MACH1D 5.0, congelado, mod=01, N = 40 Dia = (6/3/2006) Hora = 7:37:35 *** 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 *** 1.034779545120054E+00 = coeficiente de descarga 1.006612273548266E+00 = empuxo 9.727794468835199E-01 = velocidade de ejeção dos gases 9.663894157126787E-01 = velocidade característica (m/s) 1.006612273548266E+00 = coeficiente de empuxo 9.727794468835199E-01 = impulso específico 1.473129821488421E+08 = taxa de transferência de calor advectivo na saída da tubeira (W) 0.000000000000000E+00 = razão q_wall / q_advectivo na saída da tubeira *** número de Mach *** ponto x (m) M (adimensional) 1 0.000000000000000E+00 6.631782810893209E-02 2 6.250000000000000E-03 6.619541322247584E-02 3 1.875000000000000E-02 6.591374785891962E-02 4 3.125000000000000E-02 6.663457900271506E-02 5 4.375000000000000E-02 6.609592807144246E-02 6 5.625000000000000E-02 6.657448954545934E-02 7 6.875000000000001E-02 6.605135667317449E-02 8 8.125000000000000E-02 6.659481162374328E-02 9 9.375000000000000E-02 6.613765020522136E-02 10 1.062500000000000E-01 6.696055810677358E-02 11 1.187500000000000E-01 6.789593220460731E-02 12 1.312500000000000E-01 7.197123695846361E-02 13 1.437500000000000E-01 7.731493872444734E-02 14 1.562500000000000E-01 8.636215285003832E-02 15 1.687500000000000E-01 9.772810442675590E-02 16 1.812500000000000E-01 1.146518998617077E-01 17 1.937500000000000E-01 1.365262552225519E-01 18 2.062500000000000E-01 1.676260793367340E-01 19 2.187500000000000E-01 2.085669755767504E-01 20 2.312500000000000E-01 2.651510697442522E-01 21 2.437500000000000E-01 3.392433240787656E-01 22 2.562500000000000E-01 4.374977849898209E-01 23 2.687500000000000E-01 5.609783455328465E-01 24 2.812500000000000E-01 7.139847036838465E-01 25 2.937500000000000E-01 8.926477161296325E-01 26 3.062500000000000E-01 1.095758344649506E+00 27 3.187500000000000E-01 1.313089350501780E+00 28 3.312500000000000E-01 1.539585610535054E+00 29 3.437500000000000E-01 1.762666102353144E+00 30 3.562500000000000E-01 1.979284278758967E+00 31 3.687500000000000E-01 2.180034142917370E+00 32 3.812500000000000E-01 2.366573389357161E+00 33 3.937500000000000E-01 2.532565127868736E+00 34 4.062500000000000E-01 2.682425728259278E+00 35 4.187500000000000E-01 2.810623407421438E+00 36 4.312500000000000E-01 2.923057647158530E+00 37 4.437500000000000E-01 3.013144944942741E+00 38 4.562500000000000E-01 3.089237735587666E+00 39 4.687500000000000E-01 3.140586980614455E+00 40 4.812500000000000E-01 3.182707517877405E+00 41 4.937500000000000E-01 3.192720795497392E+00 42 5.000000000000000E-01 3.197742574028217E+00 6.591374785891962E-02 = mínimo 1.875000000000000E-02 = X (m) 3.197742574028217E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994821359211620E+06 2 6.250000000000000E-03 1.994881147731883E+06 3 1.875000000000000E-02 1.994843681534214E+06 4 3.125000000000000E-02 1.994812671459262E+06 5 4.375000000000000E-02 1.994815267423830E+06 6 5.625000000000000E-02 1.994822040788424E+06 7 6.875000000000001E-02 1.994822219090199E+06 8 8.125000000000000E-02 1.994818872107224E+06 9 9.375000000000000E-02 1.994808760153468E+06 10 1.062500000000000E-01 1.994761843941583E+06 11 1.187500000000000E-01 1.994533647392315E+06 12 1.312500000000000E-01 1.993957679332202E+06 13 1.437500000000000E-01 1.992941924909274E+06 14 1.562500000000000E-01 1.991332020349843E+06 15 1.687500000000000E-01 1.988814860487734E+06 16 1.812500000000000E-01 1.984836952820568E+06 17 1.937500000000000E-01 1.978444714200784E+06 18 2.062500000000000E-01 1.967981534412368E+06 19 2.187500000000000E-01 1.950582206003358E+06 20 2.312500000000000E-01 1.921416028785655E+06 21 2.437500000000000E-01 1.872790310098497E+06 22 2.562500000000000E-01 1.793690563982007E+06 23 2.687500000000000E-01 1.671254452123352E+06 24 2.812500000000000E-01 1.496061045393422E+06 25 2.937500000000000E-01 1.271095404325892E+06 26 3.062500000000000E-01 1.017563044338830E+06 27 3.187500000000000E-01 7.692490583752284E+05 28 3.312500000000000E-01 5.556549716420069E+05 29 3.437500000000000E-01 3.906791907230938E+05 30 3.562500000000000E-01 2.723160670546824E+05 31 3.687500000000000E-01 1.912843648369577E+05 32 3.812500000000000E-01 1.368714787278414E+05 33 3.937500000000000E-01 1.005947537214096E+05 34 4.062500000000000E-01 7.620824471730438E+04 35 4.187500000000000E-01 5.974657353473119E+04 36 4.312500000000000E-01 4.841527406236111E+04 37 4.437500000000000E-01 4.074946052046157E+04 38 4.562500000000000E-01 3.534149202824134E+04 39 4.687500000000000E-01 3.203394917698738E+04 40 4.812500000000000E-01 2.959878973309934E+04 41 4.937500000000000E-01 2.904463322370428E+04 42 5.000000000000000E-01 2.876755496900672E+04 2.876755496900672E+04 = mínimo 5.000000000000000E-01 = X (m) 1.994881147731883E+06 = máximo 6.250000000000000E-03 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.418982448636669E+03 2 6.250000000000000E-03 3.418008275249275E+03 3 1.875000000000000E-02 3.419977971673173E+03 4 3.125000000000000E-02 3.417990543104831E+03 5 4.375000000000000E-02 3.419970534715497E+03 6 5.625000000000000E-02 3.417992976025964E+03 7 6.875000000000001E-02 3.419972352567226E+03 8 8.125000000000000E-02 3.417992153773479E+03 9 9.375000000000000E-02 3.419968831998696E+03 10 1.062500000000000E-01 3.417977336001046E+03 11 1.187500000000000E-01 3.419896705383955E+03 12 1.312500000000000E-01 3.417768947835771E+03 13 1.437500000000000E-01 3.419481464313043E+03 14 1.562500000000000E-01 3.417087572342396E+03 15 1.687500000000000E-01 3.418402003103054E+03 16 1.812500000000000E-01 3.415395478433013E+03 17 1.937500000000000E-01 3.415680837153458E+03 18 2.062500000000000E-01 3.410975748475731E+03 19 2.187500000000000E-01 3.408311998821071E+03 20 2.312500000000000E-01 3.398597208741412E+03 21 2.437500000000000E-01 3.387316790952743E+03 22 2.562500000000000E-01 3.363435702441957E+03 23 2.687500000000000E-01 3.329689406483785E+03 24 2.812500000000000E-01 3.273121309011719E+03 25 2.937500000000000E-01 3.195929868967949E+03 26 3.062500000000000E-01 3.088952235439663E+03 27 3.187500000000000E-01 2.961326063901280E+03 28 3.312500000000000E-01 2.813651893411487E+03 29 3.437500000000000E-01 2.661838459449777E+03 30 3.562500000000000E-01 2.509305123222812E+03 31 3.687500000000000E-01 2.368511052603359E+03 32 3.812500000000000E-01 2.238244970731034E+03 33 3.937500000000000E-01 2.125287721755709E+03 34 4.062500000000000E-01 2.025250417151832E+03 35 4.187500000000000E-01 1.942333686794068E+03 36 4.312500000000000E-01 1.871134901025046E+03 37 4.437500000000000E-01 1.815697398116908E+03 38 4.562500000000000E-01 1.769639894660358E+03 39 4.687500000000000E-01 1.739201816430822E+03 40 4.812500000000000E-01 1.714469531361879E+03 41 4.937500000000000E-01 1.708642187393927E+03 42 5.000000000000000E-01 1.705728515409952E+03 1.705728515409952E+03 = mínimo 5.000000000000000E-01 = X (m) 3.419977971673173E+03 = máximo 1.875000000000000E-02 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.326152833528350E+01 2 6.250000000000000E-03 9.307648443769038E+01 3 1.875000000000000E-02 9.270639664250460E+01 4 3.125000000000000E-02 9.369375328734162E+01 5 4.375000000000000E-02 9.296253127950115E+01 6 5.625000000000000E-02 9.360929490763169E+01 7 6.875000000000001E-02 9.289986654997207E+01 8 8.125000000000000E-02 9.363785849797495E+01 9 9.375000000000000E-02 9.302119006942871E+01 10 1.062500000000000E-01 9.415193014433079E+01 11 1.187500000000000E-01 9.549319708992529E+01 12 1.312500000000000E-01 1.011943484631246E+02 13 1.437500000000000E-01 1.087342741441291E+02 14 1.562500000000000E-01 1.214167659661840E+02 15 1.687500000000000E-01 1.374218735908437E+02 16 1.812500000000000E-01 1.611505885075655E+02 17 1.937500000000000E-01 1.919041891222602E+02 18 2.062500000000000E-01 2.354609443133205E+02 19 2.187500000000000E-01 2.928585645120463E+02 20 2.312500000000000E-01 3.717947851991691E+02 21 2.437500000000000E-01 4.749190346710770E+02 22 2.562500000000000E-01 6.103673605894330E+02 23 2.687500000000000E-01 7.788156011347901E+02 24 2.812500000000000E-01 9.830271350594794E+02 25 2.937500000000000E-01 1.214872018954892E+03 26 3.062500000000000E-01 1.466914545057559E+03 27 3.187500000000000E-01 1.722370750451914E+03 28 3.312500000000000E-01 1.970259354205323E+03 29 3.437500000000000E-01 2.196375352446425E+03 30 3.562500000000000E-01 2.397506996956307E+03 31 3.687500000000000E-01 2.568815861504491E+03 32 3.812500000000000E-01 2.714495098923111E+03 33 3.937500000000000E-01 2.834335645847471E+03 34 4.062500000000000E-01 2.934296520075275E+03 35 4.187500000000000E-01 3.014422709258065E+03 36 4.312500000000000E-01 3.080314267065364E+03 37 4.437500000000000E-01 3.130638270359665E+03 38 4.562500000000000E-01 3.171191312815117E+03 39 4.687500000000000E-01 3.197763784497095E+03 40 4.812500000000000E-01 3.218963185361696E+03 41 4.937500000000000E-01 3.223942521020049E+03 42 5.000000000000000E-01 3.226432188849225E+03 9.270639664250460E+01 = mínimo 1.875000000000000E-02 = X (m) 3.226432188849225E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.189496542909512E+00 2 6.250000000000000E-03 1.189871225295817E+00 3 1.875000000000000E-02 1.189163598541057E+00 4 3.125000000000000E-02 1.189836554490755E+00 5 4.375000000000000E-02 1.189149246238842E+00 6 5.625000000000000E-02 1.189841296043104E+00 7 6.875000000000001E-02 1.189152758183628E+00 8 8.125000000000000E-02 1.189839692270872E+00 9 9.375000000000000E-02 1.189145959170622E+00 10 1.062500000000000E-01 1.189810835064770E+00 11 1.187500000000000E-01 1.189007034848887E+00 12 1.312500000000000E-01 1.189403692805505E+00 13 1.437500000000000E-01 1.188202427353310E+00 14 1.562500000000000E-01 1.188074334425174E+00 15 1.687500000000000E-01 1.186116282847163E+00 16 1.812500000000000E-01 1.184785917631884E+00 17 1.937500000000000E-01 1.180871609413135E+00 18 2.062500000000000E-01 1.176246741369663E+00 19 2.187500000000000E-01 1.166758464948221E+00 20 2.312500000000000E-01 1.152597726919981E+00 21 2.437500000000000E-01 1.127169904357955E+00 22 2.562500000000000E-01 1.087227526653509E+00 23 2.687500000000000E-01 1.023280972381142E+00 24 2.812500000000000E-01 9.318440986486011E-01 25 2.937500000000000E-01 8.108433395739710E-01 26 3.062500000000000E-01 6.715930279624993E-01 27 3.187500000000000E-01 5.295863589637234E-01 28 3.312500000000000E-01 4.026158657885833E-01 29 3.437500000000000E-01 2.992227634921565E-01 30 3.562500000000000E-01 2.212462093679697E-01 31 3.687500000000000E-01 1.646493813781751E-01 32 3.812500000000000E-01 1.246698358887621E-01 33 3.937500000000000E-01 9.649696279669445E-02 34 4.062500000000000E-01 7.671482068913621E-02 35 4.187500000000000E-01 6.271121382325971E-02 36 4.312500000000000E-01 5.275132114904547E-02 37 4.437500000000000E-01 4.575456577217850E-02 38 4.562500000000000E-01 4.071514874406390E-02 39 4.687500000000000E-01 3.755057120428776E-02 40 4.812500000000000E-01 3.519656071928325E-02 41 4.937500000000000E-01 3.465539212355316E-02 42 5.000000000000000E-01 3.438342121483964E-02 3.438342121483964E-02 = mínimo 5.000000000000000E-01 = X (m) 1.189871225295817E+00 = máximo 6.250000000000000E-03 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 2.925234331020382E+03 2 6.250000000000000E-03 2.919430257554642E+03 3 1.875000000000000E-02 2.907822110623175E+03 4 3.125000000000000E-02 2.938791467505842E+03 5 4.375000000000000E-02 2.915856011062938E+03 6 5.625000000000000E-02 2.936142352095878E+03 7 6.875000000000001E-02 2.913890473703272E+03 8 8.125000000000000E-02 2.937038275598106E+03 9 9.375000000000000E-02 2.917695898411720E+03 10 1.062500000000000E-01 2.953162609558387E+03 11 1.187500000000000E-01 2.995232691256067E+03 12 1.312500000000000E-01 3.174054591571388E+03 13 1.437500000000000E-01 3.410551353410022E+03 14 1.562500000000000E-01 3.808349471701471E+03 15 1.687500000000000E-01 4.310364516179547E+03 16 1.812500000000000E-01 5.054637666581364E+03 17 1.937500000000000E-01 6.019252872083628E+03 18 2.062500000000000E-01 7.385450895074159E+03 19 2.187500000000000E-01 9.185780485648322E+03 20 2.312500000000000E-01 1.166168825637284E+04 21 2.437500000000000E-01 1.489627598295857E+04 22 2.562500000000000E-01 1.914473834603687E+04 23 2.687500000000000E-01 2.442827363694242E+04 24 2.812500000000000E-01 3.083355779311933E+04 25 2.937500000000000E-01 3.810558759949460E+04 26 3.062500000000000E-01 4.601113518586937E+04 27 3.187500000000000E-01 5.402375598922211E+04 28 3.312500000000000E-01 6.179901194858475E+04 29 3.437500000000000E-01 6.889134994319567E+04 30 3.562500000000000E-01 7.520003051145418E+04 31 3.687500000000000E-01 8.057329192727510E+04 32 3.812500000000000E-01 8.514265631815002E+04 33 3.937500000000000E-01 8.890156621775081E+04 34 4.062500000000000E-01 9.203693174595390E+04 35 4.187500000000000E-01 9.455016398217337E+04 36 4.312500000000000E-01 9.661691380348639E+04 37 4.437500000000000E-01 9.819537283947431E+04 38 4.562500000000000E-01 9.946735662673909E+04 39 4.687500000000000E-01 1.003008268455065E+05 40 4.812500000000000E-01 1.009657657148680E+05 41 4.937500000000000E-01 1.011219471958440E+05 42 5.000000000000000E-01 1.012000379363320E+05 2.907822110623175E+03 = mínimo 1.875000000000000E-02 = X (m) 1.012000379363320E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 1.999999999937567E+06 2 6.250000000000000E-03 2.000040862391036E+06 3 1.875000000000000E-02 1.999959354209161E+06 4 3.125000000000000E-02 2.000040973817834E+06 5 4.375000000000000E-02 1.999959215752616E+06 6 5.625000000000000E-02 2.000040931848778E+06 7 6.875000000000001E-02 1.999959242436744E+06 8 8.125000000000000E-02 2.000040945094009E+06 9 9.375000000000000E-02 1.999959194997946E+06 10 1.062500000000000E-01 2.000041349094918E+06 11 1.187500000000000E-01 1.999961147389973E+06 12 1.312500000000000E-01 2.000055494192536E+06 13 1.437500000000000E-01 1.999976573609521E+06 14 1.562500000000000E-01 2.000105680322950E+06 15 1.687500000000000E-01 2.000041404479744E+06 16 1.812500000000000E-01 2.000271756384443E+06 17 1.937500000000000E-01 2.000290405287481E+06 18 2.062500000000000E-01 2.000818117627159E+06 19 2.187500000000000E-01 2.001163763000285E+06 20 2.312500000000000E-01 2.002492315554218E+06 21 2.437500000000000E-01 2.003621212855867E+06 22 2.562500000000000E-01 2.006161356220718E+06 23 2.687500000000000E-01 2.007084164870275E+06 24 2.812500000000000E-01 2.007841933333776E+06 25 2.937500000000000E-01 2.002468522141848E+06 26 3.062500000000000E-01 1.996073950151109E+06 27 3.187500000000000E-01 1.984380018131615E+06 28 3.312500000000000E-01 1.979646116031645E+06 29 3.437500000000000E-01 1.973351594323655E+06 30 3.562500000000000E-01 1.976233273506539E+06 31 3.687500000000000E-01 1.972450696956857E+06 32 3.812500000000000E-01 1.974339792831702E+06 33 3.937500000000000E-01 1.965237380695058E+06 34 4.062500000000000E-01 1.961189481432513E+06 35 4.187500000000000E-01 1.946446018224819E+06 36 4.312500000000000E-01 1.938254396874995E+06 37 4.437500000000000E-01 1.922554750668619E+06 38 4.562500000000000E-01 1.913893891566857E+06 39 4.687500000000000E-01 1.902952495543534E+06 40 4.812500000000000E-01 1.896263351844694E+06 41 4.937500000000000E-01 1.894387502267133E+06 42 5.000000000000000E-01 1.893231282775510E+06 1.893231282775510E+06 = mínimo 5.000000000000000E-01 = X (m) 2.007841933333776E+06 = máximo 2.812500000000000E-01 = X (m) *** temperatura de estagnação *** ponto x (m) T_estagnação (K) 1 0.000000000000000E+00 3.420330082358686E+03 2 6.250000000000000E-03 3.419350625840957E+03 3 1.875000000000000E-02 3.421309549653518E+03 4 3.125000000000000E-02 3.419350758353055E+03 5 4.375000000000000E-02 3.421309481234345E+03 6 5.625000000000000E-02 3.419350739951252E+03 7 6.875000000000001E-02 3.421309494454382E+03 8 8.125000000000000E-02 3.419350746481924E+03 9 9.375000000000000E-02 3.421309468888321E+03 10 1.062500000000000E-01 3.419350887923893E+03 11 1.187500000000000E-01 3.421309547623441E+03 12 1.312500000000000E-01 3.419355678637728E+03 13 1.437500000000000E-01 3.421313314280551E+03 14 1.562500000000000E-01 3.419371916303385E+03 15 1.687500000000000E-01 3.421328108627853E+03 16 1.812500000000000E-01 3.419419880570908E+03 17 1.937500000000000E-01 3.421387744921526E+03 18 2.062500000000000E-01 3.419569103768838E+03 19 2.187500000000000E-01 3.421607162200143E+03 20 2.312500000000000E-01 3.420034890388609E+03 21 2.437500000000000E-01 3.422314251582912E+03 22 2.562500000000000E-01 3.421307160098242E+03 23 2.687500000000000E-01 3.424062697390379E+03 24 2.812500000000000E-01 3.423892229444910E+03 25 2.937500000000000E-01 3.427121928956060E+03 26 3.062500000000000E-01 3.428010948909734E+03 27 3.187500000000000E-01 3.432344387802917E+03 28 3.312500000000000E-01 3.436080717579263E+03 29 3.437500000000000E-01 3.444124512960770E+03 30 3.562500000000000E-01 3.453421691117007E+03 31 3.687500000000000E-01 3.466822968448742E+03 32 3.812500000000000E-01 3.481520572892685E+03 33 3.937500000000000E-01 3.498568322982960E+03 34 4.062500000000000E-01 3.515755559372100E+03 35 4.187500000000000E-01 3.533131111209707E+03 36 4.312500000000000E-01 3.549393660191741E+03 37 4.437500000000000E-01 3.563906467603299E+03 38 4.562500000000000E-01 3.576569251022587E+03 39 4.687500000000000E-01 3.585704583947519E+03 40 4.812500000000000E-01 3.593290549744847E+03 41 4.937500000000000E-01 3.595141039039831E+03 42 5.000000000000000E-01 3.596078029336285E+03 3.419350625840957E+03 = mínimo 6.250000000000000E-03 = X (m) 3.596078029336285E+03 = máximo 5.000000000000000E-01 = X (m)