MACH1D 5.0, congelado, mod=10, N = 40 Dia = (10/3/2006) Hora = 8:17:48 *** 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 *** 1.003752354384522E+00 = coeficiente de descarga 1.004207536924903E+00 = empuxo 1.000453480919265E+00 = velocidade de ejeção dos gases 9.962616731426519E-01 = velocidade característica (m/s) 1.004207536924903E+00 = coeficiente de empuxo 1.000453480919265E+00 = impulso específico 1.323454698987750E+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 6.618996527885222E-02 2 6.250000000000000E-03 6.606505928127303E-02 3 1.875000000000000E-02 6.577429441185739E-02 4 3.125000000000000E-02 6.651598604361041E-02 5 4.375000000000000E-02 6.596133817990721E-02 6 5.625000000000000E-02 6.645426620471671E-02 7 6.875000000000001E-02 6.591548298658455E-02 8 8.125000000000000E-02 6.647468347187896E-02 9 9.375000000000000E-02 6.600191444143430E-02 10 1.062500000000000E-01 6.683975450013971E-02 11 1.187500000000000E-01 6.775673952348354E-02 12 1.312500000000000E-01 7.184091663408211E-02 13 1.437500000000000E-01 7.715761163956682E-02 14 1.562500000000000E-01 8.620462951801161E-02 15 1.687500000000000E-01 9.753165051809641E-02 16 1.812500000000000E-01 1.144413312402117E-01 17 1.937500000000000E-01 1.362563860402646E-01 18 2.062500000000000E-01 1.673182544417427E-01 19 2.187500000000000E-01 2.081654492092028E-01 20 2.312500000000000E-01 2.646750870957943E-01 21 2.437500000000000E-01 3.386288299658996E-01 22 2.562500000000000E-01 4.367862477042228E-01 23 2.687500000000000E-01 5.601438644619775E-01 24 2.812500000000000E-01 7.132023191523934E-01 25 2.937500000000000E-01 8.920905165068824E-01 26 3.062500000000000E-01 1.095959862767671E+00 27 3.187500000000000E-01 1.314583084895870E+00 28 3.312500000000000E-01 1.543299140732844E+00 29 3.437500000000000E-01 1.769269936259551E+00 30 3.562500000000000E-01 1.989713756810005E+00 31 3.687500000000000E-01 2.194685341571950E+00 32 3.812500000000000E-01 2.386084517414740E+00 33 3.937500000000000E-01 2.556898453457913E+00 34 4.062500000000000E-01 2.711874412949090E+00 35 4.187500000000000E-01 2.844705183354560E+00 36 4.312500000000000E-01 2.961789164911723E+00 37 4.437500000000000E-01 3.055611270195322E+00 38 4.562500000000000E-01 3.135313723381461E+00 39 4.687500000000000E-01 3.188934305791318E+00 40 4.812500000000000E-01 3.233223151348767E+00 41 4.937500000000000E-01 3.243699183503147E+00 42 5.000000000000000E-01 3.248954833520455E+00 6.577429441185739E-02 = mínimo 1.875000000000000E-02 = X (m) 3.248954833520455E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994772086034634E+06 2 6.250000000000000E-03 1.994834176808373E+06 3 1.875000000000000E-02 1.994795267326395E+06 4 3.125000000000000E-02 1.994763063687988E+06 5 4.375000000000000E-02 1.994765760531649E+06 6 5.625000000000000E-02 1.994772797141179E+06 7 6.875000000000001E-02 1.994772994341734E+06 8 8.125000000000000E-02 1.994769577258783E+06 9 9.375000000000000E-02 1.994759359495923E+06 10 1.062500000000000E-01 1.994712004308499E+06 11 1.187500000000000E-01 1.994481643126035E+06 12 1.312500000000000E-01 1.993900203099342E+06 13 1.437500000000000E-01 1.992874804349237E+06 14 1.562500000000000E-01 1.991249626626755E+06 15 1.687500000000000E-01 1.988708616334352E+06 16 1.812500000000000E-01 1.984693086037651E+06 17 1.937500000000000E-01 1.978240579531871E+06 18 2.062500000000000E-01 1.967679231979283E+06 19 2.187500000000000E-01 1.950118018474526E+06 20 2.312500000000000E-01 1.920684107230904E+06 21 2.437500000000000E-01 1.871622120291824E+06 22 2.562500000000000E-01 1.791838479121468E+06 23 2.687500000000000E-01 1.668407589183466E+06 24 2.812500000000000E-01 1.491926375519490E+06 25 2.937500000000000E-01 1.265567518764909E+06 26 3.062500000000000E-01 1.010865395445780E+06 27 3.187500000000000E-01 7.619491811274169E+05 28 3.312500000000000E-01 5.484071469362963E+05 29 3.437500000000000E-01 3.840250125647423E+05 30 3.562500000000000E-01 2.665091311304088E+05 31 3.687500000000000E-01 1.863816398540802E+05 32 3.812500000000000E-01 1.327785963918742E+05 33 3.937500000000000E-01 9.718602899973564E+04 34 4.062500000000000E-01 7.333746466432624E+04 35 4.187500000000000E-01 5.730053274578417E+04 36 4.312500000000000E-01 4.628396687860961E+04 37 4.437500000000000E-01 3.886160696018078E+04 38 4.562500000000000E-01 3.362323925437094E+04 39 4.687500000000000E-01 3.043767886799887E+04 40 4.812500000000000E-01 2.808318580848278E+04 41 4.937500000000000E-01 2.755075919504974E+04 42 5.000000000000000E-01 2.728454588833300E+04 2.728454588833300E+04 = mínimo 5.000000000000000E-01 = X (m) 1.994834176808373E+06 = máximo 6.250000000000000E-03 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.418868928778471E+03 2 6.250000000000000E-03 3.417781747650772E+03 3 1.875000000000000E-02 3.419979921425566E+03 4 3.125000000000000E-02 3.417761973056253E+03 5 4.375000000000000E-02 3.419971625674195E+03 6 5.625000000000000E-02 3.417764687355364E+03 7 6.875000000000001E-02 3.419973657552731E+03 8 8.125000000000000E-02 3.417763790073609E+03 9 9.375000000000000E-02 3.419969826534272E+03 10 1.062500000000000E-01 3.417747725239553E+03 11 1.187500000000000E-01 3.419891619089651E+03 12 1.312500000000000E-01 3.417521811461369E+03 13 1.437500000000000E-01 3.419441359095751E+03 14 1.562500000000000E-01 3.416783127872457E+03 15 1.687500000000000E-01 3.418270905138847E+03 16 1.812500000000000E-01 3.414948736559616E+03 17 1.937500000000000E-01 3.415320559028926E+03 18 2.062500000000000E-01 3.410157591859740E+03 19 2.187500000000000E-01 3.407332264263034E+03 20 2.312500000000000E-01 3.396741319291904E+03 21 2.437500000000000E-01 3.384580102603703E+03 22 2.562500000000000E-01 3.358652205667325E+03 23 2.687500000000000E-01 3.322184142527398E+03 24 2.812500000000000E-01 3.260944290886796E+03 25 2.937500000000000E-01 3.177632867993678E+03 26 3.062500000000000E-01 3.062229434192262E+03 27 3.187500000000000E-01 2.925011922443556E+03 28 3.312500000000000E-01 2.766557214103372E+03 29 3.437500000000000E-01 2.604353702047589E+03 30 3.562500000000000E-01 2.441862703855496E+03 31 3.687500000000000E-01 2.292601507388314E+03 32 3.812500000000000E-01 2.154918495483207E+03 33 3.937500000000000E-01 2.036107228397107E+03 34 4.062500000000000E-01 1.931131229772772E+03 35 4.187500000000000E-01 1.844529917444348E+03 36 4.312500000000000E-01 1.770241843552488E+03 37 4.437500000000000E-01 1.712686399958837E+03 38 4.562500000000000E-01 1.664808287327078E+03 39 4.687500000000000E-01 1.633365697383405E+03 40 4.812500000000000E-01 1.607707836725527E+03 41 4.937500000000000E-01 1.601700694321664E+03 42 5.000000000000000E-01 1.598697123119733E+03 1.598697123119733E+03 = mínimo 5.000000000000000E-01 = X (m) 3.419979921425566E+03 = máximo 1.875000000000000E-02 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.705955246872803E+01 2 6.250000000000000E-03 9.686144433880018E+01 3 1.875000000000000E-02 9.646522807894350E+01 4 3.125000000000000E-02 9.752229791189829E+01 5 4.375000000000000E-02 9.673943445089601E+01 6 5.625000000000000E-02 9.743184502099410E+01 7 6.875000000000001E-02 9.667221072036547E+01 8 8.125000000000000E-02 9.746176735846771E+01 9 9.375000000000000E-02 9.679891921696593E+01 10 1.062500000000000E-01 9.799679225545965E+01 11 1.187500000000000E-01 9.937145664621866E+01 12 1.312500000000000E-01 1.053258444479059E+02 13 1.437500000000000E-01 1.131514663751455E+02 14 1.562500000000000E-01 1.263712039885156E+02 15 1.687500000000000E-01 1.430061919743021E+02 16 1.812500000000000E-01 1.677209350668763E+02 17 1.937500000000000E-01 1.997028125500261E+02 18 2.062500000000000E-01 2.450483985580892E+02 19 2.187500000000000E-01 3.047491859545023E+02 20 2.312500000000000E-01 3.868931962219109E+02 21 2.437500000000000E-01 4.941359072081341E+02 22 2.562500000000000E-01 6.349973139940448E+02 23 2.687500000000000E-01 8.100358029072568E+02 24 2.812500000000000E-01 1.022122802346636E+03 25 2.937500000000000E-01 1.262583087465500E+03 26 3.062500000000000E-01 1.523639716709233E+03 27 3.187500000000000E-01 1.787616555508732E+03 28 3.312500000000000E-01 2.043161581470799E+03 29 3.437500000000000E-01 2.275439742895785E+03 30 3.562500000000000E-01 2.481376079741028E+03 31 3.687500000000000E-01 2.656020251054267E+03 32 3.812500000000000E-01 2.804027174791590E+03 33 3.937500000000000E-01 2.925238248492858E+03 34 4.062500000000000E-01 3.026057995750753E+03 35 4.187500000000000E-01 3.106516649308179E+03 36 4.312500000000000E-01 3.172584219162523E+03 37 4.437500000000000E-01 3.222804287925967E+03 38 4.562500000000000E-01 3.263310453253949E+03 39 4.687500000000000E-01 3.289689585248170E+03 40 4.812500000000000E-01 3.310821125441759E+03 41 4.937500000000000E-01 3.315753090352353E+03 42 5.000000000000000E-01 3.318219072807649E+03 9.646522807894350E+01 = mínimo 1.875000000000000E-02 = X (m) 3.318219072807649E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.108679865188700E+00 2 6.250000000000000E-03 1.109067051887451E+00 3 1.875000000000000E-02 1.108332586397886E+00 4 3.125000000000000E-02 1.109033931804400E+00 5 4.375000000000000E-02 1.108318880481421E+00 6 5.625000000000000E-02 1.109038462569292E+00 7 6.875000000000001E-02 1.108322241206275E+00 8 8.125000000000000E-02 1.109036963564465E+00 9 9.375000000000000E-02 1.108315907029529E+00 10 1.062500000000000E-01 1.109010167373218E+00 11 1.187500000000000E-01 1.108186945852147E+00 12 1.312500000000000E-01 1.108632106924786E+00 13 1.437500000000000E-01 1.107439948165696E+00 14 1.562500000000000E-01 1.107397714601836E+00 15 1.687500000000000E-01 1.105503205715739E+00 16 1.812500000000000E-01 1.104344309065114E+00 17 1.937500000000000E-01 1.100634097919541E+00 18 2.062500000000000E-01 1.096415538981052E+00 19 2.187500000000000E-01 1.087531234096798E+00 20 2.312500000000000E-01 1.074456402252134E+00 21 2.437500000000000E-01 1.050772508615403E+00 22 2.562500000000000E-01 1.013746000610709E+00 23 2.687500000000000E-01 9.542755246655652E-01 24 2.812500000000000E-01 8.693593748161363E-01 25 2.937500000000000E-01 7.567926933166824E-01 26 3.062500000000000E-01 6.272648223479342E-01 27 3.187500000000000E-01 4.949868887105167E-01 28 3.312500000000000E-01 3.766680460912978E-01 29 3.437500000000000E-01 2.801914477286419E-01 30 3.562500000000000E-01 2.073892214027306E-01 31 3.687500000000000E-01 1.544791546727587E-01 32 3.812500000000000E-01 1.170826528547216E-01 33 3.937500000000000E-01 9.069816927486909E-02 34 4.062500000000000E-01 7.216214502460544E-02 35 4.187500000000000E-01 5.902938866679238E-02 36 4.312500000000000E-01 4.968134004710478E-02 37 4.437500000000000E-01 4.311597737553845E-02 38 4.562500000000000E-01 3.837696722449015E-02 39 4.687500000000000E-01 3.540979638429933E-02 40 4.812500000000000E-01 3.319208806512761E-02 41 4.937500000000000E-01 3.268492828661679E-02 42 5.000000000000000E-01 3.242991914867779E-02 3.242991914867779E-02 = mínimo 5.000000000000000E-01 = X (m) 1.109067051887451E+00 = máximo 6.250000000000000E-03 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 2.953079642162794E+03 2 6.250000000000000E-03 2.947052115035824E+03 3 1.875000000000000E-02 2.934997060781853E+03 4 3.125000000000000E-02 2.967158876127632E+03 5 4.375000000000000E-02 2.943339910446497E+03 6 5.625000000000000E-02 2.964406807074048E+03 7 6.875000000000001E-02 2.941294598830581E+03 8 8.125000000000000E-02 2.965317207373572E+03 9 9.375000000000000E-02 2.945149760659401E+03 10 1.062500000000000E-01 2.981595575562692E+03 11 1.187500000000000E-01 3.023420345241746E+03 12 1.312500000000000E-01 3.204585217234849E+03 13 1.437500000000000E-01 3.442683211845322E+03 14 1.562500000000000E-01 3.844899552512615E+03 15 1.687500000000000E-01 4.351026390304046E+03 16 1.812500000000000E-01 5.102983336648710E+03 17 1.937500000000000E-01 6.076046048266547E+03 18 2.062500000000000E-01 7.455705478959863E+03 19 2.187500000000000E-01 9.272128235887778E+03 20 2.312500000000000E-01 1.177139593573064E+04 21 2.437500000000000E-01 1.503430266184399E+04 22 2.562500000000000E-01 1.932007301793449E+04 23 2.687500000000000E-01 2.464569615400950E+04 24 2.812500000000000E-01 3.109853654407432E+04 25 2.937500000000000E-01 3.841464665041307E+04 26 3.062500000000000E-01 4.635740960019789E+04 27 3.187500000000000E-01 5.438902121217657E+04 28 3.312500000000000E-01 6.216409120405277E+04 29 3.437500000000000E-01 6.923125659247897E+04 30 3.562500000000000E-01 7.549696036352414E+04 31 3.687500000000000E-01 8.081058621290856E+04 32 3.812500000000000E-01 8.531376207010876E+04 33 3.937500000000000E-01 8.900166238540474E+04 34 4.062500000000000E-01 9.206914761053199E+04 35 4.187500000000000E-01 9.451713759001203E+04 36 4.312500000000000E-01 9.652727250802428E+04 37 4.437500000000000E-01 9.805524022393895E+04 38 4.562500000000000E-01 9.928765814849804E+04 39 4.687500000000000E-01 1.000902548603998E+05 40 4.812500000000000E-01 1.007331912800102E+05 41 4.937500000000000E-01 1.008832484851269E+05 42 5.000000000000000E-01 1.009582770876853E+05 2.934997060781853E+03 = mínimo 1.875000000000000E-02 = X (m) 1.009582770876853E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 1.999999999927596E+06 2 6.250000000000000E-03 2.000042567902970E+06 3 1.875000000000000E-02 1.999957664728663E+06 4 3.125000000000000E-02 2.000042688731483E+06 5 4.375000000000000E-02 1.999957516080630E+06 6 5.625000000000000E-02 2.000042643634078E+06 7 6.875000000000001E-02 1.999957544832038E+06 8 8.125000000000000E-02 2.000042657549438E+06 9 9.375000000000000E-02 1.999957494808534E+06 10 1.062500000000000E-01 2.000043073637960E+06 11 1.187500000000000E-01 1.999959426154416E+06 12 1.312500000000000E-01 2.000057466653577E+06 13 1.437500000000000E-01 1.999974781794959E+06 14 1.562500000000000E-01 2.000108464726969E+06 15 1.687500000000000E-01 2.000039729655994E+06 16 1.812500000000000E-01 2.000276807976250E+06 17 1.937500000000000E-01 2.000290012588906E+06 18 2.062500000000000E-01 2.000829668899392E+06 19 2.187500000000000E-01 2.001168929405231E+06 20 2.312500000000000E-01 2.002521473949085E+06 21 2.437500000000000E-01 2.003640435953483E+06 22 2.562500000000000E-01 2.006221671639770E+06 23 2.687500000000000E-01 2.007100521659872E+06 24 2.812500000000000E-01 2.007886866581192E+06 25 2.937500000000000E-01 2.002349163853965E+06 26 3.062500000000000E-01 1.995952860722422E+06 27 3.187500000000000E-01 1.983984271484046E+06 28 3.312500000000000E-01 1.979301596392601E+06 29 3.437500000000000E-01 1.972541193445091E+06 30 3.562500000000000E-01 1.975137695721950E+06 31 3.687500000000000E-01 1.970095378264767E+06 32 3.812500000000000E-01 1.970735269622782E+06 33 3.937500000000000E-01 1.959324623564445E+06 34 4.062500000000000E-01 1.953135749081247E+06 35 4.187500000000000E-01 1.935560379739861E+06 36 4.312500000000000E-01 1.924954995247454E+06 37 4.437500000000000E-01 1.906717170037483E+06 38 4.562500000000000E-01 1.895990878228267E+06 39 4.687500000000000E-01 1.883455276338487E+06 40 4.812500000000000E-01 1.875451262351093E+06 41 4.937500000000000E-01 1.873259854204572E+06 42 5.000000000000000E-01 1.871943634461886E+06 1.871943634461886E+06 = mínimo 5.000000000000000E-01 = X (m) 2.007886866581192E+06 = máximo 2.812500000000000E-01 = X (m) *** temperatura de estagnação *** ponto x (m) T_estagnação (K) 1 0.000000000000000E+00 3.420330094612489E+03 2 6.250000000000000E-03 3.419237024979193E+03 3 1.875000000000000E-02 3.421423176670183E+03 4 3.125000000000000E-02 3.419237177171479E+03 5 4.375000000000000E-02 3.421423098138489E+03 6 5.625000000000000E-02 3.419237156029667E+03 7 6.875000000000001E-02 3.421423113346063E+03 8 8.125000000000000E-02 3.419237163366477E+03 9 9.375000000000000E-02 3.421423084674684E+03 10 1.062500000000000E-01 3.419237320418305E+03 11 1.187500000000000E-01 3.421423152814971E+03 12 1.312500000000000E-01 3.419242565474306E+03 13 1.437500000000000E-01 3.421427144397046E+03 14 1.562500000000000E-01 3.419260318212984E+03 15 1.687500000000000E-01 3.421442985215291E+03 16 1.812500000000000E-01 3.419312619303431E+03 17 1.937500000000000E-01 3.421507268308528E+03 18 2.062500000000000E-01 3.419474995098648E+03 19 2.187500000000000E-01 3.421744488789151E+03 20 2.312500000000000E-01 3.419981218285495E+03 21 2.437500000000000E-01 3.422510143597407E+03 22 2.562500000000000E-01 3.421363950102676E+03 23 2.687500000000000E-01 3.424407984125032E+03 24 2.812500000000000E-01 3.424185966232606E+03 25 2.937500000000000E-01 3.427768018080447E+03 26 3.062500000000000E-01 3.428780644105374E+03 27 3.187500000000000E-01 3.433699420973317E+03 28 3.312500000000000E-01 3.438067480152967E+03 29 3.437500000000000E-01 3.447345884909392E+03 30 3.562500000000000E-01 3.458171240485850E+03 31 3.687500000000000E-01 3.473644497865367E+03 32 3.812500000000000E-01 3.490670442440100E+03 33 3.937500000000000E-01 3.510296861964353E+03 34 4.062500000000000E-01 3.530119446253087E+03 35 4.187500000000000E-01 3.550045644772550E+03 36 4.312500000000000E-01 3.568733359695498E+03 37 4.437500000000000E-01 3.585307480822994E+03 38 4.562500000000000E-01 3.599823068128180E+03 39 4.687500000000000E-01 3.610213729695863E+03 40 4.812500000000000E-01 3.618894756036294E+03 41 4.937500000000000E-01 3.620997399675736E+03 42 5.000000000000000E-01 3.622061517113003E+03 3.419237024979193E+03 = mínimo 6.250000000000000E-03 = X (m) 3.622061517113003E+03 = máximo 5.000000000000000E-01 = X (m)