Calculos Reporte 4

DATOS EXPERIMENTALES

Vuelta CorridaCaída de Presión

(mmHg)t(s) V (L)

5 1 35 10.55 10.45 2 35 10.96 10.45 3 35 10.45 10.44 1 40 10.74 10.44 2 50 9.89 10.44 3 55 10.42 10.43 1 50 10.11 10.43 2 55 10.23 10.43 3 50 9.52 10.42 1 60 9.99 10.42 2 55 9.9 10.42 3 60 10.18 10.41 1 55 10.53 10.41 2 45 10.32 10.41 3 55 10.5 10.4

Tabla 1 Datos experimentales Expansión


(mmHg)t(s) V (L)

5 1 10 10.54 10.45 2 25 10.49 10.45 3 25 10.21 10.44 1 40 11.82 10.44 2 15 11.31 10.44 3 25 10.25 10.43 1 20 10.71 10.43 2 20 10.68 10.43 3 40 10.17 10.42 1 20 10.84 10.42 2 35 10.58 10.42 3 25 9.35 10.41 1 15 11.11 10.41 2 35 10.85 10.41 3 75 11.05 10.4

Tabla 2. Datos experimentales Reducción


(mmHg)t(s) V (L)

5 1 50 9.48 10.45 2 40 9.49 10.45 3 35 9.33 10.44 1 60 9.79 10.44 2 35 11.17 10.44 3 40 9.33 10.43 1 50 9.69 10.43 2 45 9.5 10.43 3 40 9.18 10.42 1 25 9.68 10.42 2 45 9.53 10.42 3 10 9.23 10.41 1 10 9.43 10.41 2 45 9.11 10.41 3 25 9.17 10.4

Tabla 3. Datos experimentales T Lineal


(mmHg)t(s) V (L)

5 1 25 9.39 10.45 2 25 9.13 10.45 3 60 9.98 10.44 1 105 9.47 10.44 2 60 9.16 10.44 3 50 9.97 10.43 1 35 9.42 10.43 2 45 10.08 10.43 3 25 9.44 10.42 1 25 10.47 10.42 2 30 10.65 10.42 3 25 11.39 10.41 1 5 20.42 10.41 2 5 20.4 10.41 3 5 20.37 10.4

Tabla 4. Datos experimentales T Lateral

CÁLCULOS:

1.- Calcular el flujo volumétrico.

Q=Vt∗60


(mmHg)t (s) V (L)

5 1 20 9.63 10.45 2 50 8.93 10.45 3 40 9.28 10.44 1 10 9.57 10.44 2 15 9.13 10.44 3 30 9.38 10.43 1 20 9.85 10.43 2 30 9.45 10.43 3 30 9.62 10.42 1 25 10.39 10.42 2 25 9.66 10.42 3 10 10.49 10.41 1 5 21.05 10.41 2 5 21.04 10.41 3 10 21.18 10.4

Tabla 5. Datos experimentales Y Lineal


(mmHg)t (s) V (L)

5 1 130 9.62 10.45 2 30 9.5 10.45 3 80 9.22 10.44 1 40 9.3 10.44 2 25 9.47 10.44 3 25 9.52 10.43 1 25 9.4 10.43 2 5 10.46 10.43 3 25 9.4 10.42 1 20 10.32 10.42 2 20 10.4 10.42 3 20 10.41 10.41 1 5 20.18 10.41 2 5 20.2 10.41 3 5 20.18 10.4

Tabla 6. Datos experimentales Y Lateral


(mmHg)t (s) V (L)

5 1 90 10.1 10.45 2 45 10.27 10.45 3 45 9.63 10.44 1 65 10.75 10.44 2 20 9.43 10.44 3 45 10 10.43 1 35 10.01 10.43 2 40 10.23 10.43 3 85 9.62 10.42 1 80 10.46 10.42 2 120 10.39 10.42 3 55 10.59 10.41 1 10 20.28 10.41 2 10 20.95 10.41 3 10 20.62 10.4

Tabla 7. Datos experimentales Codo 45°


(mmHg)t (s) V (L)

5 1 150 12.39 10.45 2 130 12.92 10.45 3 40 12.54 10.44 1 20 12.66 10.44 2 120 12.67 10.44 3 20 12.97 10.43 1 40 12.7 10.43 2 25 13.6 10.43 3 25 13.1 10.42 1 20 13.51 10.42 2 35 13.5 10.42 3 5 13.99 10.41 1 15 20.75 10.41 2 15 20.5 10.41 3 5 20.91 10.4

Tabla 8. Datos experimentales Codo 90°

Dónde:

Q= Flujo volumétrico (L/min)

V=Volumen de agua (L)

t= tiempo (min)

Expansión

Q=Vt∗60= 10.4 L

10.55 s∗60=59.15 L/min

Vuelta Corrida t(s) V (L)Q (L/min)

5 1 10.55 10.4 59.155 2 10.96 10.4 56.935 3 10.45 10.4 59.714 1 10.74 10.4 58.104 2 9.89 10.4 63.094 3 10.42 10.4 59.883 1 10.11 10.4 61.723 2 10.23 10.4 61.003 3 9.52 10.4 65.552 1 9.99 10.4 62.462 2 9.9 10.4 63.032 3 10.18 10.4 61.301 1 10.53 10.4 59.261 2 10.32 10.4 60.471 3 10.5 10.4 59.43

Tabla 9 - Flujo Volumétrico para accesorio Expansión

Reducción

Q=Vt∗60= 10.4 L

10.54 s∗60=59.2L/min


5 1 10.54 10.4 59.205 2 10.49 10.4 59.495 3 10.21 10.4 61.124 1 11.82 10.4 52.79

4 2 11.31 10.4 55.174 3 10.25 10.4 60.883 1 10.71 10.4 58.263 2 10.68 10.4 58.433 3 10.17 10.4 61.362 1 10.84 10.4 57.562 2 10.58 10.4 58.982 3 9.35 10.4 66.741 1 11.11 10.4 56.171 2 10.85 10.4 57.511 3 11.05 10.4 56.47Tabla 10 - Flujo Volumétrico para accesorio Reducción

T lineal

Q=Vt∗60=10.4 L

9.48 s∗60=65.82 L/min

Vuelta Corrida t(s) V (L) Q (L/min)

5 1 9.48 10.4 65.825 2 9.49 10.4 65.755 3 9.33 10.4 66.884 1 9.79 10.4 63.744 2 11.17 10.4 55.864 3 9.33 10.4 66.883 1 9.69 10.4 64.403 2 9.5 10.4 65.683 3 9.18 10.4 67.972 1 9.68 10.4 64.462 2 9.53 10.4 65.482 3 9.23 10.4 67.611 1 9.43 10.4 66.171 2 9.11 10.4 68.501 3 9.17 10.4 68.05

Tabla 11 – Flujo Volumétrico para accesorio T lineal

T lateral

Q=Vt∗60=10.4 L

9.39 s∗60=66.45 L/min


5 1 9.39 10.4 66.455 2 9.13 10.4 68.355 3 9.98 10.4 62.534 1 9.47 10.4 65.894 2 9.16 10.4 68.124 3 9.97 10.4 62.593 1 9.42 10.4 66.243 2 10.08 10.4 61.903 3 9.44 10.4 66.102 1 10.47 10.4 59.602 2 10.65 10.4 58.592 3 11.39 10.4 54.781 1 20.42 10.4 30.561 2 20.4 10.4 30.591 3 20.37 10.4 30.63

Tabla 12 - Flujo Volumétrico para accesorio T lateral

Y lineal

Q=Vt∗60=10.4 L

9.63 s∗60=64.8 L/min

Vuelta Corrida t (s) V (L) Q (L/min)5 1 9.63 10.4 64.805 2 8.93 10.4 69.885 3 9.28 10.4 67.244 1 9.57 10.4 65.204 2 9.13 10.4 68.354 3 9.38 10.4 66.523 1 9.85 10.4 63.353 2 9.45 10.4 66.033 3 9.62 10.4 64.862 1 10.39 10.4 60.062 2 9.66 10.4 64.602 3 10.49 10.4 59.491 1 21.05 10.4 29.641 2 21.04 10.4 29.661 3 21.18 10.4 29.46

Tabla 13 – Flujo Volumétrico para accesorio Y lineal

Y lateral

Q=Vt∗60=10.4 L

9.62 s∗60=64.86 L /min


Tabla 14 – Flujo Volumétrico para accesorio Y lateral

Codo 45°

Q=Vt∗60=10.4 L

10.1 s∗60=61.78 L/min

Vuelta Corrida t (s) V (L) Q (L/min)5 1 10.1 10.4 61.785 2 10.27 10.4 60.765 3 9.63 10.4 64.804 1 10.75 10.4 58.054 2 9.43 10.4 66.174 3 10 10.4 62.403 1 10.01 10.4 62.343 2 10.23 10.4 61.00

3 3 9.62 10.4 64.862 1 10.46 10.4 59.662 2 10.39 10.4 60.062 3 10.59 10.4 58.921 1 20.28 10.4 30.771 2 20.95 10.4 29.791 3 20.62 10.4 30.26

Tabla 15 - Flujo Volumétrico para accesorio Codo 45°

Codo 90°

Q=Vt∗60= 10.4 L

12.39 s∗60=50.36 L/min


Tabla 16 - Flujo Volumétrico para accesorio Codo 90°

2.-Calcular la velocidad.

v=21.22 Qd2

Dónde:

v= velocidad media de flujo (m/s)Q= flujo volumétrico (L/min)d=diámetro interno de la tubería (mm)

Expansión

v=21.22 Qd2

=21.22 59.149362

=0.9684m /s

Vuelta Corrida Q (L/min) d1 (mm) d2 (mm) V1 (m/s) V2 (m/s)

5 1 59.1469194 36 42 0.96843953 0.711506595 2 56.9343066 36 42 0.93221141 0.684890015 3 59.7129187 36 42 0.97770689 0.718315274 1 58.1005587 36 42 0.95130699 0.698919424 2 63.0940344 36 42 1.03306745 0.758988334 3 59.8848369 36 42 0.98052179 0.720383353 1 61.7210682 36 42 1.01058724 0.742472263 2 60.9970674 36 42 0.99873285 0.733762913 3 65.5462185 36 42 1.07321818 0.788486822 1 62.4624625 36 42 1.02272643 0.751390852 2 63.030303 36 42 1.03202394 0.758221672 3 61.2966601 36 42 1.00363822 0.737366851 1 59.2592593 36 42 0.97027892 0.712857981 2 60.4651163 36 42 0.99002297 0.727363811 3 59.4285714 36 42 0.97305115 0.71489472

Tabla 17. Velocidad en Expansión

Reducción

v=21.22 Qd2

=21.22 59.203362

=0.9693m /s

Vuelta Corrida Q (L/min) d1 (mm) d2 (mm) V1 (m/s) V2 (m/s)

5 1 59.2030361 36 42 0.96935835 0.712181655 2 59.485224 36 42 0.97397875 0.715576225 3 61.1165524 36 42 1.00068923 0.735200254 1 52.7918782 36 42 0.86438554 0.635058764 2 55.1724138 36 42 0.90336313 0.663695364 3 60.8780488 36 42 0.9967841 0.732331183 1 58.2633053 36 42 0.95397171 0.700877183 2 58.4269663 36 42 0.95665141 0.702845933 3 61.3569322 36 42 1.00462508 0.73809189

2 1 57.5645756 36 42 0.94253109 0.692471822 2 58.979206 36 42 0.96569348 0.709489092 3 66.7379679 36 42 1.09273123 0.802822951 1 56.1656166 36 42 0.9196253 0.675643071 2 57.5115207 36 42 0.9416624 0.69183361 3 56.4705882 36 42 0.92461874 0.67931172

Tabla 18. Velocidad en Reducción

T Lineal

v=21.22 Qd2

=21.22 65.822362

=1.077m/ s

Vuelta Corrida Q (L/min) d (mm) V (m/s)

5 1 65.8227848 36 1.077746525 2 65.7534247 36 1.076610865 3 66.8810289 36 1.095073644 1 63.7385087 36 1.043619724 2 55.8639212 36 0.91468554 3 66.8810289 36 1.095073643 1 64.3962848 36 1.054389793 2 65.6842105 36 1.075477583 3 67.9738562 36 1.1129672 1 64.4628099 36 1.055479032 2 65.4774397 36 1.072092032 3 67.6056338 36 1.106937921 1 66.1717922 36 1.083460981 2 68.4961581 36 1.121518881 3 68.0479826 36 1.1141807

Tabla 19. Velocidad en T Lineal

T Lateral

v=21.22 Qd2

=21.22 66.453362

=1.088m /s


5 1 66.4536741 36 1.088076365 2 68.3461117 36 1.119062115 3 62.5250501 36 1.023751214 1 65.8922914 36 1.07888459

4 2 68.1222707 36 1.115397064 3 62.5877633 36 1.024778043 1 66.2420382 36 1.084611153 2 61.9047619 36 1.013594943 3 66.1016949 36 1.082313252 1 59.5988539 36 0.975839262 2 58.5915493 36 0.95934622 3 54.784899 36 0.897018181 1 30.5582762 36 0.500344611 2 30.5882353 36 0.500835151 3 30.6332842 36 0.50157276

Tabla 20. Velocidad en T Lateral

Y Lineal

v=21.22 Qd2

=21.22 64.835.32

=1.1034m /s


5 1 64.80 35.3 1.10345415 2 69.88 35.3 1.189951065 3 67.24 35.3 1.145071444 1 65.20 35.3 1.11037234 2 68.35 35.3 1.163884224 3 66.52 35.3 1.132863853 1 63.35 35.3 1.078808423 2 66.03 35.3 1.124472273 3 64.86 35.3 1.104601142 1 60.06 35.3 1.022739462 2 64.60 35.3 1.100027222 3 59.49 35.3 1.01298981 1 29.64 35.3 0.504810591 2 29.66 35.3 0.505050521 3 29.46 35.3 0.50171213

Tabla 21. Velocidad Y Lineal

Y Lateral

v=21.22 Qd2

=21.22 64.86432

=0.744m / s

5 1 64.86 43 0.744419925 2 65.68 43 0.753823125 3 67.68 43 0.77671584 1 67.10 43 0.770034374 2 65.89 43 0.756211154 3 65.55 43 0.752239463 1 66.38 43 0.761842513 2 59.66 43 0.684638593 3 66.38 43 0.761842512 1 60.47 43 0.693926322 2 60.00 43 0.688588432 3 59.94 43 0.687926961 1 30.92 43 0.354872131 2 30.89 43 0.354520771 3 30.92 43 0.35487213

Tabla 22. Velocidad Y Lateral

Codo 45

v=21.22 Qd2

=21.22 61.78432

=0.7090m /s


5 1 61.78 43 0.709041555 2 60.76 43 0.697304745 3 64.80 43 0.74364694 1 58.05 43 0.666169274 2 66.17 43 0.759418844 3 62.40 43 0.716131963 1 62.34 43 0.715416553 2 61.00 43 0.700031243 3 64.86 43 0.744419922 1 59.66 43 0.684638592 2 60.06 43 0.689251172 3 58.92 43 0.676234151 1 30.77 43 0.353122271 2 29.79 43 0.34182911 3 30.26 43 0.34729969

Tabla 23. Velocidad Codo 45°

Codo 90

v=21.22 Qd2

=21.22 50.3635.32

=0.8576m /s


5 1 50.36 35.3 0.857648345 2 48.30 35.3 0.822466175 3 49.76 35.3 0.847389394 1 49.29 35.3 0.839357264 2 49.25 35.3 0.838694794 3 48.11 35.3 0.819295523 1 49.13 35.3 0.836713623 2 45.88 35.3 0.781342863 3 47.63 35.3 0.811165112 1 46.19 35.3 0.786547962 2 46.22 35.3 0.787130592 3 44.60 35.3 0.759561331 1 30.07 35.3 0.512109061 2 30.44 35.3 0.518354291 3 29.84 35.3 0.50819048

Tabla 24. Velocidad Codo 90°

4. Calcular el factor de fricción de los accesorios.

Los factores de fricción fueron obtenidos con un promedio del Reynolds para cada accesorio de la página A-43 del libro Flujo de Fluidos (CRANE):

Accesorio Re1 ( Promedio) Re2 ( Promedio) f1 f2Expansión 32208.64794 27607.41252 0.0225 0.0227Reducción 31114.27018 26669.37444 0.0226 0.0228

T Lineal 34760.24468 - 0.0223 -T Lateral 30152.9364 - 0.02256 -T Lineal 31332.42 - 0.02261 -Y Lateral 25520.12 - 0.0292 -Codo 45 24611.08 - 0.0298 -Codo 90 23976.39 - 0.029992 -

Calculos Reporte 4

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