MACH1D 5.0, PROPRIEDADES VARIÁVEIS, N = 40 Dia = (29/5/2006) Hora = 12:54:48 *** 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 *** 1.072538740564093E+00 = coeficiente de descarga 1.008113520759747E+00 = empuxo 9.399320347436013E-01 = velocidade de ejeção dos gases 9.323672536751990E-01 = velocidade característica (m/s) 1.008113520759747E+00 = coeficiente de empuxo 9.399320347436011E-01 = impulso específico 1.539439073561976E+08 = taxa de transferência de calor advectivo na saída da tubeira (W) -6.063180681392637E-02 = razão q_wall / q_advectivo na saída da tubeira *** número de Mach *** ponto x (m) M (adimensional) 1 0.000000000000000E+00 6.702633839503908E-02 2 6.250000000000000E-03 6.689700485119172E-02 3 1.875000000000000E-02 6.660518066675526E-02 4 3.125000000000000E-02 6.729963941838571E-02 5 4.375000000000000E-02 6.675424014515395E-02 6 5.625000000000000E-02 6.721007728362317E-02 7 6.875000000000001E-02 6.667973179286742E-02 8 8.125000000000000E-02 6.720015212539324E-02 9 9.375000000000000E-02 6.673585235312232E-02 10 1.062500000000000E-01 6.753823610276755E-02 11 1.187500000000000E-01 6.847686719286737E-02 12 1.312500000000000E-01 7.255648673302711E-02 13 1.437500000000000E-01 7.793191922539668E-02 14 1.562500000000000E-01 8.700987077743602E-02 15 1.687500000000000E-01 9.843439226314750E-02 16 1.812500000000000E-01 1.154203123567072E-01 17 1.937500000000000E-01 1.373904352992664E-01 18 2.062500000000000E-01 1.685961622595576E-01 19 2.187500000000000E-01 2.096844078986570E-01 20 2.312500000000000E-01 2.664317298772207E-01 21 2.437500000000000E-01 3.407328721233656E-01 22 2.562500000000000E-01 4.392014555388799E-01 23 2.687500000000000E-01 5.629133008037143E-01 24 2.812500000000000E-01 7.160775126441941E-01 25 2.937500000000000E-01 8.947922994185321E-01 26 3.062500000000000E-01 1.097695014010503E+00 27 3.187500000000000E-01 1.314543251090676E+00 28 3.312500000000000E-01 1.540160381021647E+00 29 3.437500000000000E-01 1.762086960237031E+00 30 3.562500000000000E-01 1.977246985511623E+00 31 3.687500000000000E-01 2.176468942138743E+00 32 3.812500000000000E-01 2.361387423141412E+00 33 3.937500000000000E-01 2.525906260395822E+00 34 4.062500000000000E-01 2.674358882027981E+00 35 4.187500000000000E-01 2.801439231127709E+00 36 4.312500000000000E-01 2.912885688207736E+00 37 4.437500000000000E-01 3.002371694842442E+00 38 4.562500000000000E-01 3.077978378463817E+00 39 4.687500000000000E-01 3.129361424601792E+00 40 4.812500000000000E-01 3.171563696942637E+00 41 4.937500000000000E-01 3.182504196985240E+00 42 5.000000000000000E-01 3.187798270724690E+00 6.660518066675526E-02 = mínimo 1.875000000000000E-02 = X (m) 3.187798270724690E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994765281174625E+06 2 6.250000000000000E-03 1.994826411303856E+06 3 1.875000000000000E-02 1.994793830656004E+06 4 3.125000000000000E-02 1.994767613876360E+06 5 4.375000000000000E-02 1.994774519897078E+06 6 5.625000000000000E-02 1.994785548544551E+06 7 6.875000000000001E-02 1.994790059433957E+06 8 8.125000000000000E-02 1.994791065540880E+06 9 9.375000000000000E-02 1.994785240108863E+06 10 1.062500000000000E-01 1.994742401286052E+06 11 1.187500000000000E-01 1.994517322072672E+06 12 1.312500000000000E-01 1.993943272255558E+06 13 1.437500000000000E-01 1.992928925365691E+06 14 1.562500000000000E-01 1.991320757400641E+06 15 1.687500000000000E-01 1.988806583542337E+06 16 1.812500000000000E-01 1.984834663803288E+06 17 1.937500000000000E-01 1.978454861466964E+06 18 2.062500000000000E-01 1.968017605871947E+06 19 2.187500000000000E-01 1.950671050546391E+06 20 2.312500000000000E-01 1.921609372736338E+06 21 2.437500000000000E-01 1.873180791417130E+06 22 2.562500000000000E-01 1.794429098940050E+06 23 2.687500000000000E-01 1.672547016491475E+06 24 2.812500000000000E-01 1.498118863800689E+06 25 2.937500000000000E-01 1.274013873560898E+06 26 3.062500000000000E-01 1.021213194002942E+06 27 3.187500000000000E-01 7.732716545786305E+05 28 3.312500000000000E-01 5.596334297972273E+05 29 3.437500000000000E-01 3.942856208870189E+05 30 3.562500000000000E-01 2.754025158603926E+05 31 3.687500000000000E-01 1.938310615641695E+05 32 3.812500000000000E-01 1.389423023143056E+05 33 3.937500000000000E-01 1.022731971124722E+05 34 4.062500000000000E-01 7.758166276559846E+04 35 4.187500000000000E-01 6.088483582035678E+04 36 4.312500000000000E-01 4.937899011050213E+04 37 4.437500000000000E-01 4.158118007546322E+04 38 4.562500000000000E-01 3.607805488135368E+04 39 4.687500000000000E-01 3.270127327449786E+04 40 4.812500000000000E-01 3.021567711371723E+04 41 4.937500000000000E-01 2.963271368175626E+04 42 5.000000000000000E-01 2.934123196577587E+04 2.934123196577587E+04 = mínimo 5.000000000000000E-01 = X (m) 1.994826411303856E+06 = máximo 6.250000000000000E-03 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.418863810214787E+03 2 6.250000000000000E-03 3.417228450057816E+03 3 1.875000000000000E-02 3.417514447866750E+03 4 3.125000000000000E-02 3.414206972073187E+03 5 4.375000000000000E-02 3.414507469062007E+03 6 5.625000000000000E-02 3.411208635925016E+03 7 6.875000000000001E-02 3.411513441768662E+03 8 8.125000000000000E-02 3.408211587220690E+03 9 9.375000000000000E-02 3.408518872968978E+03 10 1.062500000000000E-01 3.405206154623485E+03 11 1.187500000000000E-01 3.405427970850735E+03 12 1.312500000000000E-01 3.401714696585613E+03 13 1.437500000000000E-01 3.401286801359207E+03 14 1.562500000000000E-01 3.396770619313258E+03 15 1.687500000000000E-01 3.395407610227400E+03 16 1.812500000000000E-01 3.389780180900362E+03 17 1.937500000000000E-01 3.386991147796135E+03 18 2.062500000000000E-01 3.379392494805461E+03 19 2.187500000000000E-01 3.373586537163471E+03 20 2.312500000000000E-01 3.361176912814111E+03 21 2.437500000000000E-01 3.347377011022917E+03 22 2.562500000000000E-01 3.321997123321791E+03 23 2.687500000000000E-01 3.287730777162570E+03 24 2.812500000000000E-01 3.232553469838277E+03 25 2.937500000000000E-01 3.158546153558421E+03 26 3.062500000000000E-01 3.056946568483138E+03 27 3.187500000000000E-01 2.936043989387470E+03 28 3.312500000000000E-01 2.796070504075587E+03 29 3.437500000000000E-01 2.651796992294282E+03 30 3.562500000000000E-01 2.506329282110832E+03 31 3.687500000000000E-01 2.371479599611133E+03 32 3.812500000000000E-01 2.246171626417796E+03 33 3.937500000000000E-01 2.136997488325603E+03 34 4.062500000000000E-01 2.039898578123290E+03 35 4.187500000000000E-01 1.959024863663853E+03 36 4.312500000000000E-01 1.889315035386094E+03 37 4.437500000000000E-01 1.834717435387331E+03 38 4.562500000000000E-01 1.789200619002857E+03 39 4.687500000000000E-01 1.758723295955616E+03 40 4.812500000000000E-01 1.733849985976301E+03 41 4.937500000000000E-01 1.727051321007568E+03 42 5.000000000000000E-01 1.723651988523201E+03 1.723651988523201E+03 = mínimo 5.000000000000000E-01 = X (m) 3.418863810214787E+03 = máximo 0.000000000000000E+00 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.095287724642033E+01 2 6.250000000000000E-03 9.075676601753658E+01 3 1.875000000000000E-02 9.036454355976902E+01 4 3.125000000000000E-02 9.126366076195414E+01 5 4.375000000000000E-02 9.052793802485938E+01 6 5.625000000000000E-02 9.110319940641594E+01 7 6.875000000000001E-02 9.038825149502351E+01 8 8.125000000000000E-02 9.105074428145120E+01 9 9.375000000000000E-02 9.042562774546543E+01 10 1.062500000000000E-01 9.146949686991776E+01 11 1.187500000000000E-01 9.274366238680420E+01 12 1.312500000000000E-01 9.821679741396476E+01 13 1.437500000000000E-01 1.054868392282629E+02 14 1.562500000000000E-01 1.176983363693304E+02 15 1.687500000000000E-01 1.331262672475400E+02 16 1.812500000000000E-01 1.559725685232303E+02 17 1.937500000000000E-01 1.855873433105306E+02 18 2.062500000000000E-01 2.274911195527551E+02 19 2.187500000000000E-01 2.826957015539867E+02 20 2.312500000000000E-01 3.585581835051651E+02 21 2.437500000000000E-01 4.576334952862149E+02 22 2.562500000000000E-01 5.877040016211014E+02 23 2.687500000000000E-01 7.494547903832471E+02 24 2.812500000000000E-01 9.455615442389512E+02 25 2.937500000000000E-01 1.168330634482212E+03 26 3.062500000000000E-01 1.410707260991051E+03 27 3.187500000000000E-01 1.656701525592168E+03 28 3.312500000000000E-01 1.895779171150180E+03 29 3.437500000000000E-01 2.114300373218307E+03 30 3.562500000000000E-01 2.309058826479856E+03 31 3.687500000000000E-01 2.475318221615282E+03 32 3.812500000000000E-01 2.616968729789247E+03 33 3.937500000000000E-01 2.733741612874576E+03 34 4.062500000000000E-01 2.831279909074672E+03 35 4.187500000000000E-01 2.909606710186412E+03 36 4.312500000000000E-01 2.974063660205096E+03 37 4.437500000000000E-01 3.023378104509468E+03 38 4.562500000000000E-01 3.063109307270865E+03 39 4.687500000000000E-01 3.089212068628105E+03 40 4.812500000000000E-01 3.110013374374010E+03 41 4.937500000000000E-01 3.114995580859214E+03 42 5.000000000000000E-01 3.117486684101817E+03 9.036454355976902E+01 = mínimo 1.875000000000000E-02 = X (m) 3.117486684101817E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.264195837740929E+00 2 6.250000000000000E-03 1.264839595653668E+00 3 1.875000000000000E-02 1.264713090044049E+00 4 3.125000000000000E-02 1.265921629344527E+00 5 4.375000000000000E-02 1.265814603024070E+00 6 5.625000000000000E-02 1.267045723041369E+00 7 6.875000000000001E-02 1.266935382256414E+00 8 8.125000000000000E-02 1.268163421128597E+00 9 9.375000000000000E-02 1.268045390193071E+00 10 1.062500000000000E-01 1.269251736291360E+00 11 1.187500000000000E-01 1.269025853956434E+00 12 1.312500000000000E-01 1.270045466609047E+00 13 1.437500000000000E-01 1.269559072101887E+00 14 1.562500000000000E-01 1.270221200309875E+00 15 1.687500000000000E-01 1.269126719824968E+00 16 1.812500000000000E-01 1.268694789748137E+00 17 1.937500000000000E-01 1.265658211589418E+00 18 2.062500000000000E-01 1.261812137370946E+00 19 2.187500000000000E-01 1.252842681397161E+00 20 2.312500000000000E-01 1.238734099924393E+00 21 2.437500000000000E-01 1.212493510807764E+00 22 2.562500000000000E-01 1.170392170130222E+00 23 2.687500000000000E-01 1.102266082904770E+00 24 2.812500000000000E-01 1.004164610828245E+00 25 2.937500000000000E-01 8.739594577002836E-01 26 3.062500000000000E-01 7.238239113628160E-01 27 3.187500000000000E-01 5.706553446265890E-01 28 3.312500000000000E-01 4.336705068929315E-01 29 3.437500000000000E-01 3.221625261181849E-01 30 3.562500000000000E-01 2.380861496822279E-01 31 3.687500000000000E-01 1.770958310519336E-01 32 3.812500000000000E-01 1.340281152784809E-01 33 3.937500000000000E-01 1.036960413267435E-01 34 4.062500000000000E-01 8.240524683723691E-02 35 4.187500000000000E-01 6.734006755435099E-02 36 4.312500000000000E-01 5.662942857021982E-02 37 4.437500000000000E-01 4.910570820673522E-02 38 4.562500000000000E-01 4.369064252637740E-02 39 4.687500000000000E-01 4.028760989156915E-02 40 4.812500000000000E-01 3.775940725625108E-02 41 4.937500000000000E-01 3.717667441815360E-02 42 5.000000000000000E-01 3.688358412791800E-02 3.688358412791800E-02 = mínimo 5.000000000000000E-01 = X (m) 1.270221200309875E+00 = máximo 1.562500000000000E-01 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 2.956921047171300E+03 2 6.250000000000000E-03 2.950545378387322E+03 3 1.875000000000000E-02 2.937794040819364E+03 4 3.125000000000000E-02 2.967024766218099E+03 5 4.375000000000000E-02 2.943106072142002E+03 6 5.625000000000000E-02 2.961808091673950E+03 7 6.875000000000001E-02 2.938564797004999E+03 8 8.125000000000000E-02 2.960102750757466E+03 9 9.375000000000000E-02 2.939779916580564E+03 10 1.062500000000000E-01 2.973716595419461E+03 11 1.187500000000000E-01 3.015140318874121E+03 12 1.312500000000000E-01 3.193074526628483E+03 13 1.437500000000000E-01 3.429427023716306E+03 14 1.562500000000000E-01 3.826428570089220E+03 15 1.687500000000000E-01 4.327997898176391E+03 16 1.812500000000000E-01 5.070741955729158E+03 17 1.937500000000000E-01 6.033532287678254E+03 18 2.062500000000000E-01 7.395843867892356E+03 19 2.187500000000000E-01 9.190570932738017E+03 20 2.312500000000000E-01 1.165689609323118E+04 21 2.437500000000000E-01 1.487788132788987E+04 22 2.562500000000000E-01 1.910653499385173E+04 23 2.687500000000000E-01 2.436512962183170E+04 24 2.812500000000000E-01 3.074065292053191E+04 25 2.937500000000000E-01 3.798298138271835E+04 26 3.062500000000000E-01 4.586276012049954E+04 27 3.187500000000000E-01 5.386014998329354E+04 28 3.312500000000000E-01 6.163267729041034E+04 29 3.437500000000000E-01 6.873690489937086E+04 30 3.562500000000000E-01 7.506859430819897E+04 31 3.687500000000000E-01 8.047376586130958E+04 32 3.812500000000000E-01 8.507889086276841E+04 33 3.937500000000000E-01 8.887523250898581E+04 34 4.062500000000000E-01 9.204624864031599E+04 35 4.187500000000000E-01 9.459268998199460E+04 36 4.312500000000000E-01 9.668821590615348E+04 37 4.437500000000000E-01 9.829145180926939E+04 38 4.562500000000000E-01 9.958313199830077E+04 39 4.687500000000000E-01 1.004317451129513E+05 40 4.812500000000000E-01 1.011080053988361E+05 41 4.937500000000000E-01 1.012699792875515E+05 42 5.000000000000000E-01 1.013509662319092E+05 2.937794040819364E+03 = mínimo 1.875000000000000E-02 = X (m) 1.013509662319092E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 2.000000140862425E+06 2 6.250000000000000E-03 2.000041352321865E+06 3 1.875000000000000E-02 1.999963226933656E+06 4 3.125000000000000E-02 2.000045553062181E+06 5 4.375000000000000E-02 1.999967171807762E+06 6 5.625000000000000E-02 2.000049598819058E+06 7 6.875000000000001E-02 1.999971269591126E+06 8 8.125000000000000E-02 2.000053692194020E+06 9 9.375000000000000E-02 1.999975289010674E+06 10 1.062500000000000E-01 2.000058164547902E+06 11 1.187500000000000E-01 1.999981415314421E+06 12 1.312500000000000E-01 2.000077112094393E+06 13 1.437500000000000E-01 2.000003151544313E+06 14 1.562500000000000E-01 2.000135549542136E+06 15 1.687500000000000E-01 2.000079976562182E+06 16 1.812500000000000E-01 2.000318204334095E+06 17 1.937500000000000E-01 2.000354307892795E+06 18 2.062500000000000E-01 2.000901328211091E+06 19 2.187500000000000E-01 2.001286318353951E+06 20 2.312500000000000E-01 2.002664781401929E+06 21 2.437500000000000E-01 2.003891150644869E+06 22 2.562500000000000E-01 2.006565809556562E+06 23 2.687500000000000E-01 2.007737638198555E+06 24 2.812500000000000E-01 2.008836011562563E+06 25 2.937500000000000E-01 2.004024063000461E+06 26 3.062500000000000E-01 1.998350422508578E+06 27 3.187500000000000E-01 1.987801223373363E+06 28 3.312500000000000E-01 1.984653231994213E+06 29 3.437500000000000E-01 1.980833468299113E+06 30 3.562500000000000E-01 1.987069707247112E+06 31 3.687500000000000E-01 1.987775581691696E+06 32 3.812500000000000E-01 1.995030362235557E+06 33 3.937500000000000E-01 1.992004622896926E+06 34 4.062500000000000E-01 1.994419045005732E+06 35 4.187500000000000E-01 1.986080128582509E+06 36 4.312500000000000E-01 1.984149328370751E+06 37 4.437500000000000E-01 1.974000723118463E+06 38 4.562500000000000E-01 1.970465661651855E+06 39 4.687500000000000E-01 1.963643005783140E+06 40 4.812500000000000E-01 1.960658365428283E+06 41 4.937500000000000E-01 1.961690530813058E+06 42 5.000000000000000E-01 1.960562195464498E+06 1.960562195464498E+06 = mínimo 5.000000000000000E-01 = X (m) 2.008836011562563E+06 = máximo 2.812500000000000E-01 = X (m) *** temperatura de estagnação *** ponto x (m) T_estagnação (K) 1 0.000000000000000E+00 3.420146183614901E+03 2 6.250000000000000E-03 3.418505485443111E+03 3 1.875000000000000E-02 3.418780453055148E+03 4 3.125000000000000E-02 3.415498486545986E+03 5 4.375000000000000E-02 3.415778227289426E+03 6 5.625000000000000E-02 3.412495785571058E+03 7 6.875000000000001E-02 3.412780451131413E+03 8 8.125000000000000E-02 3.409497427900445E+03 9 9.375000000000000E-02 3.409787100668389E+03 10 1.062500000000000E-01 3.406504025264436E+03 11 1.187500000000000E-01 3.406762238565212E+03 12 1.312500000000000E-01 3.403211341174021E+03 13 1.437500000000000E-01 3.403013243725840E+03 14 1.562500000000000E-01 3.398920353788910E+03 15 1.687500000000000E-01 3.398158026910286E+03 16 1.812500000000000E-01 3.393556584526244E+03 17 1.937500000000000E-01 3.392338438999384E+03 18 2.062500000000000E-01 3.387429919065977E+03 19 2.187500000000000E-01 3.386001409208109E+03 20 2.312500000000000E-01 3.381160449977264E+03 21 2.437500000000000E-01 3.379950819118666E+03 22 2.562500000000000E-01 3.375783509473642E+03 23 2.687500000000000E-01 3.375343402502062E+03 24 2.812500000000000E-01 3.372401275465178E+03 25 2.937500000000000E-01 3.372883921689648E+03 26 3.062500000000000E-01 3.371233674274547E+03 27 3.187500000000000E-01 3.372732318837725E+03 28 3.312500000000000E-01 3.373386224353310E+03 29 3.437500000000000E-01 3.377872745114792E+03 30 3.562500000000000E-01 3.383303420640602E+03 31 3.687500000000000E-01 3.392597569607575E+03 32 3.812500000000000E-01 3.403121167679213E+03 33 3.937500000000000E-01 3.416109457036631E+03 34 4.062500000000000E-01 3.429425063919310E+03 35 4.187500000000000E-01 3.443305065413920E+03 36 4.312500000000000E-01 3.456400526498580E+03 37 4.437500000000000E-01 3.468258832125313E+03 38 4.562500000000000E-01 3.478613212121832E+03 39 4.687500000000000E-01 3.486012240133052E+03 40 4.812500000000000E-01 3.492104873606545E+03 41 4.937500000000000E-01 3.493069783913349E+03 42 5.000000000000000E-01 3.494640328259266E+03 3.371233674274547E+03 = mínimo 3.062500000000000E-01 = X (m) 3.494640328259266E+03 = máximo 5.000000000000000E-01 = X (m)