{"text_format":"1","workbook":"xlsx","n_sheets":6,"sheets":["Sheet1","NPSHa","VP by Raoult's Law","Water Vapour Pressure","Pump Data","NPSHr"],"not_rendered":{"charts":1,"images":2,"macros":1,"external_links":2,"defined_names":4,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Sheet1","index":0,"n_rows":4,"n_cols":2,"rows_kept":4,"cut":false,"hidden":true,"merged":[]}
[]
[]
[null,true]
[null,false]

{"sheet":"NPSHa","index":1,"n_rows":88,"n_cols":9,"rows_kept":88,"cut":false,"hidden":false,"merged":[[37,2,37,8],[38,2,43,3],[53,6,53,8],[52,6,52,8],[48,6,48,8],[51,2,53,2],[49,6,49,8],[50,6,50,8],[51,6,51,8],[3,2,6,8],[11,2,16,8],[72,2,76,4],[55,6,57,8],[60,7,60,8],[61,7,61,8],[62,7,62,8],[63,7,63,8],[64,7,64,8],[59,6,59,8],[68,6,71,6],[67,6,67,10],[18,2,18,8],[24,2,24,8],[19,2,22,3],[25,2,35,3]]}
[]
[]
[]
[null,null,"System NPSHa Margin Calculator"]
[]
[]
[]
[]
[]
[null,null,"Section 1:"]
[]
[null,null,"This calculator has been arranged to introduce the required concepts to assist with assessing and understanding the requirements for succesful and reliable installation of the Hydra-cell pump range.\nThe formulas have been included to give a basis for understanding how the calculations in section 2 are arrived at, it is important to note the units in use for each element of the calculation if you plan to work through this by hand.\nThe Calculator in section 2 will generate the NPSHa for the system and assess this against the pump selected in terms of NPSHr for the pump selected."]
[]
[]
[]
[]
[]
[]
[null,null,"Calculating velocity: target velocity range is between 0.3 - 0.9 m/s."]
[null,null,null,null,"Where:",null,null,"Units"]
[null,null,null,null,null,"V","Velocity","m/s"]
[null,null,null,null,null,"LPM","Flow rate","Litres per minute."]
[null,null,null,null,null,"Pipe ID","Pipe internal diameter","mm^2"]
[]
[null,null,"Calculating Acceleration Head (Ha): Target acceleration head as low as possible, below 10m."]
[null,null,null,null,"Where:",null,null,"units"]
[null,null,null,null,null,"Ha","Acceleration head","m"]
[null,null,null,null,null,"L","Actual length of suction pipe.","m"]
[null,null,null,null,null,"V","Velocity","m/s"]
[null,null,null,null,null,"N","pump shaft rotational speed","RPM"]
[null,null,null,null,null,"C","Constant for pump type","Pump model","Constant"]
[null,null,null,null,null,null,null,"G03/ G10/ G04/ G25",6.6000000000000003E-2]
[null,null,null,null,null,null,null,"G15/ G35/ G66",0.04]
[null,null,null,null,null,null,null,"G20",0.628]
[null,null,null,null,null,"K","compressability constant","See table 1."]
[null,null,null,null,null,"G","Gravitational constant","m/s/s",9.81]
[]
[null,null,"Calculating Net Positive Suction Head available (NPSHa): NPSHa should always be greater than Net positive Suction Head Required (NPSHr)"]
[null,null,null,null,"Where:",null,null,"Units"]
[null,null,null,null,null,"Pt","atmospheric pressure ","m"]
[null,null,null,null,null,"Hz","Vertical distance from minimum liquid level to centreline of pump suction port","m"]
[null,null,null,null,null,"Hf","Friction loses in suction pipe","m","assumed zero with low viscosity fluids such as water"]
[null,null,null,null,null,"Ha","Acceleration head","m"]
[null,null,null,null,null,"Pvp","Absolute vapour pressure of liquid at maximum pumping temperature.","m"]
[]
[]
[null,null,"Section 2:"]
[]
[null,null,"Select Pump Model","T200K","Units",null,"Key"]
[null,null,"Vapour Pressure",0,"Bara",null,"Input Values"]
[null,null,"S.G",1,"g/cm^3",null,"Calculated Values"]
[null,null,"Flow Rate",{"$f":"$D$53/1000","v":16.452000000000005},"m3/hr",null,"Marginal Result"]
[null,null,null,{"$f":"$D$54*60","v":16452.000000000004},"l/hr",null,"Unacceptable result"]
[null,null,null,{"$f":"$D$55/$I$74","v":274.20000000000005},"L/min",null,"Good result"]
[null,null,"Pump Speed",300,"RPM"]
[null,null,"Suction Pipe ID",50,"mm",null,"Note: Operating Margin should be >= +1m for reliable operation.\nEnter Flow rate (any 1 unit) or pump speed, the remaining information will update automatically."]
[null,null,"Static head",null,"m"]
[null,null,"Suction Pipe Length",3,"m"]
[null,null,"Inlet Pressure (tank/atm)",1,"bara"]
[null,null,"Liquid Constant (TABLE 1)",2,"-",null,"TABLE 1 - Suggested Liquid Constants."]
[null,null,null,null,null,null,1.4,"Deaerated water"]
[null,null,"Fluid Velocity",{"$f":"21.23*D54/(D56^2)","v":2.3285064000000006},"m/s",null,1.5,"Water and most other low compressible liquids"]
[null,null,"Ha",{"$f":"D58*D55*D62*I73/(D60*9.81)","v":4.2724888073394505},"m",null,1.7,"Lightly compressible liquids"]
[null,null,"Pt",{"$f":"10.2*D59","v":10.199999999999999},"mwc",null,2,"Compressible liquids"]
[null,null,"Hz",{"$f":"D57*D51","v":0},"mwc",null,2.5,"Highly compressible Hydrocarbons"]
[null,null,"Hf",0,"mwc"]
[null,null,"Ha",{"$f":"IF(D82=TRUE,IF(D64*D84<1.4,1.4,D64*D84),D63*D51)","v":4.2724888073394505},"mwc"]
[null,null,"Pvp",{"$f":"10.2*D50","v":0},"mwc",null,"Pump Data"]
[null,null,"NPSHa",{"$f":"D64+D65-D66-D67-D68","v":5.9275111926605488},"mwc",null,"NPSHr Regression","x3",{"$f":"VLOOKUP($D$49,'Pump Data'!$A$3:$H$43,2,FALSE)","v":1.1320296E-8}]
[null,null,"NPSHr",{"$f":"($I$69*$I$76^3)+($I$70*$I$76^2)+($I$71*$I$76)+$I$72","v":5.1986477839988501},"mwc",null,null,"x2",{"$f":"VLOOKUP($D$49,'Pump Data'!$A$3:$H$43,3,FALSE)","v":-4.6413749859999998E-6}]
[null,null,"Operating Margin",{"$f":"D69-D70","v":0.72886340866169874},"mwc",null,null,"x",{"$f":"VLOOKUP($D$49,'Pump Data'!$A$3:$H$43,4,FALSE)","v":1.9492814443949999E-3}]
[null,null,null,null,null,null,null,"c",{"$f":"VLOOKUP($D$49,'Pump Data'!$A$3:$H$43,5,FALSE)","v":4.7259391074203503}]
[null,null,"Note:\nIf the Ha figure above is high and changes to the pipeline inside diameter or length are not possible it may be possible to reduce Ha thorugh the use of a suction stabiliser, please select true below to see change to margin with the use of a suction stabiliser.",null,null,null,null,"Pump Constant",{"$f":"VLOOKUP($D$49,'Pump Data'!$A$3:$H$43,7,FALSE)","v":0.04}]
[null,null,null,null,null,null,null,"Delivery Constant (Rev/ litre)",{"$f":"VLOOKUP($D$49,'Pump Data'!$A$3:$H$43,8,FALSE)","v":1.0940919037199124}]
[null,null,null,null,null,null,null,"NPSHr (mwc)",{"$f":"($I$69*$D$55^3)+($I$70*$D$55^2)+($I$71*$D$55)+$I$72","v":5.1986477839988501}]
[null,null,null,null,null,null,null,"Offset RPM",{"$f":"IF(D55<VLOOKUP(NPSHa!D49,'Pump Data'!A3:H43,6,FALSE),0,NPSHa!D55-VLOOKUP(NPSHa!D49,'Pump Data'!A3:H43,6,FALSE))","v":300}]
[null,null,null,null,null,null,null,"Max RPM",{"$f":"VLOOKUP($D$49,'Pump Data'!$A$3:$I$43,9,FALSE)","v":400}]
[null,null,null,null,null,null,null,"Diaphragms",{"$f":"IF(I73=0.628,1,IF(I73=0.066,3,IF(I73=0.04,5)))","v":5}]
[null,null,null,null,null,null,null,"Dampener const",{"$f":"IF(I73=0.628,1,IF(I73=0.066,7,IF(I73=0.04,9)))","v":9}]
[null,null,null,null,null,null,null,"Displ/stroke",{"$f":"1/(I74*I78)","v":0.18280000000000002}]
[]
[null,null,"Use Inlet Stabiliser?",false]
[null,null,"Pre-Charge",0.5]
[null,null,"Level of Dampening",6.4999999999999997E-3]
[null,null,"Volume required",{"$f":"I80/(D83*D84*I79)","v":6.2495726495726505},"Litres"]
[null,null,"Residual pulsation",{"$f":"2*D67/10.2","v":0.83774290339989232},"bar peak-peak"]
[null,null,"API limit",{"$f":"3500/(100*(D56*D55*I78*2/60)^0.5)","v":0.7},"bar peak-peak"]
[null,null,"Acceptable acc to API674?",{"$f":"D86<D87","v":false}]

{"sheet":"VP by Raoult's Law","index":2,"n_rows":12,"n_cols":7,"rows_kept":12,"cut":false,"hidden":true,"merged":[]}
[]
[]
[null,null,"Molecular weight","Weight","Mole","Mole","Pvp"]
[null,null,"g/mol",null,null,"%","kPa"]
[null,"DMSO",78.13,0.7,{"$f":"D5/C5","v":8.9594265966978105E-3},{"$f":"E5/$E$8","v":0.54440520169376583},0.13300000000000001]
[null,"ACN",41.052999999999997,0.3,{"$f":"D6/C6","v":7.3076267264268148E-3},{"$f":"E6/$E$8","v":0.44403622921241803},12.7]
[null,"DEA",105.14,0.02,1.9022256039566293E-4,1.1558569093816118E-2,35.700000000000003]
[null,null,null,{"$f":"SUM(D5:D7)","v":1.02},{"$f":"SUM(E5:E7)","v":1.6457275883520289E-2}]
[]
[]
[]
[null,null,"Pvp by Raoult's law",{"$f":"(F5*G5)+(F6*G6)+(F7*G7)","v":6.1243069194722155},"kPa"]

{"sheet":"Water Vapour Pressure","index":3,"n_rows":9,"n_cols":10,"rows_kept":9,"cut":false,"hidden":false,"merged":[[5,6,5,7],[6,3,6,5]]}
[]
[]
[null,null,"Temperature",30,"°C"]
[]
[]
[null,null,null,null,null,null,"Antoine valid"]
[null,null,"Liquid","Antoine Coefficients",null,null,"From","To","Data","PvP"]
[null,null,"Name","A","B","C","(DegC)","(DegC)","Source","(Bar)"]
[null,null,"Water",4.6543000000000001,1435.2639999999999,-64.847999999999999,1,100,"NIST",{"$f":"10^(D9-(E9/(D3+273.15+F9)))","v":4.2797802249416456E-2}]

{"sheet":"Pump Data","index":4,"n_rows":43,"n_cols":11,"rows_kept":43,"cut":false,"hidden":true,"merged":[[0,1,0,4]]}
[null,"NPSHr",null,null,null,"Offset","C","Revs/l","Max RPM"]
[null,"X3","X2","X","C"]
["G-20/21/22 Series X Cam",-2.4455157645428105E-11,1.1226919991605383E-6,-3.664089728807626E-5,2.3814056659119713,0,0.628,500,1750]
["G-03 / G-13 Series X Cam",1.3104850547240705E-11,1.013698487496906E-6,4.6064593822589474E-5,1.5428401606925757,0,6.6000000000000003E-2,149.25373134328359,1750]
["G-04 / D-04 X Cam",4.2762082646155429E-12,5.4236598764187898E-7,3.2575170432596271E-5,1.8201592081215541,0,6.6000000000000003E-2,156.25,1750]
["G-10 / D-10 X Cam",2.5252525252525136E-11,9.053030303030304E-7,3.0158730158730005E-5,3.5028787878787875,0,6.6000000000000003E-2,47.393364928909953,1450]
["G-25 / H-25 X Cam",-6.9444444444445023E-11,2.0982142857142861E-6,-4.3055555555556013E-5,4.2511904761904766,0,6.6000000000000003E-2,13.869625520110958,1050]
["G-15 / D-15 X Cam",4.7348484848493495E-12,9.4318181818181598E-7,-9.2261904761897282E-6,3.1993939393939401,0,0.04,29.498525073746315,1450]
["G-35 / D-35 X Cam",4.2939999999999999E-10,1.606E-6,2.1120000000000001E-4,4.9290000000000003,0,0.04,7.6103500761035017,1050]
["G-66",-4.0844513144863366E-24,1.0892857142857213E-6,1.4178571428571395E-3,2.0920000000000001,0,0.04,{"$f":"1/0.248","v":4.032258064516129},1000]
["G-20/21/22 Series E Cam",4.1835693467636485E-13,7.9188320534309456E-7,-1.3001176545614087E-6,2.3814868715765614,0,0.628,659,1750]
["G-03 / G-13 Series E Cam",9.274299282292502E-12,7.5492706029302223E-7,6.4539951159158998E-6,1.5498894859897741,0,6.6000000000000003E-2,212.7659574468085,1750]
["G-04 / D-04 E Cam",1.853077100618035E-11,3.5074465564444286E-7,4.2536099948649259E-5,1.8198531553840487,0,6.6000000000000003E-2,227.27272727272725,1750]
["G-10 / D-10 E Cam",2.7351056493687549E-11,8.1225274090560562E-7,5.9867679618319732E-5,3.5033833370109968,0,6.6000000000000003E-2,52.356020942408378,1750]
["G-25 / H-25 E Cam",4.1955560616782859E-24,1.857142857142849E-6,-2.1428571428567772E-5,4.2442857142857147,0,6.6000000000000003E-2,15.15151515151515,1150]
["G-15 / D-15 E Cam",2.7104815486054729E-13,9.3558630205327314E-7,2.4440552284993999E-6,2.7505877383923263,0,0.04,31.847133757961785,1750]
["G-35 / D-35 E Cam",-3.5260000000000003E-11,2.7039999999999999E-6,1.9740000000000001E-5,4.0999999999999996,0,0.04,8.9285714285714288,1150]
["G-20/21/22 Series S Cam",1.1334698759621798E-12,6.6501704542142333E-7,-9.7076943804843205E-6,2.3780639574904998,0,0.628,906,1750]
["G-03 / G-13 Series S Cam",1.426448734372867E-12,9.7644810143981951E-7,9.3109910810116272E-5,3.0269772709770009,0,6.6000000000000003E-2,270.27027027027026,1750]
["G-04 / D-04 S Cam",1.853077100618035E-11,3.5074465564444286E-7,4.2536099948649259E-5,1.8198531553840487,0,6.6000000000000003E-2,285.71428571428572,1750]
["G-10 / D-10 S Cam",3.3507340275047924E-11,4.6981403485114552E-7,7.5158780327558877E-5,3.5022616103236563,0,6.6000000000000003E-2,76.92307692307692,1750]
["G-25 / H-25 S Cam",2.5173336370069714E-24,1.5952380952380893E-6,-7.1428571428568114E-5,4.2476190476190485,0,6.6000000000000003E-2,18.691588785046729,1150]
["G-10 / D-10 I Cam",-1.3608408323322825E-11,2.2273421001198727E-7,1.1443492249799845E-7,3.5035718596145999,0,6.6000000000000003E-2,116.27906976744185,1750]
["G-25 / H-25 I Cam",6.9444444444442231E-11,1.1250000000000036E-6,-3.3730158730159846E-5,4.2473809523809525,0,6.6000000000000003E-2,25.706940874035993,1150]
["G-20/21/22 Series B Cam",-9.4564624235020644E-12,5.2409219055526147E-7,-1.0457716422758091E-5,2.3761359172820438,0,0.628,1400,1750]
["G-03 / G-13 Series B Cam",3.0145669660204585E-11,7.0547144450856898E-7,1.1423887746539859E-4,3.0197158550660683,0,6.6000000000000003E-2,476.1904761904762,1750]
["G-20/21/22 Series G Cam",-8.5441939681495055E-12,3.9302910761519633E-7,-1.9256442296997299E-5,2.3788974525322653,0,0.628,2302,1750]
["G-03 / G-13 Series G Cam",2.2893446328499455E-11,5.1392605254058365E-7,8.5788505696854494E-5,3.0177764665378737,0,6.6000000000000003E-2,769.23076923076928,1750]
["T100E",0,6.6409369720000001E-6,6.0493441609999997E-5,3.63830906296656,0,6.6000000000000003E-2,{"$f":"450/366","v":1.2295081967213115},450]
["T100F",0,6.6409369720000001E-6,6.0493441609999997E-5,3.63830906296656,0,6.6000000000000003E-2,{"$f":"450/290","v":1.5517241379310345},450]
["T100H",0,6.6409369720000001E-6,6.0493441609999997E-5,3.63830906296656,0,6.6000000000000003E-2,{"$f":"450/258","v":1.7441860465116279},450]
["T100K",0,6.6409369720000001E-6,6.0493441609999997E-5,3.63830906296656,0,6.6000000000000003E-2,{"$f":"1/0.384","v":2.6041666666666665},450]
["T100M",0,6.6409369720000001E-6,6.0493441609999997E-5,3.63830906296656,0,6.6000000000000003E-2,{"$f":"1/0.327","v":3.0581039755351682},450]
["T100S",0,6.6409369720000001E-6,6.0493441609999997E-5,3.63830906296656,0,6.6000000000000003E-2,{"$f":"1/0.222","v":4.5045045045045047},450]
["Q155E",{"$f":" -0.00000000124341","v":-1.2434099999999999E-9},2.846483604E-6,7.5016027807399996E-4,4.7686865212293297,0,0.04,{"$f":"1/1.323","v":0.75585789871504161},450]
["Q155F",{"$f":" -0.00000000124341","v":-1.2434099999999999E-9},2.846483604E-6,7.5016027807399996E-4,4.7686865212293297,0,0.04,{"$f":"1/1.068","v":0.93632958801498123},450]
["Q155H",-1.2434099999999999E-9,2.846483604E-6,7.5016027807399996E-4,4.7686865212293297,0,0.04,{"$f":"1/0.936","v":1.0683760683760684},450]
["Q155K",-1.2434099999999999E-9,2.846483604E-6,7.5016027807399996E-4,4.7686865212293297,0,0.04,1.5290519877675841,450]
["Q155M",-1.2434099999999999E-9,2.846483604E-6,7.5016027807399996E-4,4.7686865212293297,0,0.04,1.779359430604982,450]
["T200K",1.1320296E-8,-4.6413749859999998E-6,1.9492814443949999E-3,4.7259391074203503,0,0.04,{"$f":"1/0.914","v":1.0940919037199124},400,null,"0.000000011x3 - 0.000004641x2 + 0.001949281x + 4.725939107"]
["T200K",1.1320296E-8,-4.6413749859999998E-6,1.9492814443949999E-3,4.7259391074203503,0,0.04,{"$f":"1/0.8","v":1.25},400,null,"R² = 0.998494947"]
["T200P",1.1320296E-8,-4.6413749859999998E-6,1.9492814443949999E-3,4.7259391074203503,0,0.04,{"$f":"1/0.712","v":1.404494382022472},400]
["T200Q",1.1320296E-8,-4.6413749859999998E-6,1.9492814443949999E-3,4.7259391074203503,0,0.04,{"$f":"1/0.625","v":1.6},400]

{"sheet":"NPSHr","index":5,"n_rows":105,"n_cols":10,"rows_kept":105,"cut":false,"hidden":true,"merged":[]}
[null,"Max RPM",{"$f":"NPSHa!I77","v":400}]
[]
[null,"Speed","Offset Speed","NPSHr"]
[null,"RPM","RPM","mwc"]
[0,0,{"$f":"IF(B5<$J$9,0,B5-$J$9)","v":0},{"$f":"($J$5*$C5^3)+($J$6*$C5^2)+($J$7*$C5)+$J$8","v":4.7259391074203503},null,null,null,null,"x3",{"$f":"NPSHa!I69","v":1.1320296E-8}]
[1,{"$f":"$C$1*A6/100","v":4},{"$f":"IF(B6<$J$9,0,B6-$J$9)","v":4},{"$f":"($J$5*$C6^3)+($J$6*$C6^2)+($J$7*$C6)+$J$8","v":4.733662695697098},null,null,null,null,"x2",{"$f":"NPSHa!I70","v":-4.6413749859999998E-6}]
[2,8,8,4.7412421069679587,null,null,null,null,"x",{"$f":"NPSHa!I71","v":1.9492814443949999E-3}]
[3,12,12,4.7486816882265943,null,null,null,null,"c",{"$f":"NPSHa!I72","v":4.7259391074203503}]
[4,16,16,4.7559857864666704,null,null,null,null,"Offset",{"$f":"VLOOKUP(NPSHa!D49,'Pump Data'!A3:F43,6,FALSE)","v":0}]
[5,20,20,4.7631587486818505]
[6,24,24,4.7702049218657985]
[7,28,28,4.7771286530121779]
[8,32,32,4.7839342891146543]
[9,36,36,4.7906261771668905]
[10,40,40,4.7972086641625502]
[11,44,44,4.8036860970952979]
[12,48,48,4.8100628229587983]
[13,52,52,4.8163431887467141]
[14,56,56,4.8225315414527099]
[15,60,60,4.8286322280704503]
[16,64,64,4.8346495955935982]
[17,68,68,4.840587991015818]
[18,72,72,4.8464517613307745]
[19,76,76,4.8522452535321303]
[20,80,80,4.8579728146135501]
[21,84,84,4.8636387915686985]
[22,88,88,4.8692475313912382]
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