Diametro Optimo

Diámetro económico - Fórmulas directas

1 Fórmulas directas

1.1 Datos

f 0.014 (coeficiente de fricción)

η [%] 0.70 (eficiencia)

t [años] 20.00 (vida útil)

r [%] 0.07 (interés del capital)

a 0.09 (factor de amortización)

h [hr/año] 6570.00 (número anual horas de funcionamiento)

p [USD/KWh] 0.15 (precio del KWh)

Q [m3/s] 0.18 (Caudal)

1.1.1 Coeficiente ecónomico c de ajuste

TUBERÍA PE 100 PN 6

D ext [mm] e mín[mm] D int [m] Precio [USD/ml]

280.00 10.70 0.259 47.00315.00 12.10 0.291 60.00355.00 13.60 0.328 76.00400.00 15.30 0.369 96.00500.00 19.10 0.462 153.00560.00 21.40 0.517 191.00630.00 24.10 0.582 243.00710.00 27.20 0.656 308.00


D ext [mm] e mín[mm] D int [m] Precio [USD/ml]

280.00 16.60 0.247 73.00315.00 18.70 0.278 92.00355.00 21.10 0.313 117.00400.00 23.70 0.353 148.00450.00 26.70 0.397 187.00500.00 29.70 0.441 231.00560.00 33.20 0.494 290.00630.00 37.40 0.555 367.00710.00 42.10 0.626 466.00

1.2 Fórmula de Mendiluce

TUBERÍA PE 100 PN 6 Tubería recomendada (PN6)

D int [mm] 456.29 DN (ext) [mm]D int [mm]



1.3 Fórmula de Melzer





1.4 Fórmula de Vibert





1.5 Fórmula de J. Agüera Soriano





Mendiluce Melzer

n 1.00 n

70.50 18.23 0.07 4.7190.00 26.17 0.08 7.61114.00 37.37 0.11 12.25144.00 53.19 0.14 19.65229.50 105.98 0.21 48.94286.50 148.18 0.27 76.64364.50 212.07 0.34 123.38462.00 302.89 0.43 198.57

Σ 904.08 1.64 491.76

c 549.79 c

Mendiluce Melzer

n 1.00 n

109.50 27.02 0.06 6.67138.00 38.31 0.08 10.63175.50 54.90 0.10 17.17222.00 78.28 0.12 27.60280.50 111.25 0.16 44.12346.50 152.67 0.19 67.27435.00 214.72 0.24 105.98550.50 305.64 0.31 169.69699.00 437.43 0.39 273.75

Precio instalada [USD/ml]

xin*yi xi

2n xin*yi

Precio instalada [USD/ml]

xin*yi xi

2n xin*yi

Σ 1420.21 1.66 722.88

c 858.09 c

Tubería recomendada (PN6)

500.00 v [m/s]461.80 1.07


500.00 v [m/s]440.60 1.18


500.00 v [m/s]461.80 1.07


450.00 v [m/s]396.60 1.46


500.00 v [m/s]461.80 1.07


450.00 v [m/s]396.60 1.46


500.00 v [m/s]461.80 1.07


450.00 v [m/s]396.60 1.46

Melzer Vibert

2.00 n 1.50

0.00 9.27 0.020.01 14.11 0.020.01 21.40 0.040.02 32.33 0.050.05 72.02 0.100.07 106.56 0.140.11 161.76 0.200.18 245.25 0.28

0.46 662.70 0.84

1073.39 c 786.06

Melzer Vibert

2.00 n 1.50

0.00 13.43 0.020.01 20.18 0.020.01 30.70 0.030.02 46.48 0.040.02 70.06 0.060.04 101.34 0.090.06 150.85 0.120.10 227.74 0.170.15 346.04 0.25

xi2n xi

n*yi xi2n

xi2n xi

n*yi xi2n

0.40 1006.82 0.80

1785.54 c 1266.02

Análisis tipo VAE(Se calcularán los costos totales anuales)

1 Datos de instalación

1.1 Características geométricas

Longitud [m] 3740

H geom [m] 84

CHW 150.000

pérdidas locales [%] 10.000

1.2 Características hidráulicas

Q [m3/s] 0.180

1.3 Rango de diámetros

v max [m3/s] 3.0

v min [m3/s] 0.5

D min [mm] 276

D max [mm] 677

1.4 Características de la instalación

Vida útil t [años] 20.0

h [hr/año] 6570.00

p [USD/KWh] 0.15

2 Cálculos hidráulicos


DN [mm] 280.0 315.0

D ext [mm] 280.0 315.0

Dint [mm] 258.6 290.8

e [mm] 10.7 12.1

v [m/s] 3.4 2.7

JL [m] 112.9 63.7

JL* [m] 124.2 70.1

3 Costos de inversión

3.1 Costos de tubería

C.U. tubería [USD/ml] 47.0 60.0

Costo tubería [USD] 175780.0 224400.0

% respecto a costo tuberíaColocación [%] 30.0

Obra civil [%] 15.0

Elem. de reg. [%] 5.0

Costo colocación [USD] 52734.0 67320.0

Costo Obra civil [USD] 26367.0 33660.0

Costo Elem. Reg. [USD] 8789.0 11220.0

Costo tubería inst. [USD] 263670.0 336600.0

3.2 Costos de equipos

H elev [m] 208.6 154.5

η [%] 0.7

γ [N/m3] 9810.0

Potencia Hidráulica [kW] 526.1 389.7

Potencia Hidráulica [HP] 705.5 522.6

Potencia Eléctrica [kW] 578.7 428.7

Potencia Eléctrica [HP] 776.0 574.9

Costo de la bomba [USD] 1277.8 1048.8

% respecto a costo de bombaInstalación eléctrica [%] 40.0

Valvulas y otros [%] 10.0

Costo inst. eléctrica [USD] 511.1 419.5

Costo valv. y otros [USD] 127.8 104.9

Costo equipos [USD] 1916.7 1573.2

COSTO INVERSIÓN [USD] 265586.7 338173.2

C. A. INVERSIÓN [USD/año] 25069.5 31921.2(Costo total anual de la Inversión inicial)

4 Costos de operación

% respecto a InversiónMantenimiento [%] 1.0

Costo mant. [USD/año] 2655.9 3381.7

Costo Energía [USD/año] 570308.4 422461.4

C.A. OPERACIÓN [USD/año] 572964.3 425843.2

4 COSTOS ANUALES TOTALES

DN [mm] 280.0 315.0

C.T. ANUAL [USD/año] 598033.8 457764.3

C.T. ANUAL mín [USD/año] 340609.0


DN (ext) [mm] 500.00

D int [mm] 461.80

250.0 300.0 350.0 400.0 450.0 500.0 550.0 600.0 650.0 700.0 750.00.0

100000.0

200000.0

300000.0

400000.0

500000.0

600000.0

700000.0

340609.0

Diámetro económico tubería PN6

C. A. INVERSIÓN [USD/año] C.A. OPERACIÓN [USD/año] C.T. ANUAL [USD/año] 340609.0

Diámetro nominal [mm]

Costo [USD/año]

250.0 300.0 350.0 400.0 450.0 500.0 550.0 600.0 650.0 700.0 750.00.0

100000.0

200000.0

300000.0

400000.0

500000.0

600000.0

700000.0

340609.0




Costo [USD/año]

355.0 400.0 500.0 560.0 630.0 710.0

355.0 400.0 500.0 560.0 630.0 710.0

327.8 369.4 461.8 517.2 581.8 655.6

13.6 15.3 19.1 21.4 24.1 27.2

2.1 1.7 1.1 0.9 0.7 0.5

35.6 19.9 6.7 3.9 2.2 1.2

39.1 21.9 7.4 4.2 2.4 1.3

76.0 96.0 153.0 191.0 243.0 308.0

284240.0 359040.0 572220.0 714340.0 908820.0 1151920.0

85272.0 107712.0 171666.0 214302.0 272646.0 345576.0

42636.0 53856.0 85833.0 107151.0 136323.0 172788.0

14212.0 17952.0 28611.0 35717.0 45441.0 57596.0

426360.0 538560.0 858330.0 1071510.0 1363230.0 1727880.0

123.5 106.2 91.7 88.6 86.8 85.7

311.5 268.0 231.4 223.6 218.9 216.2

417.8 359.4 310.4 299.8 293.5 290.0

342.7 294.8 254.6 245.9 240.8 237.8

459.6 395.3 341.4 329.8 322.9 319.0

905.2 819.8 744.4 727.6 717.6 711.8

362.1 327.9 297.8 291.0 287.0 284.7

90.5 82.0 74.4 72.8 71.8 71.2

1357.7 1229.7 1116.6 1091.4 1076.3 1067.7

427717.7 539789.7 859446.6 1072601.4 1364306.3 1728947.7

40373.5 50952.3 81125.7 101246.0 128780.9 163200.4

4277.2 5397.9 8594.5 10726.0 13643.1 17289.5

337720.5 290519.6 250888.8 242342.4 237279.0 234394.1

341997.7 295917.5 259483.3 253068.4 250922.1 251683.6

355.0 400.0 500.0 560.0 630.0 710.0

382371.2 346869.8 340609.0 354314.4 379703.0 414884.0

250.0 300.0 350.0 400.0 450.0 500.0 550.0 600.0 650.0 700.0 750.00.0

100000.0

200000.0

300000.0

400000.0

500000.0

600000.0

700000.0

340609.0




Costo [USD/año]

250.0 300.0 350.0 400.0 450.0 500.0 550.0 600.0 650.0 700.0 750.00.0

100000.0

200000.0

300000.0

400000.0

500000.0

600000.0

700000.0

340609.0




Costo [USD/año]


DN [mm] 280.0 315.0

D ext [mm] 280.0 315.0

Dint [mm] 246.8 277.6

e [mm] 16.6 18.7

v [m/s] 3.8 3.0

JL [m] 141.7 79.9

JL* [m] 155.9 87.9

C.U. tubería [USD/ml] 73.0 92.0

Costo tubería [USD] 273020.0 344080.0

% respecto a costo tuberíaColocación [%] 30.0

Obra civil [%] 15.0

Elem. de reg. [%] 5.0

Costo colocación [USD] 81906.0 103224.0

Costo Obra civil [USD] 40953.0 51612.0

Costo Elem. Reg. [USD] 13651.0 17204.0

Costo tubería inst. [USD] 409530.0 516120.0

H elev [m] 240.3 172.3

η [%] 0.7

γ [N/m3] 9810.0

Potencia Hidráulica [kW] 606.1 434.6

Potencia Hidráulica [HP] 812.8 582.8

Potencia Eléctrica [kW] 666.7 478.1

Potencia Eléctrica [HP] 894.1 641.1

Costo de la bomba [USD] 1402.5 1126.9

% respecto a costo de bombaInstalación eléctrica [%] 40.0

Valvulas y otros [%] 10.0

Costo inst. eléctrica [USD] 561.0 450.7

Costo valv. y otros [USD] 140.3 112.7

Costo equipos [USD] 2103.8 1690.3

COSTO INVERSIÓN [USD] 411633.8 517810.3

C. A. INVERSIÓN [USD/año] 38855.3 48877.6

% respecto a InversiónMantenimiento [%] 1.0

Costo mant. [USD/año] 4116.3 5178.1

Costo Energía [USD/año] 657052.4 471145.1

C.A. OPERACIÓN [USD/año] 661168.8 476323.2

DN [mm] 280.0 315.0

C.T. ANUAL [USD/año] 700024.1 525200.8

C.T. ANUAL mín [USD/año] 382669.8


DN (ext) [mm] 450.00

D int [mm] 396.60

250.0 300.0 350.0 400.0 450.0 500.0 550.0 600.0 650.0 700.0 750.00.0

100000.0

200000.0

300000.0

400000.0

500000.0

600000.0

700000.0

800000.0

382669.8




Costo [USD/año]

250.0 300.0 350.0 400.0 450.0 500.0 550.0 600.0 650.0 700.0 750.00.0

100000.0

200000.0

300000.0

400000.0

500000.0

600000.0

700000.0

800000.0

382669.8




Costo [USD/año]

355.0 400.0 450.0 500.0 560.0 630.0

355.0 400.0 450.0 500.0 560.0 630.0

312.8 352.6 396.6 440.6 493.6 555.2

21.1 23.7 26.7 29.7 33.2 37.4

2.3 1.8 1.5 1.2 0.9 0.7

44.7 24.9 14.1 8.4 4.8 2.7

49.1 27.4 15.5 9.3 5.3 3.0

117.0 148.0 187.0 231.0 290.0 367.0

437580.0 553520.0 699380.0 863940.0 1084600.0 1372580.0

131274.0 166056.0 209814.0 259182.0 325380.0 411774.0

65637.0 83028.0 104907.0 129591.0 162690.0 205887.0

21879.0 27676.0 34969.0 43197.0 54230.0 68629.0

656370.0 830280.0 1049070.0 1295910.0 1626900.0 2058870.0

133.5 111.8 99.8 93.6 89.7 87.4

336.8 282.0 251.9 236.2 226.3 220.4

451.7 378.2 337.8 316.8 303.5 295.6

370.5 310.2 277.0 259.8 248.9 242.5

496.9 416.0 371.5 348.5 333.8 325.2

952.9 847.8 787.0 754.5 733.4 720.9

381.1 339.1 314.8 301.8 293.4 288.4

95.3 84.8 78.7 75.4 73.3 72.1

1429.3 1271.7 1180.5 1131.7 1100.2 1081.3

657799.3 831551.7 1050250.5 1297041.7 1628000.2 2059951.3

62091.6 78492.6 99136.2 122431.6 153671.7 194444.8

6578.0 8315.5 10502.5 12970.4 16280.0 20599.5

365138.1 305733.0 273031.1 256072.1 245306.7 238953.6

371716.1 314048.5 283533.6 269042.6 261586.7 259553.2

355.0 400.0 450.0 500.0 560.0 630.0

433807.7 392541.1 382669.8 391474.1 415258.4 453998.0

250.0 300.0 350.0 400.0 450.0 500.0 550.0 600.0 650.0 700.0 750.00.0

100000.0

200000.0

300000.0

400000.0

500000.0

600000.0

700000.0

800000.0

382669.8




Costo [USD/año]

250.0 300.0 350.0 400.0 450.0 500.0 550.0 600.0 650.0 700.0 750.00.0

100000.0

200000.0

300000.0

400000.0

500000.0

600000.0

700000.0

800000.0

382669.8




Costo [USD/año]

710.0

710.0

625.8

42.1

0.6

1.5

1.7

466.0

1742840.0

522852.0

261426.0

87142.0

2614260.0

86.1

217.1

291.1

238.8

320.2

713.7

285.5

71.4

1070.5

2615330.5

246868.7

26153.3

235323.9

261477.2

710.0

508345.9

Diámetro económico usado

1 Tubería HDPE recomendada (PN6)

DN (ext) [mm] 500.00

D int [mm] 461.80

e [mm] 19.10

v [m/s] 1.07

2 Tubería Acero recomendada

DN (ext) [mm] 323.90

D int [mm] 311.20

e [mm] 6.35

v [m/s] 2.37

1 Catálogo Vinilit HDPE Duratec


D ext [mm] e mín[mm] D int [mm]280.00 10.70 258.60315.00 12.10 290.80355.00 13.60 327.80400.00 15.30 369.40500.00 19.10 461.80560.00 21.40 517.20630.00 24.10 581.80710.00 27.20 655.60


D ext [mm] e mín[mm] D int [mm]280.00 16.60 246.80315.00 18.70 277.60355.00 21.10 312.80400.00 23.70 352.60450.00 26.70 396.60500.00 29.70 440.60560.00 33.20 493.60630.00 37.40 555.20710.00 42.10 625.80

2 Catálogo CINTAC Cañerias de Acero

Cañerías Acero Carbono ASTM A-53 /GR B

D ext [mm] e mín[mm] D int [mm]219.10 6.35 206.40219.10 8.18 202.74273.10 6.35 260.40273.10 9.27 254.56323.90 6.35 311.20323.90 9.52 304.86

Cañerías Acero ASTM A-53 Grado A Schedule 40/STD

D ext [mm] e mín[mm] D int [mm]168.30 7.11 154.08168.30 5.00 158.30168.30 6.00 156.30

3 Catálogo MultiAceros Cañerias de Acero

Cañerías ASTM

D ext [mm] e mín[mm] D int [mm](ASTM A795) 168.27 3.40 161.47(ASTM A53) 168.27 6.35 155.57(ASTM A53) 168.27 7.11 154.05

peso medio [kg/ml] USD PN [bar] PN [mca]9.18 47.00 6.00 61.1611.69 60.00 6.00 61.1614.78 76.00 6.00 61.1618.74 96.00 6.00 61.1629.22 153.00 6.00 61.1636.63 191.00 6.00 61.1646.41 243.00 6.00 61.1659.09 308.00 6.00 61.16

peso medio [kg/ml] USD PN [bar] PN [mca]13.89 73.00 10.00 101.9417.58 92.00 10.00 101.9422.38 117.00 10.00 101.9428.28 148.00 10.00 101.9435.83 187.00 10.00 101.9444.27 231.00 10.00 101.9455.47 290.00 10.00 101.9470.25 367.00 10.00 101.9489.28 466.00 10.00 101.94

(Tensión adm.) (Espesor adicional)

D ext [mm] (+tol) em [mm] SE [Mpa] A [mm]221.29 5.56 88.20 1.65221.29 7.16 88.20 1.65275.83 5.56 88.20 1.65275.83 8.11 88.20 1.65327.14 5.56 88.20 1.65327.14 8.33 88.20 1.65

D ext [mm] (+tol) em [mm] SE [Mpa] A [mm]169.98 6.22 70.30 1.65169.98 4.38 70.30 1.65169.98 5.25 70.30 1.65

D ext [mm] (+tol) em [mm] SE [Mpa] A [mm]169.95 2.98 70.30 1.65169.95 5.56 70.30 1.65169.95 6.22 70.30 1.65

Tensión máxima [Mpa]

8.00 7.558.00 7.518.00 7.538.00 7.548.00 7.558.00 7.558.00 7.548.00 7.53

Tensión máxima [Mpa]

8.00 7.938.00 7.928.00 7.918.00 7.948.00 7.938.00 7.928.00 7.938.00 7.929.00 7.93

(Coeficiente)

y Presión adm. [Mpa] Presión adm. [mca]0.40 3.16 321.960.40 4.50 458.350.40 2.53 258.170.40 4.23 430.730.40 2.13 217.210.40 3.67 374.38

y Presión adm. [Mpa] Presión adm. [mca]0.40 3.86 393.900.40 2.29 233.440.40 3.04 309.88

Tensión diseño σs [Mpa]

Tensión diseño σs [Mpa]

y Presión adm. [Mpa] Presión adm. [mca]0.40 1.10 112.440.40 3.30 336.870.40 3.88 395.67

v [m/s]5.385.583.383.542.372.47

v [m/s]9.659.159.38

v [m/s]8.799.479.66

Topografía

Ventosas Distancia [m] Cota [msnm]0 318.149 BOMBA20 338.14940 358.149

60 60 378.149

80 382.077 HIDRONEUMATICO100 379.689120 378.876140 378.152160 371.811180 371.854200 371.178220 371.074240 371.565260 371.718280 371.501300 371.783320 372.383340 373.099360 373.021380 373.127400 373.240420 373.216440 373.032

460 460 373.189480 373.116500 373.638520 373.441540 373.479560 372.436580 373.938600 373.740620 373.818640 374.138660 374.399680 374.510700 374.730720 374.710740 374.711760 374.883780 375.157800 375.219820 375.110840 375.110

860 860 375.143880 375.202900 375.222920 375.313940 375.822960 375.838

980 375.6811000 375.8281020 375.9561040 376.0431060 376.0841080 376.2281100 376.3311120 376.3441140 376.7361160 377.1361180 376.7251200 377.2451220 377.2911240 377.288

1260 1260 376.1811280 377.4761300 377.9681320 377.7601340 377.8161360 378.0091380 377.9451400 378.5421420 378.7851440 378.3011460 378.5001480 378.6611500 378.8391520 378.7531540 379.1151560 379.3001580 379.4351600 378.9871620 379.8171640 380.139

1660 1660 380.3991680 380.2801700 380.2921720 380.4061740 380.5211760 380.7901780 380.9081800 381.0201820 380.9771840 380.9401860 380.963

1880 1880 381.0021900 376.4921920 376.942

1940 1940 381.3691960 381.6301980 381.9482000 381.7422020 381.997

2040 382.3352060 382.8132080 382.9642100 383.2362120 382.9052140 383.3702160 383.3202180 382.7712200 382.9322220 383.1672240 383.2382260 383.0332280 383.3932300 383.5392320 383.422

2340 2340 384.7232360 384.9502380 385.0712400 385.0812420 385.1322440 385.1542460 385.3842480 384.8172500 385.5072520 385.2612540 385.4252560 385.7922580 385.8062600 385.4702620 385.5602640 386.0322660 386.5442680 385.9642700 386.5152720 387.059

2740 2740 386.9442760 387.4132780 387.5412800 387.5532820 387.9232840 388.2592860 388.1002880 387.9672900 388.7332920 388.9782940 389.0622960 389.0802980 389.0403000 389.0803020 389.0623040 389.2553060 389.3133080 389.358

3100 389.7763120 389.403

3140 3140 389.8443160 390.1993180 390.3023200 390.7083220 390.7793240 390.6543260 390.5803280 390.5823300 390.8603320 391.2653340 391.4463360 391.5183380 391.8613400 392.1623420 391.3993440 392.2403460 392.2183480 392.1733500 392.4673520 392.548

3540 3540 392.7473560 392.4303580 392.5323600 392.9053620 392.2363640 391.7903660 392.775

3680 3680 401.3433700 401.0253720 400.7543740 400.5303760 400.8313780 401.2643800 401.745

3820 402.527 SENTINA

0.0 500.0 1000.0 1500.0 2000.0 2500.0 3000.0 3500.0300.0

320.0

340.0

360.0

380.0

400.0

Topografía

318.149

382.077

Distancia [m]

Cota [m.s.n.m.]

0.0 500.0 1000.0 1500.0 2000.0 2500.0 3000.0 3500.0300.0

320.0

340.0

360.0

380.0

400.0

Topografía

318.149

382.077

Distancia [m]

Cota [m.s.n.m.]

0.0 500.0 1000.0 1500.0 2000.0 2500.0 3000.0 3500.0300.0

320.0

340.0

360.0

380.0

400.0

Topografía

318.149

382.077

Distancia [m]

Cota [m.s.n.m.]

Documents

Diametro Optimo