*** CAMPOS AUXILIARES *** *** fluxo de calor na parede *** ponto x (m) q"_wc (W/m2) 2 1.250000000000000E-02 4.648258105777410E+06 3 3.750000000000001E-02 4.645873778293026E+06 4 6.250000000000000E-02 4.638918090975524E+06 5 8.750000000000001E-02 4.623594944628943E+06 6 1.125000000000000E-01 4.676392027166240E+06 7 1.375000000000000E-01 4.967123162814202E+06 8 1.625000000000000E-01 5.613228038779592E+06 9 1.875000000000000E-01 6.747737755281645E+06 10 2.125000000000000E-01 8.789848296251845E+06 11 2.375000000000000E-01 1.264455806347389E+07 12 2.625000000000000E-01 1.843806507501741E+07 13 2.875000000000000E-01 2.306200994841401E+07 14 3.125000000000000E-01 2.239564378504251E+07 15 3.375000000000000E-01 1.741760014925627E+07 16 3.625000000000000E-01 1.214963509394573E+07 17 3.875000000000000E-01 8.501385813723274E+06 18 4.125000000000000E-01 6.239148889688655E+06 19 4.375000000000000E-01 4.954186403555945E+06 20 4.625000000000000E-01 4.239673719476122E+06 21 4.875000000000000E-01 3.950201949651538E+06 3.950201949651538E+06 = mínimo 4.875000000000000E-01 = X (m) 2.306200994841401E+07 = máximo 2.875000000000000E-01 = X (m) *** fator de atrito de Darcy *** ponto x (m) f (adimensional) 2 1.250000000000000E-02 3.820457012578423E-03 3 3.750000000000001E-02 3.821798524100161E-03 4 6.250000000000000E-02 3.824480066900103E-03 5 8.750000000000001E-02 3.829573222242647E-03 6 1.125000000000000E-01 3.834247834166956E-03 7 1.375000000000000E-01 3.841473018889471E-03 8 1.625000000000000E-01 3.864429382676242E-03 9 1.875000000000000E-01 3.917976685863714E-03 10 2.125000000000000E-01 4.000244709883110E-03 11 2.375000000000000E-01 4.110971879786688E-03 12 2.625000000000000E-01 4.271725715930542E-03 13 2.875000000000000E-01 4.422709008055822E-03 14 3.125000000000000E-01 4.430922802364355E-03 15 3.375000000000000E-01 4.289668510996322E-03 16 3.625000000000000E-01 4.123933785630433E-03 17 3.875000000000000E-01 4.001495197960134E-03 18 4.125000000000000E-01 3.936771301833290E-03 19 4.375000000000000E-01 3.900932820400982E-03 20 4.625000000000000E-01 3.891559321047029E-03 21 4.875000000000000E-01 3.878962108987652E-03 3.820457012578423E-03 = mínimo 1.250000000000000E-02 = X (m) 4.430922802364355E-03 = máximo 3.125000000000000E-01 = X (m) *** coeficiente de convecção *** ponto x (m) h (W/m2.K) 2 1.250000000000000E-02 3.327206511979647E+04 3 3.750000000000001E-02 3.324753824600149E+04 4 6.250000000000000E-02 3.305242257026739E+04 5 8.750000000000001E-02 3.256097778570188E+04 6 1.125000000000000E-01 3.282803206232387E+04 7 1.375000000000000E-01 3.510962546014404E+04 8 1.625000000000000E-01 3.948073932554589E+04 9 1.875000000000000E-01 4.542559452527402E+04 10 2.125000000000000E-01 5.719782318133254E+04 11 2.375000000000000E-01 8.648565522301466E+04 12 2.625000000000000E-01 1.331311856838355E+05 13 2.875000000000000E-01 1.624557285943622E+05 14 3.125000000000000E-01 1.516240651810043E+05 15 3.375000000000000E-01 1.177918741460696E+05 16 3.625000000000000E-01 8.333028759330012E+04 17 3.875000000000000E-01 6.079852904757648E+04 18 4.125000000000000E-01 4.567016862681544E+04 19 4.375000000000000E-01 3.790008204164357E+04 20 4.625000000000000E-01 3.289266414032894E+04 21 4.875000000000000E-01 3.182136259114418E+04 3.182136259114418E+04 = mínimo 4.875000000000000E-01 = X (m) 1.624557285943622E+05 = máximo 2.875000000000000E-01 = X (m) *** temperatura da parede do lado do gás *** ponto x (m) T_wh (K) 2 1.250000000000000E-02 4.870518213292476E+02 3 3.750000000000001E-02 4.866921923573909E+02 4 6.250000000000000E-02 4.869122973309909E+02 5 8.750000000000001E-02 4.881567733429110E+02 6 1.125000000000000E-01 4.885055705016639E+02 7 1.375000000000000E-01 4.895339590316867E+02 8 1.625000000000000E-01 4.951490865423816E+02 9 1.875000000000000E-01 5.109722534172975E+02 10 2.125000000000000E-01 5.329579174060641E+02 11 2.375000000000000E-01 5.537451282398770E+02 12 2.625000000000000E-01 5.848496430175819E+02 13 2.875000000000000E-01 6.205181134991440E+02 14 3.125000000000000E-01 6.241752364989820E+02 15 3.375000000000000E-01 5.890863787612793E+02 16 3.625000000000000E-01 5.465025800131943E+02 17 3.875000000000000E-01 5.102430365304567E+02 18 4.125000000000000E-01 4.878012418007302E+02 19 4.375000000000000E-01 4.704185858754713E+02 20 4.625000000000000E-01 4.621858373037944E+02 21 4.875000000000000E-01 4.544796911562871E+02 4.544796911562871E+02 = mínimo 4.875000000000000E-01 = X (m) 6.241752364989820E+02 = máximo 3.125000000000000E-01 = X (m) *** temperatura da parede do lado do refrigerante ponto x (m) T_wc (K) 2 1.250000000000000E-02 4.515744513631049E+02 3 3.750000000000001E-02 4.512302969170956E+02 4 6.250000000000000E-02 4.514696408477566E+02 5 8.750000000000001E-02 4.527425678042740E+02 6 1.125000000000000E-01 4.528212077239834E+02 7 1.375000000000000E-01 4.514337432190599E+02 8 1.625000000000000E-01 4.515356212711732E+02 9 1.875000000000000E-01 4.572096678408960E+02 10 2.125000000000000E-01 4.615013894532312E+02 11 2.375000000000000E-01 4.531756763070673E+02 12 2.625000000000000E-01 4.445513598275593E+02 13 2.875000000000000E-01 4.472411839891213E+02 14 3.125000000000000E-01 4.523680136487143E+02 15 3.375000000000000E-01 4.518755184613578E+02 16 3.625000000000000E-01 4.490137080437880E+02 17 3.875000000000000E-01 4.422433304144259E+02 18 4.125000000000000E-01 4.382606069393528E+02 19 4.375000000000000E-01 4.317378389538662E+02 20 4.625000000000000E-01 4.294026253589588E+02 21 4.875000000000000E-01 4.242919773539119E+02 4.242919773539119E+02 = mínimo 4.875000000000000E-01 = X (m) 4.615013894532312E+02 = máximo 2.125000000000000E-01 = X (m) *** calor específico à pressão constante *** ponto x (m) cp (J/kg.K) 2 1.250000000000000E-02 4.167490869813740E+03 3 3.750000000000001E-02 4.167641775789164E+03 4 6.250000000000000E-02 4.167805723239522E+03 5 8.750000000000001E-02 4.167982843217090E+03 6 1.125000000000000E-01 4.168173249589451E+03 7 1.375000000000000E-01 4.168397787566631E+03 8 1.625000000000000E-01 4.168755146492014E+03 9 1.875000000000000E-01 4.169213481555811E+03 10 2.125000000000000E-01 4.169831443126318E+03 11 2.375000000000000E-01 4.170536871739499E+03 12 2.625000000000000E-01 4.171377566803362E+03 13 2.875000000000000E-01 4.172158010875810E+03 14 3.125000000000000E-01 4.172830458429330E+03 15 3.375000000000000E-01 4.173588000622231E+03 16 3.625000000000000E-01 4.174573046089042E+03 17 3.875000000000000E-01 4.175635318879805E+03 18 4.125000000000000E-01 4.176726844461811E+03 19 4.375000000000000E-01 4.177670634758118E+03 20 4.625000000000000E-01 4.178477847432473E+03 21 4.875000000000000E-01 4.179053131314635E+03 4.167490869813740E+03 = mínimo 1.250000000000000E-02 = X (m) 4.179053131314635E+03 = máximo 4.875000000000000E-01 = X (m) *** eficiência das aletas *** ponto x (m) eta (adimensional) 2 1.250000000000000E-02 5.450450610705962E-01 3 3.750000000000001E-02 5.452110380165486E-01 4 6.250000000000000E-02 5.464550115471447E-01 5 8.750000000000001E-02 5.496043051236613E-01 6 1.125000000000000E-01 5.478658981938610E-01 7 1.375000000000000E-01 5.336455204943235E-01 8 1.625000000000000E-01 5.089129200772835E-01 9 1.875000000000000E-01 4.796526378618859E-01 10 2.125000000000000E-01 4.333254111544257E-01 11 2.375000000000000E-01 3.575921134446788E-01 12 2.625000000000000E-01 2.900307545703245E-01 13 2.875000000000000E-01 2.627852830461392E-01 14 3.125000000000000E-01 2.718421551305157E-01 15 3.375000000000000E-01 3.078781255502870E-01 16 3.625000000000000E-01 3.640868420946851E-01 17 3.875000000000000E-01 4.219734368542369E-01 18 4.125000000000000E-01 4.790429212395667E-01 19 4.375000000000000E-01 5.180136695438466E-01 20 4.625000000000000E-01 5.480685896210539E-01 21 4.875000000000000E-01 5.552411411052498E-01 2.627852830461392E-01 = mínimo 2.875000000000000E-01 = X (m) 5.552411411052498E-01 = máximo 4.875000000000000E-01 = X (m) *** coeficiente de expansão térmica *** ponto x (m) compres (1/K) 2 1.250000000000000E-02 3.490019463743449E-04 3 3.750000000000001E-02 3.462421474533066E-04 4 6.250000000000000E-02 3.434863378733606E-04 5 8.750000000000001E-02 3.407338860048050E-04 6 1.125000000000000E-01 3.379845675600494E-04 7 1.375000000000000E-01 3.349687966812534E-04 8 1.625000000000000E-01 3.305694917174137E-04 9 1.875000000000000E-01 3.254793983782757E-04 10 2.125000000000000E-01 3.193417981904309E-04 11 2.375000000000000E-01 3.130822843973327E-04 12 2.625000000000000E-01 3.063864616192355E-04 13 2.875000000000000E-01 3.007349984703873E-04 14 3.125000000000000E-01 2.962111981221413E-04 15 3.375000000000000E-01 2.914308672873520E-04 16 3.625000000000000E-01 2.856312448351820E-04 17 3.875000000000000E-01 2.798132529849290E-04 18 4.125000000000000E-01 2.742255743550021E-04 19 4.375000000000000E-01 2.696642856561547E-04 20 4.625000000000000E-01 2.659360622836255E-04 21 4.875000000000000E-01 2.633666736842837E-04 2.633666736842837E-04 = mínimo 4.875000000000000E-01 = X (m) 3.490019463743449E-04 = máximo 1.250000000000000E-02 = X (m) *** condutividade térmica da parede do canal *** ponto x (m) k_wall (W/m.K) 2 1.250000000000000E-02 3.736235789166478E+02 3 3.750000000000001E-02 3.736410267735715E+02 4 6.250000000000000E-02 3.736296464245343E+02 5 8.750000000000001E-02 3.735671748935115E+02 6 1.125000000000000E-01 3.735564703633832E+02 7 1.375000000000000E-01 3.735646522736828E+02 8 1.625000000000000E-01 3.734202824302261E+02 9 1.875000000000000E-01 3.728730421002904E+02 10 2.125000000000000E-01 3.721842015712764E+02 11 2.375000000000000E-01 3.718349826464560E+02 12 2.625000000000000E-01 3.711929399392159E+02 13 2.875000000000000E-01 3.700931834466235E+02 14 3.125000000000000E-01 3.698481543800772E+02 15 3.375000000000000E-01 3.708819353969697E+02 16 3.625000000000000E-01 3.721381566836028E+02 17 3.875000000000000E-01 3.732634911586522E+02 18 4.125000000000000E-01 3.739281354771409E+02 19 4.375000000000000E-01 3.745101690203107E+02 20 4.625000000000000E-01 3.747629027615197E+02 21 4.875000000000000E-01 3.750642160372941E+02 3.698481543800772E+02 = mínimo 3.125000000000000E-01 = X (m) 3.750642160372941E+02 = máximo 4.875000000000000E-01 = X (m) *** número de Reynolds baseado no diâmetro *** ponto x (m) Re (adimensional) 2 1.250000000000000E-02 2.238436666030310E+05 3 3.750000000000001E-02 2.226165703789635E+05 4 6.250000000000000E-02 2.201984569827045E+05 5 8.750000000000001E-02 2.157291947453237E+05 6 1.125000000000000E-01 2.150514581944027E+05 7 1.375000000000000E-01 2.230649576962473E+05 8 1.625000000000000E-01 2.354162152430055E+05 9 1.875000000000000E-01 2.440159163699572E+05 10 2.125000000000000E-01 2.634901690265008E+05 11 2.375000000000000E-01 3.245834589486591E+05 12 2.625000000000000E-01 3.931326703453787E+05 13 2.875000000000000E-01 3.982741996217751E+05 14 3.125000000000000E-01 3.684379187819709E+05 15 3.375000000000000E-01 3.381718863411295E+05 16 3.625000000000000E-01 2.978236303120333E+05 17 3.875000000000000E-01 2.617430790876103E+05 18 4.125000000000000E-01 2.239106220681628E+05 19 4.375000000000000E-01 2.021333893537080E+05 20 4.625000000000000E-01 1.838278223437308E+05 21 4.875000000000000E-01 1.817936241046669E+05 1.817936241046669E+05 = mínimo 4.875000000000000E-01 = X (m) 3.982741996217751E+05 = máximo 2.875000000000000E-01 = X (m) *** número de Prandtl *** ponto x (m) Pr (adimensional) 2 1.250000000000000E-02 4.489516120558761E+00 3 3.750000000000001E-02 4.525431042645092E+00 4 6.250000000000000E-02 4.561760274759343E+00 5 8.750000000000001E-02 4.598517798625189E+00 6 1.125000000000000E-01 4.635712572241045E+00 7 1.375000000000000E-01 4.677072012822603E+00 8 1.625000000000000E-01 4.738477425501013E+00 9 1.875000000000000E-01 4.811151137942939E+00 10 2.125000000000000E-01 4.901173522024802E+00 11 2.375000000000000E-01 4.995773880669640E+00 12 2.625000000000000E-01 5.100208056362058E+00 13 2.875000000000000E-01 5.191058849680123E+00 14 3.125000000000000E-01 5.265628204530043E+00 15 3.375000000000000E-01 5.346265269470836E+00 16 3.625000000000000E-01 5.446713018948724E+00 17 3.875000000000000E-01 5.550460160746093E+00 18 4.125000000000000E-01 5.653012942580849E+00 19 4.375000000000000E-01 5.738914882229635E+00 20 4.625000000000000E-01 5.810630673040082E+00 21 4.875000000000000E-01 5.860860134316369E+00 4.489516120558761E+00 = mínimo 1.250000000000000E-02 = X (m) 5.860860134316369E+00 = máximo 4.875000000000000E-01 = X (m) *** número de Nusselt *** ponto x (m) Nu (adimensional) 2 1.250000000000000E-02 3.233115818300669E+02 3 3.750000000000001E-02 3.233185839000343E+02 4 6.250000000000000E-02 3.216660808718640E+02 5 8.750000000000001E-02 3.171256781918905E+02 6 1.125000000000000E-01 3.181231601040475E+02 7 1.375000000000000E-01 3.324791513367639E+02 8 1.625000000000000E-01 3.557338282439055E+02 9 1.875000000000000E-01 3.767322206221575E+02 10 2.125000000000000E-01 4.189689841163733E+02 11 2.375000000000000E-01 5.347490783569199E+02 12 2.625000000000000E-01 6.775795901201514E+02 13 2.875000000000000E-01 7.140682438194711E+02 14 3.125000000000000E-01 6.673615380208377E+02 15 3.375000000000000E-01 6.021982692139748E+02 16 3.625000000000000E-01 5.194859903059295E+02 17 3.875000000000000E-01 4.506374229483413E+02 18 4.125000000000000E-01 3.846060885964471E+02 19 4.375000000000000E-01 3.477610400295416E+02 20 4.625000000000000E-01 3.179713546881763E+02 21 4.875000000000000E-01 3.153123138514205E+02 3.153123138514205E+02 = mínimo 4.875000000000000E-01 = X (m) 7.140682438194711E+02 = máximo 2.875000000000000E-01 = X (m) *** viscosidade absoluta *** ponto x (m) mi (Pa.s) 2 1.250000000000000E-02 6.843874231437103E-04 3 3.750000000000001E-02 6.893139093434718E-04 4 6.250000000000000E-02 6.942912113078151E-04 5 8.750000000000001E-02 6.993210886003892E-04 6 1.125000000000000E-01 7.044046057024550E-04 7 1.375000000000000E-01 7.100500720873900E-04 8 1.625000000000000E-01 7.184178452098138E-04 9 1.875000000000000E-01 7.282999580010762E-04 10 2.125000000000000E-01 7.405098091995834E-04 11 2.375000000000000E-01 7.533039547481409E-04 12 2.625000000000000E-01 7.673854158191293E-04 13 2.875000000000000E-01 7.795997155690035E-04 14 3.125000000000000E-01 7.896007844919205E-04 15 3.375000000000000E-01 8.003914167613679E-04 16 3.625000000000000E-01 8.137984789823638E-04 17 3.875000000000000E-01 8.276064274478134E-04 18 4.125000000000000E-01 8.412167854988200E-04 19 4.375000000000000E-01 8.525883270373382E-04 20 4.625000000000000E-01 8.620620329024583E-04 21 4.875000000000000E-01 8.686867407974448E-04 6.843874231437103E-04 = mínimo 1.250000000000000E-02 = X (m) 8.686867407974448E-04 = máximo 4.875000000000000E-01 = X (m) *** condutividade térmica *** ponto x (m) k (W/m.K) 2 1.250000000000000E-02 6.352974932656640E-01 3 3.750000000000001E-02 6.348154282190228E-01 4 6.250000000000000E-02 6.343320801170946E-01 5 8.750000000000001E-02 6.338473453463058E-01 6 1.125000000000000E-01 6.333611906739048E-01 7 1.375000000000000E-01 6.328256527665451E-01 8 1.625000000000000E-01 6.320401725314649E-01 9 1.875000000000000E-01 6.311250502125969E-01 10 2.125000000000000E-01 6.300126025875199E-01 11 2.375000000000000E-01 6.288679179537224E-01 12 2.625000000000000E-01 6.276321030956677E-01 13 2.875000000000000E-01 6.265799122635933E-01 14 3.125000000000000E-01 6.257316459777742E-01 15 3.375000000000000E-01 6.248294546609550E-01 16 3.625000000000000E-01 6.237268575541282E-01 17 3.875000000000000E-01 6.226119147783398E-01 18 4.125000000000000E-01 6.215327588478350E-01 19 4.375000000000000E-01 6.206457650087372E-01 20 4.625000000000000E-01 6.199167199368616E-01 21 4.875000000000000E-01 6.194121615366812E-01 6.194121615366812E-01 = mínimo 4.875000000000000E-01 = X (m) 6.352974932656640E-01 = máximo 1.250000000000000E-02 = X (m) *** plinha *** ponto x (m) pl 1 0.000000000000000E+00 2.064732451471910E-11 2 1.250000000000000E-02 -2.064732451471910E-11 3 3.750000000000001E-02 -2.064732451471906E-11 4 6.250000000000000E-02 -2.064732451471901E-11 5 8.750000000000001E-02 -2.064732451471897E-11 6 1.125000000000000E-01 -6.285428469942015E-11 7 1.375000000000000E-01 -1.125610545538921E-10 8 1.625000000000000E-01 -1.125610545538920E-10 9 1.875000000000000E-01 7.533004946027388E-11 10 2.125000000000000E-01 1.989936723211677E-10 11 2.375000000000000E-01 1.989936723211678E-10 12 2.625000000000000E-01 3.192717458286547E-10 13 2.875000000000000E-01 3.834069148887874E-10 14 3.125000000000000E-01 4.484977546626176E-10 15 3.375000000000000E-01 5.126313147781779E-10 16 3.625000000000000E-01 5.126313147781780E-10 17 3.875000000000000E-01 5.126313147781781E-10 18 4.125000000000000E-01 5.950737305923470E-10 19 4.375000000000000E-01 6.577047828358634E-10 20 4.625000000000000E-01 6.804533885309836E-10 21 4.875000000000000E-01 6.804533885309836E-10 22 5.000000000000000E-01 6.804533885309836E-10 -1.125610545538921E-10 = mínimo 1.375000000000000E-01 = X (m) 6.804533885309836E-10 = máximo 5.000000000000000E-01 = X (m) *** velocidade nas faces *** ponto x (m) um 1 0.000000000000000E+00 -2.498495506277285E+01 2 2.500000000000000E-02 -2.498168098570810E+01 3 5.000000000000000E-02 -2.497843492783911E+01 4 7.500000000000001E-02 -2.497521817273084E+01 5 1.000000000000000E-01 -2.497203014468792E+01 6 1.250000000000000E-01 -2.573158886948901E+01 7 1.500000000000000E-01 -2.817904121217487E+01 8 1.750000000000000E-01 -3.285966683441010E+01 9 2.000000000000000E-01 -4.087154224471102E+01 10 2.250000000000000E-01 -5.405761923517807E+01 11 2.500000000000000E-01 -7.441935107218904E+01 12 2.750000000000000E-01 -9.945679586643969E+01 13 3.000000000000000E-01 -1.127727385147007E+02 14 3.250000000000000E-01 -9.941716764796988E+01 15 3.500000000000000E-01 -7.435473330111104E+01 16 3.750000000000000E-01 -5.398343500575254E+01 17 4.000000000000000E-01 -4.079548308352835E+01 18 4.250000000000000E-01 -3.278407486317750E+01 19 4.500000000000000E-01 -2.810388674037850E+01 20 4.750000000000000E-01 -2.565566715732625E+01 21 5.000000000000000E-01 -2.489286725701223E+01 -1.127727385147007E+02 = mínimo 3.000000000000000E-01 = X (m) -2.489286725701223E+01 = máximo 5.000000000000000E-01 = X (m) *** massa específica nas faces *** ponto x (m) rom 1 0.000000000000000E+00 9.923963286011460E+02 2 2.500000000000000E-02 9.925263911882264E+02 3 5.000000000000000E-02 9.926553743735863E+02 4 7.500000000000001E-02 9.927832262795912E+02 5 1.000000000000000E-01 9.929099689091481E+02 6 1.250000000000000E-01 9.930417233289762E+02 7 1.500000000000000E-01 9.932095025979484E+02 8 1.750000000000000E-01 9.934217685626238E+02 9 2.000000000000000E-01 9.936691425852928E+02 10 2.250000000000000E-01 9.939377785412103E+02 11 2.500000000000000E-01 9.942131725741783E+02 12 2.750000000000000E-01 9.944709044209171E+02 13 3.000000000000000E-01 9.946796110515536E+02 14 3.250000000000000E-01 9.948673058794843E+02 15 3.500000000000000E-01 9.950771907252215E+02 16 3.750000000000000E-01 9.953036513907271E+02 17 4.000000000000000E-01 9.955217408575918E+02 18 4.250000000000000E-01 9.957123535513546E+02 19 4.500000000000000E-01 9.958655101544990E+02 20 4.750000000000000E-01 9.959803889821382E+02 21 5.000000000000000E-01 9.960675650000001E+02 9.923963286011460E+02 = mínimo 0.000000000000000E+00 = X (m) 9.960675650000001E+02 = máximo 5.000000000000000E-01 = X (m)