Channel. 0.- Channels and Pipes With Frictional and Singular Pressure Drop

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6.CS_Imp123456789101112131415161723Pipe Thickness [mm], according ASME B36.10M45ASME B36.10M SCHEDULE / IDENTIFICATIONApplicationDn =10in6Sizedext5102030406080100120140160STDXSXXS(with input validation)SCH =XXS-71/221.31.652.11-2.412.77-3.73-0-4.782.773.737.47di =Pipe_Imp_CS_Dint_dn_schN/Amm83/426.71.652.11-2.412.87-3.91-0-5.562.873.917.82de =Pipe_Imp_CS_Dext_dn406.4mm9133.41.652.77-2.93.38-4.55-0-6.353.384.559.09s =Pipe_Imp_CS_Thickness_dn_schN/Amm101 1/442.21.652.772.973.564.856.353.564.859.7111 1/248.31.652.77-3.183.68-5.08-0-7.143.685.0810.1512260.31.652.77-3.183.91-5.54-0-8.743.915.5411.07ApplicationDn =16in132 1/2732.113.054.785.167.019.535.167.0114.0214388.92.113.05-4.785.49-7.62-0-11.135.497.6215.24(without input validation)SCH =81153 1/2101.62.113.054.785.748.085.748.08164114.32.113.05-4.786.02-8.56-11.13-13.496.028.5617.12di =Pipe_Imp_CS_Dint_dn_schN/Amm175141.32.773.4--6.55-9.53-12.7-15.886.559.5319.05de =Pipe_Imp_CS_Dext_dn559mm186168.32.773.4--7.11-10.97-14.27-18.267.1110.9721.95s =Pipe_Imp_CS_Thickness_dn_schN/Amm198219.12.773.766.357.048.1810.3112.715.0918.2620.6223.018.1812.722.23The shedule entered is wrong20102733.44.196.357.89.2712.715.0918.2621.4425.428.589.2712.725.42112323.83.964.576.358.3810.3114.2717.4821.4425.428.5833.329.5312.725.42214355.63.966.357.929.5311.1315.0919.0523.8327.7931.7535.719.5312.7-2316406.44.196.357.929.5312.716.6621.4426.1930.9636.5340.499.5312.7-24184574.196.357.9211.1314.2719.0523.8329.3634.9339.6745.249.5312.7-25205084.786.359.5312.715.0920.6226.1932.5438.144.4550.019.5312.7-26225594.786.359.5312.7-22.2328.5834.9341.2847.6353.989.5312.7-27246105.546.359.5314.2717.4824.6130.9638.8946.0252.3759.549.5312.7-2826660-7.9212.715.88-------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]ApplicationDn =4in1/810.29-7.816.835.47(with input validation)SCH =40S1/413.72-10.429.247.68di =Pipe_Imp_SS_Dint_Dn_SCHmm3/817.15-13.8512.5310.75de =Pipe_Imp_SS_Dext_Dnmm1/221.3418.0417.1215.8013.88s =Pipe_Imp_SS_Thickness_Dn_SCHmm3/426.6723.3722.4520.9318.85133.4030.1027.8626.6424.301 1/442.1638.8636.6235.0432.46ApplicationDn =1.5in1 1/248.2644.9642.7240.9038.10(without input validation)SCH =5S260.3357.0354.7952.5149.25di =Pipe_Imp_SS_Dint_Dn_SCHmm2 1/273.0368.8166.9362.7159.01de =Pipe_Imp_SS_Dext_Dnmm388.9084.6882.8077.9273.66s =Pipe_Imp_SS_Thickness_Dn_SCHmm3 1/2101.6097.3895.5090.1285.44The nominal diameter entered is wrong4114.30110.08108.20102.2697.185141.30135.76134.50128.20122.246168.28162.74161.48154.06146.34208219.08213.54211.56202.72193.685S10273.05266.25264.67254.51247.6512323.85315.93314.71304.79298.4514355.60347.68346.04--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

1.CS610.31.732.41----1.73-2.41----813.72.243.02----2.24-3.02----ApplicationDn =900mm1017.12.313.2----2.31-3.2----(with input validation)SCH =401521.32.773.737.47---2.77-3.73---4.78di =Pipe_CS_Dint_dn_sch =mm2026.72.873.917.82---2.87-3.91---5.56de =Pipe_CS_Dext_dn =mm2533.43.384.559.09---3.38-4.55---6.35s =Pipe_CS_Thickness_dn_sch =mm3242.23.564.859.7---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---9.53ApplicationDn =350mm8088.95.497.6215.24---5.49-7.62---11.13(without input validation)SCH =4090101.65.748.08----5.74-8.08----di =Pipe_CS_Dint_dn_sch =333.34mm100114.36.028.5617.12---6.02-8.56-11.13-13.49de =Pipe_CS_Dext_dn =355.6mm125141.36.559.5319.05---6.55-9.53-12.7-15.88s =Pipe_CS_Thickness_dn_sch =11.13mm150168.37.1110.9721.95---7.11-10.97-14.27-18.26The shedule entered is wrong200219.18.1812.722.23-6.357.048.1810.3112.715.0918.2620.6223.01250273.19.2712.725.4-6.357.89.2712.715.0918.2621.4425.428.58300323.99.5312.725.4-6.358.3810.3114.2717.4821.4425.428.5833.32350355.69.5312.7-6.357.929.5311.1315.0919.0523.8327.7931.7535.71400406.49.5312.7-6.357.929.5312.716.6621.4426.1930.9636.5340.494504579.5312.7-6.357.9211.1314.2719.0523.8329.3634.9339.6745.245005089.5312.7-6.359.5312.715.0920.6226.1932.5438.144.4550.015505599.5312.7-6.359.5312.7-22.2328.5834.9341.2847.6353.986006109.5312.7-6.359.5314.2717.4824.6130.9638.8946.0252.3759.546506609.5312.7-7.9212.7--------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

ResumeRev. cjc. 30.01.2014Channel. 0.- Channels and pipes with frictional and singular pressure drop1.- Pressure loss calculation routine, for water2.- Pressure loss calculation routine, for slurry3.- Weir method for slurry pump selection for A-type fluids(Application of Warman's theory)4.- Circular Semicircular & Rectangular channels. Array & single functions. Variable Manning's coefficient.5.- Circular Semicircular & Rectangular channels. Array & single functions. Variable Manning's coefficient (Channel 5).6.- Pressure loss coefficients for Valves and Fittings7.- Widening and narrowing fittingsRef.Note for fluids type A (according to Weir)- In the standard method (sheet 2) the pressure head is calculated using the same method as used for the water (sheet 1), but utilizing the properties of the pulprather than the properties of water.- The method of Weir (sheet 3) calculates the pressure drop as if the fluid was water and adding a pressure differential correction to account for the properties ofthe slurry. Larger values of correction, correspond to cases where the flow velocity is close to the limit deposition velocity.In this case, the flow and pressure head will have their lowest values, and therefore the power requirement is the minimumWeir and standrd methodThe comparison of the two methods for the calculation of pulp line pressures, has been made based on a particular case. This, therefore, does not allow general conclusions .For the studied case , there is a good agreement between the two results , being the Weir method some 3% higher than the standard method . While recognizing theimpossibility of obtaining a general conclusion, one might assume, that both methods are applicable to other cases.However, the Weir method provides information regarding its application range. Thus, if the Weir method is accepted and it is considered that the standard methodgives similar results, the same range of validity should be applied to both methods. That is, the applicability of these methods should be restricted to fluids of " type -A " .According Weir, the method is valid for :0 % VmaxNotesNote 1. If the pipe material is not carbon steel with dimensions according ASME B31.3, the exterior diameter (Eq. 1) and the tickness (Eq. 2)shall be entered manualy.Note 2. Input dimension of Width and Height for the case of rectangular channels (Lined dimension).Note 3. For circular channels "Dim" corresponds to the "diameter" . Thus the ratio (HtoD)max is the maximum allowable ratio Height to Diameter.For semicircular and rectangular channels, "Dim" corresponds to the given channel heigt "Hchannel". Thus the ratio is the maximum alowableratio H to the given channel height "(HtoHchannel)max"Matrix functions included in the document are:ChannelCircularNvar_Prop_HtoDmax_Qm3s_Dm_S_Rabsmm_temp_Cw_Ss_d50MicChanelRectangularNvar_Prop_HtoDmax_Qm3s_Dm_S_Rabsmm_tC_Cw_Ss_d50MicChannelSemiCircularNvar_Prop_HtoHchannelMax_Qm3s_Bm_HchannelM_S_Rabsmm_temp_Cw_Ss_d50MicThese are a functions for circular, rectangular and semicircular channels, with variable Manning's coefficient , calculated with Eq. 15In this applications, the property identifying parameter "Prop" has been set to "Matrix".Thus, the outputs are a matrix and in this case with "13 elements"Limit deposition velocity is calculated according JRI [1], using the function shown with Eq. 16Viscosity ratio is calculated according Thomas, equation (1965) [4], using the function shown with Eq. 13.For rectangular channels, Max flow "Qmax" is for the height corresponding to the maximum value of the ratio Height to Hchannel "(HtoDim)max"In addition to the three mentioned matrix functions, following single functions are included:16 single functions for circular channel, with variable Manning coefficient16 single functions for semicircular channel, with variable Manning coefficient16 single functions for rectangular channel, with variable Manning coefficient- For constant Manning coefficient see: piping-tools.net, document:Channel. 2.- Three channel types. Three_sizing_options. Constant_Manning_coefficientChannel. 3.- Channels resume. Constant_Manning_coefficient

cjc. 11.09.2013If the nominal diameter and/or the schedule are not standard values for carbon steel pipes according ASME 21.3, tabulated in sheet "6.CS_Imp", the message "N/A" will appear.

Values for "de" and "s" can be manualy input.cjc. 11.09.2013If the nominal diameter and/or the schedule are not standard values for carbon steel pipes according ASME 21.3, tabulated in sheet "6.CS_Imp", the message "N/A" will appear.

Values for "de" and "s" can be manualy input.Click on the plus sign (+) to Unhide or in the minus sign (-) to Hide the Equations and information

6.- Fittings and valvesRev. cjc. 30.01.2014Pressure loss coefficients for Valves and FittingsNominal diameter in Imperial UnitsNominal diameter in SI Units1.- Ball valvesK =Pipe_Valve_Ball_Imp_K_dnK =Pipe_Valve_Ball_SI_K_dndn =6indn =150mmK =0.05-K =0.05-2.- Butterfly valves Bray 2021K =Pipe_Valve_Butterfly_Bray2021_Imp_K_dnK =Pipe_Valve_Butterfly_Bray2021_SI_K_dndn =2indn =150mmK =0.27-K =0.16-2.- Butterfly valves Bray 3031K =Pipe_Valve_Butterfly_Bray3031_Imp_K_dnK =Pipe_Valve_Butterfly_Bray3031_SI_K_dndn =6indn =150mmK =0.35-K =0.35-3.- Knife valvesK =Pipe_Valve_Knife_Imp_K_dnK =Pipe_Valve_Knife_SI_K_dndn =2indn =150mmK =41.25-K =0.68-4.- Globe valvesk =Pipe_Valve_Globe_Imp_K_dnk =Pipe_Valve_Globe_SI_K_dnd =2ind =150mmk =7.64k =7.535.- Pinch valvesPipe_Valve_Pinch_Imp_K_dnk =Pipe_Valve_Pinch_SI_K_dnd =2ind =150mmK =0.31K =0.286.- Diaphragm valvesK =Pipe_Valve_Diaphragm_Weir_Imp_K_dnK =Pipe_Valve_Diaphragm_Weir_SI_K_dnWeir typedn =6indn =150mmUnlinedK =3.29K =3.296.- Diaphragm valvesK =Pipe_Valve_Diaphragm_Weir_Lined_Imp_K_dnK =Pipe_Valve_Diaphragm_Weir_Lined_SI_K_dnWeir typedn =6indn =150mmLinedK =5.14K =5.146.- Diaphragm valvesK =Pipe_Valve_Diaphragm_Straight_Thru_Imp_K_dnK =Pipe_Valve_Diaphragm_Straight_Thru_SI_K_dnStraight_Thrudn =6indn =150mmUnlinedK =0.43K =0.436.- Diaphragm valvesK =Pipe_Valve_Diaphragm_Straight_Thru_Lined_Imp_K_dnK =Pipe_Valve_Diaphragm_Straight_Thru_Lined_SI_K_dnStraight_Thrudn =6indn =150mmLinedK =0.76K =0.767.- Round plug valveK =Pipe_Valve_Plug_Round_Imp_K_dnK =dn =6indn =6mmK =0.30K =7.- Rectangular plug valveK =Pipe_Valve_Plug_Rectg_Imp_K_dnK =dn =6indn =150mmK =0.86K =8.- Check valvesK =Pipe_Valve_Check_Imp_K_dnK =Pipe_Valve_Check_SI_K_dndn =2indn =50mmK =3.03-K =3.03-9.- Angle valvesPipe_Valve_Angle_Imp_K_dndn =4inK =14.8410.- Cone valveK =Pipe_Valve_Cone_Imp_K_dndn =6inK =0.09-11.- StrainersK =Pipe_Y_strainer_Imp_K_dnK =Pipe_Y_strainer_SI_K_dndn =6indn =150mmK =2.67-K =2.67-12.- Expansion/ReductionGradual expansion (q = 30)Expansionb =0.7b =0.7K2_q = 30 =0.729K2_q = 30 =0.729Gradual reduction (q = 30)Reductionb =0.7b =0.7K2_q = 30 =0.700K2_q = 30 =0.440Gradual expansion (q = 45)Expansionb =0.7b =0.7K2_q = 45 =1.08K2_q = 45 =1.083Gradual reduction (q = 45)Reductionb =0.7b =0.7K2_q = 45 =0.65K2_q = 45 =0.650

7.- Widening and narrowingRev. cjc. 30.01.20147.- Widening and narrowing fittings[9]Abrupt and gradual narrowingAbrupt and gradual wideningIf q