MACH1D 5.0, congelado, mod=05, N = 40 Dia = (9/3/2006) Hora = 7:39:7 *** 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 *** 1.003744252087037E+00 = coeficiente de descarga 1.004206589297448E+00 = empuxo 1.000460612560868E+00 = velocidade de ejeção dos gases 9.962697150402086E-01 = velocidade característica (m/s) 1.004206589297448E+00 = coeficiente de empuxo 1.000460612560868E+00 = impulso específico 1.323383574602503E+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 6.618991806242834E-02 2 6.250000000000000E-03 6.606501061398667E-02 3 1.875000000000000E-02 6.577424061131312E-02 4 3.125000000000000E-02 6.651594408612134E-02 5 4.375000000000000E-02 6.596128715529223E-02 6 5.625000000000000E-02 6.645422331765410E-02 7 6.875000000000001E-02 6.591543123047527E-02 8 8.125000000000000E-02 6.647464064506821E-02 9 9.375000000000000E-02 6.600186279354121E-02 10 1.062500000000000E-01 6.683971142918294E-02 11 1.187500000000000E-01 6.775668658268091E-02 12 1.312500000000000E-01 7.184087005849958E-02 13 1.437500000000000E-01 7.715755197582311E-02 14 1.562500000000000E-01 8.620457293182546E-02 15 1.687500000000000E-01 9.753157634093623E-02 16 1.812500000000000E-01 1.144412551244162E-01 17 1.937500000000000E-01 1.362562846123520E-01 18 2.062500000000000E-01 1.673181424849568E-01 19 2.187500000000000E-01 2.081652988191589E-01 20 2.312500000000000E-01 2.646749129995247E-01 21 2.437500000000000E-01 3.386285999116007E-01 22 2.562500000000000E-01 4.367859857846286E-01 23 2.687500000000000E-01 5.601435500296863E-01 24 2.812500000000000E-01 7.132020280288098E-01 25 2.937500000000000E-01 8.920902991120858E-01 26 3.062500000000000E-01 1.095959936847838E+00 27 3.187500000000000E-01 1.314583639636906E+00 28 3.312500000000000E-01 1.543300564605225E+00 29 3.437500000000000E-01 1.769272483638069E+00 30 3.562500000000000E-01 1.989717844409014E+00 31 3.687500000000000E-01 2.194691128768505E+00 32 3.812500000000000E-01 2.386092319265144E+00 33 3.937500000000000E-01 2.556908260107495E+00 34 4.062500000000000E-01 2.711886402148712E+00 35 4.187500000000000E-01 2.844719155940289E+00 36 4.312500000000000E-01 2.961805173190801E+00 37 4.437500000000000E-01 3.055628917032740E+00 38 4.562500000000000E-01 3.135332981659514E+00 39 4.687500000000000E-01 3.188954579532736E+00 40 4.812500000000000E-01 3.233244403107352E+00 41 4.937500000000000E-01 3.243720644767090E+00 42 5.000000000000000E-01 3.248976400664549E+00 6.577424061131312E-02 = mínimo 1.875000000000000E-02 = X (m) 3.248976400664549E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994772066950033E+06 2 6.250000000000000E-03 1.994834158917504E+06 3 1.875000000000000E-02 1.994795248687255E+06 4 3.125000000000000E-02 1.994763044429927E+06 5 4.375000000000000E-02 1.994765741325865E+06 6 5.625000000000000E-02 1.994772778072012E+06 7 6.875000000000001E-02 1.994772975282906E+06 8 8.125000000000000E-02 1.994769558166121E+06 9 9.375000000000000E-02 1.994759340360539E+06 10 1.062500000000000E-01 1.994711985004169E+06 11 1.187500000000000E-01 1.994481622983792E+06 12 1.312500000000000E-01 1.993900180837397E+06 13 1.437500000000000E-01 1.992874778351388E+06 14 1.562500000000000E-01 1.991249594712564E+06 15 1.687500000000000E-01 1.988708575180995E+06 16 1.812500000000000E-01 1.984693030308725E+06 17 1.937500000000000E-01 1.978240500452033E+06 18 2.062500000000000E-01 1.967679114855913E+06 19 2.187500000000000E-01 1.950117838597736E+06 20 2.312500000000000E-01 1.920683823509462E+06 21 2.437500000000000E-01 1.871621667225317E+06 22 2.562500000000000E-01 1.791837760165544E+06 23 2.687500000000000E-01 1.668406482627187E+06 24 2.812500000000000E-01 1.491924764892393E+06 25 2.937500000000000E-01 1.265565359365266E+06 26 3.062500000000000E-01 1.010862767825621E+06 27 3.187500000000000E-01 7.619463036829191E+05 28 3.312500000000000E-01 5.484042713598317E+05 29 3.437500000000000E-01 3.840223555742116E+05 30 3.562500000000000E-01 2.665067942690676E+05 31 3.687500000000000E-01 1.863796522852229E+05 32 3.812500000000000E-01 1.327769234847257E+05 33 3.937500000000000E-01 9.718462529234713E+04 34 4.062500000000000E-01 7.333627330535835E+04 35 4.187500000000000E-01 5.729951082561734E+04 36 4.312500000000000E-01 4.628307066137196E+04 37 4.437500000000000E-01 3.886080891600107E+04 38 4.562500000000000E-01 3.362250956516846E+04 39 4.687500000000000E-01 3.043699869219586E+04 40 4.812500000000000E-01 2.808253839286365E+04 41 4.937500000000000E-01 2.755012061595969E+04 42 5.000000000000000E-01 2.728391172750750E+04 2.728391172750750E+04 = mínimo 5.000000000000000E-01 = X (m) 1.994834158917504E+06 = máximo 6.250000000000000E-03 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.418868885348457E+03 2 6.250000000000000E-03 3.417781641723442E+03 3 1.875000000000000E-02 3.419979941570899E+03 4 3.125000000000000E-02 3.417761866235060E+03 5 4.375000000000000E-02 3.419971645443230E+03 6 5.625000000000000E-02 3.417764580657475E+03 7 6.875000000000001E-02 3.419973677416162E+03 8 8.125000000000000E-02 3.417763683345836E+03 9 9.375000000000000E-02 3.419969846276040E+03 10 1.062500000000000E-01 3.417747618034842E+03 11 1.187500000000000E-01 3.419891636503351E+03 12 1.312500000000000E-01 3.417521697556889E+03 13 1.437500000000000E-01 3.419441363099624E+03 14 1.562500000000000E-01 3.416782992056928E+03 15 1.687500000000000E-01 3.418270874301489E+03 16 1.812500000000000E-01 3.414948546327357E+03 17 1.937500000000000E-01 3.415320440440983E+03 18 2.062500000000000E-01 3.410157259546941E+03 19 2.187500000000000E-01 3.407331908456630E+03 20 2.312500000000000E-01 3.396740589765599E+03 21 2.437500000000000E-01 3.384579073507923E+03 22 2.562500000000000E-01 3.358650353878289E+03 23 2.687500000000000E-01 3.322181281881835E+03 24 2.812500000000000E-01 3.260939593606961E+03 25 2.937500000000000E-01 3.177625836806560E+03 26 3.062500000000000E-01 3.062219086246522E+03 27 3.187500000000000E-01 2.924997837072386E+03 28 3.312500000000000E-01 2.766538814295813E+03 29 3.437500000000000E-01 2.604331144441353E+03 30 3.562500000000000E-01 2.441836042970589E+03 31 3.687500000000000E-01 2.292571331279906E+03 32 3.812500000000000E-01 2.154885128928991E+03 33 3.937500000000000E-01 2.036071307040723E+03 34 4.062500000000000E-01 1.931093062616012E+03 35 4.187500000000000E-01 1.844490041591768E+03 36 4.312500000000000E-01 1.770200474320329E+03 37 4.437500000000000E-01 1.712643982772626E+03 38 4.562500000000000E-01 1.664764941405937E+03 39 4.687500000000000E-01 1.633321822654787E+03 40 4.812500000000000E-01 1.607663473768162E+03 41 4.937500000000000E-01 1.601656232834853E+03 42 5.000000000000000E-01 1.598652612368198E+03 1.598652612368198E+03 = mínimo 5.000000000000000E-01 = X (m) 3.419979941570899E+03 = máximo 1.875000000000000E-02 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.706069041442694E+01 2 6.250000000000000E-03 9.686257687707621E+01 3 1.875000000000000E-02 9.646634980237444E+01 4 3.125000000000000E-02 9.752344849003150E+01 5 4.375000000000000E-02 9.674056365359255E+01 6 5.625000000000000E-02 9.743299311358832E+01 7 6.875000000000001E-02 9.667333801476599E+01 8 8.125000000000000E-02 9.746291591092468E+01 9 9.375000000000000E-02 9.680004824560366E+01 10 1.062500000000000E-01 9.799794709372546E+01 11 1.187500000000000E-01 9.937261576736128E+01 12 1.312500000000000E-01 1.053270851487842E+02 13 1.437500000000000E-01 1.131527869467463E+02 14 1.562500000000000E-01 1.263726912077494E+02 15 1.687500000000000E-01 1.430078621400505E+02 16 1.812500000000000E-01 1.677229062563203E+02 17 1.937500000000000E-01 1.997051457928313E+02 18 2.062500000000000E-01 2.450512729786916E+02 19 2.187500000000000E-01 3.047527436498668E+02 20 2.312500000000000E-01 3.868977184690982E+02 21 2.437500000000000E-01 4.941416527760506E+02 22 2.562500000000000E-01 6.350046770467607E+02 23 2.687500000000000E-01 8.100451143097814E+02 24 2.812500000000000E-01 1.022134441280094E+03 25 2.937500000000000E-01 1.262597234628304E+03 26 3.062500000000000E-01 1.523656464170887E+03 27 3.187500000000000E-01 1.787635689364323E+03 28 3.312500000000000E-01 2.043182801105546E+03 29 3.437500000000000E-01 2.275462529932550E+03 30 3.562500000000000E-01 2.481399999228336E+03 31 3.687500000000000E-01 2.656044821121447E+03 32 3.812500000000000E-01 2.804052096809886E+03 33 3.937500000000000E-01 2.925263229431533E+03 34 4.062500000000000E-01 3.026082911273810E+03 35 4.187500000000000E-01 3.106541358313809E+03 36 4.312500000000000E-01 3.172608718906659E+03 37 4.437500000000000E-01 3.222828523697668E+03 38 4.562500000000000E-01 3.263334492004494E+03 39 4.687500000000000E-01 3.289713425050128E+03 40 4.812500000000000E-01 3.310844842130269E+03 41 4.937500000000000E-01 3.315776764997004E+03 42 5.000000000000000E-01 3.318242726430371E+03 9.646634980237444E+01 = mínimo 1.875000000000000E-02 = X (m) 3.318242726430371E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.108657917773495E+00 2 6.250000000000000E-03 1.109045117755900E+00 3 1.875000000000000E-02 1.108310625497635E+00 4 3.125000000000000E-02 1.109011997857651E+00 5 4.375000000000000E-02 1.108296919659693E+00 6 5.625000000000000E-02 1.109016528597968E+00 7 6.875000000000001E-02 1.108300280369056E+00 8 8.125000000000000E-02 1.109015029619414E+00 9 9.375000000000000E-02 1.108293946314631E+00 10 1.062500000000000E-01 1.108988233995061E+00 11 1.187500000000000E-01 1.108164987885872E+00 12 1.312500000000000E-01 1.108610181550528E+00 13 1.437500000000000E-01 1.107418006079913E+00 14 1.562500000000000E-01 1.107375815365160E+00 15 1.687500000000000E-01 1.105481304815793E+00 16 1.812500000000000E-01 1.104322474522110E+00 17 1.937500000000000E-01 1.100612300546090E+00 18 2.062500000000000E-01 1.096393872492327E+00 19 2.187500000000000E-01 1.087509715180658E+00 20 2.312500000000000E-01 1.074435200999717E+00 21 2.437500000000000E-01 1.050751769367131E+00 22 2.562500000000000E-01 1.013726081496624E+00 23 2.687500000000000E-01 9.542568196282087E-01 24 2.812500000000000E-01 8.693424760104703E-01 25 2.937500000000000E-01 7.567780927484523E-01 26 3.062500000000000E-01 6.272528922129352E-01 27 3.187500000000000E-01 4.949776027194597E-01 28 3.312500000000000E-01 3.766611184674144E-01 29 3.437500000000000E-01 2.801863884681352E-01 30 3.562500000000000E-01 2.073855611286913E-01 31 3.687500000000000E-01 1.544764820708692E-01 32 3.812500000000000E-01 1.170806724654110E-01 33 3.937500000000000E-01 9.069666364270879E-02 34 4.062500000000000E-01 7.216097023427383E-02 35 4.187500000000000E-01 5.902844330675101E-02 36 4.312500000000000E-01 4.968055541451392E-02 37 4.437500000000000E-01 4.311530613812396E-02 38 4.562500000000000E-01 3.837637374600377E-02 39 4.687500000000000E-01 3.540925517906036E-02 40 4.812500000000000E-01 3.319158159804983E-02 41 4.937500000000000E-01 3.268443087295834E-02 42 5.000000000000000E-01 3.242942622400663E-02 3.242942622400663E-02 = mínimo 5.000000000000000E-01 = X (m) 1.109045117755900E+00 = máximo 6.250000000000000E-03 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 2.953090427098697E+03 2 6.250000000000000E-03 2.947062784104081E+03 3 1.875000000000000E-02 2.935007498114840E+03 4 3.125000000000000E-02 2.967169931760116E+03 5 4.375000000000000E-02 2.943350507994046E+03 6 5.625000000000000E-02 2.964417809298248E+03 7 6.875000000000001E-02 2.941305154827623E+03 8 8.125000000000000E-02 2.965328216240427E+03 9 9.375000000000000E-02 2.945160338302050E+03 10 1.062500000000000E-01 2.981606644277381E+03 11 1.187500000000000E-01 3.023431206653902E+03 12 1.312500000000000E-01 3.204597098361989E+03 13 1.437500000000000E-01 3.442695601125740E+03 14 1.562500000000000E-01 3.844913765386055E+03 15 1.687500000000000E-01 4.351042083900747E+03 16 1.812500000000000E-01 5.103002119147207E+03 17 1.937500000000000E-01 6.076067991738711E+03 18 2.062500000000000E-01 7.455732751249421E+03 19 2.187500000000000E-01 9.272161634765334E+03 20 2.312500000000000E-01 1.177143850717545E+04 21 2.437500000000000E-01 1.503435611484980E+04 22 2.562500000000000E-01 1.932014108845612E+04 23 2.687500000000000E-01 2.464578051497893E+04 24 2.812500000000000E-01 3.109863963324397E+04 25 2.937500000000000E-01 3.841476699724697E+04 26 3.062500000000000E-01 4.635754494758155E+04 27 3.187500000000000E-01 5.438916433482421E+04 28 3.312500000000000E-01 6.216423502650717E+04 29 3.437500000000000E-01 6.923139105722660E+04 30 3.562500000000000E-01 7.549707870648654E+04 31 3.687500000000000E-01 8.081068145825763E+04 32 3.812500000000000E-01 8.531383167396559E+04 33 3.937500000000000E-01 8.900170401316305E+04 34 4.062500000000000E-01 9.206916248724076E+04 35 4.187500000000000E-01 9.451712642319204E+04 36 4.312500000000000E-01 9.652723874855648E+04 37 4.437500000000000E-01 9.805518609929003E+04 38 4.562500000000000E-01 9.928758808135416E+04 39 4.687500000000000E-01 1.000901722616389E+05 40 4.812500000000000E-01 1.007330997457105E+05 41 4.937500000000000E-01 1.008831544603716E+05 42 5.000000000000000E-01 1.009581818177021E+05 2.935007498114840E+03 = mínimo 1.875000000000000E-02 = X (m) 1.009581818177021E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 1.999999999927588E+06 2 6.250000000000000E-03 2.000042568791827E+06 3 1.875000000000000E-02 1.999957663848557E+06 4 3.125000000000000E-02 2.000042689625502E+06 5 4.375000000000000E-02 1.999957515194957E+06 6 5.625000000000000E-02 2.000042644526388E+06 7 6.875000000000001E-02 1.999957543947499E+06 8 8.125000000000000E-02 2.000042658442103E+06 9 9.375000000000000E-02 1.999957493922620E+06 10 1.062500000000000E-01 2.000043074536734E+06 11 1.187500000000000E-01 1.999959425253514E+06 12 1.312500000000000E-01 2.000057467668046E+06 13 1.437500000000000E-01 1.999974780829377E+06 14 1.562500000000000E-01 2.000108466114286E+06 15 1.687500000000000E-01 2.000039728650875E+06 16 1.812500000000000E-01 2.000276810364636E+06 17 1.937500000000000E-01 2.000290011904639E+06 18 2.062500000000000E-01 2.000829674065523E+06 19 2.187500000000000E-01 2.001168930500921E+06 20 2.312500000000000E-01 2.002521486521571E+06 21 2.437500000000000E-01 2.003640441670634E+06 22 2.562500000000000E-01 2.006221697605905E+06 23 2.687500000000000E-01 2.007100524124127E+06 24 2.812500000000000E-01 2.007886887787992E+06 25 2.937500000000000E-01 2.002349103340134E+06 26 3.062500000000000E-01 1.995952801420541E+06 27 3.187500000000000E-01 1.983984044316172E+06 28 3.312500000000000E-01 1.979301336163057E+06 29 3.437500000000000E-01 1.972540564264993E+06 30 3.562500000000000E-01 1.975136723240179E+06 31 3.687500000000000E-01 1.970093456039328E+06 32 3.812500000000000E-01 1.970732290686809E+06 33 3.937500000000000E-01 1.959319924103803E+06 34 4.062500000000000E-01 1.953129288797193E+06 35 4.187500000000000E-01 1.935551745013236E+06 36 4.312500000000000E-01 1.924944328839677E+06 37 4.437500000000000E-01 1.906704472063429E+06 38 4.562500000000000E-01 1.895976405040843E+06 39 4.687500000000000E-01 1.883439469102065E+06 40 4.812500000000000E-01 1.875434321620778E+06 41 4.937500000000000E-01 1.873242639292894E+06 42 5.000000000000000E-01 1.871926280980057E+06 1.871926280980057E+06 = mínimo 5.000000000000000E-01 = X (m) 2.007886887787992E+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 3.419236962230473E+03 3 1.875000000000000E-02 3.421423239438658E+03 4 3.125000000000000E-02 3.419237114432251E+03 5 4.375000000000000E-02 3.421423160902144E+03 6 5.625000000000000E-02 3.419237093289116E+03 7 6.875000000000001E-02 3.421423176110672E+03 8 8.125000000000000E-02 3.419237100626294E+03 9 9.375000000000000E-02 3.421423147437898E+03 10 1.062500000000000E-01 3.419237257684978E+03 11 1.187500000000000E-01 3.421423215570409E+03 12 1.312500000000000E-01 3.419242502927052E+03 13 1.437500000000000E-01 3.421427207218798E+03 14 1.562500000000000E-01 3.419260256282372E+03 15 1.687500000000000E-01 3.421443048396468E+03 16 1.812500000000000E-01 3.419312559115266E+03 17 1.937500000000000E-01 3.421507333204752E+03 18 2.062500000000000E-01 3.419474940159967E+03 19 2.187500000000000E-01 3.421744560505712E+03 20 2.312500000000000E-01 3.419981179647465E+03 21 2.437500000000000E-01 3.422510238808304E+03 22 2.562500000000000E-01 3.421363958419924E+03 23 2.687500000000000E-01 3.424408146470719E+03 24 2.812500000000000E-01 3.424186093238748E+03 25 2.937500000000000E-01 3.427768354587520E+03 26 3.062500000000000E-01 3.428781079328279E+03 27 3.187500000000000E-01 3.433700254257117E+03 28 3.312500000000000E-01 3.438068767944321E+03 29 3.437500000000000E-01 3.447348023605613E+03 30 3.562500000000000E-01 3.458174451309201E+03 31 3.687500000000000E-01 3.473649177772063E+03 32 3.812500000000000E-01 3.490676829269606E+03 33 3.937500000000000E-01 3.510305197061568E+03 34 4.062500000000000E-01 3.530129849539378E+03 35 4.187500000000000E-01 3.550058118167980E+03 36 4.312500000000000E-01 3.568747865091918E+03 37 4.437500000000000E-01 3.585323769810858E+03 38 4.562500000000000E-01 3.599840988902424E+03 39 4.687500000000000E-01 3.610232792376121E+03 40 4.812500000000000E-01 3.618914812659250E+03 41 4.937500000000000E-01 3.621017691500265E+03 42 5.000000000000000E-01 3.622081927757896E+03 3.419236962230473E+03 = mínimo 6.250000000000000E-03 = X (m) 3.622081927757896E+03 = máximo 5.000000000000000E-01 = X (m)