MACH1D 5.0, congelado, mod=03, N = 40 Dia = (10/3/2006) Hora = 8:13:44 *** 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 *** 1.003744252091046E+00 = coeficiente de descarga 1.004206589297777E+00 = empuxo 1.000460612557201E+00 = velocidade de ejeção dos gases 9.962697150362299E-01 = velocidade característica (m/s) 1.004206589297777E+00 = coeficiente de empuxo 1.000460612557200E+00 = impulso específico 1.323383574621125E+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 6.618991806243013E-02 2 6.250000000000000E-03 6.606501061398871E-02 3 1.875000000000000E-02 6.577424061131582E-02 4 3.125000000000000E-02 6.651594408612209E-02 5 4.375000000000000E-02 6.596128715529484E-02 6 5.625000000000000E-02 6.645422331765502E-02 7 6.875000000000001E-02 6.591543123047765E-02 8 8.125000000000000E-02 6.647464064506944E-02 9 9.375000000000000E-02 6.600186279354349E-02 10 1.062500000000000E-01 6.683971142918406E-02 11 1.187500000000000E-01 6.775668658268362E-02 12 1.312500000000000E-01 7.184087005850033E-02 13 1.437500000000000E-01 7.715755197582622E-02 14 1.562500000000000E-01 8.620457293182655E-02 15 1.687500000000000E-01 9.753157634093981E-02 16 1.812500000000000E-01 1.144412551244179E-01 17 1.937500000000000E-01 1.362562846123564E-01 18 2.062500000000000E-01 1.673181424849595E-01 19 2.187500000000000E-01 2.081652988191639E-01 20 2.312500000000000E-01 2.646749129995273E-01 21 2.437500000000000E-01 3.386285999116039E-01 22 2.562500000000000E-01 4.367859857846226E-01 23 2.687500000000000E-01 5.601435500296673E-01 24 2.812500000000000E-01 7.132020280287491E-01 25 2.937500000000000E-01 8.920902991119516E-01 26 3.062500000000000E-01 1.095959936847554E+00 27 3.187500000000000E-01 1.314583639636391E+00 28 3.312500000000000E-01 1.543300564604351E+00 29 3.437500000000000E-01 1.769272483636737E+00 30 3.562500000000000E-01 1.989717844407095E+00 31 3.687500000000000E-01 2.194691128765940E+00 32 3.812500000000000E-01 2.386092319261844E+00 33 3.937500000000000E-01 2.556908260103466E+00 34 4.062500000000000E-01 2.711886402143917E+00 35 4.187500000000000E-01 2.844719155934796E+00 36 4.312500000000000E-01 2.961805173184615E+00 37 4.437500000000000E-01 3.055628917025995E+00 38 4.562500000000000E-01 3.135332981652233E+00 39 4.687500000000000E-01 3.188954579525114E+00 40 4.812500000000000E-01 3.233244403099408E+00 41 4.937500000000000E-01 3.243720644759077E+00 42 5.000000000000000E-01 3.248976400656503E+00 6.577424061131582E-02 = mínimo 1.875000000000000E-02 = X (m) 3.248976400656503E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994772066950040E+06 2 6.250000000000000E-03 1.994834158917510E+06 3 1.875000000000000E-02 1.994795248687262E+06 4 3.125000000000000E-02 1.994763044429934E+06 5 4.375000000000000E-02 1.994765741325872E+06 6 5.625000000000000E-02 1.994772778072018E+06 7 6.875000000000001E-02 1.994772975282912E+06 8 8.125000000000000E-02 1.994769558166128E+06 9 9.375000000000000E-02 1.994759340360546E+06 10 1.062500000000000E-01 1.994711985004176E+06 11 1.187500000000000E-01 1.994481622983799E+06 12 1.312500000000000E-01 1.993900180837405E+06 13 1.437500000000000E-01 1.992874778351397E+06 14 1.562500000000000E-01 1.991249594712575E+06 15 1.687500000000000E-01 1.988708575181009E+06 16 1.812500000000000E-01 1.984693030308744E+06 17 1.937500000000000E-01 1.978240500452060E+06 18 2.062500000000000E-01 1.967679114855954E+06 19 2.187500000000000E-01 1.950117838597799E+06 20 2.312500000000000E-01 1.920683823509560E+06 21 2.437500000000000E-01 1.871621667225474E+06 22 2.562500000000000E-01 1.791837760165793E+06 23 2.687500000000000E-01 1.668406482627571E+06 24 2.812500000000000E-01 1.491924764892951E+06 25 2.937500000000000E-01 1.265565359366012E+06 26 3.062500000000000E-01 1.010862767826525E+06 27 3.187500000000000E-01 7.619463036839059E+05 28 3.312500000000000E-01 5.484042713608117E+05 29 3.437500000000000E-01 3.840223555751115E+05 30 3.562500000000000E-01 2.665067942698524E+05 31 3.687500000000000E-01 1.863796522858848E+05 32 3.812500000000000E-01 1.327769234852773E+05 33 3.937500000000000E-01 9.718462529280584E+04 34 4.062500000000000E-01 7.333627330574399E+04 35 4.187500000000000E-01 5.729951082594529E+04 36 4.312500000000000E-01 4.628307066165716E+04 37 4.437500000000000E-01 3.886080891625326E+04 38 4.562500000000000E-01 3.362250956539767E+04 39 4.687500000000000E-01 3.043699869240857E+04 40 4.812500000000000E-01 2.808253839306545E+04 41 4.937500000000000E-01 2.755012061615848E+04 42 5.000000000000000E-01 2.728391172770486E+04 2.728391172770486E+04 = mínimo 5.000000000000000E-01 = X (m) 1.994834158917510E+06 = máximo 6.250000000000000E-03 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.418868885348472E+03 2 6.250000000000000E-03 3.417781641723472E+03 3 1.875000000000000E-02 3.419979941570900E+03 4 3.125000000000000E-02 3.417761866235091E+03 5 4.375000000000000E-02 3.419971645443231E+03 6 5.625000000000000E-02 3.417764580657505E+03 7 6.875000000000001E-02 3.419973677416162E+03 8 8.125000000000000E-02 3.417763683345867E+03 9 9.375000000000000E-02 3.419969846276040E+03 10 1.062500000000000E-01 3.417747618034872E+03 11 1.187500000000000E-01 3.419891636503353E+03 12 1.312500000000000E-01 3.417521697556924E+03 13 1.437500000000000E-01 3.419441363099632E+03 14 1.562500000000000E-01 3.416782992056973E+03 15 1.687500000000000E-01 3.418270874301510E+03 16 1.812500000000000E-01 3.414948546327419E+03 17 1.937500000000000E-01 3.415320440441032E+03 18 2.062500000000000E-01 3.410157259547052E+03 19 2.187500000000000E-01 3.407331908456763E+03 20 2.312500000000000E-01 3.396740589765849E+03 21 2.437500000000000E-01 3.384579073508293E+03 22 2.562500000000000E-01 3.358650353878932E+03 23 2.687500000000000E-01 3.322181281882847E+03 24 2.812500000000000E-01 3.260939593608598E+03 25 2.937500000000000E-01 3.177625836809020E+03 26 3.062500000000000E-01 3.062219086250113E+03 27 3.187500000000000E-01 2.924997837077268E+03 28 3.312500000000000E-01 2.766538814302141E+03 29 3.437500000000000E-01 2.604331144449075E+03 30 3.562500000000000E-01 2.441836042979638E+03 31 3.687500000000000E-01 2.292571331290079E+03 32 3.812500000000000E-01 2.154885128940138E+03 33 3.937500000000000E-01 2.036071307052631E+03 34 4.062500000000000E-01 1.931093062628553E+03 35 4.187500000000000E-01 1.844490041604774E+03 36 4.312500000000000E-01 1.770200474333717E+03 37 4.437500000000000E-01 1.712643982786273E+03 38 4.562500000000000E-01 1.664764941419803E+03 39 4.687500000000000E-01 1.633321822668771E+03 40 4.812500000000000E-01 1.607663473782254E+03 41 4.937500000000000E-01 1.601656232848965E+03 42 5.000000000000000E-01 1.598652612382321E+03 1.598652612382321E+03 = mínimo 5.000000000000000E-01 = X (m) 3.419979941570900E+03 = máximo 1.875000000000000E-02 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.706069041391596E+01 2 6.250000000000000E-03 9.686257687656685E+01 3 1.875000000000000E-02 9.646634980186774E+01 4 3.125000000000000E-02 9.752344848951677E+01 5 4.375000000000000E-02 9.674056365308427E+01 6 5.625000000000000E-02 9.743299311307428E+01 7 6.875000000000001E-02 9.667333801425771E+01 8 8.125000000000000E-02 9.746291591041097E+01 9 9.375000000000000E-02 9.680004824509457E+01 10 1.062500000000000E-01 9.799794709320877E+01 11 1.187500000000000E-01 9.937261576683923E+01 12 1.312500000000000E-01 1.053270851482282E+02 13 1.437500000000000E-01 1.131527869461520E+02 14 1.562500000000000E-01 1.263726912070829E+02 15 1.687500000000000E-01 1.430078621392992E+02 16 1.812500000000000E-01 1.677229062554364E+02 17 1.937500000000000E-01 1.997051457917820E+02 18 2.062500000000000E-01 2.450512729774020E+02 19 2.187500000000000E-01 3.047527436482665E+02 20 2.312500000000000E-01 3.868977184670673E+02 21 2.437500000000000E-01 4.941416527734651E+02 22 2.562500000000000E-01 6.350046770434477E+02 23 2.687500000000000E-01 8.100451143055820E+02 24 2.812500000000000E-01 1.022134441274837E+03 25 2.937500000000000E-01 1.262597234621891E+03 26 3.062500000000000E-01 1.523656464163266E+03 27 3.187500000000000E-01 1.787635689355562E+03 28 3.312500000000000E-01 2.043182801095765E+03 29 3.437500000000000E-01 2.275462529921953E+03 30 3.562500000000000E-01 2.481399999217108E+03 31 3.687500000000000E-01 2.656044821109788E+03 32 3.812500000000000E-01 2.804052096797932E+03 33 3.937500000000000E-01 2.925263229419412E+03 34 4.062500000000000E-01 3.026082911261591E+03 35 4.187500000000000E-01 3.106541358301558E+03 36 4.312500000000000E-01 3.172608718894398E+03 37 4.437500000000000E-01 3.222828523685432E+03 38 4.562500000000000E-01 3.263334491992273E+03 39 4.687500000000000E-01 3.289713425037938E+03 40 4.812500000000000E-01 3.310844842118092E+03 41 4.937500000000000E-01 3.315776764984834E+03 42 5.000000000000000E-01 3.318242726418206E+03 9.646634980186774E+01 = mínimo 1.875000000000000E-02 = X (m) 3.318242726418206E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.108657917783760E+00 2 6.250000000000000E-03 1.109045117766163E+00 3 1.875000000000000E-02 1.108310625507902E+00 4 3.125000000000000E-02 1.109011997867914E+00 5 4.375000000000000E-02 1.108296919669959E+00 6 5.625000000000000E-02 1.109016528608231E+00 7 6.875000000000001E-02 1.108300280379323E+00 8 8.125000000000000E-02 1.109015029629677E+00 9 9.375000000000000E-02 1.108293946324897E+00 10 1.062500000000000E-01 1.108988234005324E+00 11 1.187500000000000E-01 1.108164987896137E+00 12 1.312500000000000E-01 1.108610181560787E+00 13 1.437500000000000E-01 1.107418006090170E+00 14 1.562500000000000E-01 1.107375815375406E+00 15 1.687500000000000E-01 1.105481304826031E+00 16 1.812500000000000E-01 1.104322474532326E+00 17 1.937500000000000E-01 1.100612300556281E+00 18 2.062500000000000E-01 1.096393872502466E+00 19 2.187500000000000E-01 1.087509715190720E+00 20 2.312500000000000E-01 1.074435201009642E+00 21 2.437500000000000E-01 1.050751769376834E+00 22 2.562500000000000E-01 1.013726081505959E+00 23 2.687500000000000E-01 9.542568196369737E-01 24 2.812500000000000E-01 8.693424760184092E-01 25 2.937500000000000E-01 7.567780927553199E-01 26 3.062500000000000E-01 6.272528922185691E-01 27 3.187500000000000E-01 4.949776027238579E-01 28 3.312500000000000E-01 3.766611184707138E-01 29 3.437500000000000E-01 2.801863884705553E-01 30 3.562500000000000E-01 2.073855611304538E-01 31 3.687500000000000E-01 1.544764820721628E-01 32 3.812500000000000E-01 1.170806724663759E-01 33 3.937500000000000E-01 9.069666364344627E-02 34 4.062500000000000E-01 7.216097023485286E-02 35 4.187500000000000E-01 5.902844330721924E-02 36 4.312500000000000E-01 4.968055541490433E-02 37 4.437500000000000E-01 4.311530613845945E-02 38 4.562500000000000E-01 3.837637374630111E-02 39 4.687500000000000E-01 3.540925517933256E-02 40 4.812500000000000E-01 3.319158159830474E-02 41 4.937500000000000E-01 3.268443087320885E-02 42 5.000000000000000E-01 3.242942622425501E-02 3.242942622425501E-02 = mínimo 5.000000000000000E-01 = X (m) 1.109045117766163E+00 = máximo 6.250000000000000E-03 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 2.953090427094944E+03 2 6.250000000000000E-03 2.947062784100353E+03 3 1.875000000000000E-02 2.935007498111145E+03 4 3.125000000000000E-02 2.967169931756305E+03 5 4.375000000000000E-02 2.943350507990336E+03 6 5.625000000000000E-02 2.964417809294447E+03 7 6.875000000000001E-02 2.941305154823905E+03 8 8.125000000000000E-02 2.965328216236640E+03 9 9.375000000000000E-02 2.945160338298323E+03 10 1.062500000000000E-01 2.981606644273568E+03 11 1.187500000000000E-01 3.023431206650093E+03 12 1.312500000000000E-01 3.204597098357872E+03 13 1.437500000000000E-01 3.442695601121407E+03 14 1.562500000000000E-01 3.844913765381130E+03 15 1.687500000000000E-01 4.351042083895262E+03 16 1.812500000000000E-01 5.103002119140693E+03 17 1.937500000000000E-01 6.076067991731050E+03 18 2.062500000000000E-01 7.455732751239962E+03 19 2.187500000000000E-01 9.272161634753673E+03 20 2.312500000000000E-01 1.177143850716067E+04 21 2.437500000000000E-01 1.503435611483118E+04 22 2.562500000000000E-01 1.932014108843248E+04 23 2.687500000000000E-01 2.464578051494959E+04 24 2.812500000000000E-01 3.109863963320823E+04 25 2.937500000000000E-01 3.841476699720525E+04 26 3.062500000000000E-01 4.635754494753484E+04 27 3.187500000000000E-01 5.438916433477486E+04 28 3.312500000000000E-01 6.216423502645787E+04 29 3.437500000000000E-01 6.923139105718066E+04 30 3.562500000000000E-01 7.549707870644642E+04 31 3.687500000000000E-01 8.081068145822565E+04 32 3.812500000000000E-01 8.531383167394259E+04 33 3.937500000000000E-01 8.900170401314972E+04 34 4.062500000000000E-01 9.206916248723667E+04 35 4.187500000000000E-01 9.451712642319677E+04 36 4.312500000000000E-01 9.652723874856894E+04 37 4.437500000000000E-01 9.805518609930936E+04 38 4.562500000000000E-01 9.928758808137885E+04 39 4.687500000000000E-01 1.000901722616678E+05 40 4.812500000000000E-01 1.007330997457423E+05 41 4.937500000000000E-01 1.008831544604042E+05 42 5.000000000000000E-01 1.009581818177352E+05 2.935007498111145E+03 = mínimo 1.875000000000000E-02 = X (m) 1.009581818177352E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 1.999999999927587E+06 2 6.250000000000000E-03 2.000042568791828E+06 3 1.875000000000000E-02 1.999957663848557E+06 4 3.125000000000000E-02 2.000042689625501E+06 5 4.375000000000000E-02 1.999957515194958E+06 6 5.625000000000000E-02 2.000042644526390E+06 7 6.875000000000001E-02 1.999957543947501E+06 8 8.125000000000000E-02 2.000042658442104E+06 9 9.375000000000000E-02 1.999957493922621E+06 10 1.062500000000000E-01 2.000043074536734E+06 11 1.187500000000000E-01 1.999959425253515E+06 12 1.312500000000000E-01 2.000057467668047E+06 13 1.437500000000000E-01 1.999974780829378E+06 14 1.562500000000000E-01 2.000108466114287E+06 15 1.687500000000000E-01 2.000039728650874E+06 16 1.812500000000000E-01 2.000276810364634E+06 17 1.937500000000000E-01 2.000290011904641E+06 18 2.062500000000000E-01 2.000829674065521E+06 19 2.187500000000000E-01 2.001168930500920E+06 20 2.312500000000000E-01 2.002521486521564E+06 21 2.437500000000000E-01 2.003640441670629E+06 22 2.562500000000000E-01 2.006221697605892E+06 23 2.687500000000000E-01 2.007100524124111E+06 24 2.812500000000000E-01 2.007886887787954E+06 25 2.937500000000000E-01 2.002349103340070E+06 26 3.062500000000000E-01 1.995952801420385E+06 27 3.187500000000000E-01 1.983984044315888E+06 28 3.312500000000000E-01 1.979301336162508E+06 29 3.437500000000000E-01 1.972540564264140E+06 30 3.562500000000000E-01 1.975136723238895E+06 31 3.687500000000000E-01 1.970093456037675E+06 32 3.812500000000000E-01 1.970732290684719E+06 33 3.937500000000000E-01 1.959319924101415E+06 34 4.062500000000000E-01 1.953129288794480E+06 35 4.187500000000000E-01 1.935551745010347E+06 36 4.312500000000000E-01 1.924944328836588E+06 37 4.437500000000000E-01 1.906704472060257E+06 38 4.562500000000000E-01 1.895976405037568E+06 39 4.687500000000000E-01 1.883439469098747E+06 40 4.812500000000000E-01 1.875434321617428E+06 41 4.937500000000000E-01 1.873242639289522E+06 42 5.000000000000000E-01 1.871926280976692E+06 1.871926280976692E+06 = mínimo 5.000000000000000E-01 = X (m) 2.007886887787954E+06 = máximo 2.812500000000000E-01 = X (m) *** temperatura de estagnação *** ponto x (m) T_estagnação (K) 1 0.000000000000000E+00 3.420330094621961E+03 2 6.250000000000000E-03 3.419236962230492E+03 3 1.875000000000000E-02 3.421423239438647E+03 4 3.125000000000000E-02 3.419237114432270E+03 5 4.375000000000000E-02 3.421423160902134E+03 6 5.625000000000000E-02 3.419237093289135E+03 7 6.875000000000001E-02 3.421423176110661E+03 8 8.125000000000000E-02 3.419237100626313E+03 9 9.375000000000000E-02 3.421423147437886E+03 10 1.062500000000000E-01 3.419237257684996E+03 11 1.187500000000000E-01 3.421423215570399E+03 12 1.312500000000000E-01 3.419242502927073E+03 13 1.437500000000000E-01 3.421427207218790E+03 14 1.562500000000000E-01 3.419260256282398E+03 15 1.687500000000000E-01 3.421443048396463E+03 16 1.812500000000000E-01 3.419312559115292E+03 17 1.937500000000000E-01 3.421507333204752E+03 18 2.062500000000000E-01 3.419474940160003E+03 19 2.187500000000000E-01 3.421744560505730E+03 20 2.312500000000000E-01 3.419981179647526E+03 21 2.437500000000000E-01 3.422510238808370E+03 22 2.562500000000000E-01 3.421363958420064E+03 23 2.687500000000000E-01 3.424408146470917E+03 24 2.812500000000000E-01 3.424186093239092E+03 25 2.937500000000000E-01 3.427768354588019E+03 26 3.062500000000000E-01 3.428781079329027E+03 27 3.187500000000000E-01 3.433700254258112E+03 28 3.312500000000000E-01 3.438068767945598E+03 29 3.437500000000000E-01 3.447348023607116E+03 30 3.562500000000000E-01 3.458174451310893E+03 31 3.687500000000000E-01 3.473649177773865E+03 32 3.812500000000000E-01 3.490676829271467E+03 33 3.937500000000000E-01 3.510305197063433E+03 34 4.062500000000000E-01 3.530129849541216E+03 35 4.187500000000000E-01 3.550058118169768E+03 36 4.312500000000000E-01 3.568747865093652E+03 37 4.437500000000000E-01 3.585323769812539E+03 38 4.562500000000000E-01 3.599840988904047E+03 39 4.687500000000000E-01 3.610232792377712E+03 40 4.812500000000000E-01 3.618914812660806E+03 41 4.937500000000000E-01 3.621017691501815E+03 42 5.000000000000000E-01 3.622081927759443E+03 3.419236962230492E+03 = mínimo 6.250000000000000E-03 = X (m) 3.622081927759443E+03 = máximo 5.000000000000000E-01 = X (m)