FORMULA DE HAZEN WILLIAMS

Nmero de aspersores (n): n 10Caudal del aspersor (q) q 1.5Presion de trabajo (Pa): Pa 30 mca.Separacin entre aspersores (l): l 12 mDistancia al primer aspersor (lo): lo 6 mRelacin de distancias lo/l (X) : X 0.5Longitud del ramal (L) : L 114 mPendiente (S) S -3.51 %Desnivel topogrfico (Hg): Hg -4.00 mAltura tubo porta aspersor (Ha): Ha 2 mFacto de perdidas en menores (a) : a 1.10

10 m

Dimetro nominal tubera (Dn): Dn 1-3/4" PulgadasDimetrointerior tubera (Di) Di 42.6 mmCoeficiente Hazen Williams (C): C 150

1.01E-06

Dimetro boquilla : Db 4.8 mmCoeficiente de Velocidad : K 0.95Area boquilla : A 18.096

Nodo Tramo Long. P. Long. A. Long.A. Qi Qi Vi hf i hf (acum) hf Topografa H. Nodo H Boquilla Qi (Real) Var. Q Var HN (m) (m) (%) (l/s) (m/s) (m) (m) (%) (m) (m) (m) (l/hr) (%) (%)0 0 0 0.00 0.000 0.000 36.421 0-1 6 6 5.26 15.00 4.167 2.923 1.2157 1.216 14.20 -0.211 35.42 33.417 1584.65 5.64 11.392 1-2 12 18 15.79 13.50 3.750 2.631 2.0004 3.216 37.56 -0.632 33.84 31.838 1546.75 3.12 6.133 2-3 12 30 26.32 12.00 3.333 2.339 1.6084 4.824 56.34 -1.053 32.65 30.651 1517.64 1.18 2.174 3-4 12 42 36.84 10.50 2.917 2.046 1.2560 6.080 71.01 -1.474 31.82 29.816 1496.83 -0.21 -0.615 4-5 12 54 47.37 9.00 2.500 1.754 0.9441 7.025 82.04 -1.895 31.29 29.293 1483.65 -1.09 -2.366 5-6 12 66 57.89 7.50 2.083 1.462 0.6735 7.698 89.90 -2.317 31.04 29.041 1477.24 -1.52 -3.207 6-7 12 78 68.42 6.00 1.667 1.169 0.4455 8.144 95.11 -2.738 31.02 29.016 1476.62 -1.56 -3.288 7-8 12 90 78.95 4.50 1.250 0.877 0.2615 8.405 98.16 -3.159 31.18 29.176 1480.68 -1.29 -2.759 8-9 12 102 89.47 3.00 0.833 0.585 0.1234 8.529 99.60 -3.580 31.47 29.474 1488.22 -0.79 -1.75

10 9-10 12 114 100.00 1.50 0.417 0.292 0.0342 8.563 100.00 -4.001 31.86 29.861 1497.96 -0.14 -0.46Mnimo : 29.02 1476.62Promedio : 30.16 1505.02Mximo : 33.42 1584.65

14.669 7.202

m3/hr

Perdida de carga admisibble (H) : H

Viscosidad cinemtica a 20C (): m2/s

mm2

(m3/h)

0 6 18 30 42 54 66 78 90 102 114

-10.000

-5.000

0.000

5.000

10.000

15.000

20.000

25.000

30.000

35.000

40.000

Longitud ramal Vs H boquilla, Perdida de carga y Topografia

H Boquilla

Longitud ram al (m )

H bo

quill

a, H

f y T

opog

rafia

FORMULA DE DARCY-WEISBACH

Nmero de aspersores (n): n 10Caudal del aspersor (q) q 1.5Presion de trabajo (Pa): Pa 30 mca.Separacin entre aspersores (l): l 12 mDistancia al primer aspersor (lo): lo 6 mRelacin de distancias lo/l (X) : X 0.5Longitud del ramal (L) : L 114 mPendiente (S) S -3.51 %Desnivel topogrfico (Hg): Hg -4.00 mAltura tubo porta aspersor (Ha): Ha 2 mFacto de perdidas en menores (a) : a 1.10

10.00 m

Dimetro nominal tubera (Dn): Dn 1-3/4" PulgadasDimetrointerior tubera (Di) Di 42.6 mmRugosidad absoluta (Ks): Ks 0.002 mm

1.01E-06

Dimetro boquilla : Db 4.8 mmCoeficiente de Velocidad : K 0.95Area boquilla : A 18.096

Nodo Tramo Long. P. Long. A. Long.A. Qi Qi Vi Reynolds f hf i hf (acum) hf Topografa H. Nodo H Boquilla Qi (Real) Var. Q Var HN (m) (m) (%) (l/s) (m/s) Re Darcy (m) (m) (%) (m) (m) (m) (l/hr) (%) (%)0 0 0.00 0.00 #VALUE!1 0-1 6 6 5.26 15.00 4.167 2.923 123301 #VALUE! #VALUE! #VALUE! ### -0.21 #VALUE! #VALUE! #VALUE! ### ###2 1-2 12 18 15.79 13.50 3.750 2.631 110971 #VALUE! #VALUE! #VALUE! ### -0.63 #VALUE! #VALUE! #VALUE! ### ###3 2-3 12 30 26.32 12.00 3.333 2.339 98641 #VALUE! #VALUE! #VALUE! ### -1.05 #VALUE! #VALUE! #VALUE! ### ###4 3-4 12 42 36.84 10.50 2.917 2.046 86311 #VALUE! #VALUE! #VALUE! ### -1.47 #VALUE! #VALUE! #VALUE! ### ###5 4-5 12 54 47.37 9.00 2.500 1.754 73981 #VALUE! #VALUE! #VALUE! ### -1.90 #VALUE! #VALUE! #VALUE! ### ###6 5-6 12 66 57.89 7.50 2.083 1.462 61651 #VALUE! #VALUE! #VALUE! ### -2.32 #VALUE! #VALUE! #VALUE! ### ###7 6-7 12 78 68.42 6.00 1.667 1.169 49320 #VALUE! #VALUE! #VALUE! ### -2.74 #VALUE! #VALUE! #VALUE! ### ###8 7-8 12 90 78.95 4.50 1.250 0.877 36990 #VALUE! #VALUE! #VALUE! ### -3.16 #VALUE! #VALUE! #VALUE! ### ###9 8-9 12 102 89.47 3.00 0.833 0.585 24660 #VALUE! #VALUE! #VALUE! ### -3.58 #VALUE! #VALUE! #VALUE! ### ###10 9-10 12 114 100.00 1.50 0.417 0.292 12330 #VALUE! #VALUE! #VALUE! ### -4.00 #VALUE! #VALUE! #VALUE! ### ###

Mnimo : #VALUE! #VALUE!Promedio : #VALUE! #VALUE!Mximo : #VALUE! #VALUE!

#VALUE! #VALUE!

m3/hr

Perdida de carga admisibble (H) : H

Viscosidad cinemtica a 20C (): m2/s

mm2

(m3/h)

0 12 24 36 48 60 72 84 96 108 120-4.50

-4.00

-3.50

-3.00

-2.50

-2.00

-1.50

-1.00

-0.50

0.00 Curvas de Longitud Ramal Vs H boquilla, perdida de carga y desnivel por topografa

H Boquilla

Longitud Ramal (m)H

b(m

), h

(m

) y

Topo

graf

a (m

) hf= f LDiV

2

2g

Nombre Elevacion (m) Q (m/hr) Presion (m H2O)J-1 99.790 1.5 135.178 35.320J-2 99.3700 1.5 133.248 33.810J-3 98.9500 1.5 131.697 32.680J-4 98.5300 1.5 130.488 31.890J-5 98.1100 1.5 129.58 31.410J-6 97.6800 1.5 128.933 31.190J-7 97.2600 1.5 128.505 31.180J-8 96.8400 1.5 128.255 31.350J-9 96.4200 1.5 128.138 31.650

J-10 96.0000 1.5 128.105 32.040

Nombre L (m) Di (mm) Material C-Hazen- W Km hft (m)P-1 6 42.6 PVC 150 0.31 1.2420P-2 12 42.6 PVC 150 0.31 1.9300P-3 12 42.6 PVC 150 0.31 1.5510P-4 12 42.6 PVC 150 0.31 1.2100P-5 12 42.6 PVC 150 0.31 0.9080P-6 12 42.6 PVC 150 0.31 0.6470P-7 12 42.6 PVC 150 0.31 0.4270P-8 12 42.6 PVC 150 0.31 0.2500P-9 12 42.6 PVC 150 0.31 0.1180

P-10 12 42.6 PVC 150 0.31 0.0320

Z+P/

Q (m/hr) V (m/s) Z+P/g (inicio) Z+P/g (final) J (m/m)15.0 2.923 136.42 135.178 0.2069513.5 2.631 135.178 133.248 0.1608712.0 2.339 133.248 131.697 0.1292210.5 2.046 131.697 130.488 0.10089.0 1.754 130.488 129.58 0.075677.5 1.462 129.58 128.933 0.053916.0 1.169 128.933 128.505 0.03564.5 0.877 128.505 128.255 0.020853.0 0.585 128.255 128.138 0.009811.5 0.292 128.138 128.105 0.00271

Ejemplo 5.2.3 Hazen WilliamsEjemplo 5.2.3 Darcy-WeisbachResultados WaterCad