,297 7.73525 7.735247 0.0167128947 0.0317880.01671 ### 664,297 7.72444 7.724436 0.0167597061 0.0215050.01676 ### 664,297 7.72469 7.724695 0.016758585 0.0222460.01676 ### 664,297 7.72469 7.724689 0.0167586118 0.022178


Longitud= 400 Caudal 0.05 Longitud=Viscosidad= 1.2E-006 Diámetro 0.15 Viscosida=Ks 0.000100 Velocidad 2.8294145941 Ks


0.001 ### 369,054 6.80625 6.806252 0.0215865878 0.0010.02159 ### 369,054 7.28998 7.289976 0.0188168876 0.0337620.01882 ### 369,054 7.27745 7.277449 0.0188817243 0.0218790.01888 ### 369,054 7.27777 7.277771 0.0188800528 0.0228370.01888 ### 369,054 7.27776 7.277763 0.0188800958 0.022737

CALCULO DE CAUDALESCIRCUITO TUBERÍA LONGIT DIAMETRO CAUDAL VELOCIDAD

supuestoI (1-2) 350 0.25 0.150 3.055768I (2-5) 300 0.2 0.010 0.318309I (5-6) 450 0.25 -0.040 0.814871I (6-1) 500 0.2 -0.080 2.546473

CIRCUITO TUBERÍA LONGIT DIAMETRO CAUDAL VELOCIDADsupuesto

II (2-3) 400 0.15 0.050 2.829415II (3-4) 250 0.25 0.010 0.203718II (4-5) 300 0.2 -0.020 0.636618II (2-5) 500 0.15 -0.010 0.565883

SEGUNDA ITERACION



0.001 ### 703,079 7.12116 7.121158 0.0197196276 0.0010.01972 ### 703,079 7.4536 7.453605 0.017999783 0.024355

0.018 ### 703,079 7.44813 7.448127 0.0180262709 0.0199490.01803 ### 703,079 7.44822 7.448217 0.0180258353 0.02010.01803 ### 703,079 7.44822 7.448215 0.0180258425 0.020094




0.001 ### 249,086 6.45988 6.459876 0.0239635755 0.0010.02396 ### 249,086 6.94896 6.948964 0.0207090379 0.0388220.02071 ### 249,086 6.93629 6.936292 0.0207847724 0.0241010.02078 ### 249,086 6.93662 6.936618 0.0207828189 0.0253110.02078 ### 249,086 6.93661 6.93661 0.0207828692 0.025179


I (1-2) 350 0.25 0.157 3.206041I (2-5) 300 0.2 0.034 1.079813

I (5-6) 450 0.25 -0.033 0.664598I (6-1) 500 0.2 -0.073 2.311671

CIRCUITO TUBERÍA LONGIT DIAMETRO CAUDAL VELOCIDAD

II (2-3) 400 0.15 0.033 1.893056II (3-4) 250 0.25 -0.007 0.133371II (4-5) 300 0.2 -0.037 1.16332II (2-5) 500 0.15 -0.034 1.919668

TERCERA ITERACION



0.001 ### 689,743 7.11429 7.114293 0.0197577079 0.0010.01976 ### 689,743 7.45145 7.451447 0.0180102089 0.0250940.01801 ### 689,743 7.4458 7.445799 0.0180375453 0.0201690.01804 ### 689,743 7.44589 7.445893 0.0180370883 0.0203550.01804 ### 689,743 7.44589 7.445891 0.0180370959 0.020347




0.001 ### 271,452 6.49949 6.499489 0.0236723589 0.0010.02367 ### 271,452 6.962 6.962004 0.0206315336 0.0497180.02063 ### 271,452 6.95083 6.950832 0.0206979078 0.027376

0.0207 ### 271,452 6.9511 6.9511 0.0206963108 0.0294840.0207 ### 271,452 6.95109 6.951093 0.0206963491 0.029204


I (1-2) 350 0.25 0.156 3.172817I (2-5) 300 0.2 0.029 0.922106I (5-6) 450 0.25 -0.034 0.697822I (6-1) 500 0.2 -0.074 2.363583


II (2-3) 400 0.15 0.037 2.081135II (3-4) 250 0.25 -0.003 0.065663II (4-5) 300 0.2 -0.033 1.057526II (2-5) 500 0.15 -0.029 1.6393

CUARTA ITERACION



0.001 ### 691,561 7.11524 7.115241 0.01975244 0.0010.01975 ### 691,561 7.45175 7.451746 0.0180087655 0.024920.01801 ### 691,561 7.44612 7.446121 0.0180359838 0.0201170.01804 ### 691,561 7.44621 7.446215 0.0180355298 0.0202940.01804 ### 691,561 7.44621 7.446213 0.0180355374 0.020287




0.001 ### 266,679 6.49145 6.491447 0.023731052 0.0010.02373 ### 266,679 6.95938 6.959378 0.0206471028 0.0464730.02065 ### 266,679 6.94791 6.94791 0.02071532 0.026440.02072 ### 266,679 6.94819 6.948189 0.0207136548 0.028274

0.02071 ### 266,679 6.94818 6.948182 0.0207136953 0.028042CALCULO DE CAUDALESCIRCUITO TUBERÍA LONGIT DIAMETRO CAUDAL VELOCIDAD

I (1-2) 350 0.25 0.156 3.181183I (2-5) 300 0.2 0.030 0.955764I (5-6) 450 0.25 -0.034 0.689456I (6-1) 500 0.2 -0.074 2.350512


II (2-3) 400 0.15 0.036 2.044537II (3-4) 250 0.25 -0.004 0.078838II (4-5) 300 0.2 -0.034 1.078112II (2-5) 500 0.15 -0.030 1.699136

quinta ITERACION



0.001 ### 691,230 7.11507 7.115068 0.0197533997 0.0010.01975 ### 691,230 7.45169 7.451691 0.0180090284 0.024960.01801 ### 691,230 7.44606 7.446062 0.0180362683 0.0201290.01804 ### 691,230 7.44616 7.446156 0.0180358137 0.0203080.01804 ### 691,230 7.44615 7.446154 0.0180358213 0.0203




0.001 ### 267,952 6.49361 6.493613 0.0237152194 0.001

0.02372 ### 267,952 6.96009 6.960087 0.0206429004 0.0472510.02064 ### 267,952 6.9487 6.948699 0.0207106182 0.0266680.02071 ### 267,952 6.94897 6.948975 0.0207089716 0.0285670.02071 ### 267,952 6.94897 6.948968 0.0207090116 0.028323


I (1-2) 350 0.25 0.156 3.179656I (2-5) 300 0.2 0.030 0.947885I (5-6) 450 0.25 -0.034 0.690983I (6-1) 500 0.2 -0.074 2.352898


II (2-3) 400 0.15 0.036 2.054302II (3-4) 250 0.25 -0.004 0.075323II (4-5) 300 0.2 -0.034 1.072619II (2-5) 500 0.15 -0.030 1.68513

sexta ITERACION



0.001 ### 691,323 7.11512 7.115117 0.0197531299 0.0010.01975 ### 691,323 7.45171 7.451707 0.0180089545 0.0249520.01801 ### 691,323 7.44608 7.446079 0.0180361883 0.0201260.01804 ### 691,323 7.44617 7.446172 0.0180357339 0.0203050.01804 ### 691,323 7.44617 7.446171 0.0180357415 0.020298



f Número deDenomindenomina G(f) f

dato Ks/d Rreynolds 1/f datoasumido DATO CALCULADO asumido

0.001 ### 267,732 6.49324 6.493239 0.0237179519 0.0010.02372 ### 267,732 6.95996 6.959964 0.0206436255 0.0471120.02064 ### 267,732 6.94856 6.948562 0.0207114295 0.0266270.02071 ### 267,732 6.94884 6.948839 0.0207097796 0.0285150.02071 ### 267,732 6.94883 6.948832 0.0207098197 0.028273


I (1-2) 350 0.25 0.156 3.180085I (2-5) 300 0.2 0.030 0.949507I (5-6) 450 0.25 -0.034 0.690554I (6-1) 500 0.2 -0.074 2.352227


II (2-3) 400 0.15 0.036 2.052611II (3-4) 250 0.25 -0.004 0.075931II (4-5) 300 0.2 -0.034 1.07357II (2-5) 500 0.15 -0.030 1.688012

setima ITERACION



0.001 ### 691,308 7.11511 7.115109 0.019753174 0.0010.01975 ### 691,308 7.4517 7.451704 0.0180089665 0.0249540.01801 ### 691,308 7.44608 7.446076 0.0180362014 0.0201270.01804 ### 691,308 7.44617 7.44617 0.0180357469 0.0203060.01804 ### 691,308 7.44617 7.446168 0.0180357545 0.020298


Longitud= 400 Caudal 0.0362816217 Longitud=

Viscosidad= 1.2E-006 Diámetro 0.15 Viscosida=Ks 0.000150 Velocidad 2.0531149978 Ks


0.001 ### 267,798 6.49335 6.493351 0.0237171371 0.0010.02372 ### 267,798 6.96 6.960001 0.0206434093 0.0471530.02064 ### 267,798 6.9486 6.948603 0.0207111875 0.0266390.02071 ### 267,798 6.94888 6.94888 0.0207095387 0.028530.02071 ### 267,798 6.94887 6.948873 0.0207095787 0.028288


I (1-2) 350 0.25 0.156 3.180015I (2-5) 300 0.2 0.030 0.949114I (5-6) 450 0.25 -0.034 0.690624I (6-1) 500 0.2 -0.074 2.352337


II (2-3) 400 0.15 0.036 2.053115II (3-4) 250 0.25 -0.004 0.07575II (4-5) 300 0.2 -0.034 1.073287II (2-5) 500 0.15 -0.030 1.687314

octava ITERACION



0.001 ### 695,687 7.11738 7.117378 0.019740579 0.0010.01974 ### 695,687 7.45242 7.452418 0.0180055169 0.0247980.01801 ### 695,687 7.44685 7.446846 0.0180324702 0.020080.01803 ### 695,687 7.44694 7.446939 0.0180320228 0.0202520.01803 ### 695,687 7.44694 7.446937 0.0180320303 0.020245




0.001 ### 267,788 6.49333 6.493334 0.0237172603 0.0010.02372 ### 267,788 6.96 6.959995 0.020643442 0.0471470.02064 ### 267,788 6.9486 6.948597 0.0207112241 0.0266370.02071 ### 267,788 6.94887 6.948873 0.0207095751 0.0285280.02071 ### 267,788 6.94887 6.948867 0.0207096151 0.028286


I (1-2) 350 0.25 0.157 3.200159I (2-5) 300 0.2 0.031 0.980633I (5-6) 450 0.25 -0.033 0.67048I (6-1) 500 0.2 -0.073 2.320861


II (2-3) 400 0.15 0.036 2.053039II (3-4) 250 0.25 -0.004 0.075777II (4-5) 300 0.2 -0.034 1.07333II (2-5) 500 0.15 -0.03081 1.743347

RESULTADOS FINALESCIRCUITO TUBERÍA LONGIT DIAMETRO CAUDAL Altura de

I (1-2) 350 0.25 0.156 100I (2-5) 300 0.2 0.029I (5-6) 450 0.25 -0.034I (6-1) 500 0.2 -0.074

CIRCUITO TUBERÍA LONGIT DIAMETRO CAUDAL

II (2-3) 400 0.15 0.037II (3-4) 250 0.25 -0.003

II (4-5) 300 0.2 -0.033II (2-5) 500 0.15 -0.029

Tubería (2-5) Tubería (5-6)300 Caudal 0.01 Longitud= 450

Viscosida= 1.15E-006 Diámetro 0.2 Viscosida= 1.15E-0060.000100 Velocidad 0.318309 Ks 0.000100

Número deDenomindenomina G(f) f Número deKs/d Rreynolds 1/f dato Ks/d RreynoldsDATO CALCULADO asumido DATO CALCULADO

0.000500 55,358 5.6088 5.608783 0.03179 0.001 ### 177,1460.000500 55,358 6.8191 6.819111 0.02151 0.023599 ### 177,1460.000500 55,358 6.7046 6.704606 0.02225 0.018279 ### 177,1460.000500 55,358 6.7148 6.714815 0.02218 0.018543 ### 177,1460.000500 55,358 6.7139 6.713899 0.02218 0.018528 ### 177,146




0.000400 44,286 5.4423 5.442322 0.03376 0.001 ### 147,6220.000400 44,286 6.7606 6.760646 0.02188 0.025292 ### 147,6220.000400 44,286 6.6173 6.617346 0.02284 0.019927 ### 147,6220.000400 44,286 6.6318 6.631826 0.02274 0.020154 ### 147,6220.000400 44,286 6.6304 6.630352 0.02275 0.020143 ### 147,622

f hfi Kmi HFI+km Correción Nuevo Caudal

0.0167586 11.166261 0 74.44174 0.00738 0.1570.0221845 0.1718465 0 17.18465 0.00738 0.016547 0.0340.0185285 -1.128734 0 28.21834 0.00738 -0.0330.0177736 -14.6857 0 183.5712 0.00738 -0.073sumas -4.476324 303.4159

0.0073765f hfi Kmi HFI+km Correción Nuevo

Caudal0.0188169 20.474377 10 413.5679 -0.01655 0.0330.0218788 0.0462789 0 4.627887 -0.01655 -0.0070.0199273 -0.617446 0 30.8723 -0.01655 -0.0370.0215053 -1.169977 0 116.9977 -0.01655 -0.00738 -0.034sumas 18.733233 566.0658

-0.016547




0.000750 187,794 6.4077 6.407734 0.02436 0.001 ### 144,4780.000750 187,794 7.0802 7.08017 0.01995 0.02523 ### 144,4780.000750 187,794 7.0535 7.05351 0.0201 0.019658 ### 144,4780.000750 187,794 7.0546 7.054551 0.02009 0.01991 ### 144,4780.000750 187,794 7.0545 7.054511 0.02009 0.019896 ### 144,478

Tubería (3-4) Tubería (4-5)250 Caudal -0.00655 Longitud= 300



0.000600 28,994 5.0753 5.075277 0.03882 0.001 ### 202,3170.000600 28,994 6.4415 6.441485 0.0241 0.02403 ### 202,3170.000600 28,994 6.2856 6.285572 0.02531 0.019853 ### 202,3170.000600 28,994 6.302 6.302014 0.02518 0.019989 ### 202,3170.000600 28,994 6.3003 6.300266 0.02519 0.019984 ### 202,317


0.0180258 13.220954 0 84.00841 -0.00163 0.155750.020094 1.7912485 0 52.80272 -0.00163 -0.00332 0.029

Correción ΔQ=

Correción ΔQ=

0.0198972 -0.806274 0 24.71456 -0.00163 -0.034250.0192258 -13.09111 0 180.26 -0.00163 -0.07425sumas 1.1148215 341.7857

-0.001631f hfi Kmi HFI+km Correción Nuevo

Caudal0.020709 10.086869 10 303.3489 0.00332 0.03678

0.0241006 0.0218502 0 -3.337497 0.00332 -0.003220.0198528 -2.054053 0 56.20326 0.00332 -0.033220.0207042 -12.96254 0 382.1118 0.00332 0.001631 -0.029sumas -4.907872 738.3265

0.0033236




0.000750 160,366 6.3127 6.312722 0.02509 0.001 ### 151,7000.000750 160,366 7.0414 7.041404 0.02017 0.024972 ### 151,7000.000750 160,366 7.0092 7.009154 0.02035 0.019575 ### 151,7000.000750 160,366 7.0106 7.010557 0.02035 0.019813 ### 151,7000.000750 160,366 7.0105 7.010496 0.02035 0.019801 ### 151,700




0.000600 14,275 4.4848 4.484807 0.04972 0.001 ### 183,9170.000600 14,275 6.0439 6.043858 0.02738 0.024449 ### 183,9170.000600 14,275 5.8238 5.823798 0.02948 0.019976 ### 183,9170.000600 14,275 5.8517 5.85168 0.0292 0.020132 ### 183,9170.000600 14,275 5.8481 5.848097 0.02924 0.020126 ### 183,917

f hfi Kmi HFI+km Correción Nuevo

Correción ΔQ=

Correción ΔQ=

Caudal0.0180371 12.956443 0 83.18975 0.00041 0.156160.0203471 1.3226861 0 45.65884 0.00041 0.000647 0.0300.0198012 -0.884616 0 25.82493 0.00041 -0.033840.0192076 -13.67277 0 184.1344 0.00041 -0.07384sumas -0.27826 338.8079


Caudal0.0206315 12.145118 10 332.4463 -0.00065 0.036130.0273761 0.006016 0 -1.86647 -0.00065 -0.003870.0199764 -1.708009 0 51.4101 -0.00065 -0.033870.0208599 -9.523786 0 328.7591 -0.00065 -0.00041 -0.030sumas 0.9193388 710.749

-0.000647




0.000750 166,220 6.3347 6.334699 0.02492 0.001 ### 149,8820.000750 166,220 7.0505 7.05052 0.02012 0.025035 ### 149,8820.000750 166,220 7.0196 7.019608 0.02029 0.019595 ### 149,8820.000750 166,220 7.0209 7.020921 0.02029 0.019837 ### 149,8820.000750 166,220 7.0209 7.020865 0.02029 0.019824 ### 149,882




0.000600 17,139 4.6387 4.638715 0.04647 0.001 ### 187,4980.000600 17,139 6.1499 6.149879 0.02644 0.024362 ### 187,4980.000600 17,139 5.9471 5.947076 0.02827 0.019951 ### 187,4980.000600 17,139 5.9717 5.971695 0.02804 0.020102 ### 187,498

Correción ΔQ=

Correción ΔQ=

0.000600 17,139 5.9687 5.968669 0.02807 0.020096 ### 187,498


0.0180355 13.02373 0 83.40188 -7E-005 0.156080.020287 1.416812 0 47.18574 -7E-005 -0.00017 0.030

0.0198247 -0.864555 0 25.54553 -7E-005 -0.033920.0192121 -13.52513 0 183.1589 -7E-005 -0.07392sumas 0.0508609 339.292

-7.50E-005f hfi Kmi HFI+km Correción Nuevo

Caudal0.0206471 11.730563 10 326.8067 0.00017 0.03630.0264403 0.0083761 0 -2.164376 0.00017 -0.00370.0199507 -1.772874 0 52.34355 0.00017 -0.03370.0208229 -10.21356 0 340.1541 0.00017 7.5E-005 -0.030sumas -0.247497 717.14

0.0001726




0.000750 164,850 6.3296 6.329645 0.02496 0.001 ### 150,2140.000750 164,850 7.0484 7.048431 0.02013 0.025023 ### 150,2140.000750 164,850 7.0172 7.017215 0.02031 0.019592 ### 150,2140.000750 164,850 7.0185 7.018547 0.0203 0.019832 ### 150,2140.000750 164,850 7.0185 7.01849 0.0203 0.01982 ### 150,214




0.000600 16,375 4.6004 4.600407 0.04725 0.001 ### 186,542

Correción ΔQ=

Correción ΔQ=

0.000600 16,375 6.1236 6.123616 0.02667 0.024385 ### 186,5420.000600 16,375 5.9166 5.916557 0.02857 0.019957 ### 186,5420.000600 16,375 5.942 5.941968 0.02832 0.02011 ### 186,5420.000600 16,375 5.9388 5.938809 0.02835 0.020104 ### 186,542


0.0180358 13.011436 0 83.36316 2E-005 0.15610.0203008 1.3944934 0 46.82845 2E-005 3.0E-005 0.0300.0198203 -0.8682 0 25.59653 2E-005 -0.03390.0192113 -13.55202 0 183.3369 2E-005 -0.0739sumas -0.014286 339.1251

2.11E-005f hfi Kmi HFI+km Correción Nuevo

Caudal0.0206429 11.840471 10 328.3114 -3E-005 0.036270.0266676 0.0077115 0 -2.085644 -3E-005 -0.003730.0199575 -1.755451 0 52.09453 -3E-005 -0.033730.0208314 -10.04995 0 337.4873 -3E-005 -2E-005 -0.030sumas 0.0427776 715.8076

-2.99E-005




0.000750 165,132 6.3307 6.33069 0.02495 0.001 ### 150,1200.000750 165,132 7.0489 7.048863 0.02013 0.025027 ### 150,1200.000750 165,132 7.0177 7.01771 0.02031 0.019593 ### 150,1200.000750 165,132 7.019 7.019038 0.0203 0.019833 ### 150,1200.000750 165,132 7.019 7.018982 0.0203 0.019821 ### 150,120



Número deDenomindenomina G(f) f Número de

Correción ΔQ=

Correción ΔQ=

Ks/d Rreynolds 1/f dato Ks/d RreynoldsDATO CALCULADO asumido DATO CALCULADO

0.000600 16,507 4.6072 4.607171 0.04711 0.001 ### 186,7080.000600 16,507 6.1283 6.12826 0.02663 0.024381 ### 186,7080.000600 16,507 5.922 5.921954 0.02851 0.019956 ### 186,7080.000600 16,507 5.9472 5.947224 0.02827 0.020109 ### 186,7080.000600 16,507 5.9441 5.944089 0.0283 0.020103 ### 186,708


0.0180357 13.01489 0 83.37404 -3E-006 0.15610.0202979 1.3990728 0 46.90199 -3E-006 -9E-006 0.029820.0198215 -0.867175 0 25.5822 -3E-006 -0.03390.0192115 -13.54446 0 183.2869 -3E-006 -0.0739sumas 0.002332 339.1451

-3.44E-006f hfi Kmi HFI+km Correción Nuevo

Caudal0.0206436 11.821403 10 328.0508 9E-006 0.036280.0266272 0.0078247 0 -2.099314 9E-006 -0.003720.0199563 -1.758462 0 52.13766 9E-006 -0.033720.0208296 -10.08352 0 338.0362 9E-006 3.4E-006 -0.02982sumas -0.012756 716.1254

8.91E-006




0.000750 165,063 6.3304 6.330437 0.02495 0.001 ### 150,1360.000750 165,063 7.0488 7.048759 0.02013 0.025026 ### 150,1360.000750 165,063 7.0176 7.01759 0.02031 0.019592 ### 150,1360.000750 165,063 7.0189 7.01892 0.0203 0.019833 ### 150,1360.000750 165,063 7.0189 7.018863 0.0203 0.019821 ### 150,136


Correción ΔQ=

Correción ΔQ=



0.000600 16,467 4.6052 4.605161 0.04715 0.001 ### 186,6590.000600 16,467 6.1269 6.12688 0.02664 0.024382 ### 186,6590.000600 16,467 5.9204 5.92035 0.02853 0.019957 ### 186,6590.000600 16,467 5.9457 5.945663 0.02829 0.020109 ### 186,6590.000600 16,467 5.9425 5.94252 0.02832 0.020103 ### 186,659


0.0180358 13.014326 0 83.37227 0.00099 0.157090.0202986 1.3979625 0 46.88417 0.00099 1.3E-006 0.030810.0198214 -0.867342 0 25.58454 0.00099 -0.032910.0201878 -14.23407 0 192.6099 0.00099 -0.07291sumas -0.689123 348.4509


Caudal0.0206434 11.827085 10 328.1285 -1E-006 0.036280.0266392 0.0077909 0 -2.095241 -1E-006 -0.003720.0199566 -1.757564 0 52.1248 -1E-006 -0.03372

0.02083 -10.07538 0 337.9032 -1E-006 -0.00099 -0.03081sumas 0.0019287 716.0613

-1.35E-006




0.000750 170,545 6.3503 6.350301 0.0248 0.001 ### 145,7560.000750 170,545 7.0569 7.056937 0.02008 0.025183 ### 145,7560.000750 170,545 7.027 7.026959 0.02025 0.019643 ### 145,7560.000750 170,545 7.0282 7.02821 0.02024 0.019892 ### 145,7560.000750 170,545 7.0282 7.028158 0.02024 0.019879 ### 145,756

Correción ΔQ=

Correción ΔQ=




0.000600 16,473 4.6055 4.605465 0.04715 0.001 ### 186,6660.000600 16,473 6.1271 6.127089 0.02664 0.024382 ### 186,6660.000600 16,473 5.9206 5.920593 0.02853 0.019957 ### 186,6660.000600 16,473 5.9459 5.945899 0.02829 0.020109 ### 186,6660.000600 16,473 5.9428 5.942758 0.02832 0.020103 ### 186,666


0.018032 13.17701 0 83.88308 -0.00096 0.156120.020245 1.4884073 0 48.31307 -0.00096 -0.00046 0.02939

0.0198796 -0.819884 0 24.91128 -0.00096 -0.033880.0192225 -13.19316 0 180.946 -0.00096 -0.07388sumas 0.6523694 338.0534

-0.000965f hfi Kmi HFI+km Correción Nuevo

Caudal0.0206434 11.826225 10 328.1168 0.00046 0.036740.0266374 0.007796 0 -2.095857 0.00046 -0.003260.0199566 -1.7577 0 52.12675 0.00046 -0.03326

0.020797 -10.7386 0 348.5704 0.00046 0.000965 -0.02939sumas -0.662278 726.718

0.0004557

hfi+Kñi altura deNudo camino agua

13.0960724 1 100 100.0001.41977596 2 (1-2) 86.904-0.8439211 5 (1-2)+(2-5) 85.484-13.367757 6 (1-6) 86.632

12.0536772 3 (1-2)-(2-3) 74.8500.00684101 4 83.750

Correción ΔQ=

Correción ΔQ=

-1.7339474-10.243437

Tubería (5-6) Tubería (1-6)Caudal -0.04 Longitud= 500 CaudalDiámetro 0.25 Viscosida= 1.15E-006 DiámetrVelocidad 0.8148714 Ks 0.000100 Velocida

Denomin denomina G(f) f Número deDenomindenomin1/f dato Ks/d Rreynolds

CALCULADO asumido DATO CALCULADO6.509578 6.5095777 0.023599 0.001 ### 442,865 7.0051 7.00517.396452 7.3964516 0.018279 0.0203782 ### 442,865 7.5147 7.51477.343611 7.3436111 0.018543 0.0177082 ### 442,865 7.5005 7.50057.346671 7.3466709 0.0185276 0.0177754 ### 442,865 7.5009 7.50097.346493 7.3464934 0.0185285 0.0177735 ### 442,865 7.5009 7.5009






CALCULADO asumido DATO CALCULADO6.295599 6.2955992 0.0252305 0.001 ### 402,030 6.7956 6.79567.132348 7.1323483 0.0196578 0.0216544 ### 402,030 7.2212 7.2212

7.08705 7.0870499 0.0199099 0.019177 ### 402,030 7.2118 7.21187.089443 7.0894426 0.0198965 0.0192268 ### 402,030 7.212 7.2127.089316 7.0893161 0.0198972 0.0192257 ### 402,030 7.212 7.212






CALCULADO asumido DATO CALCULADO6.32813 6.3281304 0.0249718 0.001 ### 411,058 6.8051 6.8051

7.147414 7.1474137 0.019575 0.0215942 ### 411,058 7.2243 7.22437.104377 7.104377 0.0198129 0.0191605 ### 411,058 7.2153 7.21537.106585 7.1065854 0.0198006 0.0192086 ### 411,058 7.2154 7.21547.106472 7.106472 0.0198012 0.0192076 ### 411,058 7.2154 7.2154










7.0798 7.0798001 0.0199507 0.0243873 ### 221,626 6.9299 6.92997.053088 7.053088 0.0201021 0.0208229 ### 221,626 6.915 6.9157.054133 7.0541327 0.0200961 0.0209132 ### 221,626 6.9154 6.9154

7.054092 7.0540919 0.0200964 0.0209106 ### 221,626 6.9154 6.9154







7.0786 7.0786001 0.0199575 0.0244186 ### 219,800 6.9285 6.92857.051719 7.0517191 0.0201099 0.0208314 ### 219,800 6.9134 6.91347.052774 7.0527742 0.0201039 0.0209228 ### 219,800 6.9138 6.91387.052733 7.0527328 0.0201041 0.0209202 ### 219,800 6.9138 6.9138




7.144211 7.1442112 0.0195926 0.0216072 ### 409,083 7.2236 7.22367.100696 7.1006955 0.0198334 0.0191641 ### 409,083 7.2145 7.21457.102943 7.1029425 0.0198209 0.0192126 ### 409,083 7.2147 7.21477.102826 7.1028263 0.0198215 0.0192115 ### 409,083 7.2147 7.2147


Denomin denomina G(f) f Número deDenomindenomin

1/f dato Ks/d RreynoldsCALCULADO asumido DATO CALCULADO

6.404327 6.4043266 0.0243811 0.001 ### 220,176 6.4003 6.40037.078809 7.0788086 0.0199563 0.0244121 ### 220,176 6.9288 6.92887.051957 7.051957 0.0201085 0.0208296 ### 220,176 6.9137 6.9137

7.05301 7.0530103 0.0201025 0.0209208 ### 220,176 6.9141 6.91417.052969 7.0529689 0.0201028 0.0209182 ### 220,176 6.9141 6.9141




Tubería (4-5) Tubería (2-5)Caudal -0.033718 Longitud= 500 Caudal

Diámetro 0.2 Viscosida= 1.15E-006 DiámetrVelocidad 1.07328681 Ks 0.000150 Velocida


CALCULADO asumido DATO CALCULADO6.404171 6.4041713 0.0243823 0.001 ### 220,084 6.4001 6.40017.078746 7.0787465 0.0199566 0.0244137 ### 220,084 6.9288 6.92887.051886 7.0518861 0.020109 0.02083 ### 220,084 6.9136 6.9136

7.05294 7.0529399 0.0201029 0.0209213 ### 220,084 6.9141 6.91417.052899 7.0528986 0.0201032 0.0209187 ### 220,084 6.914 6.914




-0.080.2

2.5464731G(f)1/f

0.0203780.0177080.0177750.0177740.017774

-0.010.2

0.3183091G(f)1/f

0.0317880.0215050.0222460.0221780.022185

-0.072620.2

2.3116709G(f)1/f

0.0216540.0191770.0192270.0192260.019226

-0.0340.15

1.9196681G(f)1/f

0.0239450.0207040.0207790.0207770.020777

-0.074250.2

2.3635833G(f)1/f

0.0215940.0191610.0192090.0192080.019208

-0.0290.15

1.6393001G(f)1/f

0.0245240.02086

0.0209550.0209520.020952

-0.073840.2

2.350512G(f)1/f

0.0216090.0191650.0192130.0192120.019212

-0.0300.15

1.6991357G(f)1/f

0.0243870.0208230.0209130.020911

0.020911

-0.073920.2

2.3528978G(f)1/f

0.0216060.0191640.0192120.0192110.019211

-0.0300.15

1.6851295G(f)1/f

0.024419

0.0208310.020923

0.020920.02092

-0.07390.2

2.3522273G(f)1/f

0.0216070.0191640.0192130.0192120.019212

-0.0300.15

1.6880123G(f)

1/f

0.0244120.02083

0.0209210.0209180.020918

-0.07390.15

4.1819321G(f)1/f

0.0218680.0201670.0201880.0201880.020188

-0.030

0.151.6873138

G(f)1/f

0.0244140.02083

0.0209210.0209190.020919

-0.072910.2

2.3208612G(f)1/f

0.0216440.0191740.0192240.0192220.019222

-0.0310.15

1.7433467G(f)1/f

0.0242910.0207970.0208840.0208810.020882

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