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["Pine Rotating Cylinder Calculation Worksheet"]
["Pine Research Instrumentation makes this worksheet available for users of our 15-mm RCE electrode products.  For general efficiency and applicability across a wide range of research, we make some assumptions to generate the worksheet values.  These assumptions will be clearly noted.  Users should refer to our Technical Note (LMENCN200601) for \"Study of Mass Transport Limited Corrosion Using Pine Rotating Cylinder Electrodes.\"  This technical note reviews the theory and practice in these types of calculations.  Users are cautioned to verify all calculations for their specific system outside of this calculation worksheet.  Additionally, the user is reminded the maximum rotation rate for the 12-mm Pine RCE is 2000 RPM and the maximum rotation rate for the Pine 15-mm RCE is 4000 RPM.                                                   For your safety, do not rotate faster than rated."]
[]
["Values that appearlike this are automatically filled based on your input, or are constants.  Do not edit them."]
["Cells that appear like this require user input."]
[]
["VARIABLES"]
[]
["Term",null,"Value","Unit","Symbol","Notes"]
["Concentration",null,9.9999999999999995E-7,"mol / cm3","C","bulk concentration, assume 1 x 10-6 for pure water"]
["Density",null,0.99712999999999996,"g / cm3","ρ","of the solution, 0.99713 for pure water at STP"]
["Absolute Viscosity",null,8.9356453020167908E-3,"g / cm s","μ","Also called dynamic viscosity, assume 0.00891 for pure water at STP"]
["Kinemtic Viscosity",null,{"$f":"IF(OR($C$15=\"\",$C$15=\"***\"),\"***\",Absolute_Viscosity/Density)","v":8.9613644178961529E-3},"cm2 / s","νk ","Absolute viscosity divided by density, assume 0.00894 for pure water at STP"]
["Diffusion Coefficient",null,1.0000000000000001E-5,"cm2 / s","D","For the bulk species, assume 1 x 10-5 for pure water at STP"]
["Number of electrons",null,1,"-","z","Number of electrons transferred per reaction, if in the bulk"]
[]
["SELECT RCE SIZE",null,null,null,null,null,null,null,null,null,null,null,null,"TABLE 1.  HYDRODYNAMIC COMPUTATIONS FOR A TYPICAL* ROTATING CYLINDER ELECTRODE IN WATER"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"*These quantities assume a typical Pine RCE tip (either 12-mm or 15-mm diameter) rotated in water at 25 degrees C.                                                                                                                                                                                               For pure water at 25 degrees C, the density is 0.997 g / cm3 and the absolute viscosity is 0.00891 g / cm s.                                                                                                                                                                                                         Computations assume a diffusion coefficient, D = 1.0 x 10-5 cm2 / s and a bulk concentration, C = 1.0 x 10-6 mol / cm3"]
["Term",null,"Value","Unit","Symbol"]
["RCE Insert Diameter",null,{"$f":"IF($I$25=12,1.2,IF($I$25=15,1.5,\"***\"))","v":1.5},"cm","drce","Select 12 or 15 mm RCE from the dropdown menu"]
["RCE Insert Height",null,{"$f":"IF($I$25=12,0.795,IF($I$25=15,0.64,\"***\"))","v":0.64},"cm","hrce",null,null,null,15,"mm"]
["RCE Insert Radius",null,{"$f":"IF($I$25=12,0.6,IF($I$25=15,0.75,\"***\"))","v":0.75},"cm","rrce",null,null,null,null,null,null,null,null,"Rotation","Rotation","RCE","Reynolds","Wall Shear","Wall Shear","Mass Transfer","Limiting Current","Limiting"]
["RCE Insert Area",null,{"$f":"IF($I$25=12,2.9971,IF($I$25=15,3.0159,\"***\"))","v":3.0158999999999998},"cm2","Arce",null,null,null,null,null,null,null,null,"Rate","Rate","Surface Velocity","Number","Stress","Stress (Pa)","Coefficient","Current","Density"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"(RPM)","(radians / s)","(cm / s)","(unitless)","(g / cm s2)","(kg / m s2)","(cm / s)","(A)","(A / cm2)"]
["PHYSICAL CONSTANTS",null,null,null,null,null,null,null,null,null,null,null,null,1,{"$f":"2*PI()*N29/60","v":0.10471975511965977},{"$f":"IF($C$26=\"***\",\"***\",O29*$C$26)","v":7.8539816339744828E-2},{"$f":"IF(OR($C$24=(\"***\"),Kinematic_Viscosity=\"\"),\"***\",(P29*$C$24)/Kinematic_Viscosity)","v":13.146404834775737},{"$f":"IF(OR(Density=\"\",Q29=\"***\"),\"***\",0.0791*Density*(Q29^-0.3)*($C$26^2)*(O29^2))","v":2.2462905415422327E-4},{"$f":"IF(OR(Density=\"\",Q29=\"***\"),\"***\",0.0791*Density*(Q29^-0.3)*(O29^2)*($C$26^2)/10)","v":2.2462905415422323E-5},{"$f":"IF(OR($P$29=\"***\",Diffusion_Coefficient=\"\",Kinematic_Viscosity=\"\"),\"***\",0.0791*(P29^0.7)*($C$24^(-0.3))*(Kinematic_Viscosity^(-0.344))*(Diffusion_Coefficient^(0.644)))","v":3.5999404695035796E-5},{"$f":"IF($T$29=\"***\",\"***\",T29*$C$38*$C$27*Number_Electrons*Concentration)","v":1.0475434786737394E-5},{"$f":"IF(U29=\"***\",\"***\",U29/$C$26^2)","v":1.8622995176422036E-5}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,2,{"$f":"2*PI()*N30/60","v":0.20943951023931953},{"$f":"IF($C$26=\"***\",\"***\",O30*$C$26)","v":0.15707963267948966},26.292809669551474,7.2982195011200954E-4,{"$f":"IF(OR(Density=\"\",Q30=\"***\"),\"***\",0.0791*Density*(Q30^-0.3)*(O30^2)*($C$26^2)/10)","v":7.2982195011200967E-5},5.8481205461881481E-5,1.7017394016801838E-5,{"$f":"IF(U30=\"***\",\"***\",U30/$C$26^2)","v":3.0253144918758824E-5}]
["Term",null,"Value","Unit","Symbol","Notes",null,null,null,null,null,null,null,2.5,0.26179938779914941,0.19634954084936207,32.866012086939342,1.0665075719205244E-3,{"$f":"IF(OR(Density=\"\",Q31=\"***\"),\"***\",0.0791*Density*(Q31^-0.3)*(O31^2)*($C$26^2)/10)","v":1.0665075719205243E-4},6.8368070793775566E-5,1.9894364175249852E-5,3.5367758533777513E-5]
["Critical Reynolds Number",null,200,"-","REcrit","The minimum Reynolds number to ensure turbulent flow",null,null,null,null,null,null,null,5,0.52359877559829882,0.39269908169872414,65.732024173878685,3.4650933240980646E-3,{"$f":"IF(OR(Density=\"\",Q32=\"***\"),\"***\",0.0791*Density*(Q32^-0.3)*(O32^2)*($C$26^2)/10)","v":3.4650933240980644E-4},1.1106425867299392E-4,3.2318489950660668E-5,5.7455093245618967E-5]
["Critical Rotation Rate",null,{"$f":"IF(C24=\"***\",\"***\",(C32*Kinematic_Viscosity)/(C24*C26))","v":1.5931314520704272},"rad / s","ωcrit","The critical rotation rate to achieve RE = 200 with the given RCE size",null,null,null,null,null,null,null,10,1.0471975511965976,0.78539816339744828,131.46404834775737,1.125812142438659E-2,{"$f":"IF(OR(Density=\"\",Q33=\"***\"),\"***\",0.0791*Density*(Q33^-0.3)*(O33^2)*($C$26^2)/10)","v":1.1258121424386589E-3},1.8042442051333628E-4,5.2501541818078092E-5,9.3336074343249942E-5]
["Minimum Rotation Rate",null,{"$f":"IF(C24=\"***\",\"***\",(C33*30)/PI())","v":15.213284735530646},"RPM","υmax,RPM","Minimum rotation rate with the AFMSRCE rotator",null,null,null,null,null,null,null,20,2.0943951023931953,1.5707963267948966,262.92809669551474,3.6577744421709919E-2,{"$f":"IF(OR(Density=\"\",Q34=\"***\"),\"***\",0.0791*Density*(Q34^-0.3)*(O34^2)*($C$26^2)/10)","v":3.6577744421709925E-3},2.9310033584628505E-4,8.5289006308262075E-5,1.5162490010357701E-4]
["Maximum Rotation Rate",null,{"$f":"IF(I25=\"Select\",\"***\",IF(I25=12,2000,4000))","v":4000},"RPM","υmin,RPM","Maximum safety rotation rate with the AFMSRCE rotator",null,null,null,null,null,null,null,25,2.6179938779914944,1.9634954084936207,328.66012086939338,5.345199796133869E-2,{"$f":"IF(OR(Density=\"\",Q35=\"***\"),\"***\",0.0791*Density*(Q35^-0.3)*(O35^2)*($C$26^2)/10)","v":5.345199796133869E-3},3.426520426956589E-4,9.9708013457669849E-5,1.7725869059141306E-4]
["Silverman Constant",null,0.11849999999999999,"-","Ks","Constant used in calculating equivalent rotation rate",null,null,null,null,null,null,null,50,5.2359877559829888,3.9269908169872414,657.32024173878676,0.17366605373650387,{"$f":"IF(OR(Density=\"\",Q36=\"***\"),\"***\",0.0791*Density*(Q36^-0.3)*(O36^2)*($C$26^2)/10)","v":1.7366605373650389E-2},5.5663988559181607E-4,1.6197614573382421E-4,2.879575924156875E-4]
["Schmidt Value",null,{"$f":"IF(OR(Diffusion_Coefficient=\"\",Kinematic_Viscosity=\"***\"),\"***\",(Kinematic_Viscosity/(Diffusion_Coefficient)))","v":896.13644178961522},"-","Sc","Kinematic viscosity divided by product of diffusion constant and density",null,null,null,null,null,null,null,100,10.471975511965978,7.8539816339744828,1314.6404834775735,0.56424267325282418,{"$f":"IF(OR(Density=\"\",Q37=\"***\"),\"***\",0.0791*Density*(Q37^-0.3)*(O37^2)*($C$26^2)/10)","v":5.6424267325282419E-2},9.0426416195882678E-4,2.6313102504969111E-4,4.6778848897722862E-4]
["Faraday's Constant",null,96485,"C / mol","F","Factor to convert between current and mass, C = Coulomb",null,null,null,null,null,null,null,200,20.943951023931955,15.707963267948966,2629.2809669551471,1.83322985390422,{"$f":"IF(OR(Density=\"\",Q38=\"***\"),\"***\",0.0791*Density*(Q38^-0.3)*(O38^2)*($C$26^2)/10)","v":0.18332298539042199},1.4689814649802401E-3,4.2745761130456839E-4,7.5992464231923267E-4]
["Temperature",null,25,null,null,null,null,null,null,null,null,null,null,250,26.179938779914941,19.634954084936204,3286.6012086939336,2.678945899009392,{"$f":"IF(OR(Density=\"\",Q39=\"***\"),\"***\",0.0791*Density*(Q39^-0.3)*(O39^2)*($C$26^2)/10)","v":0.26789458990093917},1.7173282937537118E-3,4.9972383435320359E-4,8.8839792773902858E-4]
[null,null,null,null,null,null,null,null,null,null,null,null,null,500,52.359877559829883,39.269908169872409,6573.2024173878672,8.7039209047163553,{"$f":"IF(OR(Density=\"\",Q40=\"***\"),\"***\",0.0791*Density*(Q40^-0.3)*(O40^2)*($C$26^2)/10)","v":0.87039209047163535},2.7898080438636353E-3,8.1180376393943216E-4,1.4432066914478795E-3]
["MATHEMATICAL CONSTANTS",null,null,null,null,null,null,null,null,null,null,null,null,1000,104.71975511965977,78.539816339744817,13146.404834775734,28.279122450203968,{"$f":"IF(OR(Density=\"\",Q41=\"***\"),\"***\",0.0791*Density*(Q41^-0.3)*(O41^2)*($C$26^2)/10)","v":2.8279122450203968},4.5320565380042805E-3,1.3187791052616314E-3,2.344496187131789E-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,2000,{"$f":"2*PI()*N42/60","v":209.43951023931953},157.07963267948963,26292.809669551469,91.879139908118347,{"$f":"IF(OR(Density=\"\",Q42=\"***\"),\"***\",0.0791*Density*(Q42^-0.3)*(O42^2)*($C$26^2)/10)","v":9.1879139908118361},7.3623475668318419E-3,2.1423629770265843E-3,3.8086452924917056E-3]
["Term",null,"Value","Unit","Symbol","Notes",null,null,null,null,null,null,null,3000,314.15926535897933,235.61944901923448,39439.21450432721,183.05098132633498,{"$f":"IF(OR(Density=\"\",Q43=\"***\"),\"***\",0.0791*Density*(Q43^-0.3)*(O43^2)*($C$26^2)/10)","v":18.305098132633496},9.7786791671598452E-3,2.8454891624954026E-3,5.0586473999918273E-3]
["Cylinder Exponent",null,{"$f":"3/7","v":0.42857142857142855},"-","e_cyl","These exponential fits are based on theory (see Technical Note, Equation 8).  They are presented explicitly here to ease mathematical manipulation for the user.",null,null,null,null,null,null,null,4000,418.87902047863906,314.15926535897927,52585.619339102937,298.51620626207585,{"$f":"IF(OR(Density=\"\",Q44=\"***\"),\"***\",0.0791*Density*(Q44^-0.3)*(O44^2)*($C$26^2)/10)","v":29.851620626207584},1.1960168907933329E-2,3.4802789239094445E-3,6.1871625313945676E-3]
["Pipe Exponent",null,{"$f":"5/28","v":0.17857142857142858},"-","e_pipe",null,null,null,null,null,null,null,null,5000,523.59877559829886,392.69908169872417,65732.024173878701,436.22940399453768,{"$f":"IF(OR(Density=\"\",Q45=\"***\"),\"***\",0.0791*Density*(Q45^-0.3)*(O45^2)*($C$26^2)/10)","v":43.622940399453768},1.3982161758551279E-2,4.0686568269701134E-3,7.2331676923913131E-3]
["Viscosity Exponent",null,-0.25,"-","e_visc",null,null,null,null,null,null,null,null,7500,785.39816339744834,589.04862254808631,98598.036260818044,869.10065292793001,{"$f":"IF(OR(Density=\"\",Q46=\"***\"),\"***\",0.0791*Density*(Q46^-0.3)*(O46^2)*($C$26^2)/10)","v":86.910065292793007},1.8571124584796084E-2,5.4039950424856183E-3,9.6071022977522111E-3]
["Schmidt Exponent",null,-8.5699999999999998E-2,"-","e_sch",null,null,null,null,null,null,null,null,10000,1047.1975511965977,785.39816339744834,131464.0483477574,1417.3135150224623,{"$f":"IF(OR(Density=\"\",Q47=\"***\"),\"***\",0.0791*Density*(Q47^-0.3)*(O47^2)*($C$26^2)/10)","v":141.73135150224621},2.2714088789247591E-2,6.6095525153152665E-3,1.1750315582782696E-2]
["Velocity Exponent",null,{"$f":"5/4","v":1.25},"-","e_vel",null,null,null,null,null,null,null,null,20000,2094.3951023931954,1570.7963267948967,262928.0966955148,4604.8651958602995,{"$f":"IF(OR(Density=\"\",Q48=\"***\"),\"***\",0.0791*Density*(Q48^-0.3)*(O48^2)*($C$26^2)/10)","v":460.48651958602989},3.6899146100229319E-2,1.0737249738814418E-2,1.9088443980114521E-2]
[]
[null,null,null,null,null,null,null,null,null,null,"PIPE VELOCITIES",null,null,null,"TABLE 2.  ROTATION RATE CORRELATION FOR WATER BETWEEN A TYPICAL* RCE AND A SMOOTH, STRAIGHT PIPE FLOW (Table Values in RPM)"]
[null,null,null,null,null,null,null,null,null,null,null,"Schedule 40 Type",null,null,"\"1 inch\"","\"2 inch\"","\"3 inch\"","\"4 inch\"","\"5 inch\"","\"6 inch\"","\"8 inch\"","\"10 inch\"","\"12 inch\"","\"14 inch\"","\"16 inch\"","\"18 inch\"","\"20 inch\"","\"24 inch\""]
[null,null,null,null,null,null,null,null,null,null,null,"Pipe ID (cm)",null,null,2.6640000000000001,5.25,7.7919999999999998,10.23,12.82,15.41,20.27,25.45,30.32,33.350200000000001,38.1,42.8752,47.7774,57.480199999999996]
[null,null,null,null,null,null,null,null,null,null,null,"PIPE VELOCITIES",null,null,"*These quantities assume a typical Pine RCE tip (either 12-mm or 15-mm diameter) rotated in water at 25 degrees C.  For pure water at 25 degrees C, the density is 0.997 g / cm3 and the absolute viscosity is 0.00891 g / cm s.                                                                                                                                                                 Computations assume a diffusion coefficient, D = 1.0 x 10-5 cm2 / s and a bulk concentration, C = 1.0 x 10-6 mol / cm3"]
[null,null,null,null,null,null,null,null,null,null,null,"(ft / s)","(cm / s)","(mi / hr)"]
[null,null,null,null,null,null,null,null,null,null,null,0.1,{"$f":"L55*12*2.54","v":3.0480000000000005},{"$f":"L55*60*60/5280","v":6.8181818181818177E-2},{"$f":"IF($C$37=\"***\",\"***\",(($C$36*($C$24^$C$44)*($O$52^((-1)*$C$45))*(Kinematic_Viscosity^$C$46)*($C$37^$C$47)*(M55^$C$48))*(60/(2*PI()*$C$26))))","v":11.015763485930913},{"$f":"IF($C$37=\"***\",\"***\",(($C$36*($C$24^$C$44)*($P$52^((-1)*$C$45))*(Kinematic_Viscosity^$C$46)*($C$37^$C$47)*($M55^$C$48))*(60/(2*PI()*$C$26))))","v":9.7589474827801101},{"$f":"IF($C$37=\"***\",\"***\",(($C$36*($C$24^$C$44)*(Q$52^((-1)*$C$45))*(Kinematic_Viscosity^$C$46)*($C$37^$C$47)*($M55^$C$48))*(60/(2*PI()*$C$26))))","v":9.0945210142440214},8.6629921705814166,8.3208119892195747,8.051841966973651,7.6671880587590842,7.3618536611185954,7.1352362451885911,7.0148920422931056,6.8500670914646857,6.7071415348099572,6.5787244083736178,6.3650697234642468]
[null,null,null,null,null,null,null,null,null,null,null,0.2,{"$f":"L56*12*2.54","v":6.096000000000001},{"$f":"L56*60*60/5280","v":0.13636363636363635},26.200048629312445,23.210819562920012,21.630538195361513,20.604183852936579,19.790337640359734,19.150615512005146,18.235749183080415,17.509537506822138,16.970547420007151,16.684319055341867,16.292297046831603,15.952360869052548,15.646931748159952,15.138772405264174]
[null,null,null,null,null,null,null,null,null,null,null,0.3,9.1439999999999984,0.20454545454545456,43.492680169993875,38.530491527565118,35.907188301290681,34.203416610339303,32.85241327702623,31.790459907402894,30.271760869657484,29.066232871672032,28.171496995708253,27.696351361587567,27.045585858173197,26.481284025473023,25.974264696710321,25.130708561045996]
[null,null,null,null,null,null,null,null,null,null,null,0.4,12.192000000000002,0.27272727272727271,62.314568486791273,55.204943538537627,51.446379846524039,49.005284073472701,47.069620660443896,45.548096447115974,43.372165351848558,41.64493316703976,40.362991474727131,39.682221859176032,38.74983113565991,37.941322093136542,37.214885125747536,36.006271713494009]
[null,null,null,null,null,null,null,null,null,null,null,0.5,15.24,0.34090909090909088,82.362042514540065,72.965151121885697,67.997404572202882,64.770973920039495,62.21258033425206,60.201560359499624,57.325601595296476,55.042694498413361,53.348334114841187,52.448551329207177,51.216197382526545,50.14757959778148,49.18743763025892,47.58999626685177]
[null,null,null,null,null,null,null,null,"GREEN CELLS                         Greater than MIN RPM           AND                                             Lesser than MAX RPM",null,null,0.6,18.287999999999997,0.40909090909090912,103.44360941738896,91.641469338265011,85.40216761527472,81.349892780835518,78.136647228098923,75.610882222184543,71.998786819715292,69.131541874636724,67.003489335148089,65.87339619763047,64.325606263913087,62.983462755000851,61.777560768583832,59.771234851711391]
[null,null,null,null,null,null,null,null,null,null,null,0.7,21.335999999999995,0.47727272727272729,125.42587886795056,111.11572669630809,103.55054305146103,98.637140131874048,94.741064291709378,91.678561953817507,87.298878733546658,83.822330310771733,81.2420562702019,79.871812851839906,77.995110039236408,76.367754515581083,74.905592499707566,72.472912580314016]
[null,null,null,null,null,null,null,null,null,null,null,0.8,24.384000000000004,0.54545454545454541,148.20985642563306,131.30022327870492,122.36080190923799,116.55486498580655,111.95105557975792,108.33224073948097,103.15697525898563,99.048901652112988,95.999913289079359,94.380761148097307,92.16314978336149,90.240180371535828,88.512412351095833,85.637829012816596]
[null,null,null,null,null,null,null,null,null,null,null,0.9,27.432000000000002,0.61363636363636365,171.71875837614942,152.1269358171439,141.76955220456128,135.04268326516558,129.70862213000899,125.51579443182315,119.51963342060509,114.75994121049921,111.22732530606257,109.35134484176032,106.78197813905153,104.55398920661705,102.55216431866943,99.22161739282609]
[null,null,null,null,null,null,null,null,null,null,null,1,30.48,0.68181818181818177,195.89105392889525,173.5413537227904,161.72599463796442,154.05220606273323,147.96728635234177,143.1842478275654,136.34402657787575,130.91432785286855,126.88443700582303,124.74438082455714,121.81333266136856,119.27171691569401,116.98810159731296,113.18872432698606]
[null,null,null,null,null,null,null,null,null,null,null,2,60.96,1.3636363636363635,465.91007019524818,412.75322518869291,{"$f":"IF($C$37=\"***\",\"***\",(($C$36*($C$24^$C$44)*(Q$52^((-1)*$C$45))*(Kinematic_Viscosity^$C$46)*($C$37^$C$47)*($M65^$C$48))*(60/(2*PI()*$C$26))))","v":384.65140700871859},366.39995906333559,351.92749943569993,340.55145254570755,324.2825729890601,311.36850027686057,301.78375054087877,296.69381046634493,289.72256380618586,283.67754874946763,278.24616558037167,269.20967261546696]
[null,null,null,null,null,null,null,null,"RED CELLS                                 Lesser than MIN RPM                  OR                                                                    Greater than MAX RPM",null,null,3,91.44,2.0454545454545454,773.42137633708342,685.1797974214827,638.53013628575764,608.23231511149731,584.20770100625145,565.32320289002496,538.31649060133907,516.87883443090936,500.96793057441403,492.51851359514694,480.94608464029307,470.91122133891366,461.89500101060895,446.89421593797022]
[null,null,null,null,null,null,null,null,null,null,null,4,121.92,2.7272727272727271,1108.1271408552125,981.69814426942742,914.86038002115106,871.45087650964865,837.02937258810061,809.97242078373358,771.27828613995871,740.56327183393842,717.76676667083836,705.66078076769202,689.08026851029194,674.70271867879615,661.78463966080631,640.29211620373292]
[null,null,null,null,null,null,null,null,null,null,null,5,152.4,3.4090909090909092,1464.6272437235709,1297.524258904278,1209.1838448683498,1151.8088929017435,1106.3135065379292,1070.5519523951366,1019.4093698501019,978.81290299591251,948.68244116299184,932.68178915098758,910.76709265836394,891.76408262022824,874.69007570463202,846.28310485171755]
[null,null,null,null,null,null,null,null,null,null,null,6,182.88,4.0909090909090908,1839.5164072705111,1629.6413802994985,1518.6891624293585,1446.6283934103374,1389.4879093520312,1344.5727503058872,1280.3396014928139,1229.3519749991001,1191.5092548545633,1171.4130412758248,1143.8890115738734,1120.0219499017132,1098.5776431720092,1062.8995624939917]
[null,null,null,null,null,null,null,null,null,null,null,7,213.36,4.7727272727272725,2230.4225787691275,1975.9480891555711,1841.417986067624,1754.0439536163572,1684.7608391512076,1630.3009906445159,1552.4179857135098,1490.5952409312704,1444.7107589452373,1420.3440023690925,1386.9709826649432,1358.0320544596493,1332.0307283899606,1288.7708822712334]
[null,null,null,null,null,null,null,null,null,null,null,8,243.84,5.4545454545454541,2635.5853604652839,2334.8848359003432,2175.9169463104936,2072.6711654412647,1990.8025706960671,1926.4499315039886,1834.4192510494879,1761.3662239492285,1707.1466916749187,1678.3536425346304,1638.9183162408501,1604.7225471290083,1573.9980041682863,1522.8798805392573]
[null,null,null,null,null,null,null,null,null,null,null,9,274.32,6.1363636363636367,3053.6393233775552,2705.2419767593992,2521.0587565580963,2401.4362312685189,2306.5817203831407,2232.0215287278934,2125.3930320726204,2040.7524055190809,1977.9326242547238,1944.5724499216849,1898.8819308790185,1859.26206243559,1823.6640226281827,1764.4375924042261]
[null,null,null,null,null,null,null,null,null,null,null,10,304.8,6.8181818181818183,3483.4902781257888,3086.0501611551995,2875.940063327575,2739.4786611243198,2631.2717867970282,2546.2159975367008,2424.5777514523629,2328.0225369984137,2256.3598178183597,2218.3036393836433,2166.1814133993366,2120.9843839116988,2080.3753229004337,2012.8117791925117]
[null,null,null,null,null,null,null,null,null,null,null,11,335.28000000000003,7.5,3924.2390875833216,3476.5128367643283,3239.8185466241712,3086.0913575933587,2964.1936022165773,2868.3761242874552,2731.3475920631431,2622.5757235008923,2541.8458746206538,2498.9746360024969,2440.2576423528076,2389.34205608814,2343.5949312773878,2267.4829062836161]
[null,null,null,null,null,null,null,null,null,null,null,12,365.76,8.1818181818181817,4375.1319993806728,3875.9622487100401,{"$f":"IF($C$37=\"***\",\"***\",(($C$36*($C$24^$C$44)*(Q$52^((-1)*$C$45))*(Kinematic_Viscosity^$C$46)*($C$37^$C$47)*($M75^$C$48))*(60/(2*PI()*$C$26))))","v":3612.0719148770345},3440.6815564170597,3304.7778160233852,3197.9509626050785,3045.1779274300079,2923.9082310231561,2833.902566929276,2786.1054465843758,2720.6419026741619,2663.8761435646788,2612.8726992861489,2528.0154445022704]
[null,null,null,null,null,null,null,null,null,null,null,13,396.24,8.8636363636363633,4835.5267841914774,4283.8294412158348,3992.1699489949465,3802.7441970398736,3652.5393170868924,3534.4710825631701,3365.6217533095951,3231.5908566031389,3132.1139037897137,3079.2870963544856,3006.934829037581,2944.1956137092834,2887.8250811334069,2794.0383043233614]
[null,null,null,null,null,null,null,null,null,null,null,14,426.72,9.545454545454545,5304.8688002699246,4699.6230529996701,4379.6547414511988,4171.843099336148,4007.0591539931402,3877.5310753408839,3692.2930281373951,3545.2529322093224,3436.1206273173129,3378.1663867375319,3298.791521774931,3229.9627631303542,3168.1208392071953,3065.2310056105689]
[null,null,null,null,null,null,null,null,null,null,null,15,457.2,10.227272727272727,5782.673562380478,5122.9138749580798,4774.1263053396333,4547.5972555066901,4367.9713683987429,4226.7768121883737,4024.854540659981,3864.5706755265223,3745.6089220768322,3682.4347951669474,3595.9107074998979,3520.8826044627012,3453.4706340669395,3341.3136056882799]
[null,null,null,null,null,null,null,null,null,null,null,16,487.68,10.909090909090908,6268.5137257246506,5553.3233191292957,5175.2318284148623,4929.6705940074662,4734.9531632749386,4581.8959304820937,4363.0088504920259,4189.2584912917955,4060.3019841863384,3991.8201863858299,3898.0266451637958,3816.6949413022103,3743.6192511140162,3622.0391784635553]
[null,null,null,null,null,null,null,null,null,null,null,17,518.16,11.590909090909092,6762.0091570458826,5990.5146226105935,5582.6574758805573,5317.7641712900258,5107.7174030670549,4942.6105763164014,4706.4913774100005,4519.0623357967679,4379.9535900777901,4306.0804896779864,4204.9029518491398,4117.1683228232432,4038.339670956027,3907.1880773648877]
[null,null,null,null,null,null,null,null,null,null,null,18,548.64,12.272727272727273,7262.8192200253643,6434.1860131326048,5996.1220212776007,5711.6101048996843,5486.0067864296952,5308.6717656049204,5055.0650318359321,4853.7545612044169,4704.3430995194412,4624.9987861702793,4516.3278055028668,4422.0953466060728,4337.4284621678353,4196.5634777307523]
[null,null,null,null,null,null,null,null,null,null,null,19,579.12,12.954545454545455,7770.6366842269299,6884.0653129479133,6415.3718177605879,6110.9667833615313,5869.5892453178258,5679.8549318958912,5408.5159753432335,5193.1298448864754,5033.2715102590591,4948.3794300189511,4832.1101572609596,4731.2889499907369,4640.7021436523746,4489.9878573086171]
[null,null,null,null,null,null,null,null,null,null,null,20,{"$f":"L83*12*2.54","v":609.6},{"$f":"L83*60*60/5280","v":13.636363636363637},{"$f":"IF($C$37=\"***\",\"***\",(($C$36*($C$24^$C$44)*($O$52^((-1)*$C$45))*(Kinematic_Viscosity^$C$46)*($C$37^$C$47)*(M83^$C$48))*(60/(2*PI()*$C$26))))","v":8285.1828475799884},7339.905617802111,6840.1767712610535,6515.6150304143366,6258.2542607298956,6055.9563612087877,5766.6502258088949,5537.0019297703957,5366.5582987116713,5276.0449423829159,5152.0766984022821,5044.5794403149084,4947.9942717385557,4787.30017795404]
[null,null,null,null,null,null,null,null,null,null,null,"Schedule 40 Type",null,null,"\"1 inch\"","\"2 inch\"","\"3 inch\"","\"4 inch\"","\"5 inch\"","\"6 inch\"","\"8 inch\"","\"10 inch\"","\"12 inch\"","\"14 inch\"","\"16 inch\"","\"18 inch\"","\"20 inch\"","\"24 inch\""]
[null,null,null,null,null,null,null,null,null,null,null,"Pipe ID (cm)",null,null,2.6640000000000001,5.25,7.7919999999999998,10.23,12.82,15.41,20.27,25.45,30.32,33.350200000000001,38.1,42.8752,47.7774,57.480199999999996]
[]
[]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND(A1>200,A1<300),A1,\"\")","v":""}]
[null,null,null,null,null,"Enter your own                                        pipe velocity in ft / s                        All other cells will                 automatically calculate",null,null,null,null,null,"Schedule 40 Type",null,null,"\"1 inch\"","\"2 inch\"","\"3 inch\"","\"4 inch\"","\"5 inch\"","\"6 inch\"","\"8 inch\"","\"10 inch\"","\"12 inch\"","\"14 inch\"","\"16 inch\"","\"18 inch\"","\"20 inch\"","\"24 inch\""]
[null,null,null,null,null,null,null,null,null,null,null,"Pipe ID (cm)",null,null,2.6640000000000001,5.25,7.7919999999999998,10.23,12.82,15.41,20.27,25.45,30.32,33.350200000000001,38.1,42.8752,47.7774,57.480199999999996]
[null,null,null,null,null,null,null,null,null,null,null,"PIPE VELOCITY"]
[null,null,null,null,null,null,null,null,null,null,null,"(ft / s)","(cm / s)","(mi / hr)"]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(L93=\"\",\"***\",L93*12*2.54)","v":"***"},{"$f":"IF(L93=\"\",\"***\",M93*60*60/5280)","v":"***"},{"$f":"IF($M$93=\"***\",\"***\",(($C$36*($C$24^$C$44)*(O$52^((-1)*$C$45))*(Kinematic_Viscosity^$C$46)*($C$37^$C$47)*($M$93^$C$48))*(60/(2*PI()*$C$26))))","v":"***"},"***","***","***","***","***","***","***","***","***","***","***","***","***"]
[]
[]
[]
[]
[null,null,null,null,null,"Based on the settings entered and data from Table 2, enter a rotation rate and pipe ID to get an estimate of pipe velocity.",null,null,null,null,null,"REVERSE CALCULATE"]
[null,null,null,null,null,null,null,null,null,null,null,"Pipe ID (cm)"]
[null,null,null,null,null,null,null,null,null,null,null,"Rate (RPM)"]
[null,null,null,null,null,null,null,null,null,null,null,"PIPE VELOCITY"]
[null,null,null,null,null,null,null,null,null,null,null,"(ft / s)","(cm / s)","(mi / hr)"]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(M103=\"***\",M103=\"\"),\"***\",M103/(2.54*12))","v":"***"},{"$f":"IF(OR(N99=\"\",N100=\"\"),\"***\",((N100/((60/(2*PI()*$C$26))*$C$36*($C$24^$C$44)*($N$99^((-1)*$C$45))*(Kinematic_Viscosity^$C$46)*($C$37^$C$47)))^(1/$C$48)))","v":"***"},{"$f":"IF(OR(M103=\"\",M103=\"***\"),\"***\",M103*60*60/(2.54*12*5280))","v":"***"}]

{"sheet":"ANSI Steel Pipe Values","index":1,"n_rows":26,"n_cols":9,"rows_kept":26,"cut":false,"hidden":false,"merged":[]}
["SOURCE","http://www.engineeringtoolbox.com/ansi-steel-pipes-d_305.html",null,null,null,null,null,null,"Cyl DIA"]
[null,null,null,null,null,null,null,null,12]
["size (in)","od (in)","id (in)","ID (cm)",null,null,null,null,15]
[0.125,0.41,0.27,{"$f":"C4*2.54","v":0.68580000000000008}]
[0.25,0.54,0.36,0.91439999999999999]
[0.375,0.68,0.49,1.2445999999999999]
[0.5,0.84,0.62,1.5748]
[0.75,1.05,0.82,2.0827999999999998]
[1,1.32,1.05,2.6670000000000003]
[1.25,1.66,1.38,3.5051999999999999]
[1.5,1.9,1.61,4.0894000000000004]
[2,2.38,2.0699999999999998,5.2577999999999996]
[2.5,2.88,2.4700000000000002,6.2738000000000005]
[3,3.5,3.07,7.7977999999999996]
[3.5,4,3.55,9.0169999999999995]
[4,4.5,4.03,10.2362]
[5,5.56,5.05,12.827]
[6,6.63,6.07,15.417800000000002]
[8,8.6300000000000008,7.98,20.269200000000001]
[10,10.75,10.02,25.450800000000001]
[12,12.75,11.94,30.3276]
[14,14,13.13,33.350200000000001]
[16,16,15,38.1]
[18,18,16.88,42.8752]
[20,20,18.809999999999999,47.7774]
[24,24,22.63,57.480199999999996]