Excel Friccion

V(volumen m3) t1(tiempo s) t2(tiempo)0.00903 7 60.00903 8 70.00903 8 60.00903 7 60.00903 8 7

promedio 7.6 6.4

medidas del venturi en cmHg15.314.110.5

5.31.5

PERDIDAS POR FRICCIONPresion(mmHg)= 756T ambiente (°C)= 20

-0.8 -0.6 -0.4 -0.2 0 0.2 0.4

-3.4

-3.3

-3.2

-3.1

-3

-2.9

-2.8

-2.7

-2.6

-2.5

f(x) = 0.4688352613x - 2.967543493R² = 0.9902153974

LogX

LogY

T agua (°C)= 20ρ agua(Kg/m3)= 997.296ρ mercurio (Kg/m3)= 13458.32μ agua(Kg/m-s)= 0.001035g(m/s2)= 9.81

Cv=0.862ΔP^-0.031

CAUDAL(m3/s) ΔP(m) por columna de H2O

0.00147 2.08080

0.00141 1.91760

0.00136 1.42800

0.00095 0.72080

0.00050 0.20400

Cv prom

% desviacion

t3(tiempo) t4(tiempo)5 106 96 95 86 9

5.6 9

Xmedidas de venturi en mH2O

2.08081.91761.42800.72080.2040

Di gargante Veturi(m)= 0.019Area garg venturi(m2)= 0.00028

-0.8 -0.6 -0.4 -0.2 0 0.2 0.4

-3.4

-3.3

-3.2

-3.1

-3

-2.9

-2.8

-2.7

-2.6

-2.5

f(x) = 0.4688352613x - 2.967543493R² = 0.9902153974

LogX

LogY

Cv

0.83520

0.83815

0.84886

0.87425

0.92313

0.86392

12.24%

t5(tiempo) Q1(caudal)7 0.00139 0.00117 0.00118 0.00139 0.00118 0.001193

YQ(caudales promedio)

0.0014720.0014060.0013620.0009470.000501

Di(Tanque elevado)(m)= 0.7639L(tanque elevado)(m)= 1.2

Largo(Tanque descarga)(m)= 0.42Ancho (Tanque descarga)(m)= 0.42Di(Tuberia de 2"cd 40)(m)= 0.0525Di(Tuberia de 1.5"cd 40)(m)= 0.0409Altura(Tanque descarga)(m)= 0.67

Q2(caudal) Q3(caudal) Q4(caudal) Q5(caudal) CAUDALES(L/S)0.001505 0.001806 0.000903 0.00129 1.472

0.00129 0.001505 0.001003333 0.00100 1.4060.001505 0.001505 0.001003333 0.00129 1.3620.001505 0.001806 0.00112875 0.00113 0.947

0.00129 0.001505 0.001003333 0.00100 0.5010.001419 0.0016254 0.00100835 0.0011430833

LogX LogY0.318230339 -2.832092190.282758021 -2.852014680.154728207 -2.86582289-0.14218522 -3.02365002-0.69036983 -3.30016227

piezometro# N.R(cm) q1 q21 137.3 124.5 127.82 139 121 1263 138.2 120 124.54 135.2 75 91.65 134.7 72 906 136.4 61 817 134.7 53.6 75.58 133.6 51.7 73.29 132.2 40.6 65

10 136.1 23.5 5411 135.9 22.8 5312 135.4 19.5 49.5

estacion ∆P,∆H1 ∆P,∆H21 valvula comp, tub 2 1-2 5.2 3.5union un, tub. 2 2-3 0.2 0.7medidor ventu, tub. 2 3-4 42 29.9codo 90 radio largo, tub 2 4-5 2.5 1.12codo 90 radio corto, tub 2 5-6 12.7 10.7codo 90 radio corto, tub 2, u6-7 5.7 3.8tub 2 7-8 0.8 1.2tub2, reducc, tub 1 1\2 8-9 9.7 6.8

tub 1 1\2 mas union 9-10 21 14.9tub1 1\2, expansi, tub 2 10-11 0.5 0.8

tub 2 11-12 2.8 3suma de ∆P,∆H 103.1 76.4

caidas de presion Corrida Q1Area(m2) Q(m3/S)

tubo 2" 0.002026 0.00147tubo 1.5" 0.001140 0.00147

q3 q4 q5127.8 132.2 134.9

127 132 136.2124.9 131.5 136

94.3 113.4 127.592.7 112.1 129.384.4 108.9 126.679.2 105.3 124.676.8 104 123.468.6 99.6 121.6

59 95.5 122.558.5 94.8 122.8

54 92.5 120.3

∆P,∆H3 ∆P,∆H4 ∆P,∆H5

2.5 1.9 0.41.3 0.3 0.6

27.6 15.1 5.51.1 0.8 2.310 4.9 4.43.5 1.9 0.31.3 0.2 0.16.8 3 0.4

13.5 8 30.3 0.5 0.5

4 1.8 276.4 38.4 19.5

velocidad(m/s) Re(reynolds) f(Moody)

0.72655 37,549.34 0.029001.29123 50,049.32 0.03050

∆H1 ∆H2 ∆H312.8 9.5 9.5

18 13 1218.2 13.7 13.360.2 43.6 40.962.7 44.7 4275.4 55.4 5281.1 59.2 55.581.9 60.4 56.891.6 67.2 63.6

112.6 82.1 77.1113.1 82.9 77.4115.9 85.9 81.4

L cm(solo tubo) Hf(TUBO RECTO)

308 4.5822158 2.3506687 10.2206227 3.3771178 2.6481203 3.0201157 2.335781 1.205080 5.4480453 28.742981 5.139580 1.2296309 4.5970

tuberia 2"tuberia 1.5"

D cte=Hf/l

0.05250 0.014880.04089 0.06345

∆H4 ∆H55.1 2.4

7 2.86.7 2.2

21.8 7.722.6 5.427.5 9.829.4 10.129.6 10.232.6 10.640.6 13.641.1 13.142.9 15.1

L eq (accesorio) Hf(ACCESORIO), cm(Leq) K

0.400 0.59510.102 0.1517

23.11771.100 1.63653.400 5.05821.802 2.6809

0.18

0.102 0.64720.18

2.08081.91761.42800.72080.2040

Hf(ACCESORIO) con K Hf total L Hf total K

5.17722.5023

33.33835.01367.70645.70092.3357

0.4848 1.6898

29.39010.2928 5.4323

4.5970

95.76 7.12total 102.88

% DE ERROR EXPERIMENTAL -0.21

estacion1 valvula comp, tub 2 1-2union un, tub. 2 2-3medidor ventu, tub. 2 3-4codo 90 radio largo, tub 2 4-52codo 90 radio corto, tub 2 5-6codo 90 radio corto, tub 2, uni. 6-7tub 2 7-8tub2, reducc, tub 1 1\2 8-9

tub 1 1\2 mas unive 9-10tub1 1\2, expansi, tub 2 10-11

tub 2 11-12suma de ∆P,∆H

caidas de presion Corrida Q2Area

tubo 2" 0.002026tubo 1.5" 0.001140

∆P,∆H2 L cm(tubo) Hf(TUBO RECL eq (accesor3.5 308 4.2381 0.4000.7 158 2.1741 0.102

29.9 687 9.45321.1 227 3.1236 1.100

10.7 178 2.4493 3.4003.8 203 2.7933 1.8021.2 157 2.16036.8 81 1.1146

80 5.019214.9 453 26.4811 0.1020.8 81 4.7350

80 1.13763 309 4.2519

76.4 tuberia 2"tuberia 1.5"

Q(caudal) velocidad Re(reynolds) f(Moody) D cte=Hf/l

0.001406 0.69398 35,865.74 0.02940 0.05250 0.013760.001406 1.23333 47,805.26 0.03080 0.04089 0.05846

Hf(ACCESORIO)con K Hf(ACCESORIHf total L Hf total K0.5504 4.78850.1404 2.3145

21.3066 30.75991.5136 4.63724.6785 7.12782.4796 5.2729

2.16030.20 0.4914 1.6060

0.5963 27.07740.15 0.2226 4.9577

4.2519

total 88.39 6.56total 94.954

% DE ERROR 24.29

1.9176

estacion1 valvula comp, tub 2 1-2union un, tub. 2 2-3medidor ventu, tub. 2 3-4codo 90 radio largo, tub 2 4-5codo 90 radio corto, tub 2 5-6codo 90 radio corto, tub 2, uni. Uni 6-7tub 2 7-8tub2, reducc, tub 1 1\2 8-9

tub 1 1\2 mas unive 9-10tub1 1\2, expansi, tub 2 10-11

tub 2 11-12suma de ∆P,∆H

caidas de presion Corrida Q3Area Q(caudal)

tubo 2" 0.002026 0.001362tubo 1.5" 0.001140 0.001362

∆P,∆H3 L cm(tubo) Hf(TUBO RECTL eq (accesor

2.5 308 3.9905 0.4001.3 158 2.0471 0.102

27.6 687 8.90101.1 227 2.9411 1.10010 178 2.3062 3.4003.5 203 2.6301 1.8021.3 157 2.03416.8 81 1.0495

80 4.740813.5 453 25.0110 0.1020.3 81 4.4722

80 1.07124 309 4.0035

76.4 tuberia 2"tuberia 1.5"

velocidad Re(reynolds) f(Moody) D cte=Hf/l

0.67226 34,743.34 0.02950 0.05250 0.012961.19474 46,309.22 0.03100 0.04089 0.05521

Hf(ACCESORIO)con Leq K Hf(ACCESORIHf total L Hf total K

0.5183 4.50880.1322 2.1793

15.8667 24.76761.4252 4.36634.4052 6.71142.3347 4.9649

2.03410.20 0.4612 6.2514

0.5632 25.57420.15 0.2089 5.7523

4.0035

total 79.11 12.00total 91.11375574

% DE ERROR 19.26

1.4280

estacion ∆P,∆H4 L cm(tubo)1 valvula comp, tub 2 1-2 1.9 308union un, tub. 2 2-3 0.3 158medidor ventu, tub. 2 3-4 15.1 687codo 90 radio largo, tub 2 4-5 0.8 227codo 90 radio corto, tub 2 5-6 4.9 178codo 90 radio corto, tub 2, uni. Univ 6-7 1.9 203tub 2 7-8 0.2 157tub2, reducc, tub 1 1\2 8-9 3 81

80tub 1 1\2 mas unive 9-10 8 453tub1 1\2, expansi, tub 2 10-11 0.5 81

80tub 2 11-12 1.8 309

38.4

caidas de presion Corrida Q4Area Q(caudal)

tubo 2" 0.002026 0.000947tubo 1.5" 0.001140 0.000947

Hf(TUBO RECL eq (accesorHf(ACCESORIO)con Leq K1.9619 0.400 0.25481.0064 0.102 0.06504.3761 8.00891.4459 1.100 2.16571.1338 3.400 1.14781.2931 1.802 1.14781.00010.5160 0.202.3512

12.4034 0.102 0.27932.2178 0.150.52641.9683

velocidad Re(reynolds) f(Moody) D0.46742 24,157.08 0.03000 0.052500.83070 32,198.85 0.03180 0.04089

Hf(ACCESORIO) con K Hf total L Hf total K2.21671.0714

12.3849 0.72083.61172.28172.44091.0001

0.2229 3.0901

12.68270.1010 2.8452

1.9683total 39.66 5.94

total 45.59370987% DE ERROR EXPERIME 18.73

cte=Hf/l0.006370.02738

1 valvula comp, tub 2union un, tub. 2medidor ventu, tub. 2codo 90 radio largo, tub 2codo 90 radio corto, tub 2codo 90 radio corto, tub 2, unitub 2tub2, reducc, tub 1 1\2

tub 1 1\2 mas univetub1 1\2, expansi, tub 2

tub 2

estacion ∆P,∆H5 L cm(tubo) Hf(TUBO RECL eq (accesorHf(ACCESORIO1-2 0.4 308 0.0622 0.400 0.00812-3 0.6 158 0.0319 0.102 0.00213-4 5.5 687 0.1388 2.26674-5 2.3 227 0.0459 1.100 0.06875-6 4.4 178 0.0360 3.400 0.03646-7 0.3 203 0.0410 1.802 0.03647-8 0.1 157 0.03178-9 0.4 81 0.0164

80 0.70329-10 3 453 3.7117 0.102 0.083610-11 0.5 81 0.6637

80 0.016811-12 2 309 0.0624

19.5

caidas de pr Corrida Q5Area Q(caudal) velocidad Re(reynolds) f(Moody)

tubo 2" 0.002026 0.000501 0.24729 12,780.04 0.00340tubo 1.5" 0.001140 0.000501 0.43947 17,034.45 0.03400

K Hf(ACCESORIHf total L Hf total K0.07030.03402.4055 0.20400.11460.07240.07740.0317

0.20 0.0624 0.7820

3.79520.15 0.0283 0.7087

0.0624total 6.66 1.49

total 8.154% DE ERROR -58.18

D cte=Hf/l0.05250 0.000200.04089 0.00819

CAIDAS DE PRESION#Piezómetro Long. Tubería (m) Corrida 1

1 0 124.52 3.08 1213 4.66 1204 11.53 755 13.8 726 15.58 617 17.61 53.68 19.18 51.79 20.79 40.6

10 25.32 23.511 26.93 22.812 30.02 19.5

0 5 10 15 20 25 300

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CAIDAS DE PRESION experimentalesCorrida 2 Corrida 3 Corrida 4 Corrida 5

127.8 127.8 132.2 134.9126 127 132 136.2

124.5 124.9 131.5 13691.6 94.3 113.4 127.5

90 92.7 112.1 129.381 84.4 108.9 126.6

75.5 79.2 105.3 124.673.2 76.8 104 123.4

65 68.6 99.6 121.654 59 95.5 122.553 58.5 94.8 122.8

49.5 54 92.5 120.3

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Q mH2O

0.001264 23.150.001437 92.250.001693 99.25

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Corridas Caudales Hf totales hf teoricos1 0.001149 109.200 44.3532 0.001264 23.150 53.1933 0.001437 92.2504 0.001693 99.2505 0.000988 29.700

33.234 0.000988 29.70044.353 0.001149 109.253.193 0.001264 23.15067.951 0.001437 92.25093.330 0.001693 99.250

-3.00533098 1.472756449-2.84254323 1.964966375-2.77134304 1.996730515