Libro21
10
ACERO GALVANIZADO PVC 6" PVC 8" ACERO GALVANIZADO 6" ACERO GALVANIZADO 8" Diametro de la Tuberia 0.1541 m 0.1541 m 0.2027 m 0.1541 m 0.2027 m Area de la tuberia 0.01864 m2 0.01864 m2 0.03226 m2 0.01864 m2 0.03226 m2 Velocidad del Aire 23.117 m/s 20.386 m/s 17.080 m/s 19.313 m/s 17.049 m/s Caudal del Aire 0.431 m3/s 0.380 m3/s 0.551 m3/s 0.360 m3/s 0.550 m3/s Peso del Aire 0.517 kg/s 0.456 kg/s 0.661 kg/s 0.432 kg/s 0.660 kg/s Peso del Solido 0.0925 kg/s 0.0925 kg/s 0.0925 kg/s 0.0925 kg/s 0.0925 kg/s Rugosidad Relativa 0.001 0.00001 0.00001 0.001 0.001 Friccion del aire 0.0207 0.0155 0.0152 0.0157 0.0152 N 5 codos R/D=4, K= 0.75 7 codos R/D=6, K= 0.5 7 codos R/D=6, K= 0.5 7 codos R/D=6, K= 0.5 7 codos R/D=6 0.5 Diametro de la Particula 0.0020 m 0.0020 m 0.0020 m 0.0020 m 0.0020 m Peso Especifico de materia 570 kg/m3 570 kg/m3 570 kg/m3 570 kg/m3 570 kg/m3 Concentracion 0.17889136 0.20285088 0.13989716 0.21412037 0.14015152 Velocidad de la particula 17.681 m/s 15.593 m/s 13.064 m/s 14.772 m/s 13.040 m/s Perdida por Aceleracion 41.6277914 mm H2O 33.3065241 mm H2O 21.6608806 mm H2O 30.2861223 mm H2O 21.5892454 mm H2O Re 2.36E+05 2.08E+05 2.29E+05 1.97E+05 2.29E+05 Friccion del Aire 0.0207 0.0155 0.0152 0.0157 0.0152 Coeficiente de Arrastre 0.5 0.5 0.5 0.5 0.5 Velocidad final Particula 4.980 4.980 4.980 4.980 4.980 Numero de Froude Particula 1264 1264 1264 1264 1264 Numero de Froude Aire 353.49 274.92 146.71 246.74 146.18 Friccion Particula 0.00814 0.00973 0.01918 0.01051 0.01923 Longitud Horizontal 8m 36 m 36 m 36 m 36 m Perdida Horizontal 37.593 mm H2O 103.762 mm H2O 56.672 mm H2O 95.663 mm H2O 56.503 mm H2O Coeficiente de Perdidas 0.0214 0.0160 0.0155 0.0162 0.0155 Perdida Horizontal 36.249 mm H2O 94.936 mm H2O 49.193 mm H2O 86.473 mm H2O 49.017 mm H2O Longitud Vertical 6m 6m 6m 6m 6m Perdida en el Tramo Vertic 1.684 mm H2O 1.910 mm H2O 1.317 mm H2O 2.016 mm H2O 1.319 mm H2O Perdidas en los codos 144.49 mm H2O 107.01 mm H2O 71.19 mm H2O 96.94 mm H2O 70.94 mm H2O Caida de Presion 225.39 mm H2O 245.99 mm H2O 150.83 mm H2O 224.91 mm H2O 150.35 mm H2O Q (m3/s) H (mm H2O) H (mm H2O) H (mm H2O) H (mm H2O) H (mm H2O) 0 0 0 0 0 0 0.1 12.14 17.04 4.97 17.35 4.97 0.2 48.56 68.14 19.87 69.42 19.88 0.3 109.26 153.32 44.71 156.19 44.73 0.36 157.33 220.78 64.39 224.91 64.42 0.38 175.29 245.99 71.74 250.59 71.77 0.4 194.23 272.57 79.49 277.67 79.53 0.431 225.39 316.30 92.24 322.21 92.29 0.5 303.49 425.88 124.20 433.85 124.26 0.551 368.56 517.20 150.83 526.87 150.90 0.6 437.02 613.27 178.85 624.75 178.93 0.7 594.84 834.73 243.44 850.35 243.55 0.8 776.93 1090.27 317.96 1110.67 318.11 = / 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0 200 400 600 800 1000 1200 Curvas del Sistema Actual y Propuestos Curva Actual Curva PVC D=6 Curva PVC D=8 Acero D=6 Acero D=8 Q(m3/s) H (mm H2O) _=_ (1−0.008 ∗ × _ ^3× _ ^0.5) _ = _ ×( _ ^2 )/ 2 ×(1+2 _ / _ ) _ =√((4 ×_ ( _ − _ ))/(3× _ × _ )) 〖 〗 _ =( _ ^2)/( × _ ) 〖 〗 _ =( _ ^2)/( × ) _ =0.082 × 〖 〗 _ ^0.25×(( 〖 〖 _) 〗〗 ^0.1)/( ^0.3× 〖 〗 _ ^0.86 )
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Transcript of Libro21
ACERO GALVANIZADO PVC 6" PVC 8" ACERO GALVANIZADO 6" ACERO GALVANIZADO 8"Diametro de la Tuberia 0.1541 m 0.1541 m 0.2027 m 0.1541 m 0.2027 mArea de la tuberia 0.01864 m2 0.01864 m2 0.03226 m2 0.01864 m2 0.03226 m2Velocidad del Aire 23.117 m/s 20.386 m/s 17.080 m/s 19.313 m/s 17.049 m/sCaudal del Aire 0.431 m3/s 0.380 m3/s 0.551 m3/s 0.360 m3/s 0.550 m3/sPeso del Aire 0.517 kg/s 0.456 kg/s 0.661 kg/s 0.432 kg/s 0.660 kg/sPeso del Solido 0.0925 kg/s 0.0925 kg/s 0.0925 kg/s 0.0925 kg/s 0.0925 kg/sRugosidad Relativa 0.001 0.00001 0.00001 0.001 0.001Friccion del aire 0.0207 0.0155 0.0152 0.0157 0.0152N 5 codos R/D=4, K= 0.75 7 codos R/D=6, K= 0.5 7 codos R/D=6, K= 0.5 7 codos R/D=6, K= 0.5 7 codos R/D=6, 0.5Diametro de la Particula 0.0020 m 0.0020 m 0.0020 m 0.0020 m 0.0020 mPeso Especifico de material 570 kg/m3 570 kg/m3 570 kg/m3 570 kg/m3 570 kg/m3
Concentracion 0.17889136 0.20285088 0.13989716 0.21412037 0.14015152Velocidad de la particula 17.681 m/s 15.593 m/s 13.064 m/s 14.772 m/s 13.040 m/sPerdida por Aceleracion 41.6277914 mm H2O 33.3065241 mm H2O 21.6608806 mm H2O 30.2861223 mm H2O 21.5892454 mm H2ORe 2.36E+05 2.08E+05 2.29E+05 1.97E+05 2.29E+05Friccion del Aire 0.0207 0.0155 0.0152 0.0157 0.0152Coeficiente de Arrastre 0.5 0.5 0.5 0.5 0.5Velocidad final Particula 4.980 4.980 4.980 4.980 4.980Numero de Froude Particula 1264 1264 1264 1264 1264Numero de Froude Aire 353.49 274.92 146.71 246.74 146.18Friccion Particula 0.00814 0.00973 0.01918 0.01051 0.01923Longitud Horizontal 8 m 36 m 36 m 36 m 36 mPerdida Horizontal 37.593 mm H2O 103.762 mm H2O 56.672 mm H2O 95.663 mm H2O 56.503 mm H2OCoeficiente de Perdidas 0.0214 0.0160 0.0155 0.0162 0.0155Perdida Horizontal 36.249 mm H2O 94.936 mm H2O 49.193 mm H2O 86.473 mm H2O 49.017 mm H2OLongitud Vertical 6 m 6 m 6 m 6 m 6 mPerdida en el Tramo Vertical 1.684 mm H2O 1.910 mm H2O 1.317 mm H2O 2.016 mm H2O 1.319 mm H2OPerdidas en los codos 144.49 mm H2O 107.01 mm H2O 71.19 mm H2O 96.94 mm H2O 70.94 mm H2OCaida de Presion 225.39 mm H2O 245.99 mm H2O 150.83 mm H2O 224.91 mm H2O 150.35 mm H2O
Q (m3/s) H (mm H2O) H (mm H2O) H (mm H2O) H (mm H2O) H (mm H2O)0 0 0 0 0 0
0.1 12.14 17.04 4.97 17.35 4.970.2 48.56 68.14 19.87 69.42 19.880.3 109.26 153.32 44.71 156.19 44.73
0.36 157.33 220.78 64.39 224.91 64.420.38 175.29 245.99 71.74 250.59 71.77
0.4 194.23 272.57 79.49 277.67 79.530.431 225.39 316.30 92.24 322.21 92.29
0.5 303.49 425.88 124.20 433.85 124.260.551 368.56 517.20 150.83 526.87 150.90
0.6 437.02 613.27 178.85 624.75 178.930.7 594.84 834.73 243.44 850.35 243.550.8 776.93 1090.27 317.96 1110.67 318.11
𝜇=𝑊𝑠/𝑊𝑎
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80
200
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800
1000
1200
Curvas del Sistema Actual y Propuestos
Curva ActualCurva PVC D=6Curva PVC D=8Acero D=6Acero D=8
Q(m3/s)
H (m
m H
2O)
𝑣_𝑠=𝑣_𝑎∗(1−0.008×𝑑_𝑠^3×𝛾_𝑠^0.5)𝑃_𝑎𝑐=𝛾_𝑎×( _ ^2𝑉 𝑎 )/2𝑔×(1+2𝜇 𝑉_𝑆/𝑉_𝑎 )
𝑉_𝑓=√((4𝑔×𝑑_𝑠 (𝛾_𝑠−𝛾_𝑎))/(3×𝐶_𝑑×𝛾_𝑎 ))〖𝐹𝑟〗 _𝑠=(𝑉_𝑓^2)/(𝑔×𝑑_𝑠 )
〖𝐹𝑟〗 _𝑎=(𝑉_𝑎^2)/(𝑔×𝐷) 𝑓_𝑠=0.082×〖 〗𝐹𝑟 _𝑠^0.25×((〖 ∕〖𝐷 𝑑 _ )𝑠 〗〗 ^0.1)/(𝜇^0.3×〖 〗𝐹𝑟 _𝑎^0.86 )
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80
200
400
600
800
1000
1200
Curvas del Sistema Actual y Propuestos
Curva ActualCurva PVC D=6Curva PVC D=8Acero D=6Acero D=8
Q(m3/s)H
(mm
H2O
)
Q (m3/s) H (mm H2O) H (mm H2O) H (mm H2O) H (mm H2O) H (mm H2O)0 0 0 0 0 0
0.1 12.14 16.87 5.03 19.30 5.520.2 48.56 67.48 20.13 77.18 22.100.3 109.26 151.82 45.29 173.66 49.72
0.376 171.98 238.98 71.29 273.37 78.270.392 186.51 259.17 77.31 296.46 84.88
0.4 194.23 269.90 80.51 308.74 88.400.43 225.39 313.21 93.43 358.27 102.58
0.5 303.49 421.73 125.80 482.40 138.120.5194 327.54 455.15 135.77 520.63 149.070.5284 338.94 470.99 140.50 538.76 154.26
0.6 437.02 607.28 181.15 694.66 198.890.7 594.84 826.58 246.57 945.51 270.720.8 776.93 1079.62 322.05 1234.95 353.59
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80
200
400
600
800
1000
1200
Curvas del Sistema Actual y Propuestos
Curva ActualCurva PVC D=6Curva PVC D=8Acero D=6Acero D=8
Q(m3/s)
H (m
m H
2O)
ACERO GALVANIZADO PVC 6" PVC 8"Diametro de l 0.1541 m 0.1541 m 0.2027Area de la tu 0.01864 m2 0.01864 m2 0.03226Velocidad del 23.117 m/s 21.028 m/s 16.379Caudal del Ai 0.431 m3/s 0.39197 m3/s 0.5284Peso del Aire 0.517 kg/s 0.470 kg/s 0.634Peso del Soli 0.0925 kg/s 0.0925 kg/s 0.0925Rugosidad Rel 0.001 0.00001 0.00001Friccion del a 0.0207 0.0154 0.0153N 5 codos R/D=4,0.75 7 codos R/D=6, 0.5 7Diametro de l 0.0020 m 0.0020 m 0.0020Peso Especifi 570 kg/m3 570 kg/m3 570
Concentracio 0.17889136 0.19665685 0.1458807Velocidad de l 17.681 m/s 16.084 m/s 12.528Perdida por A 41.6277914 mm H2O 35.1813935 mm H2O 20.070598Re 2.36E+05 2.15E+05 2.20E+05Friccion del A 0.0207 0.0154 0.0153Coeficiente d 0.5 0.5 0.5Velocidad fina 4.980 4.980 4.980Numero de Fr 1264 1264 1264Numero de Fr 353.49 292.51 134.92Friccion Parti 0.00814 0.00931 0.02036Longitud Hori 8 m 36 m 36Perdida Horiz 37.593 mm H2O 108.868 mm H2O 53.244Coeficiente d 0.0214 0.0159 0.0156Perdida Horiz 36.249 mm H2O 100.254 mm H2O 45.583Longitud Vert 6 m 6 m 6Perdida en el 1.684 mm H2O 1.851 mm H2O 1.373Perdidas en l 144.49 mm H2O 113.27 mm H2O 65.81Caida de Pres 225.39 mm H2O 259.17 mm H2O 140.50
Q (m3/s) H (mm H2O) H (mm H2O) H (mm H2O)0 0 0 0
0.1 12.14 16.87 5.030.2 48.56 67.48 20.130.3 109.26 151.82 45.290.4 194.23 269.90 80.51
0.43 225.39 313.21 93.430.5 303.49 421.73 125.800.6 437.02 607.28 181.150.7 594.84 826.58 246.570.8 776.93 1079.62 322.05
𝜇=𝑊𝑠/𝑊𝑎
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80
200
400
600
800
1000
1200
Curvas del Sistema Actual y Propuestos
Curva ActualCurva PVC D=6Curva PVC D=8Acero D=6Acero D=8
Q(m3/s)
H (m
m H
2O)
〖𝐹𝑟〗 _𝑠=(𝑉_𝑓^2)/(𝑔×𝑑_𝑠 )〖𝐹𝑟〗 _𝑎=(𝑉_𝑎^2)/(𝑔×𝐷)
0.000 600.00 1686.90033 503.2001310.43089467 225.394998
m -869.365604y = -1167.057 x + 600 y=1703.54 x2 y=496.82 x2
x 0.39199673 0.52849309
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80
200
400
600
800
1000
1200
Curvas del Sistema Actual y Propuestos
Curva ActualCurva PVC D=6Curva PVC D=8Acero D=6Acero D=8
Q(m3/s)
H (m
m H
2O)
ACERO GALVANIZADO 6" ACERO GALVANIZADO 8"m 0.1541 m 0.2027 mm2 0.01864 m2 0.03226 m2m/s 20.193 m/s 16.102 m/sm3/s 0.376 m3/s 0.519 m3/skg/s 0.452 kg/s 0.623 kg/skg/s 0.0925 kg/s 0.0925 kg/s
0.001 0.0010.0209 0.0198
codos R/D=6, 0.5 7 codos R/D=6, 0.5 7 codos R/D=6, 0.5m 0.0020 m 0.0020 mkg/m3 570 kg/m3 570 kg/m3
0.20479554 0.14839844m/s 15.444 m/s 12.315 m/smm H2O 32.7511816 mm H2O 19.4564072 mm H2O
2.06E+05 2.16E+050.0209 0.0198
0.5 0.54.980 4.9801264 1264
269.72 130.380.00986 0.02086
m 36 m 36 mmm H2O 133.529 mm H2O 64.479 mm H2O
0.0217 0.0203mm H2O 126.269 mm H2O 57.204 mm H2Om 6 m 6 mmm H2O 1.928 mm H2O 1.397 mm H2Omm H2O 105.16 mm H2O 63.73 mm H2Omm H2O 273.37 mm H2O 149.07 mm H2O
H (mm H2O) H (mm H2O)0 0
19.30 5.5277.18 22.10
173.66 49.72308.74 88.40358.27 102.58482.40 138.12694.66 198.89945.51 270.72
1234.95 353.59
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80
200
400
600
800
1000
1200
Curvas del Sistema Actual y Propuestos
Curva ActualCurva PVC D=6Curva PVC D=8Acero D=6Acero D=8
Q(m3/s)
H (m
m H
2O)
1929.60757 552.48351
y=1735.42 x2 y=497.04 x2
0.37613717 0.51898735
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80
200
400
600
800
1000
1200
Curvas del Sistema Actual y Propuestos
Curva ActualCurva PVC D=6Curva PVC D=8Acero D=6Acero D=8
Q(m3/s)
H (m
m H
2O)
m (kg) t (s) m/t (kg/s)1 0.5 5 0.12 0.5 5 0.13 0.45 5 0.094 0.4 5 0.08
0.37Flujo masico 0.092500
Velocidad del 16.102 0.0002000027Temperatura 15ºC 7.985724E-05 1.46E-05
Densidad 1.225 kg/m3 0.0002798599Viscosidad Dinamica 1.79E-05 Pa.s -3.553059312
Re 2.23E+05 7.1E+001.4E-01
Rugosidad PVC 0.15 mm 0.019803Diam 202.7 mm
Rugosidad Relativa 0.00074f 0.01978
