MACH1D 5.0, CONGELADO, monogás, prop. variáveis, numérico, N = 40 Dia = (10/1/2006) Hora = 11:0:18 *** 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 *** 1.062832759564478E+00 = coeficiente de descarga 1.008526570170249E+00 = empuxo 9.489042947674262E-01 = velocidade de ejeção dos gases 9.408818000771585E-01 = velocidade característica (m/s) 1.008526570170249E+00 = coeficiente de empuxo 9.489042947674262E-01 = impulso específico 1.606817141280351E+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 6.641672157812385E-02 2 6.250000000000000E-03 6.629596111319831E-02 3 1.875000000000000E-02 6.602115372846766E-02 4 3.125000000000000E-02 6.672626958552266E-02 5 4.375000000000000E-02 6.619967086414415E-02 6 5.625000000000000E-02 6.666740798133751E-02 7 6.875000000000001E-02 6.615606650340988E-02 8 8.125000000000000E-02 6.668765895590832E-02 9 9.375000000000000E-02 6.624225888415318E-02 10 1.062500000000000E-01 6.705392723513007E-02 11 1.187500000000000E-01 6.800320731459884E-02 12 1.312500000000000E-01 7.207195182720884E-02 13 1.437500000000000E-01 7.743620712642686E-02 14 1.562500000000000E-01 8.648386650484792E-02 15 1.687500000000000E-01 9.787956582403429E-02 16 1.812500000000000E-01 1.148145637973714E-01 17 1.937500000000000E-01 1.367343758194781E-01 18 2.062500000000000E-01 1.678638399067467E-01 19 2.187500000000000E-01 2.088767380855922E-01 20 2.312500000000000E-01 2.655187539874697E-01 21 2.437500000000000E-01 3.397176661349495E-01 22 2.562500000000000E-01 4.380478463466144E-01 23 2.687500000000000E-01 5.616234009517238E-01 24 2.812500000000000E-01 7.145912806008835E-01 25 2.937500000000000E-01 8.930810412584094E-01 26 3.062500000000000E-01 1.095608514494256E+00 27 3.187500000000000E-01 1.311940973641244E+00 28 3.312500000000000E-01 1.536725250758986E+00 29 3.437500000000000E-01 1.757570209599492E+00 30 3.562500000000000E-01 1.971240009433302E+00 31 3.687500000000000E-01 2.168732906230080E+00 32 3.812500000000000E-01 2.351543706667054E+00 33 3.937500000000000E-01 2.513835864287387E+00 34 4.062500000000000E-01 2.659799561049750E+00 35 4.187500000000000E-01 2.784466023463921E+00 36 4.312500000000000E-01 2.893384647192854E+00 37 4.437500000000000E-01 2.980641857367945E+00 38 4.562500000000000E-01 3.054022429390634E+00 39 4.687500000000000E-01 3.103657994920357E+00 40 4.812500000000000E-01 3.144154329061852E+00 41 4.937500000000000E-01 3.153819840570559E+00 42 5.000000000000000E-01 3.158516478143517E+00 6.602115372846766E-02 = mínimo 1.875000000000000E-02 = X (m) 3.158516478143517E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994859900275602E+06 2 6.250000000000000E-03 1.994917964047293E+06 3 1.875000000000000E-02 1.994881579080075E+06 4 3.125000000000000E-02 1.994851463182946E+06 5 4.375000000000000E-02 1.994853983588798E+06 6 5.625000000000000E-02 1.994860559764134E+06 7 6.875000000000001E-02 1.994860724024396E+06 8 8.125000000000000E-02 1.994857430139674E+06 9 9.375000000000000E-02 1.994847400265394E+06 10 1.062500000000000E-01 1.994800826481545E+06 11 1.187500000000000E-01 1.994574317316938E+06 12 1.312500000000000E-01 1.994002614441354E+06 13 1.437500000000000E-01 1.992994377526969E+06 14 1.562500000000000E-01 1.991396378267699E+06 15 1.687500000000000E-01 1.988897810210136E+06 16 1.812500000000000E-01 1.984949231284173E+06 17 1.937500000000000E-01 1.978603978208215E+06 18 2.062500000000000E-01 1.968217340258102E+06 19 2.187500000000000E-01 1.950944260337707E+06 20 2.312500000000000E-01 1.921986947739014E+06 21 2.437500000000000E-01 1.873701759879083E+06 22 2.562500000000000E-01 1.795136309540598E+06 23 2.687500000000000E-01 1.673478545313960E+06 24 2.812500000000000E-01 1.499295248741947E+06 25 2.937500000000000E-01 1.275427173588936E+06 26 3.062500000000000E-01 1.022823975848740E+06 27 3.187500000000000E-01 7.750003770757270E+05 28 3.312500000000000E-01 5.613847920811286E+05 29 3.437500000000000E-01 3.959596812090817E+05 30 3.562500000000000E-01 2.769411979303967E+05 31 3.687500000000000E-01 1.952036300355245E+05 32 3.812500000000000E-01 1.401537932706374E+05 33 3.937500000000000E-01 1.033367216396303E+05 34 4.062500000000000E-01 7.852309628261843E+04 35 4.187500000000000E-01 6.172354480581044E+04 36 4.312500000000000E-01 5.014081905152191E+04 37 4.437500000000000E-01 4.228034007177202E+04 38 4.562500000000000E-01 3.673651294434604E+04 39 4.687500000000000E-01 3.333092300112182E+04 40 4.812500000000000E-01 3.083119801830055E+04 41 4.937500000000000E-01 3.025951399453609E+04 42 5.000000000000000E-01 2.997367198265392E+04 2.997367198265392E+04 = mínimo 5.000000000000000E-01 = X (m) 1.994917964047293E+06 = máximo 6.250000000000000E-03 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.418890340575017E+03 2 6.250000000000000E-03 3.418001997955203E+03 3 1.875000000000000E-02 3.419798202962408E+03 4 3.125000000000000E-02 3.417985784180524E+03 5 4.375000000000000E-02 3.419791404172902E+03 6 5.625000000000000E-02 3.417988008040685E+03 7 6.875000000000001E-02 3.419793063371026E+03 8 8.125000000000000E-02 3.417987243438706E+03 9 9.375000000000000E-02 3.419789782652872E+03 10 1.062500000000000E-01 3.417973396524272E+03 11 1.187500000000000E-01 3.419722388904865E+03 12 1.312500000000000E-01 3.417778654001067E+03 13 1.437500000000000E-01 3.419334402650672E+03 14 1.562500000000000E-01 3.417141899026701E+03 15 1.687500000000000E-01 3.418325766301830E+03 16 1.812500000000000E-01 3.415560603218388E+03 17 1.937500000000000E-01 3.415783014931329E+03 18 2.062500000000000E-01 3.411430117022864E+03 19 2.187500000000000E-01 3.408896600075397E+03 20 2.312500000000000E-01 3.399860140479122E+03 21 2.437500000000000E-01 3.389270980725932E+03 22 2.562500000000000E-01 3.366983083473866E+03 23 2.687500000000000E-01 3.335369931905373E+03 24 2.812500000000000E-01 3.282459897319042E+03 25 2.937500000000000E-01 3.210092429164156E+03 26 3.062500000000000E-01 3.109779896962430E+03 27 3.187500000000000E-01 2.989813710634527E+03 28 3.312500000000000E-01 2.850813737840432E+03 29 3.437500000000000E-01 2.707472636253488E+03 30 3.562500000000000E-01 2.563139297534092E+03 31 3.687500000000000E-01 2.429431005853481E+03 32 3.812500000000000E-01 2.305432892022374E+03 33 3.937500000000000E-01 2.197513063802764E+03 34 4.062500000000000E-01 2.101757429596508E+03 35 4.187500000000000E-01 2.022102585836840E+03 36 4.312500000000000E-01 1.953643856816172E+03 37 4.437500000000000E-01 1.900135965844088E+03 38 4.562500000000000E-01 1.855720747839643E+03 39 4.687500000000000E-01 1.826224691543873E+03 40 4.812500000000000E-01 1.802336825146901E+03 41 4.937500000000000E-01 1.796680183868595E+03 42 5.000000000000000E-01 1.793851863229442E+03 1.793851863229442E+03 = mínimo 5.000000000000000E-01 = X (m) 3.419798202962408E+03 = máximo 1.875000000000000E-02 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.012623521275810E+01 2 6.250000000000000E-03 8.995127172706660E+01 3 1.875000000000000E-02 8.960134475568422E+01 4 3.125000000000000E-02 9.053491091141152E+01 5 4.375000000000000E-02 8.984353423966375E+01 6 5.625000000000000E-02 9.045507553969416E+01 7 6.875000000000001E-02 8.978437737947731E+01 8 8.125000000000000E-02 9.048254242279353E+01 9 9.375000000000000E-02 8.990131221803907E+01 10 1.062500000000000E-01 9.097931961788127E+01 11 1.187500000000000E-01 9.229031387240698E+01 12 1.312500000000000E-01 9.778510171099235E+01 13 1.437500000000000E-01 1.050864662183547E+02 14 1.562500000000000E-01 1.173281103552831E+02 15 1.687500000000000E-01 1.328104706267269E+02 16 1.812500000000000E-01 1.557277502454786E+02 17 1.937500000000000E-01 1.854643838712300E+02 18 2.062500000000000E-01 2.275464823227758E+02 19 2.187500000000000E-01 2.830387156938489E+02 20 2.312500000000000E-01 3.593265817845960E+02 21 2.437500000000000E-01 4.590419023745990E+02 22 2.562500000000000E-01 5.900111731380723E+02 23 2.687500000000000E-01 7.529900972088270E+02 24 2.812500000000000E-01 9.506544737849900E+02 25 2.937500000000000E-01 1.175300782237528E+03 26 3.062500000000000E-01 1.419774334219529E+03 27 3.187500000000000E-01 1.668006559676071E+03 28 3.312500000000000E-01 1.909336013033695E+03 29 3.437500000000000E-01 2.130073884839863E+03 30 3.562500000000000E-01 2.326928354732776E+03 31 3.687500000000000E-01 2.495159376599635E+03 32 3.812500000000000E-01 2.638609346090676E+03 33 3.937500000000000E-01 2.757026725458124E+03 34 4.062500000000000E-01 2.856022050967908E+03 35 4.187500000000000E-01 2.935644049301354E+03 36 4.312500000000000E-01 3.001200052972272E+03 37 4.437500000000000E-01 3.051449080892244E+03 38 4.562500000000000E-01 3.091915281812661E+03 39 4.687500000000000E-01 3.118556788528664E+03 40 4.812500000000000E-01 3.139743249640436E+03 41 4.937500000000000E-01 3.144744492252889E+03 42 5.000000000000000E-01 3.147245113559116E+03 8.960134475568422E+01 = mínimo 1.875000000000000E-02 = X (m) 3.147245113559116E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.264245992688554E+00 2 6.250000000000000E-03 1.264611379246712E+00 3 1.875000000000000E-02 1.263924105474335E+00 4 3.125000000000000E-02 1.264575221943649E+00 5 4.375000000000000E-02 1.263909134162275E+00 6 5.625000000000000E-02 1.264580165664017E+00 7 6.875000000000001E-02 1.263912791580525E+00 8 8.125000000000000E-02 1.264578464620852E+00 9 9.375000000000000E-02 1.263905562359133E+00 10 1.062500000000000E-01 1.264547705396619E+00 11 1.187500000000000E-01 1.263757445925445E+00 12 1.312500000000000E-01 1.264113725563264E+00 13 1.437500000000000E-01 1.262899682802646E+00 14 1.562500000000000E-01 1.262696730359853E+00 15 1.687500000000000E-01 1.260675687693886E+00 16 1.812500000000000E-01 1.259191444705614E+00 17 1.937500000000000E-01 1.255084481490244E+00 18 2.062500000000000E-01 1.250088992195315E+00 19 2.187500000000000E-01 1.240039130052559E+00 20 2.312500000000000E-01 1.224880550366183E+00 21 2.437500000000000E-01 1.197839217941417E+00 22 2.562500000000000E-01 1.155209770519525E+00 23 2.687500000000000E-01 1.087127535720652E+00 24 2.812500000000000E-01 9.896738435818324E-01 25 2.937500000000000E-01 8.608797350648256E-01 26 3.062500000000000E-01 7.126488758911863E-01 27 3.187500000000000E-01 5.616453158038111E-01 28 3.312500000000000E-01 4.266739780372287E-01 29 3.437500000000000E-01 3.168773857023954E-01 30 3.562500000000000E-01 2.341098645768633E-01 31 3.687500000000000E-01 1.740955523196944E-01 32 3.812500000000000E-01 1.317215182761957E-01 33 3.937500000000000E-01 1.018890634675585E-01 34 4.062500000000000E-01 8.095043397253247E-02 35 4.187500000000000E-01 6.613814831917075E-02 36 4.312500000000000E-01 5.560967850561247E-02 37 4.437500000000000E-01 4.821233326175034E-02 38 4.562500000000000E-01 4.289332009616269E-02 39 4.687500000000000E-01 3.954553782949482E-02 40 4.812500000000000E-01 3.706455589656325E-02 41 4.937500000000000E-01 3.649182025768000E-02 42 5.000000000000000E-01 3.620409791165120E-02 3.620409791165120E-02 = mínimo 5.000000000000000E-01 = X (m) 1.264611379246712E+00 = máximo 6.250000000000000E-03 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 2.903530953926018E+03 2 6.250000000000000E-03 2.897894283368185E+03 3 1.875000000000000E-02 2.886620942252540E+03 4 3.125000000000000E-02 2.916696959788311E+03 5 4.375000000000000E-02 2.894423383592622E+03 6 5.625000000000000E-02 2.914124962051444E+03 7 6.875000000000001E-02 2.892517570326563E+03 8 8.125000000000000E-02 2.915009842520473E+03 9 9.375000000000000E-02 2.896284774432614E+03 10 1.062500000000000E-01 2.931014149809430E+03 11 1.187500000000000E-01 2.973249492153961E+03 12 1.312500000000000E-01 3.150271050160085E+03 13 1.437500000000000E-01 3.385493766419983E+03 14 1.562500000000000E-01 3.779873855576164E+03 15 1.687500000000000E-01 4.278657724466852E+03 16 1.812500000000000E-01 5.016966948143422E+03 17 1.937500000000000E-01 5.974970308586733E+03 18 2.062500000000000E-01 7.330698473330141E+03 19 2.187500000000000E-01 9.118451139521492E+03 20 2.312500000000000E-01 1.157616148413480E+04 21 2.437500000000000E-01 1.478861698313855E+04 22 2.562500000000000E-01 1.900795811923686E+04 23 2.687500000000000E-01 2.425853082717138E+04 24 2.812500000000000E-01 3.062653937121555E+04 25 2.937500000000000E-01 3.786380506568697E+04 26 3.062500000000000E-01 4.573983055283055E+04 27 3.187500000000000E-01 5.373694647222474E+04 28 3.312500000000000E-01 6.151168083524090E+04 29 3.437500000000000E-01 6.862303128697077E+04 30 3.562500000000000E-01 7.496494766019414E+04 31 3.687500000000000E-01 8.038472335866783E+04 32 3.812500000000000E-01 8.500614603069818E+04 33 3.937500000000000E-01 8.882111206877268E+04 34 4.062500000000000E-01 9.201037201326164E+04 35 4.187500000000000E-01 9.457549565599293E+04 36 4.312500000000000E-01 9.668746544397817E+04 37 4.437500000000000E-01 9.830630159780078E+04 38 4.562500000000000E-01 9.960997157450460E+04 39 4.687500000000000E-01 1.004682614967069E+05 40 4.812500000000000E-01 1.011508102073788E+05 41 4.937500000000000E-01 1.013119315800742E+05 42 5.000000000000000E-01 1.013924922664219E+05 2.886620942252540E+03 = mínimo 1.875000000000000E-02 = X (m) 1.013924922664219E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 2.000000135779619E+06 2 6.250000000000000E-03 2.000039720603658E+06 3 1.875000000000000E-02 1.999960755933319E+06 4 3.125000000000000E-02 2.000039825207081E+06 5 4.375000000000000E-02 1.999960624894564E+06 6 5.625000000000000E-02 2.000039785513915E+06 7 6.875000000000001E-02 1.999960650076735E+06 8 8.125000000000000E-02 2.000039798261865E+06 9 9.375000000000000E-02 1.999960604561000E+06 10 1.062500000000000E-01 2.000040193160303E+06 11 1.187500000000000E-01 1.999962571833487E+06 12 1.312500000000000E-01 2.000054149400144E+06 13 1.437500000000000E-01 1.999978044735745E+06 14 1.562500000000000E-01 2.000103715570340E+06 15 1.687500000000000E-01 2.000042765498807E+06 16 1.812500000000000E-01 2.000268051074388E+06 17 1.937500000000000E-01 2.000290727225424E+06 18 2.062500000000000E-01 2.000809398679772E+06 19 2.187500000000000E-01 2.001159660863795E+06 20 2.312500000000000E-01 2.002469967001568E+06 21 2.437500000000000E-01 2.003605909603806E+06 22 2.562500000000000E-01 2.006114859578280E+06 23 2.687500000000000E-01 2.007070556624436E+06 24 2.812500000000000E-01 2.007808336243008E+06 25 2.937500000000000E-01 2.002562383941018E+06 26 3.062500000000000E-01 1.996179562942175E+06 27 3.187500000000000E-01 1.984708485392574E+06 28 3.312500000000000E-01 1.979964315337694E+06 29 3.437500000000000E-01 1.974050488666173E+06 30 3.562500000000000E-01 1.977184138259567E+06 31 3.687500000000000E-01 1.974371072013566E+06 32 3.812500000000000E-01 1.977212443750264E+06 33 3.937500000000000E-01 1.969830623071059E+06 34 4.062500000000000E-01 1.967358579477083E+06 35 4.187500000000000E-01 1.954694057701307E+06 36 4.312500000000000E-01 1.948249429184006E+06 37 4.437500000000000E-01 1.934399993574627E+06 38 4.562500000000000E-01 1.927221038652469E+06 39 4.687500000000000E-01 1.917437834557229E+06 40 4.812500000000000E-01 1.911690577123081E+06 41 4.937500000000000E-01 1.910042817533262E+06 42 5.000000000000000E-01 1.907956727340727E+06 1.907956727340727E+06 = mínimo 5.000000000000000E-01 = X (m) 2.007808336243008E+06 = máximo 2.812500000000000E-01 = X (m) *** temperatura de estagnação *** ponto x (m) T_estagnação (K) 1 0.000000000000000E+00 3.420149550115479E+03 2 6.250000000000000E-03 3.419256422492825E+03 3 1.875000000000000E-02 3.421042786991090E+03 4 3.125000000000000E-02 3.419256540845364E+03 5 4.375000000000000E-02 3.421042725812646E+03 6 5.625000000000000E-02 3.419256524414078E+03 7 6.875000000000001E-02 3.421042737612615E+03 8 8.125000000000000E-02 3.419256530347918E+03 9 9.375000000000000E-02 3.421042714339384E+03 10 1.062500000000000E-01 3.419256660043349E+03 11 1.187500000000000E-01 3.421042799134367E+03 12 1.312500000000000E-01 3.419261102564632E+03 13 1.437500000000000E-01 3.421046378818746E+03 14 1.562500000000000E-01 3.419276175791020E+03 15 1.687500000000000E-01 3.421060331536075E+03 16 1.812500000000000E-01 3.419320788605972E+03 17 1.937500000000000E-01 3.421116289796978E+03 18 2.062500000000000E-01 3.419459787567425E+03 19 2.187500000000000E-01 3.421321660137283E+03 20 2.312500000000000E-01 3.419893887734620E+03 21 2.437500000000000E-01 3.421982196294390E+03 22 2.562500000000000E-01 3.421078025383486E+03 23 2.687500000000000E-01 3.423608257759416E+03 24 2.812500000000000E-01 3.423464639405375E+03 25 2.937500000000000E-01 3.426402754746954E+03 26 3.062500000000000E-01 3.427155991646185E+03 27 3.187500000000000E-01 3.430981055672552E+03 28 3.312500000000000E-01 3.434152952621795E+03 29 3.437500000000000E-01 3.441164027885879E+03 30 3.562500000000000E-01 3.449209777157018E+03 31 3.687500000000000E-01 3.460964163074447E+03 32 3.812500000000000E-01 3.473850512792314E+03 33 3.937500000000000E-01 3.488924928498632E+03 34 4.062500000000000E-01 3.504130341311398E+03 35 4.187500000000000E-01 3.519604695489379E+03 36 4.312500000000000E-01 3.534085662126698E+03 37 4.437500000000000E-01 3.547088658926546E+03 38 4.562500000000000E-01 3.558411888365615E+03 39 4.687500000000000E-01 3.566637279333778E+03 40 4.812500000000000E-01 3.573438436694349E+03 41 4.937500000000000E-01 3.575107355178853E+03 42 5.000000000000000E-01 3.576799669702608E+03 3.419256422492825E+03 = mínimo 6.250000000000000E-03 = X (m) 3.576799669702608E+03 = máximo 5.000000000000000E-01 = X (m)