*** CAMPOS AUXILIARES *** *** Condições químicas na câmara *** modelo = 2 Número de espécies químicas = 4 Número de reações = 2 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 -9.789225146E-02 2 5.452514356E-02 espécie número de moles (mol) H2O 8.042154971E-01 O2 4.336710790E-02 H2 1.412593594E-01 OH 1.090502871E-01 espécie fração mássica (adim.) H2O 8.042154971E-01 O2 7.702880068E-02 H2 1.580668840E-02 OH 1.029490138E-01 número total de moles (mol) = 1.097892251E+00 massa molecular (kg/kmol) = 1.640896907E+01 constante da mistura de gases (J/kg.K) = 5.067052027E+02 calor específico congelado à pressão constante (J/kg.K) = 3.218358836E+03 razão entre os calores específicos congelados (adim.) = 1.186862067E+00 espécie massa molecular (kg/kmol) H2O 1.801528000E+01 O2 3.199880000E+01 H2 2.015880000E+00 OH 1.700734000E+01 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 OH 3.99201543E+00 -2.40131752E-03 4.61793841E-06 -3.88113333E-09 1.36411470E-12 3.61508056E+03 -1.03925458E-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 OH 2.83864607E+00 1.10725586E-03 -2.93914978E-07 4.20524247E-11 -2.42169092E-15 3.94395852E+03 5.84452662E+00 viscosidade absoluta (Pa.s) = 1.039914266E-04 condutividade térmica (W/m.K) = 5.254409311E-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 OH 7.85301330E-01 -1.65249030E+02 1.26215440E+04 6.97889720E-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 OH 5.89366350E-01 -3.62234180E+02 2.33553060E+04 2.23634550E+00 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 OH 1.06575000E+00 4.53005260E+01 -3.72578020E+03 -4.98947570E-01 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 OH 5.84155520E-01 -8.75335410E+02 2.08305030E+05 3.53710170E+00 *** variação da entropia entre a estagnação e a entrada = 1.509903313490213E-13 *** entropia na estagnação = 1.597893034790654E+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 3.507752418753150E+03 3 7.500000000000001E-02 3.322000016644653E+03 4 1.250000000000000E-01 3.515633480765574E+03 5 1.750000000000000E-01 3.321503214266322E+03 6 2.250000000000000E-01 3.486614264732573E+03 7 2.750000000000000E-01 3.228975236501466E+03 8 3.250000000000000E-01 3.062660586129585E+03 9 3.750000000000000E-01 2.419167053802316E+03 10 4.250000000000000E-01 1.668439732882229E+03 11 4.750000000000000E-01 1.557304552348822E+03 1.557304552348822E+03 = mínimo 4.750000000000000E-01 = X (m) 3.515633480765574E+03 = máximo 1.250000000000000E-01 = X (m) *** cp = calor específico à pressão constante *** ponto x (m) cp (J/kg.K) 1 0.000000000000000E+00 3.218104094678326E+03 2 2.500000000000000E-02 3.230761569774018E+03 3 7.500000000000001E-02 3.203616352540045E+03 4 1.250000000000000E-01 3.231849139667464E+03 5 1.750000000000000E-01 3.203539605680436E+03 6 2.250000000000000E-01 3.227820180320353E+03 7 2.750000000000000E-01 3.188824545182246E+03 8 3.250000000000000E-01 3.160094299796221E+03 9 3.750000000000000E-01 3.013239539225574E+03 10 4.250000000000000E-01 2.737328588041803E+03 11 4.750000000000000E-01 2.683581182609520E+03 12 5.000000000000000E-01 2.655239718318713E+03 2.655239718318713E+03 = mínimo 5.000000000000000E-01 = X (m) 3.231849139667464E+03 = máximo 1.250000000000000E-01 = X (m) *** razão de calores específicos *** ponto x (m) gama (adimensional) 1 0.000000000000000E+00 1.186879622978696E+00 2 2.500000000000000E-02 1.186011276713061E+00 3 7.500000000000001E-02 1.187883535839807E+00 4 1.250000000000000E-01 1.185937042005071E+00 5 1.750000000000000E-01 1.187888882653586E+00 6 2.250000000000000E-01 1.186212345617566E+00 7 2.750000000000000E-01 1.188919707878763E+00 8 3.250000000000000E-01 1.190965284070930E+00 9 3.750000000000000E-01 1.202153704935814E+00 10 4.250000000000000E-01 1.227158562941080E+00 11 4.750000000000000E-01 1.232767143077194E+00 12 5.000000000000000E-01 1.235837590224112E+00 1.185937042005071E+00 = mínimo 1.250000000000000E-01 = X (m) 1.235837590224112E+00 = máximo 5.000000000000000E-01 = X (m) *** constante da mistura de gases *** ponto x (m) Rg (J/kg.K) 1 0.000000000000000E+00 5.067052026810479E+02 2 2.500000000000000E-02 5.067052026810479E+02 3 7.500000000000001E-02 5.067052026810479E+02 4 1.250000000000000E-01 5.067052026810479E+02 5 1.750000000000000E-01 5.067052026810479E+02 6 2.250000000000000E-01 5.067052026810479E+02 7 2.750000000000000E-01 5.067052026810479E+02 8 3.250000000000000E-01 5.067052026810479E+02 9 3.750000000000000E-01 5.067052026810479E+02 10 4.250000000000000E-01 5.067052026810479E+02 11 4.750000000000000E-01 5.067052026810479E+02 12 5.000000000000000E-01 5.067052026810479E+02 5.067052026810479E+02 = mínimo 5.000000000000000E-01 = X (m) 5.067052026810479E+02 = máximo 5.000000000000000E-01 = X (m) *** número de Reynolds baseado no diâmetro *** ponto x (m) Re (adimensional) 2 2.500000000000000E-02 9.813103330509708E+11 3 7.500000000000001E-02 1.617910346580414E+12 4 1.250000000000000E-01 2.374506077296758E+11 5 1.750000000000000E-01 1.529753234417075E+12 6 2.250000000000000E-01 1.331184924331202E+12 7 2.750000000000000E-01 2.308385467237708E+12 8 3.250000000000000E-01 1.645336433597679E+12 9 3.750000000000000E-01 1.200946862586850E+12 10 4.250000000000000E-01 8.225642885113859E+11 11 4.750000000000000E-01 8.267032201081736E+11 2.374506077296758E+11 = mínimo 1.250000000000000E-01 = X (m) 2.308385467237708E+12 = máximo 2.750000000000000E-01 = X (m) *** número de Prandtl *** ponto x (m) Pr (adimensional) 2 2.500000000000000E-02 3.218146944996544E+03 3 7.500000000000001E-02 3.218146944996544E+03 4 1.250000000000000E-01 3.218123880456334E+03 5 1.750000000000000E-01 3.217822407068866E+03 6 2.250000000000000E-01 3.215708762821505E+03 7 2.750000000000000E-01 3.198659118309445E+03 8 3.250000000000000E-01 3.117418430734497E+03 9 3.750000000000000E-01 2.967750351711125E+03 10 4.250000000000000E-01 2.835618194013721E+03 11 4.750000000000000E-01 2.766361852062901E+03 2.766361852062901E+03 = mínimo 4.750000000000000E-01 = X (m) 3.218146944996544E+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 -5.711556461422915E-11 2 2.500000000000000E-02 5.711556461422915E-11 3 7.500000000000001E-02 2.259271621327553E-10 4 1.250000000000000E-01 2.037773927320480E-10 5 1.750000000000000E-01 1.787517772737521E-10 6 2.250000000000000E-01 1.768056178297220E-10 7 2.750000000000000E-01 7.882285356310078E-11 8 3.250000000000000E-01 8.148522283152502E-11 9 3.750000000000000E-01 2.986911551392524E-11 10 4.250000000000000E-01 1.195042580316254E-11 11 4.750000000000000E-01 1.352865272388958E-11 12 5.000000000000000E-01 1.328984933075061E-11 -5.711556461422915E-11 = mínimo 0.000000000000000E+00 = X (m) 2.259271621327553E-10 = máximo 7.500000000000001E-02 = X (m) *** velocidade nas faces *** ponto x (m) um 1 0.000000000000000E+00 1.061150422545387E+02 2 5.000000000000000E-02 1.065396275527279E+02 3 1.000000000000000E-01 1.063038178871465E+02 4 1.500000000000000E-01 1.307333510518374E+02 5 2.000000000000000E-01 2.424839552522714E+02 6 2.500000000000000E-01 6.271756003455851E+02 7 3.000000000000000E-01 1.494757851872438E+03 8 3.500000000000000E-01 2.172651221259341E+03 9 4.000000000000000E-01 2.821690268087747E+03 10 4.500000000000001E-01 3.148269249057848E+03 11 5.000000000000000E-01 3.386930646301676E+03 1.061150422545387E+02 = mínimo 0.000000000000000E+00 = X (m) 3.386930646301676E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica nas faces *** ponto x (m) rom (kg/m3) 1 0.000000000000000E+00 1.151843234669022E+00 2 5.000000000000000E-02 1.147252870365212E+00 3 1.000000000000000E-01 1.149797777228156E+00 4 1.500000000000000E-01 1.148195048389619E+00 5 2.000000000000000E-01 1.134148278504775E+00 6 2.500000000000000E-01 1.049296845412539E+00 7 3.000000000000000E-01 7.359392963078062E-01 8 3.500000000000000E-01 3.028987683448269E-01 9 4.000000000000000E-01 9.746383702161901E-02 10 4.500000000000001E-01 4.767933568007965E-02 11 5.000000000000000E-01 3.608810049032839E-02 3.608810049032839E-02 = mínimo 5.000000000000000E-01 = X (m) 1.151843234669022E+00 = máximo 0.000000000000000E+00 = X (m) *** espécie H2O *** ponto x (m) Yi (adim.) 1 0.000000000000000E+00 8.042154970742570E-01 2 2.500000000000000E-02 8.042154970742570E-01 3 7.500000000000001E-02 8.042154970742570E-01 4 1.250000000000000E-01 8.042154970742570E-01 5 1.750000000000000E-01 8.042154970742570E-01 6 2.250000000000000E-01 8.042154970742570E-01 7 2.750000000000000E-01 8.042154970742570E-01 8 3.250000000000000E-01 8.042154970742570E-01 9 3.750000000000000E-01 8.042154970742570E-01 10 4.250000000000000E-01 8.042154970742570E-01 11 4.750000000000000E-01 8.042154970742570E-01 12 5.000000000000000E-01 8.042154970742570E-01 8.042154970742570E-01 = mínimo 5.000000000000000E-01 = X (m) 8.042154970742570E-01 = máximo 5.000000000000000E-01 = X (m) *** espécie O2 *** ponto x (m) Yi (adim.) 1 0.000000000000000E+00 7.702880067854172E-02 2 2.500000000000000E-02 7.702880067854172E-02 3 7.500000000000001E-02 7.702880067854172E-02 4 1.250000000000000E-01 7.702880067854172E-02 5 1.750000000000000E-01 7.702880067854172E-02 6 2.250000000000000E-01 7.702880067854172E-02 7 2.750000000000000E-01 7.702880067854172E-02 8 3.250000000000000E-01 7.702880067854172E-02 9 3.750000000000000E-01 7.702880067854172E-02 10 4.250000000000000E-01 7.702880067854172E-02 11 4.750000000000000E-01 7.702880067854172E-02 12 5.000000000000000E-01 7.702880067854172E-02 7.702880067854172E-02 = mínimo 5.000000000000000E-01 = X (m) 7.702880067854172E-02 = máximo 5.000000000000000E-01 = X (m) *** espécie H2 *** ponto x (m) Yi (adim.) 1 0.000000000000000E+00 1.580668839818119E-02 2 2.500000000000000E-02 1.580668839818119E-02 3 7.500000000000001E-02 1.580668839818119E-02 4 1.250000000000000E-01 1.580668839818119E-02 5 1.750000000000000E-01 1.580668839818119E-02 6 2.250000000000000E-01 1.580668839818119E-02 7 2.750000000000000E-01 1.580668839818119E-02 8 3.250000000000000E-01 1.580668839818119E-02 9 3.750000000000000E-01 1.580668839818119E-02 10 4.250000000000000E-01 1.580668839818119E-02 11 4.750000000000000E-01 1.580668839818119E-02 12 5.000000000000000E-01 1.580668839818119E-02 1.580668839818119E-02 = mínimo 5.000000000000000E-01 = X (m) 1.580668839818119E-02 = máximo 5.000000000000000E-01 = X (m) *** espécie OH *** ponto x (m) Yi (adim.) 1 0.000000000000000E+00 1.029490138490202E-01 2 2.500000000000000E-02 1.029490138490202E-01 3 7.500000000000001E-02 1.029490138490202E-01 4 1.250000000000000E-01 1.029490138490202E-01 5 1.750000000000000E-01 1.029490138490202E-01 6 2.250000000000000E-01 1.029490138490202E-01 7 2.750000000000000E-01 1.029490138490202E-01 8 3.250000000000000E-01 1.029490138490202E-01 9 3.750000000000000E-01 1.029490138490202E-01 10 4.250000000000000E-01 1.029490138490202E-01 11 4.750000000000000E-01 1.029490138490202E-01 12 5.000000000000000E-01 1.029490138490202E-01 1.029490138490202E-01 = mínimo 5.000000000000000E-01 = X (m) 1.029490138490202E-01 = máximo 5.000000000000000E-01 = X (m) *** entropia *** ponto x (m) entropia (J/kg.K) 1 0.000000000000000E+00 1.597893034790654E+04 2 2.500000000000000E-02 1.597893041305977E+04 3 7.500000000000001E-02 1.606556069499805E+04 4 1.250000000000000E-01 1.588838939388231E+04 5 1.750000000000000E-01 1.606936477559859E+04 6 2.250000000000000E-01 1.588936338080569E+04 7 2.750000000000000E-01 1.605968060311547E+04 8 3.250000000000000E-01 1.589222350452614E+04 9 3.750000000000000E-01 1.614431386063398E+04 10 4.250000000000000E-01 1.613559221119976E+04 11 4.750000000000000E-01 1.575279079967435E+04 12 5.000000000000000E-01 1.571576310706371E+04 1.571576310706371E+04 = mínimo 5.000000000000000E-01 = X (m) 1.614431386063398E+04 = máximo 3.750000000000000E-01 = X (m)