MACH1D 5.0, congelado, mod=09, N = 40 Dia = (8/3/2006) Hora = 10:24:30 *** 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 *** 1.003752354387591E+00 = coeficiente de descarga 1.004207536925156E+00 = empuxo 1.000453480916458E+00 = velocidade de ejeção dos gases 9.962616731396056E-01 = velocidade característica (m/s) 1.004207536925156E+00 = coeficiente de empuxo 1.000453480916458E+00 = impulso específico 1.323454699002137E+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 6.618996527885875E-02 2 6.250000000000000E-03 6.606505928127913E-02 3 1.875000000000000E-02 6.577429441186403E-02 4 3.125000000000000E-02 6.651598604361696E-02 5 4.375000000000000E-02 6.596133817991397E-02 6 5.625000000000000E-02 6.645426620472286E-02 7 6.875000000000001E-02 6.591548298659099E-02 8 8.125000000000000E-02 6.647468347188527E-02 9 9.375000000000000E-02 6.600191444144096E-02 10 1.062500000000000E-01 6.683975450014598E-02 11 1.187500000000000E-01 6.775673952349050E-02 12 1.312500000000000E-01 7.184091663408880E-02 13 1.437500000000000E-01 7.715761163957452E-02 14 1.562500000000000E-01 8.620462951801992E-02 15 1.687500000000000E-01 9.753165051810611E-02 16 1.812500000000000E-01 1.144413312402226E-01 17 1.937500000000000E-01 1.362563860402778E-01 18 2.062500000000000E-01 1.673182544417584E-01 19 2.187500000000000E-01 2.081654492092223E-01 20 2.312500000000000E-01 2.646750870958176E-01 21 2.437500000000000E-01 3.386288299659281E-01 22 2.562500000000000E-01 4.367862477042532E-01 23 2.687500000000000E-01 5.601438644620065E-01 24 2.812500000000000E-01 7.132023191524040E-01 25 2.937500000000000E-01 8.920905165068499E-01 26 3.062500000000000E-01 1.095959862767541E+00 27 3.187500000000000E-01 1.314583084895580E+00 28 3.312500000000000E-01 1.543299140732297E+00 29 3.437500000000000E-01 1.769269936258670E+00 30 3.562500000000000E-01 1.989713756808696E+00 31 3.687500000000000E-01 2.194685341570162E+00 32 3.812500000000000E-01 2.386084517412409E+00 33 3.937500000000000E-01 2.556898453455035E+00 34 4.062500000000000E-01 2.711874412945641E+00 35 4.187500000000000E-01 2.844705183350583E+00 36 4.312500000000000E-01 2.961789164907232E+00 37 4.437500000000000E-01 3.055611270190407E+00 38 4.562500000000000E-01 3.135313723376145E+00 39 4.687500000000000E-01 3.188934305785744E+00 40 4.812500000000000E-01 3.233223151342951E+00 41 4.937500000000000E-01 3.243699183497280E+00 42 5.000000000000000E-01 3.248954833514561E+00 6.577429441186403E-02 = mínimo 1.875000000000000E-02 = X (m) 3.248954833514561E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994772086034638E+06 2 6.250000000000000E-03 1.994834176808377E+06 3 1.875000000000000E-02 1.994795267326399E+06 4 3.125000000000000E-02 1.994763063687992E+06 5 4.375000000000000E-02 1.994765760531652E+06 6 5.625000000000000E-02 1.994772797141184E+06 7 6.875000000000001E-02 1.994772994341738E+06 8 8.125000000000000E-02 1.994769577258787E+06 9 9.375000000000000E-02 1.994759359495927E+06 10 1.062500000000000E-01 1.994712004308503E+06 11 1.187500000000000E-01 1.994481643126039E+06 12 1.312500000000000E-01 1.993900203099347E+06 13 1.437500000000000E-01 1.992874804349242E+06 14 1.562500000000000E-01 1.991249626626762E+06 15 1.687500000000000E-01 1.988708616334362E+06 16 1.812500000000000E-01 1.984693086037665E+06 17 1.937500000000000E-01 1.978240579531892E+06 18 2.062500000000000E-01 1.967679231979313E+06 19 2.187500000000000E-01 1.950118018474573E+06 20 2.312500000000000E-01 1.920684107230978E+06 21 2.437500000000000E-01 1.871622120291945E+06 22 2.562500000000000E-01 1.791838479121659E+06 23 2.687500000000000E-01 1.668407589183761E+06 24 2.812500000000000E-01 1.491926375519919E+06 25 2.937500000000000E-01 1.265567518765483E+06 26 3.062500000000000E-01 1.010865395446477E+06 27 3.187500000000000E-01 7.619491811281770E+05 28 3.312500000000000E-01 5.484071469370516E+05 29 3.437500000000000E-01 3.840250125654357E+05 30 3.562500000000000E-01 2.665091311310136E+05 31 3.687500000000000E-01 1.863816398545904E+05 32 3.812500000000000E-01 1.327785963922995E+05 33 3.937500000000000E-01 9.718602900008927E+04 34 4.062500000000000E-01 7.333746466462359E+04 35 4.187500000000000E-01 5.730053274603702E+04 36 4.312500000000000E-01 4.628396687882951E+04 37 4.437500000000000E-01 3.886160696037520E+04 38 4.562500000000000E-01 3.362323925454767E+04 39 4.687500000000000E-01 3.043767886816284E+04 40 4.812500000000000E-01 2.808318580863843E+04 41 4.937500000000000E-01 2.755075919520294E+04 42 5.000000000000000E-01 2.728454588848520E+04 2.728454588848520E+04 = mínimo 5.000000000000000E-01 = X (m) 1.994834176808377E+06 = máximo 6.250000000000000E-03 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.418868928778483E+03 2 6.250000000000000E-03 3.417781747650794E+03 3 1.875000000000000E-02 3.419979921425569E+03 4 3.125000000000000E-02 3.417761973056273E+03 5 4.375000000000000E-02 3.419971625674197E+03 6 5.625000000000000E-02 3.417764687355382E+03 7 6.875000000000001E-02 3.419973657552732E+03 8 8.125000000000000E-02 3.417763790073628E+03 9 9.375000000000000E-02 3.419969826534273E+03 10 1.062500000000000E-01 3.417747725239576E+03 11 1.187500000000000E-01 3.419891619089653E+03 12 1.312500000000000E-01 3.417521811461393E+03 13 1.437500000000000E-01 3.419441359095756E+03 14 1.562500000000000E-01 3.416783127872487E+03 15 1.687500000000000E-01 3.418270905138863E+03 16 1.812500000000000E-01 3.414948736559660E+03 17 1.937500000000000E-01 3.415320559028967E+03 18 2.062500000000000E-01 3.410157591859822E+03 19 2.187500000000000E-01 3.407332264263139E+03 20 2.312500000000000E-01 3.396741319292094E+03 21 2.437500000000000E-01 3.384580102603989E+03 22 2.562500000000000E-01 3.358652205667819E+03 23 2.687500000000000E-01 3.322184142528179E+03 24 2.812500000000000E-01 3.260944290888054E+03 25 2.937500000000000E-01 3.177632867995574E+03 26 3.062500000000000E-01 3.062229434195026E+03 27 3.187500000000000E-01 2.925011922447318E+03 28 3.312500000000000E-01 2.766557214108245E+03 29 3.437500000000000E-01 2.604353702053540E+03 30 3.562500000000000E-01 2.441862703862468E+03 31 3.687500000000000E-01 2.292601507396156E+03 32 3.812500000000000E-01 2.154918495491799E+03 33 3.937500000000000E-01 2.036107228406288E+03 34 4.062500000000000E-01 1.931131229782440E+03 35 4.187500000000000E-01 1.844529917454376E+03 36 4.312500000000000E-01 1.770241843562810E+03 37 4.437500000000000E-01 1.712686399969360E+03 38 4.562500000000000E-01 1.664808287337768E+03 39 4.687500000000000E-01 1.633365697394187E+03 40 4.812500000000000E-01 1.607707836736392E+03 41 4.937500000000000E-01 1.601700694332545E+03 42 5.000000000000000E-01 1.598697123130622E+03 1.598697123130622E+03 = mínimo 5.000000000000000E-01 = X (m) 3.419979921425569E+03 = máximo 1.875000000000000E-02 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.705955246833621E+01 2 6.250000000000000E-03 9.686144433840870E+01 3 1.875000000000000E-02 9.646522807855418E+01 4 3.125000000000000E-02 9.752229791150469E+01 5 4.375000000000000E-02 9.673943445050574E+01 6 5.625000000000000E-02 9.743184502060028E+01 7 6.875000000000001E-02 9.667221071997497E+01 8 8.125000000000000E-02 9.746176735807401E+01 9 9.375000000000000E-02 9.679891921657524E+01 10 1.062500000000000E-01 9.799679225506370E+01 11 1.187500000000000E-01 9.937145664581777E+01 12 1.312500000000000E-01 1.053258444474803E+02 13 1.437500000000000E-01 1.131514663746888E+02 14 1.562500000000000E-01 1.263712039880055E+02 15 1.687500000000000E-01 1.430061919737250E+02 16 1.812500000000000E-01 1.677209350661993E+02 17 1.937500000000000E-01 1.997028125492203E+02 18 2.062500000000000E-01 2.450483985571013E+02 19 2.187500000000000E-01 3.047491859532745E+02 20 2.312500000000000E-01 3.868931962203545E+02 21 2.437500000000000E-01 4.941359072061508E+02 22 2.562500000000000E-01 6.349973139915056E+02 23 2.687500000000000E-01 8.100358029040365E+02 24 2.812500000000000E-01 1.022122802342608E+03 25 2.937500000000000E-01 1.262583087460583E+03 26 3.062500000000000E-01 1.523639716703392E+03 27 3.187500000000000E-01 1.787616555502015E+03 28 3.312500000000000E-01 2.043161581463302E+03 29 3.437500000000000E-01 2.275439742887663E+03 30 3.562500000000000E-01 2.481376079732426E+03 31 3.687500000000000E-01 2.656020251045334E+03 32 3.812500000000000E-01 2.804027174782437E+03 33 3.937500000000000E-01 2.925238248483576E+03 34 4.062500000000000E-01 3.026057995741398E+03 35 4.187500000000000E-01 3.106516649298799E+03 36 4.312500000000000E-01 3.172584219153140E+03 37 4.437500000000000E-01 3.222804287916602E+03 38 4.562500000000000E-01 3.263310453244598E+03 39 4.687500000000000E-01 3.289689585238843E+03 40 4.812500000000000E-01 3.310821125432442E+03 41 4.937500000000000E-01 3.315753090343041E+03 42 5.000000000000000E-01 3.318219072798340E+03 9.646522807855418E+01 = mínimo 1.875000000000000E-02 = X (m) 3.318219072798340E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.108679865196566E+00 2 6.250000000000000E-03 1.109067051895316E+00 3 1.875000000000000E-02 1.108332586405752E+00 4 3.125000000000000E-02 1.109033931812266E+00 5 4.375000000000000E-02 1.108318880489288E+00 6 5.625000000000000E-02 1.109038462577159E+00 7 6.875000000000001E-02 1.108322241214142E+00 8 8.125000000000000E-02 1.109036963572331E+00 9 9.375000000000000E-02 1.108315907037396E+00 10 1.062500000000000E-01 1.109010167381083E+00 11 1.187500000000000E-01 1.108186945860013E+00 12 1.312500000000000E-01 1.108632106932648E+00 13 1.437500000000000E-01 1.107439948173556E+00 14 1.562500000000000E-01 1.107397714609689E+00 15 1.687500000000000E-01 1.105503205723584E+00 16 1.812500000000000E-01 1.104344309072945E+00 17 1.937500000000000E-01 1.100634097927349E+00 18 2.062500000000000E-01 1.096415538988823E+00 19 2.187500000000000E-01 1.087531234104508E+00 20 2.312500000000000E-01 1.074456402259740E+00 21 2.437500000000000E-01 1.050772508622839E+00 22 2.562500000000000E-01 1.013746000617863E+00 23 2.687500000000000E-01 9.542755246722816E-01 24 2.812500000000000E-01 8.693593748222199E-01 25 2.937500000000000E-01 7.567926933219443E-01 26 3.062500000000000E-01 6.272648223522516E-01 27 3.187500000000000E-01 4.949868887138864E-01 28 3.312500000000000E-01 3.766680460938260E-01 29 3.437500000000000E-01 2.801914477304960E-01 30 3.562500000000000E-01 2.073892214040807E-01 31 3.687500000000000E-01 1.544791546737493E-01 32 3.812500000000000E-01 1.170826528554606E-01 33 3.937500000000000E-01 9.069816927543377E-02 34 4.062500000000000E-01 7.216214502504886E-02 35 4.187500000000000E-01 5.902938866715084E-02 36 4.312500000000000E-01 4.968134004740371E-02 37 4.437500000000000E-01 4.311597737579524E-02 38 4.562500000000000E-01 3.837696722471778E-02 39 4.687500000000000E-01 3.540979638450761E-02 40 4.812500000000000E-01 3.319208806532280E-02 41 4.937500000000000E-01 3.268492828680845E-02 42 5.000000000000000E-01 3.242991914886794E-02 3.242991914886794E-02 = mínimo 5.000000000000000E-01 = X (m) 1.109067051895316E+00 = máximo 6.250000000000000E-03 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 2.953079642159903E+03 2 6.250000000000000E-03 2.947052115032925E+03 3 1.875000000000000E-02 2.934997060778982E+03 4 3.125000000000000E-02 2.967158876124730E+03 5 4.375000000000000E-02 2.943339910443623E+03 6 5.625000000000000E-02 2.964406807071131E+03 7 6.875000000000001E-02 2.941294598827693E+03 8 8.125000000000000E-02 2.965317207370661E+03 9 9.375000000000000E-02 2.945149760656520E+03 10 1.062500000000000E-01 2.981595575559762E+03 11 1.187500000000000E-01 3.023420345238794E+03 12 1.312500000000000E-01 3.204585217231699E+03 13 1.437500000000000E-01 3.442683211841952E+03 14 1.562500000000000E-01 3.844899552508852E+03 15 1.687500000000000E-01 4.351026390299794E+03 16 1.812500000000000E-01 5.102983336643715E+03 17 1.937500000000000E-01 6.076046048260609E+03 18 2.062500000000000E-01 7.455705478952602E+03 19 2.187500000000000E-01 9.272128235878776E+03 20 2.312500000000000E-01 1.177139593571929E+04 21 2.437500000000000E-01 1.503430266182962E+04 22 2.562500000000000E-01 1.932007301791631E+04 23 2.687500000000000E-01 2.464569615398688E+04 24 2.812500000000000E-01 3.109853654404683E+04 25 2.937500000000000E-01 3.841464665038094E+04 26 3.062500000000000E-01 4.635740960016191E+04 27 3.187500000000000E-01 5.438902121213853E+04 28 3.312500000000000E-01 6.216409120401477E+04 29 3.437500000000000E-01 6.923125659244353E+04 30 3.562500000000000E-01 7.549696036349329E+04 31 3.687500000000000E-01 8.081058621288389E+04 32 3.812500000000000E-01 8.531376207009114E+04 33 3.937500000000000E-01 8.900166238539448E+04 34 4.062500000000000E-01 9.206914761052890E+04 35 4.187500000000000E-01 9.451713759001566E+04 36 4.312500000000000E-01 9.652727250803397E+04 37 4.437500000000000E-01 9.805524022395385E+04 38 4.562500000000000E-01 9.928765814851715E+04 39 4.687500000000000E-01 1.000902548604221E+05 40 4.812500000000000E-01 1.007331912800348E+05 41 4.937500000000000E-01 1.008832484851521E+05 42 5.000000000000000E-01 1.009582770877107E+05 2.934997060778982E+03 = mínimo 1.875000000000000E-02 = X (m) 1.009582770877107E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 1.999999999927593E+06 2 6.250000000000000E-03 2.000042567902968E+06 3 1.875000000000000E-02 1.999957664728662E+06 4 3.125000000000000E-02 2.000042688731481E+06 5 4.375000000000000E-02 1.999957516080627E+06 6 5.625000000000000E-02 2.000042643634076E+06 7 6.875000000000001E-02 1.999957544832038E+06 8 8.125000000000000E-02 2.000042657549436E+06 9 9.375000000000000E-02 1.999957494808534E+06 10 1.062500000000000E-01 2.000043073637958E+06 11 1.187500000000000E-01 1.999959426154415E+06 12 1.312500000000000E-01 2.000057466653576E+06 13 1.437500000000000E-01 1.999974781794956E+06 14 1.562500000000000E-01 2.000108464726967E+06 15 1.687500000000000E-01 2.000039729655994E+06 16 1.812500000000000E-01 2.000276807976250E+06 17 1.937500000000000E-01 2.000290012588902E+06 18 2.062500000000000E-01 2.000829668899391E+06 19 2.187500000000000E-01 2.001168929405229E+06 20 2.312500000000000E-01 2.002521473949081E+06 21 2.437500000000000E-01 2.003640435953480E+06 22 2.562500000000000E-01 2.006221671639762E+06 23 2.687500000000000E-01 2.007100521659863E+06 24 2.812500000000000E-01 2.007886866581173E+06 25 2.937500000000000E-01 2.002349163853941E+06 26 3.062500000000000E-01 1.995952860722364E+06 27 3.187500000000000E-01 1.983984271483941E+06 28 3.312500000000000E-01 1.979301596392386E+06 29 3.437500000000000E-01 1.972541193444761E+06 30 3.562500000000000E-01 1.975137695721465E+06 31 3.687500000000000E-01 1.970095378264169E+06 32 3.812500000000000E-01 1.970735269622064E+06 33 3.937500000000000E-01 1.959324623563688E+06 34 4.062500000000000E-01 1.953135749080449E+06 35 4.187500000000000E-01 1.935560379739081E+06 36 4.312500000000000E-01 1.924954995246700E+06 37 4.437500000000000E-01 1.906717170036773E+06 38 4.562500000000000E-01 1.895990878227603E+06 39 4.687500000000000E-01 1.883455276337850E+06 40 4.812500000000000E-01 1.875451262350492E+06 41 4.937500000000000E-01 1.873259854203968E+06 42 5.000000000000000E-01 1.871943634461298E+06 1.871943634461298E+06 = mínimo 5.000000000000000E-01 = X (m) 2.007886866581173E+06 = máximo 2.812500000000000E-01 = X (m) *** temperatura de estagnação *** ponto x (m) T_estagnação (K) 1 0.000000000000000E+00 3.420330094612490E+03 2 6.250000000000000E-03 3.419237024979205E+03 3 1.875000000000000E-02 3.421423176670176E+03 4 3.125000000000000E-02 3.419237177171489E+03 5 4.375000000000000E-02 3.421423098138480E+03 6 5.625000000000000E-02 3.419237156029675E+03 7 6.875000000000001E-02 3.421423113346054E+03 8 8.125000000000000E-02 3.419237163366485E+03 9 9.375000000000000E-02 3.421423084674675E+03 10 1.062500000000000E-01 3.419237320418317E+03 11 1.187500000000000E-01 3.421423152814963E+03 12 1.312500000000000E-01 3.419242565474317E+03 13 1.437500000000000E-01 3.421427144397036E+03 14 1.562500000000000E-01 3.419260318212996E+03 15 1.687500000000000E-01 3.421442985215285E+03 16 1.812500000000000E-01 3.419312619303445E+03 17 1.937500000000000E-01 3.421507268308525E+03 18 2.062500000000000E-01 3.419474995098666E+03 19 2.187500000000000E-01 3.421744488789156E+03 20 2.312500000000000E-01 3.419981218285523E+03 21 2.437500000000000E-01 3.422510143597428E+03 22 2.562500000000000E-01 3.421363950102733E+03 23 2.687500000000000E-01 3.424407984125104E+03 24 2.812500000000000E-01 3.424185966232739E+03 25 2.937500000000000E-01 3.427768018080633E+03 26 3.062500000000000E-01 3.428780644105655E+03 27 3.187500000000000E-01 3.433699420973675E+03 28 3.312500000000000E-01 3.438067480153410E+03 29 3.437500000000000E-01 3.447345884909871E+03 30 3.562500000000000E-01 3.458171240486336E+03 31 3.687500000000000E-01 3.473644497865805E+03 32 3.812500000000000E-01 3.490670442440462E+03 33 3.937500000000000E-01 3.510296861964606E+03 34 4.062500000000000E-01 3.530119446253222E+03 35 4.187500000000000E-01 3.550045644772559E+03 36 4.312500000000000E-01 3.568733359695393E+03 37 4.437500000000000E-01 3.585307480822788E+03 38 4.562500000000000E-01 3.599823068127886E+03 39 4.687500000000000E-01 3.610213729695508E+03 40 4.812500000000000E-01 3.618894756035885E+03 41 4.937500000000000E-01 3.620997399675315E+03 42 5.000000000000000E-01 3.622061517112578E+03 3.419237024979205E+03 = mínimo 6.250000000000000E-03 = X (m) 3.622061517112578E+03 = máximo 5.000000000000000E-01 = X (m)