MACH1D 5.0, EQUILÍBRIO, modelo químico = 03, N = 20 Dia = (29/5/2006) Hora = 10:10:29 *** Solução analítica do escoamento Q1D isentrópico *** 3.031170029526476E+01 = fluxo de massa (kg/s) 1.005352712217646E+05 = empuxo na saída da tubeira (N) 6.283185307179587E+04 = empuxo padrão (N) 3.316715005837862E+03 = velocidade de ejeção dos gases (m/s) 2.072858086473339E+03 = velocidade característica (m/s) 1.600068537002820E+00 = coeficiente de empuxo (adimensional) 3.382108065280052E+02 = impulso específico (s) *** Eficiências: numérico / solução analítica *** 1.014783309778215E+00 = coeficiente de descarga 1.043862589572032E+00 = empuxo 1.028655654378246E+00 = velocidade de ejeção dos gases 9.854320526995600E-01 = velocidade característica (m/s) 1.043862589572032E+00 = coeficiente de empuxo 1.028655654378246E+00 = impulso específico 2.176027277839355E+08 = taxa de transferência de calor advectivo na saída da tubeira (W) -4.547472402731599E-02 = razão q_wall / q_advectivo na saída da tubeira *** número de Mach *** ponto x (m) M (adimensional) 1 0.000000000000000E+00 6.856126906721101E-02 2 1.250000000000000E-02 6.792557314988451E-02 3 3.750000000000001E-02 6.665482467927995E-02 4 6.250000000000000E-02 7.007200962106860E-02 5 8.750000000000001E-02 6.785719043992226E-02 6 1.125000000000000E-01 7.151220054845521E-02 7 1.375000000000000E-01 7.612268170648902E-02 8 1.625000000000000E-01 9.722918102992906E-02 9 1.875000000000000E-01 1.312290356674194E-01 10 2.125000000000000E-01 2.003574992097054E-01 11 2.375000000000000E-01 3.155942995571350E-01 12 2.625000000000000E-01 5.122664918688489E-01 13 2.875000000000000E-01 7.950318056012182E-01 14 3.125000000000000E-01 1.163142127544356E+00 15 3.375000000000000E-01 1.579426410091745E+00 16 3.625000000000000E-01 1.989779795246312E+00 17 3.875000000000000E-01 2.319550189322616E+00 18 4.125000000000000E-01 2.578559969255267E+00 19 4.375000000000000E-01 2.751239959887384E+00 20 4.625000000000000E-01 2.876766062254441E+00 21 4.875000000000000E-01 2.909849779101588E+00 22 5.000000000000000E-01 2.926455044580351E+00 6.665482467927995E-02 = mínimo 3.750000000000001E-02 = X (m) 2.926455044580351E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994658838969640E+06 2 1.250000000000000E-02 1.994946792681306E+06 3 3.750000000000001E-02 1.994769977614744E+06 4 6.250000000000000E-02 1.994616430527183E+06 5 8.750000000000001E-02 1.994586318303089E+06 6 1.125000000000000E-01 1.994396198700241E+06 7 1.375000000000000E-01 1.993289242851447E+06 8 1.625000000000000E-01 1.989918309168810E+06 9 1.875000000000000E-01 1.981513168704595E+06 10 2.125000000000000E-01 1.960089881613213E+06 11 2.375000000000000E-01 1.902894326205174E+06 12 2.625000000000000E-01 1.754083196888879E+06 13 2.875000000000000E-01 1.427789200730370E+06 14 3.125000000000000E-01 9.373992098245505E+05 15 3.375000000000000E-01 5.020915833137150E+05 16 3.625000000000000E-01 2.515191072305027E+05 17 3.875000000000000E-01 1.337298481548075E+05 18 4.125000000000000E-01 7.941638938339779E+04 19 4.375000000000000E-01 5.459354761639288E+04 20 4.625000000000000E-01 4.119306805469661E+04 21 4.875000000000000E-01 3.836969449917841E+04 22 5.000000000000000E-01 3.695800772141193E+04 3.695800772141193E+04 = mínimo 5.000000000000000E-01 = X (m) 1.994946792681306E+06 = máximo 1.250000000000000E-02 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.418837204700830E+03 2 1.250000000000000E-02 3.418442638217105E+03 3 3.750000000000001E-02 3.417560925304436E+03 4 6.250000000000000E-02 3.416683996768576E+03 5 8.750000000000001E-02 3.415822873507482E+03 6 1.125000000000000E-01 3.414914591964077E+03 7 1.375000000000000E-01 3.413613210177989E+03 8 1.625000000000000E-01 3.411595726509468E+03 9 1.875000000000000E-01 3.408453463384089E+03 10 2.125000000000000E-01 3.402763915689757E+03 11 2.375000000000000E-01 3.390684216997046E+03 12 2.625000000000000E-01 3.362146792935464E+03 13 2.875000000000000E-01 3.299575275737375E+03 14 3.125000000000000E-01 3.184112270551763E+03 15 3.375000000000000E-01 3.022583433563026E+03 16 3.625000000000000E-01 2.852257286796809E+03 17 3.875000000000000E-01 2.704407271400331E+03 18 4.125000000000000E-01 2.588226866166470E+03 19 4.375000000000000E-01 2.504780694703848E+03 20 4.625000000000000E-01 2.449379056063231E+03 21 4.875000000000000E-01 2.432367872001912E+03 22 5.000000000000000E-01 2.423862279970975E+03 2.423862279970975E+03 = mínimo 5.000000000000000E-01 = X (m) 3.418837204700830E+03 = máximo 0.000000000000000E+00 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.810730769312235E+01 2 1.250000000000000E-02 9.718777987596977E+01 3 3.750000000000001E-02 9.534872424166325E+01 4 6.250000000000000E-02 1.002151251091133E+02 5 8.750000000000001E-02 9.702668529354996E+01 6 1.125000000000000E-01 1.022298454222520E+02 7 1.375000000000000E-01 1.087865682580357E+02 8 1.625000000000000E-01 1.388844885311385E+02 9 1.875000000000000E-01 1.873195580550944E+02 10 2.125000000000000E-01 2.856512140391679E+02 11 2.375000000000000E-01 4.488531510018833E+02 12 2.625000000000000E-01 7.245400400333450E+02 13 2.875000000000000E-01 1.111261589661741E+03 14 3.125000000000000E-01 1.590720398614249E+03 15 3.375000000000000E-01 2.092984043776419E+03 16 3.625000000000000E-01 2.546781379943533E+03 17 3.875000000000000E-01 2.877459572479883E+03 18 4.125000000000000E-01 3.118975550440012E+03 19 4.375000000000000E-01 3.266518642476434E+03 20 4.625000000000000E-01 3.373576406208261E+03 21 4.875000000000000E-01 3.399030565213623E+03 22 5.000000000000000E-01 3.411757644716294E+03 9.534872424166325E+01 = mínimo 3.750000000000001E-02 = X (m) 3.411757644716294E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.108893560170031E+00 2 1.250000000000000E-02 1.109304873649631E+00 3 3.750000000000001E-02 1.109745213572658E+00 4 6.250000000000000E-02 1.110196131487892E+00 5 8.750000000000001E-02 1.110709391573884E+00 6 1.125000000000000E-01 1.111158173022601E+00 7 1.375000000000000E-01 1.111312823043913E+00 8 1.625000000000000E-01 1.110582159157662E+00 9 1.875000000000000E-01 1.107587536410185E+00 10 2.125000000000000E-01 1.098485303303424E+00 11 2.375000000000000E-01 1.072044404283310E+00 12 2.625000000000000E-01 1.000056701369287E+00 13 2.875000000000000E-01 8.348684117767710E-01 14 3.125000000000000E-01 5.742411172479615E-01 15 3.375000000000000E-01 3.290456965919080E-01 16 3.625000000000000E-01 1.775875089760257E-01 17 3.875000000000000E-01 1.009862492480698E-01 18 4.125000000000000E-01 6.331743107788462E-02 19 4.375000000000000E-01 4.530226472466599E-02 20 4.625000000000000E-01 3.510048427229488E-02 21 4.875000000000000E-01 3.297147464442784E-02 22 5.000000000000000E-01 3.189197553040843E-02 3.189197553040843E-02 = mínimo 5.000000000000000E-01 = X (m) 1.111312823043913E+00 = máximo 1.375000000000000E-01 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 3.017761903951286E+03 2 1.250000000000000E-02 2.989477405258217E+03 3 3.750000000000001E-02 2.932908407872039E+03 4 6.250000000000000E-02 3.082597962019041E+03 5 8.750000000000001E-02 2.984522166905534E+03 6 1.125000000000000E-01 3.144570371119543E+03 7 1.375000000000000E-01 3.346253903711097E+03 8 1.625000000000000E-01 4.272060138986065E+03 9 1.875000000000000E-01 5.761913556244530E+03 10 2.125000000000000E-01 8.786576370449786E+03 11 2.375000000000000E-01 1.380663654331363E+04 12 2.625000000000000E-01 2.228671219415440E+04 13 2.875000000000000E-01 3.418219263640683E+04 14 3.125000000000000E-01 4.893025332824224E+04 15 3.375000000000000E-01 6.437978639311054E+04 16 3.625000000000000E-01 7.833850512060137E+04 17 3.875000000000000E-01 8.851010268421102E+04 18 4.125000000000000E-01 9.593908768666776E+04 19 4.375000000000000E-01 1.004774848031336E+05 20 4.625000000000000E-01 1.037705610123258E+05 21 4.875000000000000E-01 1.045535260446940E+05 22 5.000000000000000E-01 1.049450085608778E+05 2.932908407872039E+03 = mínimo 3.750000000000001E-02 = X (m) 1.049450085608778E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 2.000001689099885E+06 2 1.250000000000000E-02 2.000191789596749E+06 3 3.750000000000001E-02 1.999820141547504E+06 4 6.250000000000000E-02 2.000198168104635E+06 5 8.750000000000001E-02 1.999820548502814E+06 6 1.125000000000000E-01 2.000209951949343E+06 7 1.375000000000000E-01 1.999874702586925E+06 8 1.625000000000000E-01 2.000654612333698E+06 9 1.875000000000000E-01 2.001028892419553E+06 10 2.125000000000000E-01 2.005358590292118E+06 11 2.375000000000000E-01 2.013614010077396E+06 12 2.625000000000000E-01 2.034460758890359E+06 13 2.875000000000000E-01 2.032527402071126E+06 14 3.125000000000000E-01 1.963111818861688E+06 15 3.375000000000000E-01 1.870635902513417E+06 16 3.625000000000000E-01 1.848094799107376E+06 17 3.875000000000000E-01 1.790746899471981E+06 18 4.125000000000000E-01 1.738972963993829E+06 19 4.375000000000000E-01 1.667615774816833E+06 20 4.625000000000000E-01 1.605283720930639E+06 21 4.875000000000000E-01 1.594071000419073E+06 22 5.000000000000000E-01 1.585549086732189E+06 1.585549086732189E+06 = mínimo 5.000000000000000E-01 = X (m) 2.034460758890359E+06 = máximo 2.625000000000000E-01 = X (m) *** temperatura de estagnação *** ponto x (m) T_estagnação (K) 1 0.000000000000000E+00 3.419948697486639E+03 2 1.250000000000000E-02 3.419533696955682E+03 3 3.750000000000001E-02 3.418611684812400E+03 4 6.250000000000000E-02 3.417845412779171E+03 5 8.750000000000001E-02 3.416912179102240E+03 6 1.125000000000000E-01 3.416124571411105E+03 7 1.375000000000000E-01 3.414984461716299E+03 8 1.625000000000000E-01 3.413833233362212E+03 9 1.875000000000000E-01 3.412530127156495E+03 10 2.125000000000000E-01 3.412267386958980E+03 11 2.375000000000000E-01 3.414254660332645E+03 12 2.625000000000000E-01 3.424141204420772E+03 13 2.875000000000000E-01 3.448066834562684E+03 14 3.125000000000000E-01 3.498053220671881E+03 15 3.375000000000000E-01 3.591171529718425E+03 16 3.625000000000000E-01 3.736951953843510E+03 17 3.875000000000000E-01 3.883755345380107E+03 18 4.125000000000000E-01 4.020830852000397E+03 19 4.375000000000000E-01 4.113938901349235E+03 20 4.625000000000000E-01 4.190822188742957E+03 21 4.875000000000000E-01 4.208893618994221E+03 22 5.000000000000000E-01 4.217982776023621E+03 3.412267386958980E+03 = mínimo 2.125000000000000E-01 = X (m) 4.217982776023621E+03 = máximo 5.000000000000000E-01 = X (m)