1.CS610.31.732.41----1.73-2.41----813.72.243.02----2.24-3.02----1017.12.313.2----2.31-3.2----1521.32.773.737.47---2.77-3.73---4.782026.72.873.917.82---2.87-3.91---5.562533.43.384.559.09---3.38-4.55---6.353242.23.564.859.7---3.56-4.85---6.354048.33.685.0810.15---3.68-5.08---7.145060.33.915.5411.07---3.91-5.54---8.7465735.167.0114.02---5.16-7.01---9.538088.95.497.6215.24---5.49-7.62---11.1390101.65.748.08----5.74-8.08----100114.36.028.5617.12---6.02-8.56-11.13-13.49125141.36.559.5319.05---6.55-9.53-12.7-15.88150168.37.1110.9721.95---7.11-10.97-14.27-18.26200219.18.1812.722.23-6.357.048.1810.3112.715.0918.2620.6223.01250273.19.2712.725.4-6.357.89.2712.715.0918.2621.4425.428.58300323.99.5312.725.4-6.358.3810.3114.2717.4821.4425.428.5833.32350355.69.5312.7-6.357.929.5311.1315.0919.0523.8327.7931.7535.71400406.49.5312.7-6.357.929.5312.716.6621.4426.1930.9636.5340.494504579.5312.7-6.357.9211.1314.2719.0523.8329.3634.9339.6745.245005089.5312.7-6.359.5312.715.0920.6226.1932.5438.144.4550.015505599.5312.7-6.359.5312.7-22.2328.5834.9341.2847.6353.986006109.5312.7-6.359.5314.2717.4824.6130.9638.8946.0252.3759.546506609.5312.7-7.9212.7--------7007119.5312.7-7.9212.715.88-------7507629.5312.7-7.9212.715.88-------8008139.5312.7-7.9212.715.8817.48------8508649.5312.7-7.9212.715.8817.48------9009149.5312.7-7.9212.715.8819.05------105010679.5312.7-----------STDExStrXxStr102030406080100120140160AC6STD8ExStr10XxStr1510202025303240406050806510080120901401001601251502002503003504004505005506006507007508008509001050

2.SS610.29-1.241.732.41813.72-1.652.243.021017.15-1.652.313.21521.341.652.112.773.732026.671.652.112.873.912533.41.652.773.384.553242.161.652.773.564.854048.261.652.773.685.085060.331.652.773.915.546573.032.113.055.167.018088.92.113.055.497.62100114.32.113.056.028.56125141.32.773.46.559.52150168.282.773.47.1110.97200219.082.773.768.1812.7250273.053.44.199.2712.7300323.853.964.579.5212.7350355.63.964.78--400406.44.194.78--450457.24.194.78--5005084.785.54--600609.65.546.35--7507626.357.92--NOMINALSIZE (DN)OUTSIDEDIAM.5S10S40S80SWALL THICKNESS (mm)STAINLESS STEEL PIPES TO AMERICAN STANDARD ASME B36.19From Onesteel2.- Stainless steel pipesdnSchmm-65S810S1040S1580S20253240506580100125150200250300350400450500600750

3.PVC15-----1.51.82026.75---1.51.92.22533.55--1.51.92.32.73242.25--1.92.42.93.44048.25-1.52.12.73.33.95060.35-1.82.63.34.14.96575.351.72.23.24.25.16.18088.922.63.84.96.17.1100114.32.53.24.86.37.79.1125140.2345.97.6--150160.33.44.56.78.810.812.8200225.3-5.78.411.113.616.2225250.44.86.39.312.315.218250280.4-7.110.513.71720.1300315.56811.715.519.122.6375400.57.710.114.919.6--Standard uPVC Pipe SizesFrom iPlexNOMINALSIZE (DN)OUTSIDEDIAM.4.569121518WALL THICKNESS (mm)3.- PVC pipes

4.HDPE_PE100162.3202.3252.32.8322.433.6402.433.74.5502.433.74.65.6632.333.84.75.87.1752.83.64.55.66.88.4902.33.34.35.46.78.210.11102.745.36.68.11012.31253.14.667.49.211.4141403.55.16.78.310.312.715.716045.87.79.511.814.617.91804.46.68.610.713.316.420.12004.97.39.611.914.718.222.42255.58.210.813.416.620.525.22506.29.111.914.818.422.727.92806.910.213.416.620.625.431.33157.711.41518.723.228.635.23558.712.916.921.126.132.239.74009.814.519.123.729.436.344.74501116.321.526.733.140.950.350012.318.123.929.736.845.455.856013.720.326.733.241.250.863015.422.83037.446.257.271017.425.733.942.152.280019.62938.147.458.89002232.642.653.3100024.536.247.759.3120029.443.457.2140034.350.6160039.257.9Dn [mm]4681012.51620Presiones nominales PN [bar]HDPE PE100dnPNmmbar16420625832104012.55016632075901101251401601802002252502803153554004505005606307108009001000120014001600http://www.vinilit.cl/pdf_2/tub_fittings_hdpe_min.pdfhttp://www.vinilit.cl/pdf_2/tub_fittings_hdpe_min.pdf

4.HDPE_PE80162.21201.92.82252.33.53321.82.94.44401.82.33.75.55501.82.02.94.66.96631.82.02.53.65.88.67751.92.32.94.36.810.38902.22.83.55.18.212.391102.73.44.26.310.015.1101253.13.94.87.111.417.1111403.54.35.48.012.719.2121604.04.96.29.114.621.9131804.45.56.910.216.424.6142004.96.27.711.418.227.4152255.56.98.612.820.530.8162506.27.79.614.222.734.2172806.98.610.715.925.438.3183157.79.712.117.928.643.1193558.710.913.620.132.248.5204009.812.315.322.736.354.72145011.013.817.225.540.961.52250012.315.319.128.445.468.32356013.717.221.431.750.82463015.419.324.135.757.22571017.421.827.240.264.52680019.624.530.645.32790022.027.634.451.028100024.530.638.256.729110026.933.742.062.430120029.436.745.968.031140034.442.953.532160039.249.061.233Dn [mm]2 1/23.2461016Presiones nominales PN [bar]HDPE PE80 DIN 8074 / ISO 4427Espesor [mm]1234567HDPE 80 DIN 8074dnPNmmbar162.5203.22543264010501663759011012514016018020022525028031535540045050056063071080090010001100120014001600

5.FRPStandard FRP Pipe Sizes (Hobas)WALL THICKNESS (mm)dn [mm]de [mm]Class4 SN5kClass6 SN5kClass6 SN10kClass10 SN5kClass10 SN10kClass12.5 SN5kClass12.5 SN10kClass16 SN10kClass20 SN10kClass25 SN10k30034577107878888375426881181081010101045050710101391291111111152558711111511131113131313600667131217121512151414-6757471414191317131616--7508261515201418151817--9009241717231620162019--100010261918251822172221--120012292222302126212625--From iPlexNOMINALSIZE (DN)OUTSIDEDIAM.5.- FRP pipesFRPdnPNmmbar300Class4 SN5k375Class6 SN5k450Class6 SN10k525Class10 SN5k600Class10 SN10k675Class12.5 SN5k750Class12.5 SN10k900Class16 SN10k1000Class20 SN10k1200Class25 SN10k

6.CS_Imp123456789101112131415161723Pipe Thickness [mm], according ASME B36.10M45ASME B36.10M SCHEDULE / IDENTIFICATION6Sizedext5102030406080100120140160STDXSXXS71/221.31.652.11-2.412.77-3.73-0-4.782.773.737.4783/426.71.652.11-2.412.87-3.91-0-5.562.873.917.829133.41.652.77-2.93.38-4.55-0-6.353.384.559.09101 1/442.21.652.772.973.564.856.353.564.859.7111 1/248.31.652.77-3.183.68-5.08-0-7.143.685.0810.1512260.31.652.77-3.183.91-5.54-0-8.743.915.5411.07132 1/2732.113.054.785.167.019.535.167.0114.0214388.92.113.05-4.785.49-7.62-0-11.135.497.6215.24153 1/2101.62.113.054.785.748.085.748.08164114.32.113.05-4.786.02-8.56-11.13-13.496.028.5617.12175141.32.773.4--6.55-9.53-12.7-15.886.559.5319.05186168.32.773.4--7.11-10.97-14.27-18.267.1110.9721.95198219.12.773.766.357.048.1810.3112.715.0918.2620.6223.018.1812.722.2320102733.44.196.357.89.2712.715.0918.2621.4425.428.589.2712.725.42112323.83.964.576.358.3810.3114.2717.4821.4425.428.5833.329.5312.725.42214355.63.966.357.929.5311.1315.0919.0523.8327.7931.7535.719.5312.7-2316406.44.196.357.929.5312.716.6621.4426.1930.9636.5340.499.5312.7-24184574.196.357.9211.1314.2719.0523.8329.3634.9339.6745.249.5312.7-25205084.786.359.5312.715.0920.6226.1932.5438.144.4550.019.5312.7-26225594.786.359.5312.7-22.2328.5834.9341.2847.6353.989.5312.7-27246105.546.359.5314.2717.4824.6130.9638.8946.0252.3759.549.5312.7-2826660-7.9212.715.88-------9.5312.7-2928711-7.9212.7--------9.5312.7-30307626.357.9212.715.88-------9.5312.7-3132813-7.9212.715.8817.48------9.5312.7-3234864-7.9212.715.8817.48------9.5312.7-3336914-7.9212.715.8819.05------9.5312.7-3438965-----------9.5312.7-35401016-----------9.5312.7-36421067-----------9.5312.7-441118-----------9.5312.7-461168-----------9.5312.7-39481219-----------9.5312.7-Carbon steel pipesdnSc -in1/253/4101201 1/2302403604805100612081401016012STD14XS16XXS18202224262830323436384042444648

7.SS_ImpNOMINAL SIZENOMINAL O.D5S10S40S80Smmdi [mm]di [mm]di [mm]di [mm]Stainless Steel Pipe Schedule ANSI B36.10dndeInternal diameter [mm]1/810.29-7.816.835.471/413.72-10.429.247.683/817.15-13.8512.5310.751/221.3418.0417.1215.8013.883/426.6723.3722.4520.9318.85133.4030.1027.8626.6424.301 1/442.1638.8636.6235.0432.461 1/248.2644.9642.7240.9038.10260.3357.0354.7952.5149.252 1/273.0368.8166.9362.7159.01388.9084.6882.8077.9273.663 1/2101.6097.3895.5090.1285.444114.30110.08108.20102.2697.185141.30135.76134.50128.20122.246168.28162.74161.48154.06146.348219.08213.54211.56202.72193.6810273.05266.25264.67254.51247.6512323.85315.93314.71304.79298.4514355.60347.68346.04--16406.40398.02396.84--18457.20448.82447.64--20508.00498.44496.91--22558.80549.24547.72--24609.60598.52596.90--30762.00749.30746.16--dnSchin-1/85S1/410S3/840S1/280S3/411 1/41 1/222 1/233 1/24568101214161820222430

Note 1

Water Data00.5694.21712.991000.001.75E-031.75E-061.35E-070.00611.850.5744.21112.221000.001.65E-031.65E-061.36E-070.00706.850.5824.19810.261000.001.42E-031.42E-061.39E-070.009911.850.5904.1898.811000.001.23E-031.23E-061.41E-070.013916.850.5984.1847.56999.001.08E-031.08E-061.43E-070.019221.850.6064.1816.62998.009.59E-049.61E-071.45E-070.026226.850.6134.1795.83997.018.55E-048.58E-071.47E-070.035331.850.6204.1785.2995.027.69E-047.73E-071.49E-070.047136.850.6284.1784.62993.056.95E-047.00E-071.51E-070.062241.850.6344.1794.16991.086.31E-046.37E-071.53E-070.081346.850.6404.183.77989.125.77E-045.78E-071.53E-070.105351.850.6454.1823.42987.175.28E-045.35E-071.56E-070.135156.850.6514.1843.15984.254.89E-044.97E-071.58E-070.171961.850.6564.1862.88982.324.53E-044.61E-071.60E-070.216966.850.6604.1882.66979.434.20E-044.29E-071.61E-070.271571.850.6644.1912.45976.563.89E-043.98E-071.63E-070.337476.850.6684.1952.29973.713.65E-043.75E-071.64E-070.416381.850.6714.1992.14970.873.43E-043.53E-071.65E-070.510286.850.6744.2032.02967.123.24E-043.35E-071.66E-070.621391.850.6774.2091.91963.393.06E-043.18E-071.67E-070.751896.850.6794.2141.8960.612.89E-043.01E-071.68E-070.90451000.6804.2171.76957.852.79E-042.91E-071.68E-071.0133tkCpPrraguamnaPsatCW/(m*K)kJ/(kg*K)-kg/m3Pa sm2/sm2/sbarKSaturation properties of water as a function of the temperature

Air Data-73.150.01811.0070.7371.74580.00001325-23.150.02231.0060.721.39470.0000159626.850.02631.0070.7071.16140.0000184676.850.031.0090.70.9950.00002082126.850.03381.0140.690.87110.00002301176.850.03731.0210.6860.7740.00002507226.850.04071.030.6840.69640.00002701276.850.04391.040.6830.63290.00002884326.850.04691.0510.6850.58040.00003058376.850.04971.0630.690.53560.00003225426.850.05241.0750.6950.49750.00003388476.850.05491.0870.7020.46430.00003546526.850.05731.0990.7090.43540.00003698576.850.05961.110.7160.40970.00003843626.850.0621.1210.720.38680.00003981676.850.06431.1310.7230.36660.00004113726.850.06671.1410.7260.34820.00004244tkCpPrraguamCW/(m*K)kJ/(kg*K)-kg/m3Pa sAtmospheric air properties as a function of the temperature

Re_HERe1,00010,000100,0001,000,000He1000.4202000.1400.66503000.0830.31954000.0560.19105000.0420.13870.92236000.0330.09440.65427000.0280.07200.48938000.0230.05870.38059000.0210.04910.30481,0000.01840.04200.24992,0000.00800.01430.07070.54993,0000.00620.00800.03380.25064,0000.00560.00620.02000.14355,0000.00520.00570.01370.09316,0000.00500.00560.01000.06547,0000.00480.00540.00770.04858,0000.00480.00530.00700.03749,0000.00460.00510.00680.029810,0000.00450.00500.00670.024320,0000.00390.00440.00590.008330,0000.00360.00400.00540.006340,0000.00340.00380.00520.005650,0000.00320.00360.00490.005460,0000.00310.00350.00480.005270,0000.00300.00340.00460.005080,0000.00290.00340.00450.004990,0000.00290.00330.00440.0047100,0000.00280.00320.00430.0046200,0000.00250.00280.00380.0040300,0000.00230.00260.00350.0037400,0000.00220.00250.00330.0035500,0000.00210.00240.00320.0033600,0000.00210.00230.00310.0032700,0000.00200.00220.00300.0031800,0000.00200.00220.00290.0030900,0000.00190.00210.00290.00301,000,0000.00190.00210.00280.0029

Ref 1

IndexIndexRev. cjc 30.01.2014Pumping heterogeneous slurries (Type A Weir slurry clasification)The pressure correction indicated by Warman [1], has a real contribution when theApplication according Warmans empirical method [1]fluid velocity v > = vL and, in addition, when this fluid velocity is near thislimit deposition velocity.Sheet NName1Resume. Resumed application of Weir methodAccording Warman, for v / vL > 1.3, the calculated pressure drop on2" Weir type A " heterogeneous slurry. Definitionswater has same value as the slurry pressure drop expressed in meters of slurry3Input datacolumn [1], page S6-3.4Pressure losses (water as fluid)5Pressure difference betwen slurry and water as flow mediaOn the other hand, to avoid deposition, the system shal be designed for6Theory of Warman's empirical methodv >= 1.1 vL7Application8Limit deposition velocityThus, the Warman application rage is9Resistance curves for different weight concentrations1.1 vL < v < 1.3 vLNote. From the theory, the maximum value is around 1.4 vLvL : limit deposition velocity

1.- ResumeRev. cjc 30.01.20141.- ResumeThe slurry pressure drop is calculated,d50 : Average particle size [mm]according Weir [1], as the sum of the waterCw : Weight concentration [%]Weir empirical method for slurries type Apressure drop and the calculated pressuredn : Carbon steel pipe nominal diam. [in]difference. See below an explanation paragraph(Standard shedule will be used)Weir A-type slurries are defined by the following rangesfrom [1].SS : Solids specific gravity [-]of the weight concentration "Cw" and average particleFor a calculated water pressure dropQ : Slurry flow rate [m/s]size "d50":(example)Pw : Calculated pressure drop using0 % 1.4, the value of the slurry pressureCw =40%drop in [mpc] has to be considered equal toFig. 6.2, in sheet 7, (page 3) explainsdn=4inthe value of the water pressure drop expressedgraphically the Weir method.Ss =2.65-in [mwc]. (Ref. 1).Q =0.0104m/sPw =28.6mwcFigure 2-6 [5] (below) shows the basics ofslining =9mmWarman method. For a flow rate Q > 1.4 QLthe slurry and water curves merge. For lowerDPs_w =Slurry_Weir_A_DeltaP_d50_Cw_dn_Ss_Pwflow rates, there is a difference, and the WeirDPs_w =1.47mscmethod calculates it with an empirical method.Note 1. The method will be explained in base of a numerical example, with a pipe of uniform size (for suction and discharge) and using carbon stell pipeswith standard shedule. If a different material is to be used, the values obtained (automatically) with the pipe dimension functions shall be replaced manuallyby the values of the corresponding material and schedule.[1]

Cumulative particle size distribution d50 . Validity range: 10 [mm] < d50 < 3000 [mm]Weight concentrationValidity range:5% QC, the pressureFunction Qc_C_Qb_Pb(C,Qb,Pb)t =Qc^2*(C - r) - s*QcPressure at point "C"can be calcualted using the water curve,Using an auxiliar variableQc =0.0128410PC =r*Q^2 + s*Q + texpressed in metres of slurry column andz =(Qc*C)/(Qc-Qb)C =262505Qc =0.0128m3/sno correction is required.The equation to be solved isr =514716r =514716Zero = Qc^2*(C-z) +2*Qc*Qb*(z) - Qb^2*(z)-Pbs =-6477s=-6477On the other hand, the flow should notThe equation is solved using the functiont =41.6t =42be lower than the limiting value "1.1*QL"Qc =Qc_C_Qb_Pb(C,Qb,Pb)PC =43.29mto ensure no deposition will occcur.C =262,505Thus, the parabola constants for theQb =0.0063m3/hslurry curve are:Thus, a correction will be only requiredPb =21.2mcar =514,716in the rangeQc =0.0128m3/hs=-6,4771.1 * QL < Q < 1.4 * QLt =41.63C =262505C =262505C =262505C =2625054Water curveLimiting flowrateQL * 1.1Flow rate at point"B"Actual flow rateFlow rate at point"c"Dp = C * QQa = QLQb =Cb * QL0.0104Qc =Cc * QL262505QDpQDpDpQL * 1.1QDpQDpQDpm3/sm fcm3/sm fcm fcm3/sm fcm3/sm fcm3/sm fc00.000.00900.000.000.00990.00630.000.01040.000.01280.000.0010.260.009010.000.000.00990.006310.000.010425.000.012810.000.0021.050.009020.0020.000.00990.006320.000.010450.000.012820.000.0032.360.0090240.00990.00630.010475.000.012830.000.0044.200.0090280.00990.0104100.000.012835.000.0056.560.00900.00990.0104125.000.012840.000.0069.450.00900.00990.0104150.000.012845.000.00712.860.00900.00990.0104175.000.00816.800.00900.00990.0104200.000.00921.260.0104225.000.0126.250.0104250.000.01237.800.0104275.000.01451.450.0104800.000.01667.20C =262505Minimum pressure dropActual pressure dropSlurry resistance curveDp = DpaH = r*Q^2 + s*Q + tr =514716QPaQPactualQHs=-6477m3/smpcm3/smpcm3/sm cft =420.00021.20.00030.020.00230.690.01021.20.01030.020.00423.91Limiting flow rate0.01521.20.01530.020.00621.25QL =vL * A0.02021.20.02030.020.00822.71vL =1.61m/s0.02521.20.02530.020.01028.29A =0.01m20.03021.20.03030.020.01237.98QL =0.00899m3/s0.03521.20.03530.020.01451.790.04021.20.04030.020.01669.720.04221.20.04230.021.1 * QL =0.0099m/s0.04521.20.04530.020.05021.20.05030.02cjc.Rev. 1213.11.20125Subroutine for the pressure loss, for the actual flow in metres of pulp columnSlurry_Weir_A_DeltaP_d50_Cw_dn_Ss_Pw_Slining(d50, Cw, Dn, Ss, Q, P, Slining)For Q < 1.1 * QL, deposition will occurQL =0.0090m3/sUse of function DeltaPThe shown subroutine calculation can be repalced by the function DeltaPFor 1.1 * QL < Q Qcd50 =145mmwithWater curve is to be usedP =C * Q^2Cw =40%Pw: the pressure calculated as the fluiddn=4inwas waterFlow "1.1 * QL"Ss =2.65-Pw =28.56mwc1.1 * QL =0.0099m3/sQ >= 1.1 *QLQ =0.01043m3/sandPw =28.56mwcDeltaP: the difference between theFlow at point "c"slining =9mmpressures for slurry and water,Qc =0.0128m3/smeasured in metres of pulp column,Function result (Note 1)corresponding to the actual flowActual flowFlow enough to avoid depositionDeltaP =1.47mscDeltaP =1.47mscQ =0.0104m3/s1.1*QL < Q < Qc. Flow to be calculated using the slurry curveNote 1. Correction "DeltaP" requiredThus, the slurry pressure isSlurry curveto be applied only ifP =30.02mscP =r * Q^2 + s * Q + t, C *Q^21.1 * QL< Q