Parametros OKIII) CLCULOS Y RESULTADOSIII.1) LINEA DE CONDUCCIN

Parmetros de Diseo1 )Q max d =0.03081m3/s2 )Clase de Tubera :P.V.C.Clase 53 )C =140Segn R.N.E. del 11 de Junio del 20064 )V min =0.60m/sV max =5.00m/s5 )Por contuniudad :Q = V x A

Luego :D min =0.08858m=3.49 pulgD max =0.25570m=10.07 pulgD min =3.4872pulgD max =10.0668pulg6 )Entonces :D min =4 pulg=0.1016mD max =10 pulg=0.2540m7 )Determinamos si la tuberia es corta o largaL =1500m

5906>2000Tuberia Larga8 )Entonces el Rango de Dimetros:D min =4 pulgD max =10 pulg9 )Calculo del Gradiente ( Sf ) para el Rango de Dimetros:AUTOCADDimetro (pulg)S fXY40.125763100157.204223178260.01745810021.822262583980.0043011005.3758622261100.00145072921001.8134115046

ERROR:#REF!JJKKLLMMNNOOPPQQRRSS

PRESIO IO OKPUNTOTRAMOXYXYLONGSfHf (m)Hf (m) acumcota de L.P.PRESION075010.00150.000.000.00150.000.0022.61660438645.2485562521-256.54129.0556.54-20.9560.304.000.13047.717.71142.2913.24Dimetro (")S f(%)FACTOR34.15806718544.161868132-385.40108.8328.85-20.2235.234.000.13044.5012.21137.7928.9640.13040852660.980.1278003561CRPCRP85.40108.830.000.000.00Presin perdida:28.9641.17108.830.0060.018102625110.018102625147.26688971401.6907038443-4118.1780.3432.77-28.4943.434.000.12785.5546.72103.2822.9480.00445953840.8250.0036791192CRPCRP118.1780.340.000.000.00Presin perdida:22.9469.6680.340.00138.96100.00150431280.8250.00124105865.09043727263.9845200654-5162.7352.8044.56-27.5452.388.000.00450.1969.8580.1527.3566.21636366228.4745107565-6165.5445.692.81-7.107.648.000.00450.0369.8880.1234.4240.13040852660.96563.79440477197.2227047576-7159.4939.44-6.05-6.258.708.000.00450.0369.9180.0940.64estos estan ok71.18470147164.2233841587-8177.9632.8418.48-6.6019.628.000.00450.0769.9980.0147.1780.00445953840.82583.50596695152.1461015598-9208.7630.4330.80-2.4230.908.000.00450.1170.1079.9049.4794.10217472153.13192671109-10235.2630.6326.490.2026.498.000.00450.1070.2079.8049.18102.9377702166.795151881110-11257.3433.3622.092.7322.268.000.00450.0870.2879.7246.36115.96427487227.184354941211-12289.9145.4432.5712.0834.738.000.00450.1370.4179.5934.16126.6488237309.270025641312-13316.6261.8526.7116.4231.358.000.00450.1270.5279.4817.62130.50952632326.813965331413-14326.2765.369.653.5110.278.000.00450.0470.5679.4414.08133.28063325332.031168771514-15333.2066.416.931.047.018.000.00450.0370.5979.4113.01134.7168179331.960279671615-16336.7966.393.59-0.013.598.000.00450.0170.6079.4013.01138.08626954324.590709981716-17345.2264.928.42-1.478.558.000.00450.0370.6379.3714.45142.02861134304.138249921817-18355.0760.839.86-4.0910.678.000.00450.0470.6779.3318.50143.27395496294.520084541918-19358.1858.903.11-1.923.668.000.00450.0170.6879.3220.41145.09499955277.824494572019-20362.7455.564.55-3.345.658.000.00450.0270.7079.3023.73146.71075054245.260862072120-21366.7849.054.04-6.517.668.000.00450.0370.7379.2730.21153.04947081198.983671072221-22382.6239.8015.85-9.2618.358.000.00450.0770.8079.2039.40156.43836734178.869745252322-23391.1035.778.47-4.029.388.000.00450.0370.8479.1643.39170.16802408156.291407812423-24425.4231.2634.32-4.5234.628.000.00450.1370.9679.0447.78179.4634063156.503335572524-25448.6631.3023.240.0423.248.000.00450.0971.0578.9547.65187.70119195194.485583272625-26469.2538.9020.597.6021.958.000.00450.0871.1378.8739.97190.89233582244.594864232726-27477.2348.927.9810.0212.818.000.00450.0571.1878.8229.91192.80666226393.572967162827-28482.0278.714.7929.8030.188.000.00450.1171.2978.71-0.00441.66CICI482.0278.710.000.000.00Presin dada:-39.9931.30118.7039.99194.48978774448.110338632928-29486.2289.624.2110.9111.698.000.00450.0431.34118.6629.04201.43504392479.914814043029-30503.5995.9817.366.3618.498.000.00450.0731.41118.5922.61216.89765589524.176486743130-31542.24104.8438.668.8539.668.000.00450.1531.55118.4513.61220.54120096524.179652213231-32551.35104.849.110.009.118.000.00450.0331.59118.4113.58233.16309479488.376642683332-33582.9197.6831.55-7.1632.368.000.00450.1231.70118.3020.62238.00787154442.735559393433-34595.0288.5512.11-9.1315.178.000.00450.0631.76118.2429.69252.79549677358.034021673534-35631.9971.6136.97-16.9440.678.000.00450.1531.91118.0946.48264.77896232286.210350493635-36661.9557.2429.96-14.3633.228.000.00450.1232.03117.9760.73273.02299886259.585967213736-37682.5651.9220.61-5.3221.298.000.00450.0832.11117.8965.97289.0839136237.19798213837-38722.7147.4440.15-4.4840.408.000.00450.1532.26117.7470.30298.42165716238.690513323938-39746.0547.7423.340.3023.358.000.00450.0932.35117.6569.92306.63887569275.257561834039-40766.6055.0520.547.3121.818.000.00450.0832.43117.5762.52310.78164462409.030220324140-41776.9581.8110.3626.7528.698.000.00450.1132.53117.4735.66322.36124675483.133754044241-42805.9096.6328.9514.8232.528.000.00450.1232.65117.3520.72324.91994825544.863906654342-43812.30108.976.4012.3513.908.000.00450.0532.70117.308.33335.15051606579.794112974443-44837.88115.9625.586.9926.518.000.00450.1032.80117.201.24340.40863358579.155590474544-45851.02115.8313.15-0.1313.158.000.00450.0532.85117.151.32348.98438987551.451024624645-46872.46110.2921.44-5.5422.148.000.00450.0832.93117.076.78357.23375616491.275319854746-47893.0898.2620.62-12.0423.888.000.00450.0933.02116.9818.73468.00CSCS893.0898.260.000.000.00Presin perdida:18.7351.7498.260.00388.36377204334.017182134847-48970.9166.8077.83-31.4583.944.000.130410.7362.4787.5320.72400.82063139234.420807984948-491002.0546.8831.14-19.9236.974.000.13044.7267.2082.8035.92425.17512834152.466674015049-501062.9430.4960.89-16.3963.054.000.13048.0675.2674.7444.25427.4812674131.314763275150-511068.7025.565.77-4.937.584.000.13040.9776.2273.7848.21191.55417.94305476112.914725535251-521035.6021.65-33.10-3.9133.334.000.13044.2680.4869.5247.86398.5019171296.715628175352-53933.2515.99-102.35-5.66102.514.000.130413.1093.5956.4140.42135.84363.3092210375.02987265453-54895.6613.71-37.59-2.2837.668.000.00450.1493.7256.2842.56342.9172029945.786957085554-55857.299.16-38.37-4.5538.648.000.00450.1493.8756.1346.9876.29348.8374595332.315501685655-56872.096.4614.80-2.6915.048.000.00450.0693.9256.0849.62410.3816975545.786245565756-571025.959.16153.862.69153.888.000.00450.5794.4955.5146.36453.4736032348.336202565857-581133.689.67107.730.51107.738.000.00450.4094.8855.1245.45470.9056870358.624786195958-591177.2611.7243.582.0643.638.000.00450.1695.0454.9643.23487.0387282785.879159716059-601217.6017.1840.335.4540.708.000.00450.1595.1954.8137.63497.91655136140.821252976160-611244.7928.1627.1910.9929.338.000.00450.1195.3054.7026.53513.86857598229.401912496261-621284.6745.8839.8817.7243.648.000.00450.1695.4654.548.66521.66734418266.270199056362-631309.8054.3025.138.4226.508.000.00450.1095.5654.440.14460.46CICI1309.8054.300.000.000.00Presin dada:-7.7987.7762.237.93538.27456175304.951306816463-641345.6960.9935.886.6936.508.000.00450.1387.9062.101.11544.23809544305.066985736564-651360.6061.0114.910.0214.918.000.00450.0587.9662.041.03548.80818835291.995729716665-661372.0258.4011.43-2.6111.728.000.00450.0488.0062.003.60553.46776248256.720059536766-671383.6751.3411.65-7.0613.628.000.00450.0588.0561.9510.61553.65154913205.37464856867-681384.1041.720.43-9.629.638.000.00450.0488.0861.9220.1986.38CSCS1384.1041.720.000.000.00Presin perdida:20.19108.2841.720.00556.09109651178.234499836968-691390.2335.656.13-6.078.634.000.13041.10109.3840.624.97566.80934353109.836980067069-701417.0221.9726.80-13.6830.094.000.13043.84113.2336.7714.81577.9751905475.387789597170-711444.9415.0827.91-6.8928.754.000.13043.67116.9033.1018.02586.8136069331.24468587271-721467.036.2522.10-8.8323.794.000.13043.04119.9430.0623.8160007372-731500.000.0032.97-6.2533.554.000.13044.29124.2325.7725.77124.81

MI INVESTIGACION SOBRE LA VARIACION Lreal=2123.96factor de conversion=1.4159719099(40%)DE LA LONGITUD CON LA TOPOGRAFIALproyecta15002123.96OK

Grfico OK

BOMBEO OKCONDUCCIN POR BOMBEO1)Caudal de Diseo (Qb)El mayor de los dosN HB=24horasQm=0.02370m3/segQmd=0.03081m3/seg

Reemplazando:Qb=0.03081m3/segQb =0.02370m3/segEntonces:Qb =0.03081m3/seg2)Clculo de Dimetros Mximos y Mnimos

Vmn =0.6m/sVmx =2m/sD mn =0.1401m =5.51pulgD mx =0.2557m =10.07pulg3)Rango de DimetrosD (pulg)D (m)V (m/s)S f

60.15241.68900.0174680.20320.95010.00430100.25400.60800.00145120.30480.42230.00060140.35560.31020.00028160.40640.23750.00015180.45720.18770.000084)Dimetro de la Tubera Impulsin y Succin.

Aplicamos Marquard

K =0.9 - 1.4l =NHB/24 =1K =1.2Di =0.2106m =8.293"

Di =8pulg(dimetro de impulsin)

Ds =10pulg(dimetro de succin)

Nota:La tubera de succin tiene por lo general un dimetro superior al de impulsin.Velocidad de succin :0.6080m/segokVelocidad de impulsin:0.9501m/segok

5)Diseo del Crcamo

h >0.5 * DS =0.127mh min =0.20mh =0.20m

hPara impedir la entrada de aire h

hh = 2.5 * DS + 0.10 =0.74m

0.22m

Caudal de bombeo =0.03081m3/segTiempo de retencin =3min.V = Q * tV = 5.546m3.Las dimensiones del crcamo sern:V = h * a2h =h' + h=0.20+0.74h =1.00m.a =2.40m.

6)Chequeo del fenmeno de cavitacin:

Datos para Cajamarca:Altura de succin =3.30mPresin de vapor ( T = 20 C ) =0.239m.c.a*Altura de succin adoptado por seguridad (hs ) =1.00m

*Del libro de fluidos de la coleccin shaum - Ranald V. Giles

Aplicando Bernoulli:0.70

1.00Donde:(P2 / ) =NPSH disp. + (PV / )P1 =P.atm.Z1 =0.000.74Z2 =hs

Para evitar la cavitacin se debe cumplir: NPSHD > NPSHR

7)Prdida de carga en la tuberia de succin ( Pc. succin ):

Por friccin:

L = LS =2.44mQ = QB =0.03081m3/segD = DS =0.254mC (PVC) =140

hf =0.0035mPrdidas locales:

K1 (Canastilla o vlvula de pie) =3.70K2 (Codo de 90 ) =0.24 Ki =3.94Vs=0.608m/s

hL =0.0742mPrdida de carga total (Pc.succin):

Pc.succin = hf + hL = 0.078m

NPSH disponible:Donde:PA.L =7.05PV =0.239m.c.a. =1.00VS =0.608m/shS =1.00mPc.succin =0.078m

NPSHD =5.714

NPSH requerido:

Dado por el fabricante (2.5 - 4) =NPSHR =4.00NPSHD > NPSHR5.714>4.00 . OK

Por lo tanto no existe cavitacin

8)Prdida de carga en la tuberia de impulsin ( Pc. impulsin ):

Por friccin:

Bomba 1L = LI =468.000mQ = QB =0.03081m3/segC (PVC) =140D = DI =0.2032m

hf =2.013m

Bomba 2L = LI =86.380mQ = QB =0.03081m3/segC (PVC) =140D = DI =0.2032m

hf =0.371m

Prdidas locales: lo mismo en todas las bombas

K1 (01 Vlvula Check) =2.00K2 (01Vlvula de compuerta) =0.25K3 (01Vlvula de salida) =3.00K4 (02 Codos de 90: 0.75 c/u) =1.50 Ki =6.75VI =0.950m/s

hL =0.311mPrdida de carga total (Pc.impulcin):

bomba 1Pc.impulsin = hf + hL = 2.323mbomba 2=0.682

9)Altura total de la bomba ( HB ):

hs =1.000mPc.succin =0.078mbomba 1hi =39.99mPc.impulsin =2.323mbomba 2hi =7.93mPc.impulsin =0.682m

HB = H succin + H impulsin + PC. succin + PC. impulsin

bomba 1HB1 = 43.391bomba 2HB2 = 9.690

10) Potencia de la bomba ( Pot.B ):

=1000kg/m3HB1 = 43.3910373024mHB2 = 9.6898080682m

QB =0.03081m3/sn =0.75

Pot.B1 =23.8HPPot.B1 =5.3HP

11) Golpe de arriete en la tubera de impulsin ( Mtodo prctico):

Tuberia de impulsin 1, 2 :

Celeridad "a" (Tubera PVC):

E (PVC) =25000K = (10 ^ 6 ) / ( E ) =40.00D = Di =203.20mme (PVC) =6.7mm

Tuberia1 , 2a =278.7m/s

Tiempo "T":Donde:L = LI 1=468.00K =2.00L = LI 2=86.38K =2.00

V = VI =0.950m/sHm = H imp+ Pc.imp 1=42.313mHm = H imp+ Pc.imp 2=8.612

Tuberia1T =3.142segTuberia2T =2.943

Longitud de trnsito de impulsin "Lt":

Tuberia1Lt = (a * T) / ( 2 ) =437.9mTuberia2=410.1

Lt>

LI : Impulsin cortaLt < LI : Impulsin largaTuberia1437.94986.380impulsion corta (Michaud)

ALLEVIV = VI =0.950

MICHAUDTuberia1S/P =27.00Tuberia2S/P =5.69

Tuberia1Pmx = H impulsin + S/P =66.99mPmx = H impulsin - S/P =12.99mTuberia2Pmx = H impulsin + S/P =13.62mPmx = H impulsin - S/P =2.24m

Por lo tanto la tuberia es clase 7.5 para la bomba 1 y clase 5 para la bomba 2

CRP OKCmara rompe presinClculo de la carga requerida para que el gasto de salida pueda fluir (H):Donde:Para dimetro de la tuberia: = 4" =0.1016mH =0.95mAltura total de la cmara rompe presin:h (Altura mnima) =0.10mH(Carga de agua) =0.95mBL (Borde libre) = 0.30 * H =0.29mHtotal =1.35mPara t = 60seg.A =1.37m2a * b =1.37m2a =1.2mb =1.2m

Hoja2longcota medida en el planocota corregida at point X= 0.0000 Y= 0 Z= 0.0000075060 at point X= Y= Z= 0.000051.0654668.142553.4514 at point X= Y= Z= 0.0000136.281589.428347.154264 at point X= Y= Z= 0.000073.4822476.508738.120696 at point X= Y= Z= 0.0000100.2344350.962428.076992 at point X= Y= Z= 0.000060.2629233.141818.651344 at point X= Y= Z= 0.0000155.5130.929210.474336 at point X= Y= Z= 0.0000190.4462233.682718.694616 at point X= Y= Z= 0.0000271.4053170.393713.631496 at point X= Y= Z= 0.0000281.52179.949914.395992 at point X= Y= Z= 0.0000277.9789255.475720.438056 at point X= Y= Z= 0.0000285.1648271.669721.733576 at point X= Y= Z= 0.0000356.3327248.015119.841208 at point X= Y= Z= 0.0000361.0127255.474120.437928 at point X= Y= Z= 0.0000340.2238334.920226.793616 at point X= Y= Z= 0.0000358.9198396.536331.722904 at point X= Y= Z= 0.0000362.9956439.968535.19748 at point X= Y= Z= 0.0000379.9781454.55936.36472 at point X= Y= Z= 0.0000446.8894401.965432.157232 at point X= Y= Z= 0.0000454.4252409.84532.7876 at point X= Y= Z= 0.0000467.3319498.066639.845328 at point X= Y= Z= 0.0000474.5082480.070238.405616 at point X= Y= Z= 0.0000481.1456355.186628.414928 at point X= Y= Z= 0.0000417.645221.653217.732256 at point X= Y= Z= 0.0000254.254695.70267.656208 at point X= Y= Z= 0.0000264.193675.46256.037 at point X= Y= Z= 0.0000350.586653.69474.295576 at point X= Y= Z= 0.0000447.300761.71444.937152 at point X= Y= Z= 0.0000463.3561120.90749.672592 at point X= Y= Z= 0.0000514.369794.63167.570528 at point X= Y= Z= 0.0000536.2917383.100430.648032 at point X= Y= Z= 0.0000538.6883645.386951.630952 at point X= Y= Z= 0.0000548.57655.939652.475168 at point X= Y= Z= 0.0000560.4961645.046551.60372 at point X= Y= Z= 0.0000567.3154607.630448.610432 at point X= Y= Z= 0.0000572.619945036 at point X= Y= Z= 0.0000582.082238.577919.086232 at point X= Y= Z= 0.0000571.8457128.684710.294776 at point X= Y= Z= 0.0000584.972837.25552.98044 at point X= Y= Z= 0.0000599.59041.55460.124368