*** CAMPOS AUXILIARES *** *** Condições químicas na câmara *** modelo = 1 Número de espécies químicas = 3 Número de reações = 1 Temperatura (K) = 3.420330000E+03 pressão (atm) = 1.973846533E+01 razão O/F mássico (adim.) = 7.936682739E+00 razão de equivalência (adim.) = 1.000000000E+00 razão O/F molar (adim.) = 5.000000000E-01 Constante universal dos gases (J/mol.K) = 8.314510000E+00 itimax =5000 tol_e = 1.000000000E-12 itemax =5000 tol_n = 1.000000000E-12 número de moles do reagente O2 (mol) = 5.000000000E-01 número de moles do reagente H2 = 1 mol número de moles do produto H2O sem dissociação (mol) = 1.000000000E+00 número de moles do produto O2 sem dissociação (mol) = 0.000000000E+00 número de moles do produto H2 sem dissociação (mol) = 6.542655306E-12 número total inicial de moles dos produtos (mol) = 1.000000000E+00 reação taxa de dissociação 1 -6.279208324E-02 espécie número de moles (mol) H2O 8.744158335E-01 O2 6.279208324E-02 H2 1.255841665E-01 espécie fração mássica (adim.) H2O 8.744158335E-01 O2 1.115315062E-01 H2 1.405266027E-02 número total de moles (mol) = 1.062792083E+00 massa molecular (kg/kmol) = 1.695089781E+01 constante da mistura de gases (J/kg.K) = 4.905055822E+02 calor específico congelado à pressão constante (J/kg.K) = 3.227228625E+03 razão entre os calores específicos congelados (adim.) = 1.179230991E+00 espécie massa molecular (kg/kmol) H2O 1.801528000E+01 O2 3.199880000E+01 H2 2.015880000E+00 Coeficientes para calor específico, entalpia e energia livre Para temperatura menor do que 1000 K espécie a1 a2 a3 a4 a5 a6 a7 H2O 4.19864056E+00 -2.03643410E-03 6.52040211E-06 -5.48797062E-09 1.77197817E-12 -3.02937267E+04 -8.49032208E-01 O2 3.78245636E+00 -2.99673415E-03 9.84730200E-06 -9.68129508E-09 3.24372836E-12 -1.06394356E+03 3.65767573E+00 H2 2.34433112E+00 7.98052075E-03 -1.94781510E-05 2.01572094E-08 -7.37611761E-12 -9.17935173E+02 6.83010238E-01 Para temperatura maior ou igual a 1000 K espécie a1 a2 a3 a4 a5 a6 a7 H2O 2.67703787E+00 2.97318329E-03 -7.73769690E-07 9.44336689E-11 -4.26900959E-15 -2.98858938E+04 6.88255571E+00 O2 3.66096083E+00 6.56365523E-04 -1.41149485E-07 2.05797658E-11 -1.29913248E-15 -1.21597725E+03 3.41536184E+00 H2 2.93286579E+00 8.26607967E-04 -1.46402335E-07 1.54100359E-11 -6.88804432E-16 -8.13065597E+02 -1.02432887E+00 viscosidade absoluta (Pa.s) = 1.047171154E-04 condutividade térmica (W/m.K) = 5.275101793E-01 Coeficientes para viscosidade Para temperatura menor do que 1000 K espécie b1 b2 b3 b4 H2O 7.83877800E-01 -3.82604080E+02 4.90401580E+04 8.52227850E-01 O2 6.19363570E-01 -4.46086070E+01 -1.34607140E+03 1.95975620E+00 H2 6.88876440E-01 4.87271680E+00 -5.95650530E+02 5.55695770E-01 Para temperatura maior ou igual a 1000 K espécie b1 b2 b3 b4 H2O 5.07149930E-01 -6.89669130E+02 8.74547500E+04 3.02851550E+00 O2 6.38395630E-01 -1.23444380E+00 -2.28858100E+04 1.80569370E+00 H2 7.05043810E-01 3.62876860E+01 -7.22555500E+03 4.19216070E-01 Coeficientes para condutividade térmica Para temperatura menor do que 1000 K espécie c1 c2 c3 c4 H2O 1.55414430E+00 6.61063050E+01 5.59698860E+03 -3.92595980E+00 O2 8.15953430E-01 -3.43668560E+01 2.27850800E+03 1.00509990E+00 H2 9.37249450E-01 1.90133110E+02 -1.97019610E+04 1.75451080E+00 Para temperatura maior ou igual a 1000 K espécie c1 c2 c3 c4 H2O 7.93495030E-01 -1.33400630E+03 3.78643270E+05 2.35914740E+00 O2 8.08057880E-01 1.19821810E+02 -4.73359310E+04 9.51891930E-01 H2 7.43683970E-01 -5.49418980E+02 2.56763760E+05 3.55539970E+00 *** variação da entropia entre a estagnação e a entrada = 1.554312234475219E-14 *** entropia na estagnação = 1.557610526541598E+04 *** fluxo de calor na parede *** ponto x (m) q"_wh (W/m2) 2 2.500000000000000E-02 0.000000000000000E+00 3 7.500000000000001E-02 0.000000000000000E+00 4 1.250000000000000E-01 0.000000000000000E+00 5 1.750000000000000E-01 0.000000000000000E+00 6 2.250000000000000E-01 0.000000000000000E+00 7 2.750000000000000E-01 0.000000000000000E+00 8 3.250000000000000E-01 0.000000000000000E+00 9 3.750000000000000E-01 0.000000000000000E+00 10 4.250000000000000E-01 0.000000000000000E+00 11 4.750000000000000E-01 0.000000000000000E+00 0.000000000000000E+00 = mínimo 4.750000000000000E-01 = X (m) 0.000000000000000E+00 = máximo 4.750000000000000E-01 = X (m) *** fator de atrito de Darcy *** ponto x (m) f (adimensional) 2 2.500000000000000E-02 0.000000000000000E+00 3 7.500000000000001E-02 0.000000000000000E+00 4 1.250000000000000E-01 0.000000000000000E+00 5 1.750000000000000E-01 0.000000000000000E+00 6 2.250000000000000E-01 0.000000000000000E+00 7 2.750000000000000E-01 0.000000000000000E+00 8 3.250000000000000E-01 0.000000000000000E+00 9 3.750000000000000E-01 0.000000000000000E+00 10 4.250000000000000E-01 0.000000000000000E+00 11 4.750000000000000E-01 0.000000000000000E+00 0.000000000000000E+00 = mínimo 4.750000000000000E-01 = X (m) 0.000000000000000E+00 = máximo 4.750000000000000E-01 = X (m) *** coeficiente de convecção *** ponto x (m) h (W/m2.K) 2 2.500000000000000E-02 0.000000000000000E+00 3 7.500000000000001E-02 0.000000000000000E+00 4 1.250000000000000E-01 0.000000000000000E+00 5 1.750000000000000E-01 0.000000000000000E+00 6 2.250000000000000E-01 0.000000000000000E+00 7 2.750000000000000E-01 0.000000000000000E+00 8 3.250000000000000E-01 0.000000000000000E+00 9 3.750000000000000E-01 0.000000000000000E+00 10 4.250000000000000E-01 0.000000000000000E+00 11 4.750000000000000E-01 0.000000000000000E+00 0.000000000000000E+00 = mínimo 4.750000000000000E-01 = X (m) 0.000000000000000E+00 = máximo 4.750000000000000E-01 = X (m) *** temperatura da parede da tubeira *** ponto x (m) T_wall (K) 2 2.500000000000000E-02 6.000000000000000E+02 3 7.500000000000001E-02 6.000000000000000E+02 4 1.250000000000000E-01 6.000000000000000E+02 5 1.750000000000000E-01 6.000000000000000E+02 6 2.250000000000000E-01 6.000000000000000E+02 7 2.750000000000000E-01 6.000000000000000E+02 8 3.250000000000000E-01 6.000000000000000E+02 9 3.750000000000000E-01 6.000000000000000E+02 10 4.250000000000000E-01 6.000000000000000E+02 11 4.750000000000000E-01 6.000000000000000E+02 6.000000000000000E+02 = mínimo 4.750000000000000E-01 = X (m) 6.000000000000000E+02 = máximo 4.750000000000000E-01 = X (m) *** temperatura de parede adiabática *** ponto x (m) Taw (K) 2 2.500000000000000E-02 3.416036627094878E+03 3 7.500000000000001E-02 3.418059302752380E+03 4 1.250000000000000E-01 3.422013068025155E+03 5 1.750000000000000E-01 3.411664702716755E+03 6 2.250000000000000E-01 3.410249184372509E+03 7 2.750000000000000E-01 3.316396502561721E+03 8 3.250000000000000E-01 3.110574795386187E+03 9 3.750000000000000E-01 2.638563094911743E+03 10 4.250000000000000E-01 2.254624120454686E+03 11 4.750000000000000E-01 2.158352695488989E+03 2.158352695488989E+03 = mínimo 4.750000000000000E-01 = X (m) 3.422013068025155E+03 = máximo 1.250000000000000E-01 = X (m) *** cp = calor específico à pressão constante *** ponto x (m) cp (J/kg.K) 1 0.000000000000000E+00 3.226981515797828E+03 2 2.500000000000000E-02 3.226593120231976E+03 3 7.500000000000001E-02 3.226893070454340E+03 4 1.250000000000000E-01 3.227481617828839E+03 5 1.750000000000000E-01 3.225937546217606E+03 6 2.250000000000000E-01 3.225740662084693E+03 7 2.750000000000000E-01 3.211352908849260E+03 8 3.250000000000000E-01 3.176867958285748E+03 9 3.750000000000000E-01 3.076072638807339E+03 10 4.250000000000000E-01 2.963578418050811E+03 11 4.750000000000000E-01 2.929955535220650E+03 12 5.000000000000000E-01 2.912248640304947E+03 2.912248640304947E+03 = mínimo 5.000000000000000E-01 = X (m) 3.227481617828839E+03 = máximo 1.250000000000000E-01 = X (m) *** razão de calores específicos *** ponto x (m) gama (adimensional) 1 0.000000000000000E+00 1.158061714716929E+00 2 2.500000000000000E-02 1.158097570801983E+00 3 7.500000000000001E-02 1.158067630828715E+00 4 1.250000000000000E-01 1.157999199431953E+00 5 1.750000000000000E-01 1.158181787008806E+00 6 2.250000000000000E-01 1.158158873609461E+00 7 2.750000000000000E-01 1.159689833989383E+00 8 3.250000000000000E-01 1.162574485554158E+00 9 3.750000000000000E-01 1.172412159473921E+00 10 4.250000000000000E-01 1.182740807955560E+00 11 4.750000000000000E-01 1.185703775555126E+00 12 5.000000000000000E-01 1.187237417936600E+00 1.157999199431953E+00 = mínimo 1.250000000000000E-01 = X (m) 1.187237417936600E+00 = máximo 5.000000000000000E-01 = X (m) *** gama congelado *** ponto x (m) gamaf (adimensional) 1 0.000000000000000E+00 1.179226158556760E+00 2 2.500000000000000E-02 1.179227247660266E+00 3 7.500000000000001E-02 1.179231441961051E+00 4 1.250000000000000E-01 1.179261631963019E+00 5 1.750000000000000E-01 1.179176490391762E+00 6 2.250000000000000E-01 1.179268671025440E+00 7 2.750000000000000E-01 1.178929844604289E+00 8 3.250000000000000E-01 1.179968784578482E+00 9 3.750000000000000E-01 1.181801325936871E+00 10 4.250000000000000E-01 1.186707098222731E+00 11 4.750000000000000E-01 1.188658094116633E+00 12 5.000000000000000E-01 1.189781625685574E+00 1.178929844604289E+00 = mínimo 2.750000000000000E-01 = X (m) 1.189781625685574E+00 = máximo 5.000000000000000E-01 = X (m) *** constante da mistura de gases *** ponto x (m) Rg (J/kg.K) 1 0.000000000000000E+00 4.904568106918209E+02 2 2.500000000000000E-02 4.904003069858960E+02 3 7.500000000000001E-02 4.904556285489194E+02 4 1.250000000000000E-01 4.906151495657122E+02 5 1.750000000000000E-01 4.901829136385250E+02 6 2.250000000000000E-01 4.903668313869503E+02 7 2.750000000000000E-01 4.873970063441712E+02 8 3.250000000000000E-01 4.845357544125629E+02 9 3.750000000000000E-01 4.732048205902727E+02 10 4.250000000000000E-01 4.662659620208387E+02 11 4.750000000000000E-01 4.650284466636289E+02 12 5.000000000000000E-01 4.645317001253941E+02 4.645317001253941E+02 = mínimo 5.000000000000000E-01 = X (m) 4.906151495657122E+02 = máximo 1.250000000000000E-01 = X (m) *** número de Reynolds baseado no diâmetro *** ponto x (m) Re (adimensional) 2 2.500000000000000E-02 1.030052669166028E+12 3 7.500000000000001E-02 1.625382017196014E+12 4 1.250000000000000E-01 2.190525179569238E+11 5 1.750000000000000E-01 1.522581639077156E+12 6 2.250000000000000E-01 1.367474540727775E+12 7 2.750000000000000E-01 2.302893343725938E+12 8 3.250000000000000E-01 1.667593545543641E+12 9 3.750000000000000E-01 1.219048526837996E+12 10 4.250000000000000E-01 8.283914220100848E+11 11 4.750000000000000E-01 8.309515391071012E+11 2.190525179569238E+11 = mínimo 1.250000000000000E-01 = X (m) 2.302893343725938E+12 = máximo 2.750000000000000E-01 = X (m) *** número de Prandtl *** ponto x (m) Pr (adimensional) 2 2.500000000000000E-02 3.227012851750322E+03 3 7.500000000000001E-02 3.227012851750324E+03 4 1.250000000000000E-01 3.226989365149419E+03 5 1.750000000000000E-01 3.226682385102187E+03 6 2.250000000000000E-01 3.224530635764067E+03 7 2.750000000000000E-01 3.207195575906822E+03 8 3.250000000000000E-01 3.124253196974296E+03 9 3.750000000000000E-01 2.967183708256521E+03 10 4.250000000000000E-01 2.825025441681452E+03 11 4.750000000000000E-01 2.749808628235923E+03 2.749808628235923E+03 = mínimo 4.750000000000000E-01 = X (m) 3.227012851750324E+03 = máximo 7.500000000000001E-02 = X (m) *** viscosidade absoluta *** ponto x (m) mi (Pa.s) 2 2.500000000000000E-02 1.000000000000000E-10 3 7.500000000000001E-02 1.000000000000000E-10 4 1.250000000000000E-01 1.000000000000000E-10 5 1.750000000000000E-01 1.000000000000000E-10 6 2.250000000000000E-01 1.000000000000000E-10 7 2.750000000000000E-01 1.000000000000000E-10 8 3.250000000000000E-01 1.000000000000000E-10 9 3.750000000000000E-01 1.000000000000000E-10 10 4.250000000000000E-01 1.000000000000000E-10 11 4.750000000000000E-01 1.000000000000000E-10 1.000000000000000E-10 = mínimo 4.750000000000000E-01 = X (m) 1.000000000000000E-10 = máximo 4.750000000000000E-01 = X (m) *** condutividade térmica *** ponto x (m) k (W/m.K) 2 2.500000000000000E-02 1.000000000000000E-10 3 7.500000000000001E-02 1.000000000000000E-10 4 1.250000000000000E-01 1.000000000000000E-10 5 1.750000000000000E-01 1.000000000000000E-10 6 2.250000000000000E-01 1.000000000000000E-10 7 2.750000000000000E-01 1.000000000000000E-10 8 3.250000000000000E-01 1.000000000000000E-10 9 3.750000000000000E-01 1.000000000000000E-10 10 4.250000000000000E-01 1.000000000000000E-10 11 4.750000000000000E-01 1.000000000000000E-10 1.000000000000000E-10 = mínimo 4.750000000000000E-01 = X (m) 1.000000000000000E-10 = máximo 4.750000000000000E-01 = X (m) *** coeficiente de recuperação de Taw *** ponto x (m) C_rec (adimensional) 2 2.500000000000000E-02 1.000000000000000E+00 3 7.500000000000001E-02 1.000000000000000E+00 4 1.250000000000000E-01 1.000000000000000E+00 5 1.750000000000000E-01 1.000000000000000E+00 6 2.250000000000000E-01 1.000000000000000E+00 7 2.750000000000000E-01 1.000000000000000E+00 8 3.250000000000000E-01 1.000000000000000E+00 9 3.750000000000000E-01 1.000000000000000E+00 10 4.250000000000000E-01 1.000000000000000E+00 11 4.750000000000000E-01 1.000000000000000E+00 1.000000000000000E+00 = mínimo 4.750000000000000E-01 = X (m) 1.000000000000000E+00 = máximo 4.750000000000000E-01 = X (m) *** fator de recuperação *** ponto x (m) fr (adimensional) 2 2.500000000000000E-02 0.000000000000000E+00 3 7.500000000000001E-02 0.000000000000000E+00 4 1.250000000000000E-01 0.000000000000000E+00 5 1.750000000000000E-01 0.000000000000000E+00 6 2.250000000000000E-01 0.000000000000000E+00 7 2.750000000000000E-01 0.000000000000000E+00 8 3.250000000000000E-01 0.000000000000000E+00 9 3.750000000000000E-01 0.000000000000000E+00 10 4.250000000000000E-01 0.000000000000000E+00 11 4.750000000000000E-01 0.000000000000000E+00 0.000000000000000E+00 = mínimo 4.750000000000000E-01 = X (m) 0.000000000000000E+00 = máximo 4.750000000000000E-01 = X (m) *** plinha *** ponto x (m) pl (Pa) 1 0.000000000000000E+00 4.025421068953807E-11 2 2.500000000000000E-02 -4.025421068953807E-11 3 7.500000000000001E-02 -1.112324081805551E-10 4 1.250000000000000E-01 -1.645518986582358E-10 5 1.750000000000000E-01 -5.170075459173992E-11 6 2.250000000000000E-01 -3.056356595502719E-11 7 2.750000000000000E-01 -1.357618878361498E-10 8 3.250000000000000E-01 -1.841372173334015E-10 9 3.750000000000000E-01 -7.154188069823019E-11 10 4.250000000000000E-01 -3.547680561575518E-11 11 4.750000000000000E-01 -1.870996243484161E-11 12 5.000000000000000E-01 -9.067594708965822E-12 -1.841372173334015E-10 = mínimo 3.250000000000000E-01 = X (m) 4.025421068953807E-11 = máximo 0.000000000000000E+00 = X (m) *** velocidade nas faces *** ponto x (m) um 1 0.000000000000000E+00 1.037396710211745E+02 2 5.000000000000000E-02 1.042202393782717E+02 3 1.000000000000000E-01 1.039664282231347E+02 4 1.500000000000000E-01 1.276970418977284E+02 5 2.000000000000000E-01 2.374068144405603E+02 6 2.500000000000000E-01 6.106810334228001E+02 7 3.000000000000000E-01 1.482515592837660E+03 8 3.500000000000000E-01 2.137718898946611E+03 9 4.000000000000000E-01 2.765874516274100E+03 10 4.500000000000001E-01 3.098029455775902E+03 11 5.000000000000000E-01 3.345502599295281E+03 1.037396710211745E+02 = mínimo 0.000000000000000E+00 = X (m) 3.345502599295281E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica nas faces *** ponto x (m) rom (kg/m3) 1 0.000000000000000E+00 1.188986787266623E+00 2 5.000000000000000E-02 1.183504268416393E+00 3 1.000000000000000E-01 1.186393533639890E+00 4 1.500000000000000E-01 1.186240627056265E+00 5 2.000000000000000E-01 1.168991174549882E+00 6 2.500000000000000E-01 1.087488460575888E+00 7 3.000000000000000E-01 7.487987909194468E-01 8 3.500000000000000E-01 3.106622565142229E-01 9 4.000000000000000E-01 1.003395017474877E-01 10 4.500000000000001E-01 4.889540955512103E-02 11 5.000000000000000E-01 3.686892910665954E-02 3.686892910665954E-02 = mínimo 5.000000000000000E-01 = X (m) 1.188986787266623E+00 = máximo 0.000000000000000E+00 = X (m) *** espécie H2O *** ponto x (m) Yi (adim.) 1 0.000000000000000E+00 8.746271824858280E-01 2 2.500000000000000E-02 8.748720387872273E-01 3 7.500000000000001E-02 8.746323052496151E-01 4 1.250000000000000E-01 8.739410280045572E-01 5 1.750000000000000E-01 8.758141032078676E-01 6 2.250000000000000E-01 8.750171038092615E-01 7 2.750000000000000E-01 8.878867088002176E-01 8 3.250000000000000E-01 9.002858170335265E-01 9 3.750000000000000E-01 9.493879157669516E-01 10 4.250000000000000E-01 9.794571513584072E-01 11 4.750000000000000E-01 9.848198692249873E-01 12 5.000000000000000E-01 9.869724982976172E-01 8.739410280045572E-01 = mínimo 1.250000000000000E-01 = X (m) 9.869724982976172E-01 = máximo 5.000000000000000E-01 = X (m) *** espécie O2 *** ponto x (m) Yi (adim.) 1 0.000000000000000E+00 1.113438068419990E-01 2 2.500000000000000E-02 1.111263495552620E-01 3 7.500000000000001E-02 1.113392573069968E-01 4 1.250000000000000E-01 1.119531817730380E-01 5 1.750000000000000E-01 1.102897005833011E-01 6 2.250000000000000E-01 1.109975170689765E-01 7 2.750000000000000E-01 9.956799956537363E-02 8 3.250000000000000E-01 8.855633101134600E-02 9 3.750000000000000E-01 4.494867581666897E-02 10 4.250000000000000E-01 1.824413789541922E-02 11 4.750000000000000E-01 1.348149927783645E-02 12 5.000000000000000E-01 1.156974583383611E-02 1.156974583383611E-02 = mínimo 5.000000000000000E-01 = X (m) 1.119531817730380E-01 = máximo 1.250000000000000E-01 = X (m) *** espécie H2 *** ponto x (m) Yi (adim.) 1 0.000000000000000E+00 1.402901067217285E-02 2 2.500000000000000E-02 1.400161165751059E-02 3 7.500000000000001E-02 1.402843744338801E-02 4 1.250000000000000E-01 1.410579022240491E-02 5 1.750000000000000E-01 1.389619620883149E-02 6 2.250000000000000E-01 1.398537912176217E-02 7 2.750000000000000E-01 1.254529163440871E-02 8 3.250000000000000E-01 1.115785195512741E-02 9 3.750000000000000E-01 5.663408416379365E-03 10 4.250000000000000E-01 2.298710746173673E-03 11 4.750000000000000E-01 1.698631497176039E-03 12 5.000000000000000E-01 1.457755868546752E-03 1.457755868546752E-03 = mínimo 5.000000000000000E-01 = X (m) 1.410579022240491E-02 = máximo 1.250000000000000E-01 = X (m) *** entropia *** ponto x (m) entropia (J/kg.K) 1 0.000000000000000E+00 1.557610526541598E+04 2 2.500000000000000E-02 1.557524054376543E+04 3 7.500000000000001E-02 1.557535006742712E+04 4 1.250000000000000E-01 1.557612061830923E+04 5 1.750000000000000E-01 1.558133486026867E+04 6 2.250000000000000E-01 1.556655456672486E+04 7 2.750000000000000E-01 1.558221918064543E+04 8 3.250000000000000E-01 1.551412990729906E+04 9 3.750000000000000E-01 1.566168642022878E+04 10 4.250000000000000E-01 1.556283974773653E+04 11 4.750000000000000E-01 1.545922603281592E+04 12 5.000000000000000E-01 1.542773574229645E+04 1.542773574229645E+04 = mínimo 5.000000000000000E-01 = X (m) 1.566168642022878E+04 = máximo 3.750000000000000E-01 = X (m)