*** CAMPOS AUXILIARES *** *** Condições químicas na câmara *** modelo = 0 Número de espécies químicas = 3 Número de reações = 0 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 espécie número de moles (mol) H2O 1.000000000E+00 O2 0.000000000E+00 H2 6.542655306E-12 espécie fração mássica (adim.) H2O 1.000000000E+00 O2 0.000000000E+00 H2 7.321122946E-13 número total de moles (mol) = 1.000000000E+00 massa molecular (kg/kmol) = 1.801528000E+01 constante da mistura de gases (J/kg.K) = 4.615254384E+02 calor específico congelado à pressão constante (J/kg.K) = 3.225411410E+03 razão entre os calores específicos congelados (adim.) = 1.166984254E+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) = 1.054984757E-04 condutividade térmica (W/m.K) = 4.715219790E-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 = -2.100541962590796E-13 *** entropia na estagnação = 1.497237762571753E+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 3.501888446324389E+03 3 7.500000000000001E-02 3.328859165606783E+03 4 1.250000000000000E-01 3.509107242804156E+03 5 1.750000000000000E-01 3.328426636644977E+03 6 2.250000000000000E-01 3.482838040165955E+03 7 2.750000000000000E-01 3.244840859828068E+03 8 3.250000000000000E-01 3.098114168080752E+03 9 3.750000000000000E-01 2.508784814225402E+03 10 4.250000000000000E-01 1.830719032432223E+03 11 4.750000000000000E-01 1.723354545941690E+03 1.723354545941690E+03 = mínimo 4.750000000000000E-01 = X (m) 3.509107242804156E+03 = máximo 1.250000000000000E-01 = X (m) *** cp = calor específico à pressão constante *** ponto x (m) cp (J/kg.K) 1 0.000000000000000E+00 3.225185078794866E+03 2 2.500000000000000E-02 3.236808473852936E+03 3 7.500000000000001E-02 3.211863462998421E+03 4 1.250000000000000E-01 3.237788133890987E+03 5 1.750000000000000E-01 3.211797360996287E+03 6 2.250000000000000E-01 3.234200931142609E+03 7 2.750000000000000E-01 3.198641593612844E+03 8 3.250000000000000E-01 3.173571455339917E+03 9 3.750000000000000E-01 3.040542768382764E+03 10 4.250000000000000E-01 2.796037529937554E+03 11 4.750000000000000E-01 2.745389318805785E+03 12 5.000000000000000E-01 2.718636131904842E+03 2.718636131904842E+03 = mínimo 5.000000000000000E-01 = X (m) 3.237788133890987E+03 = máximo 1.250000000000000E-01 = X (m) *** razão de calores específicos *** ponto x (m) gama (adimensional) 1 0.000000000000000E+00 1.166997929724713E+00 2 2.500000000000000E-02 1.166298511724358E+00 3 7.500000000000001E-02 1.167806805666035E+00 4 1.250000000000000E-01 1.166239829955306E+00 5 1.750000000000000E-01 1.167810838854803E+00 6 2.250000000000000E-01 1.166454905962747E+00 7 2.750000000000000E-01 1.168617410529226E+00 8 3.250000000000000E-01 1.170176108932867E+00 9 3.750000000000000E-01 1.178953988809711E+00 10 4.250000000000000E-01 1.197696743607772E+00 11 4.750000000000000E-01 1.202080974426540E+00 12 5.000000000000000E-01 1.204476209225407E+00 1.166239829955306E+00 = mínimo 1.250000000000000E-01 = X (m) 1.204476209225407E+00 = máximo 5.000000000000000E-01 = X (m) *** gama congelado *** ponto x (m) gamaf (adimensional) 1 0.000000000000000E+00 1.166997929724713E+00 2 2.500000000000000E-02 1.166298511724358E+00 3 7.500000000000001E-02 1.167806805666035E+00 4 1.250000000000000E-01 1.166239829955306E+00 5 1.750000000000000E-01 1.167810838854803E+00 6 2.250000000000000E-01 1.166454905962747E+00 7 2.750000000000000E-01 1.168617410529226E+00 8 3.250000000000000E-01 1.170176108932867E+00 9 3.750000000000000E-01 1.178953988809711E+00 10 4.250000000000000E-01 1.197696743607772E+00 11 4.750000000000000E-01 1.202080974426540E+00 12 5.000000000000000E-01 1.204476209225407E+00 1.166239829955306E+00 = mínimo 1.250000000000000E-01 = X (m) 1.204476209225407E+00 = máximo 5.000000000000000E-01 = X (m) *** constante da mistura de gases *** ponto x (m) Rg (J/kg.K) 1 0.000000000000000E+00 4.615254384083019E+02 2 2.500000000000000E-02 4.615254384083019E+02 3 7.500000000000001E-02 4.615254384083019E+02 4 1.250000000000000E-01 4.615254384083019E+02 5 1.750000000000000E-01 4.615254384083019E+02 6 2.250000000000000E-01 4.615254384083019E+02 7 2.750000000000000E-01 4.615254384083019E+02 8 3.250000000000000E-01 4.615254384083019E+02 9 3.750000000000000E-01 4.615254384083019E+02 10 4.250000000000000E-01 4.615254384083019E+02 11 4.750000000000000E-01 4.615254384083019E+02 12 5.000000000000000E-01 4.615254384083019E+02 4.615254384083019E+02 = mínimo 5.000000000000000E-01 = X (m) 4.615254384083019E+02 = máximo 5.000000000000000E-01 = X (m) *** número de Reynolds baseado no diâmetro *** ponto x (m) Re (adimensional) 2 2.500000000000000E-02 1.028197718921868E+12 3 7.500000000000001E-02 1.693260454073169E+12 4 1.250000000000000E-01 2.419575871277042E+11 5 1.750000000000000E-01 1.597338913069526E+12 6 2.250000000000000E-01 1.390079155071559E+12 7 2.750000000000000E-01 2.406501415743042E+12 8 3.250000000000000E-01 1.715486207374055E+12 9 3.750000000000000E-01 1.250854268203046E+12 10 4.250000000000000E-01 8.585393661328062E+11 11 4.750000000000000E-01 8.613990727930684E+11 2.419575871277042E+11 = mínimo 1.250000000000000E-01 = X (m) 2.406501415743042E+12 = máximo 2.750000000000000E-01 = X (m) *** número de Prandtl *** ponto x (m) Pr (adimensional) 2 2.500000000000000E-02 3.225202387266041E+03 3 7.500000000000001E-02 3.225202387266041E+03 4 1.250000000000000E-01 3.225179633466378E+03 5 1.750000000000000E-01 3.224882195967159E+03 6 2.250000000000000E-01 3.222795506752470E+03 7 2.750000000000000E-01 3.205879239675531E+03 8 3.250000000000000E-01 3.123485368660685E+03 9 3.750000000000000E-01 2.966462532550039E+03 10 4.250000000000000E-01 2.824650095920872E+03 11 4.750000000000000E-01 2.749590060369142E+03 2.749590060369142E+03 = mínimo 4.750000000000000E-01 = X (m) 3.225202387266041E+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 -2.536633070604476E-11 2 2.500000000000000E-02 2.536633070604476E-11 3 7.500000000000001E-02 1.138533087440721E-10 4 1.250000000000000E-01 4.761809036525002E-11 5 1.750000000000000E-01 4.147270551411150E-11 6 2.250000000000000E-01 7.661131279153005E-11 7 2.750000000000000E-01 1.037244937711157E-10 8 3.250000000000000E-01 3.591356344955362E-11 9 3.750000000000000E-01 1.497912506383896E-11 10 4.250000000000000E-01 9.827697503283973E-13 11 4.750000000000000E-01 -8.366119033919977E-12 12 5.000000000000000E-01 -8.914842207583293E-12 -2.536633070604476E-11 = mínimo 0.000000000000000E+00 = X (m) 1.138533087440721E-10 = máximo 7.500000000000001E-02 = X (m) *** velocidade nas faces *** ponto x (m) um 1 0.000000000000000E+00 1.008194766834173E+02 2 5.000000000000000E-02 1.012329527324012E+02 3 1.000000000000000E-01 1.009984544248225E+02 4 1.500000000000000E-01 1.242063973039243E+02 5 2.000000000000000E-01 2.304436734311387E+02 6 2.500000000000000E-01 5.964048185856111E+02 7 3.000000000000000E-01 1.425498520955445E+03 8 3.500000000000000E-01 2.074485721324327E+03 9 4.000000000000000E-01 2.698964805504473E+03 10 4.500000000000001E-01 3.015895871216174E+03 11 5.000000000000000E-01 3.251345788653391E+03 1.008194766834173E+02 = mínimo 0.000000000000000E+00 = X (m) 3.251345788653391E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica nas faces *** ponto x (m) rom (kg/m3) 1 0.000000000000000E+00 1.264444091190402E+00 2 5.000000000000000E-02 1.259279593535489E+00 3 1.000000000000000E-01 1.262203390093902E+00 4 1.500000000000000E-01 1.260468048132179E+00 5 2.000000000000000E-01 1.244691714726269E+00 6 2.500000000000000E-01 1.150853706455917E+00 7 3.000000000000000E-01 8.048590070470923E-01 8 3.500000000000000E-01 3.308649893137115E-01 9 4.000000000000000E-01 1.062745725493860E-01 10 4.500000000000001E-01 5.191100815827390E-02 11 5.000000000000000E-01 3.920856157906662E-02 3.920856157906662E-02 = mínimo 5.000000000000000E-01 = X (m) 1.264444091190402E+00 = máximo 0.000000000000000E+00 = X (m) *** espécie H2O *** ponto x (m) Yi (adim.) 1 0.000000000000000E+00 9.999999999992680E-01 2 2.500000000000000E-02 9.999999999992680E-01 3 7.500000000000001E-02 9.999999999992680E-01 4 1.250000000000000E-01 9.999999999992680E-01 5 1.750000000000000E-01 9.999999999992680E-01 6 2.250000000000000E-01 9.999999999992680E-01 7 2.750000000000000E-01 9.999999999992680E-01 8 3.250000000000000E-01 9.999999999992680E-01 9 3.750000000000000E-01 9.999999999992680E-01 10 4.250000000000000E-01 9.999999999992680E-01 11 4.750000000000000E-01 9.999999999992680E-01 12 5.000000000000000E-01 9.999999999992680E-01 9.999999999992680E-01 = mínimo 5.000000000000000E-01 = X (m) 9.999999999992680E-01 = máximo 5.000000000000000E-01 = X (m) *** espécie O2 *** ponto x (m) Yi (adim.) 1 0.000000000000000E+00 0.000000000000000E+00 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 12 5.000000000000000E-01 0.000000000000000E+00 0.000000000000000E+00 = mínimo 5.000000000000000E-01 = X (m) 0.000000000000000E+00 = máximo 5.000000000000000E-01 = X (m) *** espécie H2 *** ponto x (m) Yi (adim.) 1 0.000000000000000E+00 7.321122946287587E-13 2 2.500000000000000E-02 7.321122946287587E-13 3 7.500000000000001E-02 7.321122946287587E-13 4 1.250000000000000E-01 7.321122946287587E-13 5 1.750000000000000E-01 7.321122946287587E-13 6 2.250000000000000E-01 7.321122946287587E-13 7 2.750000000000000E-01 7.321122946287587E-13 8 3.250000000000000E-01 7.321122946287587E-13 9 3.750000000000000E-01 7.321122946287587E-13 10 4.250000000000000E-01 7.321122946287587E-13 11 4.750000000000000E-01 7.321122946287587E-13 12 5.000000000000000E-01 7.321122946287587E-13 7.321122946287587E-13 = mínimo 5.000000000000000E-01 = X (m) 7.321122946287587E-13 = máximo 5.000000000000000E-01 = X (m) *** entropia *** ponto x (m) entropia (J/kg.K) 1 0.000000000000000E+00 1.497237762571753E+04 2 2.500000000000000E-02 1.497237767785833E+04 3 7.500000000000001E-02 1.505328937014934E+04 4 1.250000000000000E-01 1.488796082795592E+04 5 1.750000000000000E-01 1.505680712897319E+04 6 2.250000000000000E-01 1.488884316137222E+04 7 2.750000000000000E-01 1.504794727804332E+04 8 3.250000000000000E-01 1.489160139969904E+04 9 3.750000000000000E-01 1.512407452904556E+04 10 4.250000000000000E-01 1.511328788385376E+04 11 4.750000000000000E-01 1.479187500054732E+04 12 5.000000000000000E-01 1.475867957064952E+04 1.475867957064952E+04 = mínimo 5.000000000000000E-01 = X (m) 1.512407452904556E+04 = máximo 3.750000000000000E-01 = X (m)