MACH1D 5.0, CONGELADO, N = 40, mod.03 Dia = (29/5/2006) Hora = 9:28:15 *** 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 *** 1.013825506714922E+00 = coeficiente de descarga 1.003786755714233E+00 = empuxo 9.900981471326195E-01 = velocidade de ejeção dos gases 9.863630312875828E-01 = velocidade característica (m/s) 1.003786755714233E+00 = coeficiente de empuxo 9.900981471326193E-01 = impulso específico 1.259671416025391E+08 = taxa de transferência de calor advectivo na saída da tubeira (W) -7.535879784103303E-02 = razão q_wall / q_advectivo na saída da tubeira *** número de Mach *** ponto x (m) M (adimensional) 1 0.000000000000000E+00 6.685794293461275E-02 2 6.250000000000000E-03 6.672369295311092E-02 3 1.875000000000000E-02 6.641401375221787E-02 4 3.125000000000000E-02 6.714499440733251E-02 5 4.375000000000000E-02 6.656912757849157E-02 6 5.625000000000000E-02 6.704967572591443E-02 7 6.875000000000001E-02 6.648945396518405E-02 8 8.125000000000000E-02 6.703715886791148E-02 9 9.375000000000000E-02 6.654306204623804E-02 10 1.062500000000000E-01 6.737148293380676E-02 11 1.187500000000000E-01 6.827618526001043E-02 12 1.312500000000000E-01 7.237309263535016E-02 13 1.437500000000000E-01 7.770147627083682E-02 14 1.562500000000000E-01 8.678261394776321E-02 15 1.687500000000000E-01 9.814074080131309E-02 16 1.812500000000000E-01 1.151073149661688E-01 17 1.937500000000000E-01 1.369771437067301E-01 18 2.062500000000000E-01 1.681239491942829E-01 19 2.187500000000000E-01 2.090535719503181E-01 20 2.312500000000000E-01 2.656805287995666E-01 21 2.437500000000000E-01 3.397467472407995E-01 22 2.562500000000000E-01 4.380592711955071E-01 23 2.687500000000000E-01 5.615688230253275E-01 24 2.812500000000000E-01 7.148507987901865E-01 25 2.937500000000000E-01 8.939958690101908E-01 26 3.062500000000000E-01 1.098300502233894E+00 27 3.187500000000000E-01 1.317523822031192E+00 28 3.312500000000000E-01 1.547220897361747E+00 29 3.437500000000000E-01 1.774474272824990E+00 30 3.562500000000000E-01 1.996710201083157E+00 31 3.687500000000000E-01 2.203779927255409E+00 32 3.812500000000000E-01 2.397773421572667E+00 33 3.937500000000000E-01 2.571350824723216E+00 34 4.062500000000000E-01 2.729457132001765E+00 35 4.187500000000000E-01 2.865340536251447E+00 36 4.312500000000000E-01 2.985658914196786E+00 37 4.437500000000000E-01 3.082336922349850E+00 38 4.562500000000000E-01 3.164916625641266E+00 39 4.687500000000000E-01 3.220784935287441E+00 40 4.812500000000000E-01 3.267275087508185E+00 41 4.937500000000000E-01 3.279352102616441E+00 42 5.000000000000000E-01 3.285416711860244E+00 6.641401375221787E-02 = mínimo 1.875000000000000E-02 = X (m) 3.285416711860244E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994666171381216E+06 2 6.250000000000000E-03 1.994731797268565E+06 3 1.875000000000000E-02 1.994697061879792E+06 4 3.125000000000000E-02 1.994669151262765E+06 5 4.375000000000000E-02 1.994676746413151E+06 6 5.625000000000000E-02 1.994688764688287E+06 7 6.875000000000001E-02 1.994693812293018E+06 8 8.125000000000000E-02 1.994695190499054E+06 9 9.375000000000000E-02 1.994689661344928E+06 10 1.062500000000000E-01 1.994646469459107E+06 11 1.187500000000000E-01 1.994417682328106E+06 12 1.312500000000000E-01 1.993833570589368E+06 13 1.437500000000000E-01 1.992801257495244E+06 14 1.562500000000000E-01 1.991164581047345E+06 15 1.687500000000000E-01 1.988605917224934E+06 16 1.812500000000000E-01 1.984563972628637E+06 17 1.937500000000000E-01 1.978072327951353E+06 18 2.062500000000000E-01 1.967453577849037E+06 19 2.187500000000000E-01 1.949808892612554E+06 20 2.312500000000000E-01 1.920256182816710E+06 21 2.437500000000000E-01 1.871030502549510E+06 22 2.562500000000000E-01 1.791033592713960E+06 23 2.687500000000000E-01 1.667344883410424E+06 24 2.812500000000000E-01 1.490581544771129E+06 25 2.937500000000000E-01 1.263949791463212E+06 26 3.062500000000000E-01 1.009021739346042E+06 27 3.187500000000000E-01 7.599736599707025E+05 28 3.312500000000000E-01 5.464107179007933E+05 29 3.437500000000000E-01 3.821230482042767E+05 30 3.562500000000000E-01 2.647668302584214E+05 31 3.687500000000000E-01 1.848332226914112E+05 32 3.812500000000000E-01 1.314164060290458E+05 33 3.937500000000000E-01 9.599453389609170E+04 34 4.062500000000000E-01 7.228573555962558E+04 35 4.187500000000000E-01 5.636659148698851E+04 36 4.312500000000000E-01 4.543755346511065E+04 37 4.437500000000000E-01 3.808669366805028E+04 38 4.562500000000000E-01 3.289482999937767E+04 39 4.687500000000000E-01 2.974188930808504E+04 40 4.812500000000000E-01 2.740403679086164E+04 41 4.937500000000000E-01 2.685932188994322E+04 42 5.000000000000000E-01 2.658696443948415E+04 2.658696443948415E+04 = mínimo 5.000000000000000E-01 = X (m) 1.994731797268565E+06 = máximo 6.250000000000000E-03 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.418839256320103E+03 2 6.250000000000000E-03 3.416941073000477E+03 3 1.875000000000000E-02 3.417486374255663E+03 4 3.125000000000000E-02 3.413644717980959E+03 5 4.375000000000000E-02 3.414207876764865E+03 6 5.625000000000000E-02 3.410376441892480E+03 7 6.875000000000001E-02 3.410945011157937E+03 8 8.125000000000000E-02 3.407109564726194E+03 9 9.375000000000000E-02 3.407681429681903E+03 10 1.062500000000000E-01 3.403833000373156E+03 11 1.187500000000000E-01 3.404308549924833E+03 12 1.312500000000000E-01 3.400013393909345E+03 13 1.437500000000000E-01 3.399766394881325E+03 14 1.562500000000000E-01 3.394575743835900E+03 15 1.687500000000000E-01 3.393280545983127E+03 16 1.812500000000000E-01 3.386833617548672E+03 17 1.937500000000000E-01 3.383912185233178E+03 18 2.062500000000000E-01 3.375200918518486E+03 19 2.187500000000000E-01 3.368796176154898E+03 20 2.312500000000000E-01 3.354518633254129E+03 21 2.437500000000000E-01 3.338855662634939E+03 22 2.562500000000000E-01 3.309569528633504E+03 23 2.687500000000000E-01 3.270250669060243E+03 24 2.812500000000000E-01 3.206618947771031E+03 25 2.937500000000000E-01 3.121656036154721E+03 26 3.062500000000000E-01 3.005041422968221E+03 27 3.187500000000000E-01 2.867054664137771E+03 28 3.312500000000000E-01 2.707830934399508E+03 29 3.437500000000000E-01 2.544936279526340E+03 30 3.562500000000000E-01 2.381544317084305E+03 31 3.687500000000000E-01 2.231380178323680E+03 32 3.812500000000000E-01 2.092600891563149E+03 33 3.937500000000000E-01 1.972744230581233E+03 34 4.062500000000000E-01 1.866604919679177E+03 35 4.187500000000000E-01 1.778956404605522E+03 36 4.312500000000000E-01 1.703556485273141E+03 37 4.437500000000000E-01 1.645035032895231E+03 38 4.562500000000000E-01 1.596144919805122E+03 39 4.687500000000000E-01 1.563774320875823E+03 40 4.812500000000000E-01 1.537160502298638E+03 41 4.937500000000000E-01 1.529950086435067E+03 42 5.000000000000000E-01 1.526344878503281E+03 1.526344878503281E+03 = mínimo 5.000000000000000E-01 = X (m) 3.418839256320103E+03 = máximo 0.000000000000000E+00 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.803986775417160E+01 2 6.250000000000000E-03 9.781664291727520E+01 3 1.875000000000000E-02 9.737019324348255E+01 4 3.125000000000000E-02 9.838818369043247E+01 5 4.375000000000000E-02 9.755216798275454E+01 6 5.625000000000000E-02 9.820286366592971E+01 7 6.875000000000001E-02 9.739022337380111E+01 8 8.125000000000000E-02 9.813888979846837E+01 9 9.375000000000000E-02 9.742349001268481E+01 10 1.062500000000000E-01 9.858229684699722E+01 11 1.187500000000000E-01 9.991288667381150E+01 12 1.312500000000000E-01 1.058433089193428E+02 13 1.437500000000000E-01 1.136318930852273E+02 14 1.562500000000000E-01 1.268182660475864E+02 15 1.687500000000000E-01 1.433897220278266E+02 16 1.812500000000000E-01 1.680238829416620E+02 17 1.937500000000000E-01 1.998639320556668E+02 18 2.062500000000000E-01 2.450038982666075E+02 19 2.187500000000000E-01 3.043693986516947E+02 20 2.312500000000000E-01 3.860190771587684E+02 21 2.437500000000000E-01 4.925144888525260E+02 22 2.562500000000000E-01 6.323278406538122E+02 23 2.687500000000000E-01 8.059314191166120E+02 24 2.812500000000000E-01 1.016200995054640E+03 25 2.937500000000000E-01 1.254470522533904E+03 26 3.062500000000000E-01 1.513085338140643E+03 27 3.187500000000000E-01 1.774458814454933E+03 28 3.312500000000000E-01 2.027392665518978E+03 29 3.437500000000000E-01 2.257104254595754E+03 30 3.562500000000000E-01 2.460622262098367E+03 31 3.687500000000000E-01 2.632994238179066E+03 32 3.812500000000000E-01 2.778934413353773E+03 33 3.937500000000000E-01 2.898257332133467E+03 34 4.062500000000000E-01 2.997410079161179E+03 35 4.187500000000000E-01 3.076386165911258E+03 36 4.312500000000000E-01 3.141200425110646E+03 37 4.437500000000000E-01 3.190355215806483E+03 38 4.562500000000000E-01 3.230024999186312E+03 39 4.687500000000000E-01 3.255796934884446E+03 40 4.812500000000000E-01 3.276492087442446E+03 41 4.937500000000000E-01 3.281412950378830E+03 42 5.000000000000000E-01 3.283873381847022E+03 9.737019324348255E+01 = mínimo 1.875000000000000E-02 = X (m) 3.283873381847022E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.108608670504738E+00 2 6.250000000000000E-03 1.109261020409765E+00 3 1.875000000000000E-02 1.109064711302229E+00 4 3.125000000000000E-02 1.110297297448996E+00 5 4.375000000000000E-02 1.110118385733236E+00 6 5.625000000000000E-02 1.111372259853346E+00 7 6.875000000000001E-02 1.111189817472486E+00 8 8.125000000000000E-02 1.112441473085735E+00 9 9.375000000000000E-02 1.112251704029754E+00 10 1.062500000000000E-01 1.113485122711728E+00 11 1.187500000000000E-01 1.113201879860139E+00 12 1.312500000000000E-01 1.114281722307114E+00 13 1.437500000000000E-01 1.113785712343694E+00 14 1.562500000000000E-01 1.114572659136042E+00 15 1.687500000000000E-01 1.113565303579361E+00 16 1.812500000000000E-01 1.113417317339065E+00 17 1.937500000000000E-01 1.110733355111336E+00 18 2.062500000000000E-01 1.107622052976165E+00 19 2.187500000000000E-01 1.099775503588370E+00 20 2.312500000000000E-01 1.087716443967570E+00 21 2.437500000000000E-01 1.064804684804469E+00 22 2.562500000000000E-01 1.028297909493048E+00 23 2.687500000000000E-01 9.687933043930534E-01 24 2.812500000000000E-01 8.832733273328562E-01 25 2.937500000000000E-01 7.693633697094184E-01 26 3.062500000000000E-01 6.380236700941290E-01 27 3.187500000000000E-01 5.036737270585371E-01 28 3.312500000000000E-01 3.834285037342161E-01 29 3.437500000000000E-01 2.853074099634342E-01 30 3.562500000000000E-01 2.112475298167892E-01 31 3.687500000000000E-01 1.573958203925628E-01 32 3.812500000000000E-01 1.193300741770240E-01 33 3.937500000000000E-01 9.246182323475617E-02 34 4.062500000000000E-01 7.358459927699929E-02 35 4.187500000000000E-01 6.020647476609996E-02 36 4.312500000000000E-01 5.068099489431774E-02 37 4.437500000000000E-01 4.399312902155122E-02 38 4.562500000000000E-01 3.915994354029580E-02 39 4.687500000000000E-01 3.613942233904626E-02 40 4.812500000000000E-01 3.387521465997731E-02 41 4.937500000000000E-01 3.335834624229471E-02 42 5.000000000000000E-01 3.309808077813375E-02 3.309808077813375E-02 = mínimo 5.000000000000000E-01 = X (m) 1.114572659136042E+00 = máximo 1.562500000000000E-01 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 3.012841108280953E+03 2 6.250000000000000E-03 3.005981236063692E+03 3 1.875000000000000E-02 2.992261491629175E+03 4 3.125000000000000E-02 3.023545126916183E+03 5 4.375000000000000E-02 2.997853716381273E+03 6 5.625000000000000E-02 3.017850098956643E+03 7 6.875000000000001E-02 2.992877033055437E+03 8 8.125000000000000E-02 3.015884132435488E+03 9 9.375000000000000E-02 2.993899342647025E+03 10 1.062500000000000E-01 3.029510374637884E+03 11 1.187500000000000E-01 3.070400431104896E+03 12 1.312500000000000E-01 3.252646902260914E+03 13 1.437500000000000E-01 3.491996129139941E+03 14 1.562500000000000E-01 3.897223588541830E+03 15 1.687500000000000E-01 4.406477272222074E+03 16 1.812500000000000E-01 5.163504126392356E+03 17 1.937500000000000E-01 6.141973508877591E+03 18 2.062500000000000E-01 7.529159650006883E+03 19 2.187500000000000E-01 9.353507479833987E+03 20 2.312500000000000E-01 1.186266537160979E+04 21 2.437500000000000E-01 1.513535189745024E+04 22 2.562500000000000E-01 1.943192454124125E+04 23 2.687500000000000E-01 2.476689703476693E+04 24 2.812500000000000E-01 3.122864404359985E+04 25 2.937500000000000E-01 3.855085126077206E+04 26 3.062500000000000E-01 4.649828494789398E+04 27 3.187500000000000E-01 5.453049441627616E+04 28 3.312500000000000E-01 6.230334766075782E+04 29 3.437500000000000E-01 6.936256279917895E+04 30 3.562500000000000E-01 7.561682887812531E+04 31 3.687500000000000E-01 8.091395327606650E+04 32 3.812500000000000E-01 8.539880794986703E+04 33 3.937500000000000E-01 8.906569370863769E+04 34 4.062500000000000E-01 9.211273445937718E+04 35 4.187500000000000E-01 9.453973080466426E+04 36 4.312500000000000E-01 9.653152321515925E+04 37 4.437500000000000E-01 9.804208802384202E+04 38 4.562500000000000E-01 9.926117120766512E+04 39 4.687500000000000E-01 1.000531627626313E+05 40 4.812500000000000E-01 1.006891408376450E+05 41 4.937500000000000E-01 1.008403627689120E+05 42 5.000000000000000E-01 1.009159737345456E+05 2.992261491629175E+03 = mínimo 1.875000000000000E-02 = X (m) 1.009159737345456E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 1.999999999923088E+06 2 6.250000000000000E-03 2.000044465048408E+06 3 1.875000000000000E-02 1.999960358830671E+06 4 3.125000000000000E-02 2.000049181202778E+06 5 4.375000000000000E-02 1.999964781264668E+06 6 5.625000000000000E-02 2.000053718550232E+06 7 6.875000000000001E-02 1.999969377410640E+06 8 8.125000000000000E-02 2.000058309147146E+06 9 9.375000000000000E-02 1.999973885498521E+06 10 1.062500000000000E-01 2.000063298324328E+06 11 1.187500000000000E-01 1.999980477912423E+06 12 1.312500000000000E-01 2.000083290425799E+06 13 1.437500000000000E-01 2.000002835715326E+06 14 1.562500000000000E-01 2.000144238286277E+06 15 1.687500000000000E-01 2.000081310293763E+06 16 1.812500000000000E-01 2.000333139523803E+06 17 1.937500000000000E-01 2.000361100726140E+06 18 2.062500000000000E-01 2.000932947580561E+06 19 2.187500000000000E-01 2.001310752293669E+06 20 2.312500000000000E-01 2.002740583091191E+06 21 2.437500000000000E-01 2.003960506034847E+06 22 2.562500000000000E-01 2.006729697921351E+06 23 2.687500000000000E-01 2.007850708824019E+06 24 2.812500000000000E-01 2.009046761955653E+06 25 2.937500000000000E-01 2.003996202529434E+06 26 3.062500000000000E-01 1.998406023550524E+06 27 3.187500000000000E-01 1.987468829776804E+06 28 3.312500000000000E-01 1.984585608816652E+06 29 3.437500000000000E-01 1.980147081996220E+06 30 3.562500000000000E-01 1.986198612761748E+06 31 3.687500000000000E-01 1.985005462222533E+06 32 3.812500000000000E-01 1.990484885788946E+06 33 3.937500000000000E-01 1.983753467674710E+06 34 4.062500000000000E-01 1.982828170630676E+06 35 4.187500000000000E-01 1.969812924047708E+06 36 4.312500000000000E-01 1.963986372032807E+06 37 4.437500000000000E-01 1.949604099980823E+06 38 4.562500000000000E-01 1.942686620892653E+06 39 4.687500000000000E-01 1.933254826003596E+06 40 4.812500000000000E-01 1.928141864366043E+06 41 4.937500000000000E-01 1.928852713315557E+06 42 5.000000000000000E-01 1.928970975655599E+06 1.928141864366043E+06 = mínimo 4.812500000000000E-01 = X (m) 2.009046761955653E+06 = máximo 2.812500000000000E-01 = X (m) *** temperatura de estagnação *** ponto x (m) T_estagnação (K) 1 0.000000000000000E+00 3.420330098499414E+03 2 6.250000000000000E-03 3.418425258970154E+03 3 1.875000000000000E-02 3.418957007456158E+03 4 3.125000000000000E-02 3.415146518755439E+03 5 4.375000000000000E-02 3.415684227040498E+03 6 5.625000000000000E-02 3.411872808316104E+03 7 6.875000000000001E-02 3.412416677534601E+03 8 8.125000000000000E-02 3.408604200072283E+03 9 9.375000000000000E-02 3.409154316042870E+03 10 1.062500000000000E-01 3.405341393237908E+03 11 1.187500000000000E-01 3.405857902911189E+03 12 1.312500000000000E-01 3.401752466754179E+03 13 1.437500000000000E-01 3.401770849624209E+03 14 1.562500000000000E-01 3.397072986472236E+03 15 1.687500000000000E-01 3.396473248881629E+03 16 1.812500000000000E-01 3.391218833110911E+03 17 1.937500000000000E-01 3.390117663260240E+03 18 2.062500000000000E-01 3.384529688811473E+03 19 2.187500000000000E-01 3.383197667783973E+03 20 2.312500000000000E-01 3.377698357357772E+03 21 2.437500000000000E-01 3.376616768903477E+03 22 2.562500000000000E-01 3.371898625944874E+03 23 2.687500000000000E-01 3.371694543278767E+03 24 2.812500000000000E-01 3.368415183797726E+03 25 2.937500000000000E-01 3.369323149932636E+03 26 3.062500000000000E-01 3.367726588704684E+03 27 3.187500000000000E-01 3.370136051281592E+03 28 3.312500000000000E-01 3.371805699290534E+03 29 3.437500000000000E-01 3.378403690340855E+03 30 3.562500000000000E-01 3.386480016827672E+03 31 3.687500000000000E-01 3.399396558169200E+03 32 3.812500000000000E-01 3.413999870090583E+03 33 3.937500000000000E-01 3.431514175778665E+03 34 4.062500000000000E-01 3.449456056059933E+03 35 4.187500000000000E-01 3.467813610524056E+03 36 4.312500000000000E-01 3.485167870018876E+03 37 4.437500000000000E-01 3.500645604795995E+03 38 4.562500000000000E-01 3.514259238511055E+03 39 4.687500000000000E-01 3.523873799762369E+03 40 4.812500000000000E-01 3.531908241756325E+03 41 4.937500000000000E-01 3.533361326214445E+03 42 5.000000000000000E-01 3.534104528663545E+03 3.367726588704684E+03 = mínimo 3.062500000000000E-01 = X (m) 3.534104528663545E+03 = máximo 5.000000000000000E-01 = X (m)