{"text_format":"1","workbook":"xlsx","n_sheets":1,"sheets":["Wall Temperature Calculation"],"not_rendered":{"charts":2,"images":3,"macros":1,"external_links":0,"defined_names":20,"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":"Wall Temperature Calculation","index":0,"n_rows":69,"n_cols":20,"rows_kept":69,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,null,null,null,null,null,"Instantaneous wall temperature - heating a supercritical fluid in a heat exchanger"]
[null,null,null,null,null,null,null,null,"Version 1.0",null,null,null,null,null,"For Educational Use Only!"]
[null,null,null,null,null,null,null,null,"Report errors to R. L. Smith;  Email: smith@scf.che.tohoku.ac.jp"]
[null,null,null,null,null,null,null,null,"CO2 properties v7.0"]
[null,null,null,null,null,null,null,null,"H2O properties v7.0"]
[]
[null,null,null,null,null,null,null,null,null,null,null,"Fluid conditions",null,null,null,"Heat exchanger dimensions"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Flow at time t",null,null,"L [mm]:",2743]
[null,null,null,null,null,null,null,null,null,null,null,"Hot fluid (H2O)-Shell (annulus)",null,null,null,"Tube side"]
[null,null,null,null,null,null,null,null,null,null,null," mass flow rate [kg/s]:",{"$f":"N11/60","v":7.3388333333333333E-2},4.4032999999999998,"kg/min"," di [mm]:",10.922000000000001]
[null,null,null,null,null,null,null,null,null,null,null,"Thot [C]:",31.218,null,null," do [mm]:",12.7]
[null,null,null,null,null,null,null,null,null,null,null,"Phot [MPa]:",0.53100000000000003,null,null,"kw [W/(m K)]:",16]
[null,null,null,null,null,null,null,null,null,null,null,"H [kJ/kg]:",{"$f":"h_tp2(M12,M13*1000000)/1000","v":131.30378873741921},null,null,"dlnmean [mm]:",{"$f":"(Q12-Q11)/LN(Q12/Q11)","v":11.788661542879227}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Shell side"]
[null,null,null,null,null,null,null,null,null,null,null,"<v> [m/s]:",{"$f":"M11/(M19*M18)","v":0.83084823568659461},null,null," di [mm]:",16.561]
[null,null,null,null,null,null,null,null,null,null,null,"Lc [m]",{"$f":"4*M18/(PI()*(Q12+Q16)/1000)","v":3.8610000000000011E-3},null,null," do [mm]:",19.05]
[null,null,null,null,null,null,null,null,null,null,null,"Cross-sectional area [m2]:",{"$f":"PI()*(Q16^2-Q12^2)/4/1000000","v":8.8731709180065951E-5},null,null,"kw [W/(m K)]:",16]
[null,null,null,null,null,null,null,null,null,null,null,"r [kg/m3]:",{"$f":"rho_tp2(M12,M13*1000000)","v":995.46610183546977},null,null,"rH [mm]:"]
[null,null,null,null,null,null,null,null,null,null,null,"Cp [kJ/(kg K)]:",{"$f":"cp_tp2(M12,M13*1000000)/1000","v":4.1784562310537012},null,null,"dH [mm]:"]
[null,null,null,null,null,null,null,null,null,null,null,"m [Pa s]:",{"$f":"vmu_tp2(M12,M13*1000000)","v":7.7744507908490538E-4},null,null,"Inner wall properties"]
[null,null,null,null,null,null,null,null,null,null,null,"k [W/(m K)]:",{"$f":"k_tp2(M12,M13*1000000)","v":0.62266238597395418}]
[]
[null,null,null,null,null,null,null,null,null,null,null,"Re [-]:",{"$f":"M16*M17*M19/M21","v":4107.5065096315075}]
[null,null,null,null,null,null,null,null,null,null,null,"Pr [-]:",{"$f":"M20*1000*M21/M22","v":5.2171454518215352},null,null,"Local heat transfer coefficients"]
[null,null,null,null,null,null,null,null,null,null,null,"Nu, bulk [-]:",{"$f":"0.023*M24^0.8*M25^(1/3)","v":31.026640903107598},null,null,"hi [W/(m2 K)]:",null,"Tc [C]",{"$f":"co2_tc()","v":30.978200000000015}]
[null,null,null,null,null,null,null,null,null,null,null,"ho [W/(m2 K)]:",{"$f":"M26*M22/M17","v":5003.6576673105546},null,null,"ho [W/(m2 K)]:",null,"rhoc [kg/m3]",{"$f":"co2_rhoc()","v":467.6}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Pc [MPa]",{"$f":"co2_pc()/1000000","v":7.3773}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Resistances"]
[null,null,null,null,null,null,null,null,null,null,null,"Cold fluid (CO2)-Tube (tube)",null,null,null,null,"Cold fluid properties"]
[null,null,null,null,null,null,null,null,null,null,null," mass flow rate [kg/s]:",{"$f":"N31/60","v":3.4749999999999996E-2},2.085,"kg/min"]
[null,null,null,null,null,null,null,null,null,null,null,"Tcold [C]:",24.248000000000001,null,null,null,"T [C]","P [MPa]","Cp [kJ/(kg K)]","rho [kg/m3]"]
[null,null,null,null,null,null,null,null,null,null,null,"Pcold [MPa]:",8.5860000000000003,null,null,null,30,{"$f":"M33","v":8.5860000000000003},{"$f":"cp_tp1(Q33,R33*1000000)/1000","v":4.1835018795184125},{"$f":"rho_tp1(Q33,R33*1000000)","v":729.60239385462694}]
[null,null,null,null,null,null,null,null,null,null,null,"H [kJ/kg]:",{"$f":"H_TP1(M32,M33*1000000)/1000","v":258.22882423547884},null,null,null,30.5,{"$f":"R33","v":8.5860000000000003},{"$f":"cp_tp1(Q34,R34*1000000)/1000","v":4.3404607659378609},{"$f":"rho_tp1(Q34,R34*1000000)","v":722.00716339249379}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,31,{"$f":"R34","v":8.5860000000000003},4.5202029933089456,714.00691006322995]
[null,null,null,null,null,null,null,null,null,null,null,"<v> [m/s]:",{"$f":"M31/(M39*M38)","v":0.46445666733594992},null,null,null,31.5,8.5860000000000003,4.7280703765828749,705.54159165605097]
[null,null,null,null,null,null,null,null,null,null,null,"Lc [m]",{"$f":"4*M38/(PI()*Q11/1000)","v":1.0922000000000001E-2},null,null,null,32,8.5860000000000003,4.9710367028182842,696.53694495294519]
[null,null,null,null,null,null,null,null,null,null,null,"Cross-sectional area [m2]:",{"$f":"PI()*Q11^2/4/1000000","v":9.3690212885127338E-5},null,null,null,32.5,8.5860000000000003,5.2583513937595541,686.90013322655477]
[null,null,null,null,null,null,null,null,null,null,null,"r [kg/m3]:",{"$f":"rho_tp1(M32,M33*1000000)","v":798.57439576890977},null,null,null,33,8.5860000000000003,5.6025214577509121,676.51369428541511]
[null,null,null,null,null,null,null,null,null,null,null,"Cp [kJ/(kg K)]:",{"$f":"cp_tp1(M32,M33*1000000)/1000","v":3.1883737941965089},null,null,null,33.5,8.5860000000000003,6.0208290105241851,665.22693843909656]
[null,null,null,null,null,null,null,null,null,null,null,"m [Pa s]:",{"$f":"VMU_TP1(M32,M33*1000000)","v":7.1440618713198968E-5},null,null,null,34,8.5860000000000003,6.5376353878908828,652.84356562064181]
[null,null,null,null,null,null,null,null,null,null,null,"k [W/(m K)]:",{"$f":"k_TP1(M32,M33*1000000)","v":9.1706903938256257E-2},null,null,null,34.5,8.5860000000000003,7.1876345517246172,639.1040847239467]
[null,null,null,null,null,null,null,null,null,null,null,"Outside area [m2]:",{"$f":"PI()*Q12/1000*Q9/1000","v":0.10944083583971939},null,null,null,35,8.5860000000000003,8.0198122080664582,623.6624883110685]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,35.5,8.5860000000000003,9.1022154952667798,606.05943379707242]
[null,null,null,null,null,null,null,null,null,null,null,"Re [-]:",{"$f":"M36*M37*M39/M41","v":56704.502990584399},null,null,null,36,8.5860000000000003,10.536141345453343,585.69206882561002]
[null,null,null,null,null,null,null,null,null,null,null,"Pr [-]:",{"$f":"M40*1000*M41/M42","v":2.4837758856160481},"NuST [-]",null,null,36.5,8.5860000000000003,12.489389827602677,561.75688590727327]
[null,null,null,null,null,null,null,null,null,null,null,"Nu, bulk [-]:",{"$f":"0.023*M45^0.8*M46^0.4","v":210.21651747975847},{"$f":"0.027*M45^0.8*M46^(1/3)*(VMU_TP1(M32,M33*1000000)/VMU_TP1(M63,M33*1000000))^0.14","v":237.05089473776931},null,null,37,8.5860000000000003,14.970280185809376,533.34414736450867]
[null,null,null,null,null,null,null,null,null,null,null,"hi [W/(m2 K)]:",{"$f":"M47*M42/M37","v":1765.0893586111497},{"$f":"N47*M42/M37","v":1990.405020343738},null,null,37.5,8.5860000000000003,16.92966854820753,500.85341542216838]
[null,null,null,null,null,null,null,null,null,null,null,"Driving force",null,null,null,null,38,8.5860000000000003,17.219305566464616,467.57756056132791]
[null,null,null,null,null,null,null,null,null,null,null,"DT [C]:",{"$f":"M12-M32","v":6.9699999999999989},null,null,null,38.5,8.5860000000000003,16.268810609757729,436.76367026916631]
[null,null,null,null,null,null,null,null,null,null,null,"Resistances",null,"Heat flux q [W/m2]","Location",null,39,{"$f":"R50","v":8.5860000000000003},14.119823083196106,410.66122977914682]
[null,null,null,null,null,null,null,null,null,null,null,"Ri [(m2 K)/W]:",{"$f":"(1/(M48*2*PI()*Q11/2/1000*Q9/1000))*M43","v":6.5877157550219077E-4},{"$f":"(M63-M62)/M52","v":8115.8108115453242},1,null,39.5,8.5860000000000003,12.004427548422036,389.65471689348635]
[null,null,null,null,null,null,null,null,null,null,null,"Rw [(m2 K)/W]:",{"$f":"(LN(Q12/Q11)/(M27*2*PI()*Q9/1000))*M43","v":1.9140505076347056E-7},{"$f":"(M64-M63)/M53","v":8115.8642329451659},2,null,40,8.5860000000000003,10.326953542419691,372.67468095511498]
[null,null,null,null,null,null,null,null,null,null,null,"Ro [(m2 K)/W]:",{"$f":"(1/(M27*2*PI()*Q12/2/1000*Q9/1000))*M43","v":1.9985380025758158E-4},{"$f":"(M65-M64)/M54","v":8115.8382062516976},3]
[null,null,null,null,null,null,null,null,null,null,null,"Uo [W/(m2 K)]:",{"$f":"1/((M52+M53+M54))","v":1164.392711395576},{"$f":"(M65-M62)*M55","v":8115.8171984271639},4]
[null,null,null,null,null,null,null,null,null,null,null,"DTw,i [C]",{"$f":"M50/(1/M55)*(Q12/(Q11*M48))","v":5.3464696822956377}]
[null,null,null,null,null,null,null,null,null,null,null,"Tw [C]",{"$f":"M32+M56","v":29.594469682295639}]
[null,null,null,null,null,null,null,null,null,null,null,"DTw [C]:",{"$f":"M56/(Q12/(Q11*M48))*((Q12-Q11)/2/1000/Q18)*(Q12/Q14)","v":0.48579524158719029}]
[]
[]
[null,null,null,null,null,null,null,null,null,null,"Location"]
[null,null,null,null,null,null,null,null,null,null,1,"Tcold [C]:",{"$f":"M32","v":24.248000000000001}]
[null,null,null,null,null,null,null,null,null,null,2,"Tw,i [C]:",29.594465474799428]
[null,null,null,null,null,null,null,null,null,null,3,"Tw,o [C]:",29.596018892204924]
[null,null,null,null,null,null,null,null,null,null,4,"Thot [C]:",{"$f":"M12","v":31.218}]
[]
[null,null,null,null,null,null,null,null,null,null,null,"(qhot/L-qwo/L)^2",{"$f":"(N54-N55)^2","v":4.4132869163562952E-4}]
[null,null,null,null,null,null,null,null,null,null,null,"(qwo/L-qwi/L)^2",{"$f":"(N53-N54)^2","v":6.7738877289486097E-4}]
[null,null,null,null,null,null,null,null,null,null,null,"(qwi/L-qcold/L)^2",{"$f":"(N52-N53)^2","v":2.8538459610448299E-3}]