MACH1D 5.0, congelado, mod=04, N = 40 Dia = (10/3/2006) Hora = 17:53:44 *** 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 *** 1.003744252090478E+00 = coeficiente de descarga 1.004206589297736E+00 = empuxo 1.000460612557727E+00 = velocidade de ejeção dos gases 9.962697150367941E-01 = velocidade característica (m/s) 1.004206589297736E+00 = coeficiente de empuxo 1.000460612557726E+00 = impulso específico 1.323383574619238E+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 6.618991806242853E-02 2 6.250000000000000E-03 6.606501061398663E-02 3 1.875000000000000E-02 6.577424061131293E-02 4 3.125000000000000E-02 6.651594408612178E-02 5 4.375000000000000E-02 6.596128715529236E-02 6 5.625000000000000E-02 6.645422331765455E-02 7 6.875000000000001E-02 6.591543123047496E-02 8 8.125000000000000E-02 6.647464064506914E-02 9 9.375000000000000E-02 6.600186279354085E-02 10 1.062500000000000E-01 6.683971142918375E-02 11 1.187500000000000E-01 6.775668658268047E-02 12 1.312500000000000E-01 7.184087005850047E-02 13 1.437500000000000E-01 7.715755197582266E-02 14 1.562500000000000E-01 8.620457293182633E-02 15 1.687500000000000E-01 9.753157634093573E-02 16 1.812500000000000E-01 1.144412551244172E-01 17 1.937500000000000E-01 1.362562846123515E-01 18 2.062500000000000E-01 1.673181424849574E-01 19 2.187500000000000E-01 2.081652988191577E-01 20 2.312500000000000E-01 2.646749129995229E-01 21 2.437500000000000E-01 3.386285999115954E-01 22 2.562500000000000E-01 4.367859857846157E-01 23 2.687500000000000E-01 5.601435500296564E-01 24 2.812500000000000E-01 7.132020280287422E-01 25 2.937500000000000E-01 8.920902991119453E-01 26 3.062500000000000E-01 1.095959936847563E+00 27 3.187500000000000E-01 1.314583639636417E+00 28 3.312500000000000E-01 1.543300564604415E+00 29 3.437500000000000E-01 1.769272483636843E+00 30 3.562500000000000E-01 1.989717844407269E+00 31 3.687500000000000E-01 2.194691128766181E+00 32 3.812500000000000E-01 2.386092319262173E+00 33 3.937500000000000E-01 2.556908260103871E+00 34 4.062500000000000E-01 2.711886402144414E+00 35 4.187500000000000E-01 2.844719155935369E+00 36 4.312500000000000E-01 2.961805173185271E+00 37 4.437500000000000E-01 3.055628917026710E+00 38 4.562500000000000E-01 3.135332981653012E+00 39 4.687500000000000E-01 3.188954579525930E+00 40 4.812500000000000E-01 3.233244403100261E+00 41 4.937500000000000E-01 3.243720644759936E+00 42 5.000000000000000E-01 3.248976400657364E+00 6.577424061131293E-02 = mínimo 1.875000000000000E-02 = X (m) 3.248976400657364E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994772066950039E+06 2 6.250000000000000E-03 1.994834158917510E+06 3 1.875000000000000E-02 1.994795248687261E+06 4 3.125000000000000E-02 1.994763044429933E+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 1.994769558166127E+06 9 9.375000000000000E-02 1.994759340360546E+06 10 1.062500000000000E-01 1.994711985004175E+06 11 1.187500000000000E-01 1.994481622983798E+06 12 1.312500000000000E-01 1.993900180837404E+06 13 1.437500000000000E-01 1.992874778351397E+06 14 1.562500000000000E-01 1.991249594712574E+06 15 1.687500000000000E-01 1.988708575181008E+06 16 1.812500000000000E-01 1.984693030308743E+06 17 1.937500000000000E-01 1.978240500452057E+06 18 2.062500000000000E-01 1.967679114855949E+06 19 2.187500000000000E-01 1.950117838597792E+06 20 2.312500000000000E-01 1.920683823509550E+06 21 2.437500000000000E-01 1.871621667225457E+06 22 2.562500000000000E-01 1.791837760165765E+06 23 2.687500000000000E-01 1.668406482627528E+06 24 2.812500000000000E-01 1.491924764892888E+06 25 2.937500000000000E-01 1.265565359365928E+06 26 3.062500000000000E-01 1.010862767826422E+06 27 3.187500000000000E-01 7.619463036837925E+05 28 3.312500000000000E-01 5.484042713606982E+05 29 3.437500000000000E-01 3.840223555750070E+05 30 3.562500000000000E-01 2.665067942697604E+05 31 3.687500000000000E-01 1.863796522858072E+05 32 3.812500000000000E-01 1.327769234852126E+05 33 3.937500000000000E-01 9.718462529275214E+04 34 4.062500000000000E-01 7.333627330569885E+04 35 4.187500000000000E-01 5.729951082590704E+04 36 4.312500000000000E-01 4.628307066162404E+04 37 4.437500000000000E-01 3.886080891622402E+04 38 4.562500000000000E-01 3.362250956537123E+04 39 4.687500000000000E-01 3.043699869238397E+04 40 4.812500000000000E-01 2.808253839304237E+04 41 4.937500000000000E-01 2.755012061613547E+04 42 5.000000000000000E-01 2.728391172768221E+04 2.728391172768221E+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 3.418868885348470E+03 2 6.250000000000000E-03 3.417781641723464E+03 3 1.875000000000000E-02 3.419979941570904E+03 4 3.125000000000000E-02 3.417761866235084E+03 5 4.375000000000000E-02 3.419971645443235E+03 6 5.625000000000000E-02 3.417764580657498E+03 7 6.875000000000001E-02 3.419973677416170E+03 8 8.125000000000000E-02 3.417763683345862E+03 9 9.375000000000000E-02 3.419969846276046E+03 10 1.062500000000000E-01 3.417747618034867E+03 11 1.187500000000000E-01 3.419891636503360E+03 12 1.312500000000000E-01 3.417521697556917E+03 13 1.437500000000000E-01 3.419441363099636E+03 14 1.562500000000000E-01 3.416782992056962E+03 15 1.687500000000000E-01 3.418270874301514E+03 16 1.812500000000000E-01 3.414948546327408E+03 17 1.937500000000000E-01 3.415320440441033E+03 18 2.062500000000000E-01 3.410157259547036E+03 19 2.187500000000000E-01 3.407331908456755E+03 20 2.312500000000000E-01 3.396740589765819E+03 21 2.437500000000000E-01 3.384579073508258E+03 22 2.562500000000000E-01 3.358650353878859E+03 23 2.687500000000000E-01 3.322181281882741E+03 24 2.812500000000000E-01 3.260939593608414E+03 25 2.937500000000000E-01 3.177625836808751E+03 26 3.062500000000000E-01 3.062219086249708E+03 27 3.187500000000000E-01 2.924997837076721E+03 28 3.312500000000000E-01 2.766538814301417E+03 29 3.437500000000000E-01 2.604331144448193E+03 30 3.562500000000000E-01 2.441836042978592E+03 31 3.687500000000000E-01 2.292571331288903E+03 32 3.812500000000000E-01 2.154885128938842E+03 33 3.937500000000000E-01 2.036071307051250E+03 34 4.062500000000000E-01 1.931093062627095E+03 35 4.187500000000000E-01 1.844490041603269E+03 36 4.312500000000000E-01 1.770200474332167E+03 37 4.437500000000000E-01 1.712643982784699E+03 38 4.562500000000000E-01 1.664764941418205E+03 39 4.687500000000000E-01 1.633321822667164E+03 40 4.812500000000000E-01 1.607663473780636E+03 41 4.937500000000000E-01 1.601656232847346E+03 42 5.000000000000000E-01 1.598652612380701E+03 1.598652612380701E+03 = mínimo 5.000000000000000E-01 = X (m) 3.419979941570904E+03 = máximo 1.875000000000000E-02 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.706069041398462E+01 2 6.250000000000000E-03 9.686257687663456E+01 3 1.875000000000000E-02 9.646634980193411E+01 4 3.125000000000000E-02 9.752344848958758E+01 5 4.375000000000000E-02 9.674056365315144E+01 6 5.625000000000000E-02 9.743299311314479E+01 7 6.875000000000001E-02 9.667333801432459E+01 8 8.125000000000000E-02 9.746291591048177E+01 9 9.375000000000000E-02 9.680004824516159E+01 10 1.062500000000000E-01 9.799794709327992E+01 11 1.187500000000000E-01 9.937261576690740E+01 12 1.312500000000000E-01 1.053270851483054E+02 13 1.437500000000000E-01 1.131527869462296E+02 14 1.562500000000000E-01 1.263726912071748E+02 15 1.687500000000000E-01 1.430078621393979E+02 16 1.812500000000000E-01 1.677229062555577E+02 17 1.937500000000000E-01 1.997051457919208E+02 18 2.062500000000000E-01 2.450512729775777E+02 19 2.187500000000000E-01 3.047527436484802E+02 20 2.312500000000000E-01 3.868977184673424E+02 21 2.437500000000000E-01 4.941416527738120E+02 22 2.562500000000000E-01 6.350046770438963E+02 23 2.687500000000000E-01 8.100451143061478E+02 24 2.812500000000000E-01 1.022134441275550E+03 25 2.937500000000000E-01 1.262597234622759E+03 26 3.062500000000000E-01 1.523656464164305E+03 27 3.187500000000000E-01 1.787635689356759E+03 28 3.312500000000000E-01 2.043182801097109E+03 29 3.437500000000000E-01 2.275462529923412E+03 30 3.562500000000000E-01 2.481399999218667E+03 31 3.687500000000000E-01 2.656044821111412E+03 32 3.812500000000000E-01 2.804052096799609E+03 33 3.937500000000000E-01 2.925263229421114E+03 34 4.062500000000000E-01 3.026082911263318E+03 35 4.187500000000000E-01 3.106541358303295E+03 36 4.312500000000000E-01 3.172608718896144E+03 37 4.437500000000000E-01 3.222828523687176E+03 38 4.562500000000000E-01 3.263334491994021E+03 39 4.687500000000000E-01 3.289713425039684E+03 40 4.812500000000000E-01 3.310844842119840E+03 41 4.937500000000000E-01 3.315776764986580E+03 42 5.000000000000000E-01 3.318242726419950E+03 9.646634980193411E+01 = mínimo 1.875000000000000E-02 = X (m) 3.318242726419950E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.108657917782347E+00 2 6.250000000000000E-03 1.109045117764752E+00 3 1.875000000000000E-02 1.108310625506488E+00 4 3.125000000000000E-02 1.109011997866503E+00 5 4.375000000000000E-02 1.108296919668545E+00 6 5.625000000000000E-02 1.109016528606820E+00 7 6.875000000000001E-02 1.108300280377908E+00 8 8.125000000000000E-02 1.109015029628265E+00 9 9.375000000000000E-02 1.108293946323483E+00 10 1.062500000000000E-01 1.108988234003912E+00 11 1.187500000000000E-01 1.108164987894722E+00 12 1.312500000000000E-01 1.108610181559376E+00 13 1.437500000000000E-01 1.107418006088757E+00 14 1.562500000000000E-01 1.107375815373997E+00 15 1.687500000000000E-01 1.105481304824620E+00 16 1.812500000000000E-01 1.104322474530921E+00 17 1.937500000000000E-01 1.100612300554876E+00 18 2.062500000000000E-01 1.096393872501072E+00 19 2.187500000000000E-01 1.087509715189333E+00 20 2.312500000000000E-01 1.074435201008276E+00 21 2.437500000000000E-01 1.050751769375496E+00 22 2.562500000000000E-01 1.013726081504673E+00 23 2.687500000000000E-01 9.542568196357636E-01 24 2.812500000000000E-01 8.693424760173137E-01 25 2.937500000000000E-01 7.567780927543694E-01 26 3.062500000000000E-01 6.272528922177886E-01 27 3.187500000000000E-01 4.949776027232461E-01 28 3.312500000000000E-01 3.766611184702543E-01 29 3.437500000000000E-01 2.801863884702170E-01 30 3.562500000000000E-01 2.073855611302068E-01 31 3.687500000000000E-01 1.544764820719808E-01 32 3.812500000000000E-01 1.170806724662400E-01 33 3.937500000000000E-01 9.069666364334207E-02 34 4.062500000000000E-01 7.216097023477096E-02 35 4.187500000000000E-01 5.902844330715279E-02 36 4.312500000000000E-01 4.968055541484898E-02 37 4.437500000000000E-01 4.311530613841167E-02 38 4.562500000000000E-01 3.837637374625886E-02 39 4.687500000000000E-01 3.540925517929365E-02 40 4.812500000000000E-01 3.319158159826856E-02 41 4.937500000000000E-01 3.268443087317293E-02 42 5.000000000000000E-01 3.242942622421961E-02 3.242942622421961E-02 = mínimo 5.000000000000000E-01 = X (m) 1.109045117764752E+00 = máximo 6.250000000000000E-03 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 2.953090427095361E+03 2 6.250000000000000E-03 2.947062784100744E+03 3 1.875000000000000E-02 2.935007498111502E+03 4 3.125000000000000E-02 2.967169931756779E+03 5 4.375000000000000E-02 2.943350507990712E+03 6 5.625000000000000E-02 2.964417809294913E+03 7 6.875000000000001E-02 2.941305154824274E+03 8 8.125000000000000E-02 2.965328216237115E+03 9 9.375000000000000E-02 2.945160338298694E+03 10 1.062500000000000E-01 2.981606644274044E+03 11 1.187500000000000E-01 3.023431206650455E+03 12 1.312500000000000E-01 3.204597098358404E+03 13 1.437500000000000E-01 3.442695601121820E+03 14 1.562500000000000E-01 3.844913765381750E+03 15 1.687500000000000E-01 4.351042083895802E+03 16 1.812500000000000E-01 5.103002119141495E+03 17 1.937500000000000E-01 6.076067991731834E+03 18 2.062500000000000E-01 7.455732751241084E+03 19 2.187500000000000E-01 9.272161634754924E+03 20 2.312500000000000E-01 1.177143850716238E+04 21 2.437500000000000E-01 1.503435611483322E+04 22 2.562500000000000E-01 1.932014108843519E+04 23 2.687500000000000E-01 2.464578051495284E+04 24 2.812500000000000E-01 3.109863963321230E+04 25 2.937500000000000E-01 3.841476699720991E+04 26 3.062500000000000E-01 4.635754494754018E+04 27 3.187500000000000E-01 5.438916433478046E+04 28 3.312500000000000E-01 6.216423502646355E+04 29 3.437500000000000E-01 6.923139105718584E+04 30 3.562500000000000E-01 7.549707870645110E+04 31 3.687500000000000E-01 8.081068145822929E+04 32 3.812500000000000E-01 8.531383167394529E+04 33 3.937500000000000E-01 8.900170401315112E+04 34 4.062500000000000E-01 9.206916248723707E+04 35 4.187500000000000E-01 9.451712642319605E+04 36 4.312500000000000E-01 9.652723874856738E+04 37 4.437500000000000E-01 9.805518609930688E+04 38 4.562500000000000E-01 9.928758808137581E+04 39 4.687500000000000E-01 1.000901722616642E+05 40 4.812500000000000E-01 1.007330997457384E+05 41 4.937500000000000E-01 1.008831544604002E+05 42 5.000000000000000E-01 1.009581818177311E+05 2.935007498111502E+03 = mínimo 1.875000000000000E-02 = X (m) 1.009581818177311E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 1.999999999927586E+06 2 6.250000000000000E-03 2.000042568791829E+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 2.000043074536733E+06 11 1.187500000000000E-01 1.999959425253514E+06 12 1.312500000000000E-01 2.000057467668048E+06 13 1.437500000000000E-01 1.999974780829375E+06 14 1.562500000000000E-01 2.000108466114288E+06 15 1.687500000000000E-01 2.000039728650875E+06 16 1.812500000000000E-01 2.000276810364633E+06 17 1.937500000000000E-01 2.000290011904638E+06 18 2.062500000000000E-01 2.000829674065521E+06 19 2.187500000000000E-01 2.001168930500919E+06 20 2.312500000000000E-01 2.002521486521567E+06 21 2.437500000000000E-01 2.003640441670628E+06 22 2.562500000000000E-01 2.006221697605895E+06 23 2.687500000000000E-01 2.007100524124110E+06 24 2.812500000000000E-01 2.007886887787959E+06 25 2.937500000000000E-01 2.002349103340065E+06 26 3.062500000000000E-01 1.995952801420389E+06 27 3.187500000000000E-01 1.983984044315882E+06 28 3.312500000000000E-01 1.979301336162512E+06 29 3.437500000000000E-01 1.972540564264127E+06 30 3.562500000000000E-01 1.975136723238896E+06 31 3.687500000000000E-01 1.970093456037652E+06 32 3.812500000000000E-01 1.970732290684714E+06 33 3.937500000000000E-01 1.959319924101381E+06 34 4.062500000000000E-01 1.953129288794463E+06 35 4.187500000000000E-01 1.935551745010314E+06 36 4.312500000000000E-01 1.924944328836576E+06 37 4.437500000000000E-01 1.906704472060231E+06 38 4.562500000000000E-01 1.895976405037569E+06 39 4.687500000000000E-01 1.883439469098743E+06 40 4.812500000000000E-01 1.875434321617444E+06 41 4.937500000000000E-01 1.873242639289520E+06 42 5.000000000000000E-01 1.871926280976695E+06 1.871926280976695E+06 = mínimo 5.000000000000000E-01 = X (m) 2.007886887787959E+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 3.419236962230485E+03 3 1.875000000000000E-02 3.421423239438653E+03 4 3.125000000000000E-02 3.419237114432264E+03 5 4.375000000000000E-02 3.421423160902139E+03 6 5.625000000000000E-02 3.419237093289129E+03 7 6.875000000000001E-02 3.421423176110669E+03 8 8.125000000000000E-02 3.419237100626311E+03 9 9.375000000000000E-02 3.421423147437893E+03 10 1.062500000000000E-01 3.419237257684993E+03 11 1.187500000000000E-01 3.421423215570407E+03 12 1.312500000000000E-01 3.419242502927068E+03 13 1.437500000000000E-01 3.421427207218796E+03 14 1.562500000000000E-01 3.419260256282390E+03 15 1.687500000000000E-01 3.421443048396471E+03 16 1.812500000000000E-01 3.419312559115285E+03 17 1.937500000000000E-01 3.421507333204759E+03 18 2.062500000000000E-01 3.419474940159998E+03 19 2.187500000000000E-01 3.421744560505737E+03 20 2.312500000000000E-01 3.419981179647523E+03 21 2.437500000000000E-01 3.422510238808377E+03 22 2.562500000000000E-01 3.421363958420061E+03 23 2.687500000000000E-01 3.424408146470923E+03 24 2.812500000000000E-01 3.424186093239091E+03 25 2.937500000000000E-01 3.427768354588028E+03 26 3.062500000000000E-01 3.428781079329032E+03 27 3.187500000000000E-01 3.433700254258134E+03 28 3.312500000000000E-01 3.438068767945626E+03 29 3.437500000000000E-01 3.447348023607169E+03 30 3.562500000000000E-01 3.458174451310966E+03 31 3.687500000000000E-01 3.473649177773963E+03 32 3.812500000000000E-01 3.490676829271583E+03 33 3.937500000000000E-01 3.510305197063566E+03 34 4.062500000000000E-01 3.530129849541358E+03 35 4.187500000000000E-01 3.550058118169916E+03 36 4.312500000000000E-01 3.568747865093796E+03 37 4.437500000000000E-01 3.585323769812677E+03 38 4.562500000000000E-01 3.599840988904183E+03 39 4.687500000000000E-01 3.610232792377840E+03 40 4.812500000000000E-01 3.618914812660926E+03 41 4.937500000000000E-01 3.621017691501934E+03 42 5.000000000000000E-01 3.622081927759561E+03 3.419236962230485E+03 = mínimo 6.250000000000000E-03 = X (m) 3.622081927759561E+03 = máximo 5.000000000000000E-01 = X (m)