MACH1D 5.0, congelado, mod=07, N = 40 Dia = (10/3/2006) Hora = 17:19:37 *** 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 *** 1.003744252086798E+00 = coeficiente de descarga 1.004206589297428E+00 = empuxo 1.000460612561088E+00 = velocidade de ejeção dos gases 9.962697150404466E-01 = velocidade característica (m/s) 1.004206589297428E+00 = coeficiente de empuxo 1.000460612561087E+00 = impulso específico 1.323383574601260E+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 6.618991806242770E-02 2 6.250000000000000E-03 6.606501061398552E-02 3 1.875000000000000E-02 6.577424061131100E-02 4 3.125000000000000E-02 6.651594408612192E-02 5 4.375000000000000E-02 6.596128715529107E-02 6 5.625000000000000E-02 6.645422331765399E-02 7 6.875000000000001E-02 6.591543123047390E-02 8 8.125000000000000E-02 6.647464064506838E-02 9 9.375000000000000E-02 6.600186279353970E-02 10 1.062500000000000E-01 6.683971142918341E-02 11 1.187500000000000E-01 6.775668658267914E-02 12 1.312500000000000E-01 7.184087005849994E-02 13 1.437500000000000E-01 7.715755197582126E-02 14 1.562500000000000E-01 8.620457293182562E-02 15 1.687500000000000E-01 9.753157634093439E-02 16 1.812500000000000E-01 1.144412551244160E-01 17 1.937500000000000E-01 1.362562846123498E-01 18 2.062500000000000E-01 1.673181424849562E-01 19 2.187500000000000E-01 2.081652988191557E-01 20 2.312500000000000E-01 2.646749129995230E-01 21 2.437500000000000E-01 3.386285999115966E-01 22 2.562500000000000E-01 4.367859857846261E-01 23 2.687500000000000E-01 5.601435500296814E-01 24 2.812500000000000E-01 7.132020280288083E-01 25 2.937500000000000E-01 8.920902991120851E-01 26 3.062500000000000E-01 1.095959936847847E+00 27 3.187500000000000E-01 1.314583639636926E+00 28 3.312500000000000E-01 1.543300564605266E+00 29 3.437500000000000E-01 1.769272483638135E+00 30 3.562500000000000E-01 1.989717844409119E+00 31 3.687500000000000E-01 2.194691128768646E+00 32 3.812500000000000E-01 2.386092319265332E+00 33 3.937500000000000E-01 2.556908260107722E+00 34 4.062500000000000E-01 2.711886402148991E+00 35 4.187500000000000E-01 2.844719155940607E+00 36 4.312500000000000E-01 2.961805173191167E+00 37 4.437500000000000E-01 3.055628917033137E+00 38 4.562500000000000E-01 3.135332981659949E+00 39 4.687500000000000E-01 3.188954579533191E+00 40 4.812500000000000E-01 3.233244403107829E+00 41 4.937500000000000E-01 3.243720644767570E+00 42 5.000000000000000E-01 3.248976400665031E+00 6.577424061131100E-02 = mínimo 1.875000000000000E-02 = X (m) 3.248976400665031E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994772066950031E+06 2 6.250000000000000E-03 1.994834158917502E+06 3 1.875000000000000E-02 1.994795248687253E+06 4 3.125000000000000E-02 1.994763044429925E+06 5 4.375000000000000E-02 1.994765741325863E+06 6 5.625000000000000E-02 1.994772778072009E+06 7 6.875000000000001E-02 1.994772975282903E+06 8 8.125000000000000E-02 1.994769558166119E+06 9 9.375000000000000E-02 1.994759340360537E+06 10 1.062500000000000E-01 1.994711985004167E+06 11 1.187500000000000E-01 1.994481622983790E+06 12 1.312500000000000E-01 1.993900180837395E+06 13 1.437500000000000E-01 1.992874778351386E+06 14 1.562500000000000E-01 1.991249594712561E+06 15 1.687500000000000E-01 1.988708575180992E+06 16 1.812500000000000E-01 1.984693030308722E+06 17 1.937500000000000E-01 1.978240500452029E+06 18 2.062500000000000E-01 1.967679114855908E+06 19 2.187500000000000E-01 1.950117838597731E+06 20 2.312500000000000E-01 1.920683823509454E+06 21 2.437500000000000E-01 1.871621667225305E+06 22 2.562500000000000E-01 1.791837760165526E+06 23 2.687500000000000E-01 1.668406482627161E+06 24 2.812500000000000E-01 1.491924764892356E+06 25 2.937500000000000E-01 1.265565359365218E+06 26 3.062500000000000E-01 1.010862767825562E+06 27 3.187500000000000E-01 7.619463036828559E+05 28 3.312500000000000E-01 5.484042713597689E+05 29 3.437500000000000E-01 3.840223555741543E+05 30 3.562500000000000E-01 2.665067942690174E+05 31 3.687500000000000E-01 1.863796522851805E+05 32 3.812500000000000E-01 1.327769234846903E+05 33 3.937500000000000E-01 9.718462529231778E+04 34 4.062500000000000E-01 7.333627330533361E+04 35 4.187500000000000E-01 5.729951082559628E+04 36 4.312500000000000E-01 4.628307066135358E+04 37 4.437500000000000E-01 3.886080891598479E+04 38 4.562500000000000E-01 3.362250956515365E+04 39 4.687500000000000E-01 3.043699869218203E+04 40 4.812500000000000E-01 2.808253839285066E+04 41 4.937500000000000E-01 2.755012061594667E+04 42 5.000000000000000E-01 2.728391172749471E+04 2.728391172749471E+04 = mínimo 5.000000000000000E-01 = X (m) 1.994834158917502E+06 = máximo 6.250000000000000E-03 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.418868885348456E+03 2 6.250000000000000E-03 3.417781641723437E+03 3 1.875000000000000E-02 3.419979941570906E+03 4 3.125000000000000E-02 3.417761866235056E+03 5 4.375000000000000E-02 3.419971645443238E+03 6 5.625000000000000E-02 3.417764580657471E+03 7 6.875000000000001E-02 3.419973677416168E+03 8 8.125000000000000E-02 3.417763683345831E+03 9 9.375000000000000E-02 3.419969846276048E+03 10 1.062500000000000E-01 3.417747618034835E+03 11 1.187500000000000E-01 3.419891636503359E+03 12 1.312500000000000E-01 3.417521697556886E+03 13 1.437500000000000E-01 3.419441363099631E+03 14 1.562500000000000E-01 3.416782992056927E+03 15 1.687500000000000E-01 3.418270874301493E+03 16 1.812500000000000E-01 3.414948546327354E+03 17 1.937500000000000E-01 3.415320440440986E+03 18 2.062500000000000E-01 3.410157259546934E+03 19 2.187500000000000E-01 3.407331908456627E+03 20 2.312500000000000E-01 3.396740589765582E+03 21 2.437500000000000E-01 3.384579073507906E+03 22 2.562500000000000E-01 3.358650353878249E+03 23 2.687500000000000E-01 3.322181281881778E+03 24 2.812500000000000E-01 3.260939593606859E+03 25 2.937500000000000E-01 3.177625836806410E+03 26 3.062500000000000E-01 3.062219086246295E+03 27 3.187500000000000E-01 2.924997837072081E+03 28 3.312500000000000E-01 2.766538814295412E+03 29 3.437500000000000E-01 2.604331144440868E+03 30 3.562500000000000E-01 2.441836042970014E+03 31 3.687500000000000E-01 2.292571331279263E+03 32 3.812500000000000E-01 2.154885128928281E+03 33 3.937500000000000E-01 2.036071307039967E+03 34 4.062500000000000E-01 1.931093062615211E+03 35 4.187500000000000E-01 1.844490041590940E+03 36 4.312500000000000E-01 1.770200474319470E+03 37 4.437500000000000E-01 1.712643982771753E+03 38 4.562500000000000E-01 1.664764941405046E+03 39 4.687500000000000E-01 1.633321822653891E+03 40 4.812500000000000E-01 1.607663473767256E+03 41 4.937500000000000E-01 1.601656232833946E+03 42 5.000000000000000E-01 1.598652612367291E+03 1.598652612367291E+03 = mínimo 5.000000000000000E-01 = X (m) 3.419979941570906E+03 = máximo 1.875000000000000E-02 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.706069041445802E+01 2 6.250000000000000E-03 9.686257687710643E+01 3 1.875000000000000E-02 9.646634980240327E+01 4 3.125000000000000E-02 9.752344849006450E+01 5 4.375000000000000E-02 9.674056365362286E+01 6 5.625000000000000E-02 9.743299311362027E+01 7 6.875000000000001E-02 9.667333801479596E+01 8 8.125000000000000E-02 9.746291591095704E+01 9 9.375000000000000E-02 9.680004824563349E+01 10 1.062500000000000E-01 9.799794709375841E+01 11 1.187500000000000E-01 9.937261576739158E+01 12 1.312500000000000E-01 1.053270851488194E+02 13 1.437500000000000E-01 1.131527869467810E+02 14 1.562500000000000E-01 1.263726912077914E+02 15 1.687500000000000E-01 1.430078621400951E+02 16 1.812500000000000E-01 1.677229062563753E+02 17 1.937500000000000E-01 1.997051457928940E+02 18 2.062500000000000E-01 2.450512729787714E+02 19 2.187500000000000E-01 3.047527436499627E+02 20 2.312500000000000E-01 3.868977184692225E+02 21 2.437500000000000E-01 4.941416527762066E+02 22 2.562500000000000E-01 6.350046770469630E+02 23 2.687500000000000E-01 8.100451143100352E+02 24 2.812500000000000E-01 1.022134441280414E+03 25 2.937500000000000E-01 1.262597234628693E+03 26 3.062500000000000E-01 1.523656464171350E+03 27 3.187500000000000E-01 1.787635689364854E+03 28 3.312500000000000E-01 2.043182801106137E+03 29 3.437500000000000E-01 2.275462529933190E+03 30 3.562500000000000E-01 2.481399999229015E+03 31 3.687500000000000E-01 2.656044821122149E+03 32 3.812500000000000E-01 2.804052096810607E+03 33 3.937500000000000E-01 2.925263229432258E+03 34 4.062500000000000E-01 3.026082911274543E+03 35 4.187500000000000E-01 3.106541358314541E+03 36 4.312500000000000E-01 3.172608718907393E+03 37 4.437500000000000E-01 3.222828523698399E+03 38 4.562500000000000E-01 3.263334492005225E+03 39 4.687500000000000E-01 3.289713425050857E+03 40 4.812500000000000E-01 3.310844842130999E+03 41 4.937500000000000E-01 3.315776764997732E+03 42 5.000000000000000E-01 3.318242726431098E+03 9.646634980240327E+01 = mínimo 1.875000000000000E-02 = X (m) 3.318242726431098E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.108657917772875E+00 2 6.250000000000000E-03 1.109045117755281E+00 3 1.875000000000000E-02 1.108310625497013E+00 4 3.125000000000000E-02 1.109011997857032E+00 5 4.375000000000000E-02 1.108296919659070E+00 6 5.625000000000000E-02 1.109016528597349E+00 7 6.875000000000001E-02 1.108300280368435E+00 8 8.125000000000000E-02 1.109015029618796E+00 9 9.375000000000000E-02 1.108293946314009E+00 10 1.062500000000000E-01 1.108988233994443E+00 11 1.187500000000000E-01 1.108164987885250E+00 12 1.312500000000000E-01 1.108610181549909E+00 13 1.437500000000000E-01 1.107418006079291E+00 14 1.562500000000000E-01 1.107375815364541E+00 15 1.687500000000000E-01 1.105481304815173E+00 16 1.812500000000000E-01 1.104322474521492E+00 17 1.937500000000000E-01 1.100612300545473E+00 18 2.062500000000000E-01 1.096393872491715E+00 19 2.187500000000000E-01 1.087509715180048E+00 20 2.312500000000000E-01 1.074435200999118E+00 21 2.437500000000000E-01 1.050751769366543E+00 22 2.562500000000000E-01 1.013726081496061E+00 23 2.687500000000000E-01 9.542568196276777E-01 24 2.812500000000000E-01 8.693424760099909E-01 25 2.937500000000000E-01 7.567780927480366E-01 26 3.062500000000000E-01 6.272528922125953E-01 27 3.187500000000000E-01 4.949776027191939E-01 28 3.312500000000000E-01 3.766611184672158E-01 29 3.437500000000000E-01 2.801863884679890E-01 30 3.562500000000000E-01 2.073855611285853E-01 31 3.687500000000000E-01 1.544764820707912E-01 32 3.812500000000000E-01 1.170806724653530E-01 33 3.937500000000000E-01 9.069666364266445E-02 34 4.062500000000000E-01 7.216097023423915E-02 35 4.187500000000000E-01 5.902844330672288E-02 36 4.312500000000000E-01 4.968055541449055E-02 37 4.437500000000000E-01 4.311530613810380E-02 38 4.562500000000000E-01 3.837637374598599E-02 39 4.687500000000000E-01 3.540925517904397E-02 40 4.812500000000000E-01 3.319158159803463E-02 41 4.937500000000000E-01 3.268443087294316E-02 42 5.000000000000000E-01 3.242942622399173E-02 3.242942622399173E-02 = mínimo 5.000000000000000E-01 = X (m) 1.109045117755281E+00 = máximo 6.250000000000000E-03 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 2.953090427098937E+03 2 6.250000000000000E-03 2.947062784104296E+03 3 1.875000000000000E-02 2.935007498115016E+03 4 3.125000000000000E-02 2.967169931760411E+03 5 4.375000000000000E-02 2.943350507994264E+03 6 5.625000000000000E-02 2.964417809298511E+03 7 6.875000000000001E-02 2.941305154827832E+03 8 8.125000000000000E-02 2.965328216240703E+03 9 9.375000000000000E-02 2.945160338302254E+03 10 1.062500000000000E-01 2.981606644277671E+03 11 1.187500000000000E-01 3.023431206654101E+03 12 1.312500000000000E-01 3.204597098362296E+03 13 1.437500000000000E-01 3.442695601125974E+03 14 1.562500000000000E-01 3.844913765386413E+03 15 1.687500000000000E-01 4.351042083901063E+03 16 1.812500000000000E-01 5.103002119147660E+03 17 1.937500000000000E-01 6.076067991739166E+03 18 2.062500000000000E-01 7.455732751250068E+03 19 2.187500000000000E-01 9.272161634766037E+03 20 2.312500000000000E-01 1.177143850717642E+04 21 2.437500000000000E-01 1.503435611485096E+04 22 2.562500000000000E-01 1.932014108845765E+04 23 2.687500000000000E-01 2.464578051498076E+04 24 2.812500000000000E-01 3.109863963324627E+04 25 2.937500000000000E-01 3.841476699724960E+04 26 3.062500000000000E-01 4.635754494758455E+04 27 3.187500000000000E-01 5.438916433482735E+04 28 3.312500000000000E-01 6.216423502651030E+04 29 3.437500000000000E-01 6.923139105722951E+04 30 3.562500000000000E-01 7.549707870648913E+04 31 3.687500000000000E-01 8.081068145825970E+04 32 3.812500000000000E-01 8.531383167396711E+04 33 3.937500000000000E-01 8.900170401316384E+04 34 4.062500000000000E-01 9.206916248724103E+04 35 4.187500000000000E-01 9.451712642319170E+04 36 4.312500000000000E-01 9.652723874855574E+04 37 4.437500000000000E-01 9.805518609928884E+04 38 4.562500000000000E-01 9.928758808135267E+04 39 4.687500000000000E-01 1.000901722616372E+05 40 4.812500000000000E-01 1.007330997457086E+05 41 4.937500000000000E-01 1.008831544603696E+05 42 5.000000000000000E-01 1.009581818177001E+05 2.935007498115016E+03 = mínimo 1.875000000000000E-02 = X (m) 1.009581818177001E+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 2.000042568791825E+06 3 1.875000000000000E-02 1.999957663848554E+06 4 3.125000000000000E-02 2.000042689625500E+06 5 4.375000000000000E-02 1.999957515194955E+06 6 5.625000000000000E-02 2.000042644526388E+06 7 6.875000000000001E-02 1.999957543947497E+06 8 8.125000000000000E-02 2.000042658442103E+06 9 9.375000000000000E-02 1.999957493922617E+06 10 1.062500000000000E-01 2.000043074536732E+06 11 1.187500000000000E-01 1.999959425253511E+06 12 1.312500000000000E-01 2.000057467668046E+06 13 1.437500000000000E-01 1.999974780829374E+06 14 1.562500000000000E-01 2.000108466114284E+06 15 1.687500000000000E-01 2.000039728650871E+06 16 1.812500000000000E-01 2.000276810364632E+06 17 1.937500000000000E-01 2.000290011904637E+06 18 2.062500000000000E-01 2.000829674065519E+06 19 2.187500000000000E-01 2.001168930500917E+06 20 2.312500000000000E-01 2.002521486521569E+06 21 2.437500000000000E-01 2.003640441670631E+06 22 2.562500000000000E-01 2.006221697605906E+06 23 2.687500000000000E-01 2.007100524124125E+06 24 2.812500000000000E-01 2.007886887787995E+06 25 2.937500000000000E-01 2.002349103340132E+06 26 3.062500000000000E-01 1.995952801420544E+06 27 3.187500000000000E-01 1.983984044316175E+06 28 3.312500000000000E-01 1.979301336163067E+06 29 3.437500000000000E-01 1.972540564265004E+06 30 3.562500000000000E-01 1.975136723240207E+06 31 3.687500000000000E-01 1.970093456039350E+06 32 3.812500000000000E-01 1.970732290686845E+06 33 3.937500000000000E-01 1.959319924103814E+06 34 4.062500000000000E-01 1.953129288797215E+06 35 4.187500000000000E-01 1.935551745013234E+06 36 4.312500000000000E-01 1.924944328839680E+06 37 4.437500000000000E-01 1.906704472063410E+06 38 4.562500000000000E-01 1.895976405040829E+06 39 4.687500000000000E-01 1.883439469102031E+06 40 4.812500000000000E-01 1.875434321620758E+06 41 4.937500000000000E-01 1.873242639292849E+06 42 5.000000000000000E-01 1.871926280980021E+06 1.871926280980021E+06 = mínimo 5.000000000000000E-01 = X (m) 2.007886887787995E+06 = máximo 2.812500000000000E-01 = X (m) *** temperatura de estagnação *** ponto x (m) T_estagnação (K) 1 0.000000000000000E+00 3.420330094621957E+03 2 6.250000000000000E-03 3.419236962230469E+03 3 1.875000000000000E-02 3.421423239438665E+03 4 3.125000000000000E-02 3.419237114432248E+03 5 4.375000000000000E-02 3.421423160902153E+03 6 5.625000000000000E-02 3.419237093289114E+03 7 6.875000000000001E-02 3.421423176110678E+03 8 8.125000000000000E-02 3.419237100626291E+03 9 9.375000000000000E-02 3.421423147437905E+03 10 1.062500000000000E-01 3.419237257684972E+03 11 1.187500000000000E-01 3.421423215570418E+03 12 1.312500000000000E-01 3.419242502927051E+03 13 1.437500000000000E-01 3.421427207218806E+03 14 1.562500000000000E-01 3.419260256282373E+03 15 1.687500000000000E-01 3.421443048396474E+03 16 1.812500000000000E-01 3.419312559115265E+03 17 1.937500000000000E-01 3.421507333204759E+03 18 2.062500000000000E-01 3.419474940159966E+03 19 2.187500000000000E-01 3.421744560505718E+03 20 2.312500000000000E-01 3.419981179647461E+03 21 2.437500000000000E-01 3.422510238808311E+03 22 2.562500000000000E-01 3.421363958419921E+03 23 2.687500000000000E-01 3.424408146470722E+03 24 2.812500000000000E-01 3.424186093238744E+03 25 2.937500000000000E-01 3.427768354587517E+03 26 3.062500000000000E-01 3.428781079328266E+03 27 3.187500000000000E-01 3.433700254257106E+03 28 3.312500000000000E-01 3.438068767944301E+03 29 3.437500000000000E-01 3.447348023605601E+03 30 3.562500000000000E-01 3.458174451309189E+03 31 3.687500000000000E-01 3.473649177772064E+03 32 3.812500000000000E-01 3.490676829269616E+03 33 3.937500000000000E-01 3.510305197061595E+03 34 4.062500000000000E-01 3.530129849539420E+03 35 4.187500000000000E-01 3.550058118168039E+03 36 4.312500000000000E-01 3.568747865091995E+03 37 4.437500000000000E-01 3.585323769810950E+03 38 4.562500000000000E-01 3.599840988902526E+03 39 4.687500000000000E-01 3.610232792376236E+03 40 4.812500000000000E-01 3.618914812659374E+03 41 4.937500000000000E-01 3.621017691500390E+03 42 5.000000000000000E-01 3.622081927758023E+03 3.419236962230469E+03 = mínimo 6.250000000000000E-03 = X (m) 3.622081927758023E+03 = máximo 5.000000000000000E-01 = X (m)