MACH1D 5.0, CONGELADO, monogás, isentropico, numerico,N = 40 Dia = (8/12/2005) Hora = 16:43:15 *** 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 *** 1.002704282259317E+00 = coeficiente de descarga 1.005144319445276E+00 = empuxo 1.002433456432899E+00 = velocidade de ejeção dos gases 9.973030111597574E-01 = velocidade característica (m/s) 1.005144319445276E+00 = coeficiente de empuxo 1.002433456432899E+00 = impulso específico 1.668641436073463E+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 6.615119665213001E-02 2 6.250000000000000E-03 6.603481966518214E-02 3 1.875000000000000E-02 6.577229511182291E-02 4 3.125000000000000E-02 6.644793651230872E-02 5 4.375000000000000E-02 6.594367887217879E-02 6 5.625000000000000E-02 6.639144770552627E-02 7 6.875000000000001E-02 6.590193557145799E-02 8 8.125000000000000E-02 6.641145515667386E-02 9 9.375000000000000E-02 6.598740722081524E-02 10 1.062500000000000E-01 6.677622901477057E-02 11 1.187500000000000E-01 6.774146975732256E-02 12 1.312500000000000E-01 7.177433595808695E-02 13 1.437500000000000E-01 7.713730124410834E-02 14 1.562500000000000E-01 8.612918896650139E-02 15 1.687500000000000E-01 9.750060107628127E-02 16 1.812500000000000E-01 1.143487681014204E-01 17 1.937500000000000E-01 1.362054985049023E-01 18 2.062500000000000E-01 1.671948735304082E-01 19 2.187500000000000E-01 2.080805528378968E-01 20 2.312500000000000E-01 2.645013092808818E-01 21 2.437500000000000E-01 3.384968736725084E-01 22 2.562500000000000E-01 4.365556008162838E-01 23 2.687500000000000E-01 5.600010432243069E-01 24 2.812500000000000E-01 7.130106799327623E-01 25 2.937500000000000E-01 8.921493658889507E-01 26 3.062500000000000E-01 1.096097582175716E+00 27 3.187500000000000E-01 1.315114395642037E+00 28 3.312500000000000E-01 1.543700016809892E+00 29 3.437500000000000E-01 1.769498142218434E+00 30 3.562500000000000E-01 1.988625437123017E+00 31 3.687500000000000E-01 2.191848009429693E+00 32 3.812500000000000E-01 2.380063596100864E+00 33 3.937500000000000E-01 2.547317701452316E+00 34 4.062500000000000E-01 2.697524694525190E+00 35 4.187500000000000E-01 2.825701737822610E+00 36 4.312500000000000E-01 2.937445182981416E+00 37 4.437500000000000E-01 3.026762813180920E+00 38 4.562500000000000E-01 3.101796707874679E+00 39 4.687500000000000E-01 3.152347901146948E+00 40 4.812500000000000E-01 3.193672979311382E+00 41 4.937500000000000E-01 3.203485729741839E+00 42 5.000000000000000E-01 3.208406262397982E+00 6.577229511182291E-02 = mínimo 1.875000000000000E-02 = X (m) 3.208406262397982E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994776030936086E+06 2 6.250000000000000E-03 1.994832907190898E+06 3 1.875000000000000E-02 1.994797265176796E+06 4 3.125000000000000E-02 1.994767765894806E+06 5 4.375000000000000E-02 1.994770234840693E+06 6 5.625000000000000E-02 1.994776673160584E+06 7 6.875000000000001E-02 1.994776818515286E+06 8 8.125000000000000E-02 1.994773518344873E+06 9 9.375000000000000E-02 1.994763338093654E+06 10 1.062500000000000E-01 1.994716000233545E+06 11 1.187500000000000E-01 1.994485804529032E+06 12 1.312500000000000E-01 1.993904808593490E+06 13 1.437500000000000E-01 1.992880192196064E+06 14 1.562500000000000E-01 1.991256255079795E+06 15 1.687500000000000E-01 1.988717190463955E+06 16 1.812500000000000E-01 1.984704761041626E+06 17 1.937500000000000E-01 1.978257284753169E+06 18 2.062500000000000E-01 1.967704334180346E+06 19 2.187500000000000E-01 1.950157439532762E+06 20 2.312500000000000E-01 1.920748713397264E+06 21 2.437500000000000E-01 1.871731385615739E+06 22 2.562500000000000E-01 1.792028602779719E+06 23 2.687500000000000E-01 1.668739077751069E+06 24 2.812500000000000E-01 1.492501579177233E+06 25 2.937500000000000E-01 1.266510531283961E+06 26 3.062500000000000E-01 1.012326510272407E+06 27 3.187500000000000E-01 7.639663070449337E+05 28 3.312500000000000E-01 5.509729132297898E+05 29 3.437500000000000E-01 3.869363520290723E+05 30 3.562500000000000E-01 2.696049421924014E+05 31 3.687500000000000E-01 1.894514258959663E+05 32 3.812500000000000E-01 1.357298375036025E+05 33 3.937500000000000E-01 9.993867955355321E+04 34 4.062500000000000E-01 7.589134618465666E+04 35 4.187500000000000E-01 5.965065508866588E+04 36 4.312500000000000E-01 4.846738335680711E+04 37 4.437500000000000E-01 4.089405664704803E+04 38 4.562500000000000E-01 3.554731511203208E+04 39 4.687500000000000E-01 3.227473872472363E+04 40 4.812500000000000E-01 2.986306886116153E+04 41 4.937500000000000E-01 2.931429181999627E+04 42 5.000000000000000E-01 2.903990329941417E+04 2.903990329941417E+04 = mínimo 5.000000000000000E-01 = X (m) 1.994832907190898E+06 = máximo 6.250000000000000E-03 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.418866824405955E+03 2 6.250000000000000E-03 3.418100860991252E+03 3 1.875000000000000E-02 3.419654648667999E+03 4 3.125000000000000E-02 3.418082698196220E+03 5 4.375000000000000E-02 3.419647036359273E+03 6 5.625000000000000E-02 3.418085188202195E+03 7 6.875000000000001E-02 3.419648888884378E+03 8 8.125000000000000E-02 3.418084306838640E+03 9 9.375000000000000E-02 3.419645094598732E+03 10 1.062500000000000E-01 3.418068217123146E+03 11 1.187500000000000E-01 3.419566801289871E+03 12 1.312500000000000E-01 3.417841909904742E+03 13 1.437500000000000E-01 3.419116088644435E+03 14 1.562500000000000E-01 3.417101993279747E+03 15 1.687500000000000E-01 3.417944441610558E+03 16 1.812500000000000E-01 3.415264758168246E+03 17 1.937500000000000E-01 3.414991192788457E+03 18 2.062500000000000E-01 3.410467236110154E+03 19 2.187500000000000E-01 3.406996593888599E+03 20 2.312500000000000E-01 3.397039518686451E+03 21 2.437500000000000E-01 3.384241548288631E+03 22 2.562500000000000E-01 3.358965152134966E+03 23 2.687500000000000E-01 3.321960878233569E+03 24 2.812500000000000E-01 3.261619505216070E+03 25 2.937500000000000E-01 3.178427293599449E+03 26 3.062500000000000E-01 3.065208675228648E+03 27 3.187500000000000E-01 2.930413611301613E+03 28 3.312500000000000E-01 2.777382780812643E+03 29 3.437500000000000E-01 2.621561150266118E+03 30 3.562500000000000E-01 2.468256344156488E+03 31 3.687500000000000E-01 2.328483286666562E+03 32 3.812500000000000E-01 2.201763199187101E+03 33 3.937500000000000E-01 2.093110628594338E+03 34 4.062500000000000E-01 1.998563671499470E+03 35 4.187500000000000E-01 1.920857104527443E+03 36 4.312500000000000E-01 1.855070032129691E+03 37 4.437500000000000E-01 1.804112020990114E+03 38 4.562500000000000E-01 1.762219194794092E+03 39 4.687500000000000E-01 1.734598567707088E+03 40 4.812500000000000E-01 1.712293927799043E+03 41 4.937500000000000E-01 1.707045392246600E+03 42 5.000000000000000E-01 1.704421124470379E+03 1.704421124470379E+03 = mínimo 5.000000000000000E-01 = X (m) 3.419654648667999E+03 = máximo 1.875000000000000E-02 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.708780800616697E+01 2 6.250000000000000E-03 9.690614829648061E+01 3 1.875000000000000E-02 9.654282887710671E+01 4 3.125000000000000E-02 9.751213850855910E+01 5 4.375000000000000E-02 9.679428409968040E+01 6 5.625000000000000E-02 9.742927684934186E+01 7 6.875000000000001E-02 9.673303812205609E+01 8 8.125000000000000E-02 9.745862516686694E+01 9 9.375000000000000E-02 9.685844249767577E+01 10 1.062500000000000E-01 9.799369914562526E+01 11 1.187500000000000E-01 9.943197373154139E+01 12 1.312500000000000E-01 1.053249029714158E+02 13 1.437500000000000E-01 1.132158581603614E+02 14 1.562500000000000E-01 1.263761811627460E+02 15 1.687500000000000E-01 1.430789326444003E+02 16 1.812500000000000E-01 1.677372728218489E+02 17 1.937500000000000E-01 1.997907297360188E+02 18 2.062500000000000E-01 2.450844724942329E+02 19 2.187500000000000E-01 3.048619630945322E+02 20 2.312500000000000E-01 3.869581738387183E+02 21 2.437500000000000E-01 4.942779508621869E+02 22 2.562500000000000E-01 6.350796732038792E+02 23 2.687500000000000E-01 8.101622292108729E+02 24 2.812500000000000E-01 1.022112223267429E+03 25 2.937500000000000E-01 1.262494837639189E+03 26 3.062500000000000E-01 1.523228798189695E+03 27 3.187500000000000E-01 1.786956136664990E+03 28 3.312500000000000E-01 2.042051437186896E+03 29 3.437500000000000E-01 2.274133764863889E+03 30 3.562500000000000E-01 2.479899153765562E+03 31 3.687500000000000E-01 2.654806650701863E+03 32 3.812500000000000E-01 2.803236666308988E+03 33 3.937500000000000E-01 2.925264253632414E+03 34 4.062500000000000E-01 3.026985375096479E+03 35 4.187500000000000E-01 3.108563525945911E+03 36 4.312500000000000E-01 3.175673351675220E+03 37 4.437500000000000E-01 3.226978254378383E+03 38 4.562500000000000E-01 3.268354783286610E+03 39 4.687500000000000E-01 3.295486464034752E+03 40 4.812500000000000E-01 3.317152984308233E+03 41 4.937500000000000E-01 3.322241719639351E+03 42 5.000000000000000E-01 3.324786087304909E+03 9.654282887710671E+01 = mínimo 1.875000000000000E-02 = X (m) 3.324786087304909E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.107199969821871E+00 2 6.250000000000000E-03 1.107479658875755E+00 3 1.875000000000000E-02 1.106956675070226E+00 4 3.125000000000000E-02 1.107449378776513E+00 5 4.375000000000000E-02 1.106944139453570E+00 6 5.625000000000000E-02 1.107453517128384E+00 7 6.875000000000001E-02 1.106947193220461E+00 8 8.125000000000000E-02 1.107452051208075E+00 9 9.375000000000000E-02 1.106940940837692E+00 10 1.062500000000000E-01 1.107425331392843E+00 11 1.187500000000000E-01 1.106812271596214E+00 12 1.312500000000000E-01 1.107048271133529E+00 13 1.437500000000000E-01 1.106067043352255E+00 14 1.562500000000000E-01 1.105817145770458E+00 15 1.687500000000000E-01 1.104134898556537E+00 16 1.812500000000000E-01 1.102771777441191E+00 17 1.937500000000000E-01 1.099277385803499E+00 18 2.062500000000000E-01 1.094863729312238E+00 19 2.187500000000000E-01 1.086205713468305E+00 20 2.312500000000000E-01 1.072961304896573E+00 21 2.437500000000000E-01 1.049533433650152E+00 22 2.562500000000000E-01 1.012403288347527E+00 23 2.687500000000000E-01 9.532526707503887E-01 24 2.812500000000000E-01 8.683516059631918E-01 25 2.937500000000000E-01 7.561546585323786E-01 26 3.062500000000000E-01 6.267216133153963E-01 27 3.187500000000000E-01 4.947199120550438E-01 28 3.312500000000000E-01 3.764511413604341E-01 29 3.437500000000000E-01 2.800874492954870E-01 30 3.562500000000000E-01 2.072772772782173E-01 31 3.687500000000000E-01 1.543970013829602E-01 32 3.812500000000000E-01 1.169819425393367E-01 33 3.937500000000000E-01 9.060570253503078E-02 34 4.062500000000000E-01 7.205902404902911E-02 35 4.187500000000000E-01 5.892970504791913E-02 36 4.312500000000000E-01 4.957964037452077E-02 37 4.437500000000000E-01 4.301409620478820E-02 38 4.562500000000000E-01 3.827903534415122E-02 39 4.687500000000000E-01 3.530838552193986E-02 40 4.812500000000000E-01 3.309559758604357E-02 41 4.937500000000000E-01 3.258730499825223E-02 42 5.000000000000000E-01 3.233198479037555E-02 3.233198479037555E-02 = mínimo 5.000000000000000E-01 = X (m) 1.107479658875755E+00 = máximo 6.250000000000000E-03 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 2.950854961507500E+03 2 6.250000000000000E-03 2.945333655932242E+03 3 1.875000000000000E-02 2.934291044781691E+03 4 3.125000000000000E-02 2.963751923484675E+03 5 4.375000000000000E-02 2.941933692260985E+03 6 5.625000000000000E-02 2.961233453418852E+03 7 6.875000000000001E-02 2.940072202124823E+03 8 8.125000000000000E-02 2.962125456546322E+03 9 9.375000000000000E-02 2.943883701545725E+03 10 1.062500000000000E-01 2.978388319385828E+03 11 1.187500000000000E-01 3.022102764948253E+03 12 1.312500000000000E-01 3.201210521549282E+03 13 1.437500000000000E-01 3.441045622871732E+03 14 1.562500000000000E-01 3.841036159522441E+03 15 1.687500000000000E-01 4.348694104352503E+03 16 1.812500000000000E-01 5.098151600092258E+03 17 1.937500000000000E-01 6.072373846026960E+03 18 2.062500000000000E-01 7.449016992969064E+03 19 2.187500000000000E-01 9.265874416644307E+03 20 2.312500000000000E-01 1.176107969288310E+04 21 2.437500000000000E-01 1.502292176143063E+04 22 2.562500000000000E-01 1.930240308347667E+04 23 2.687500000000000E-01 2.462380480915818E+04 24 2.812500000000000E-01 3.106574334291874E+04 25 2.937500000000000E-01 3.837185360378688E+04 26 3.062500000000000E-01 4.629651599883332E+04 27 3.187500000000000E-01 5.431215813976582E+04 28 3.312500000000000E-01 6.206544095313921E+04 29 3.437500000000000E-01 6.911927502528515E+04 30 3.562500000000000E-01 7.537324070044444E+04 31 3.687500000000000E-01 8.068932173820521E+04 32 3.812500000000000E-01 8.520065490130534E+04 33 3.937500000000000E-01 8.890952132736833E+04 34 4.062500000000000E-01 9.200119969694565E+04 35 4.187500000000000E-01 9.448065923082826E+04 36 4.312500000000000E-01 9.652037324112558E+04 37 4.437500000000000E-01 9.807971760990225E+04 38 4.562500000000000E-01 9.933730224515371E+04 39 4.687500000000000E-01 1.001619336421733E+05 40 4.812500000000000E-01 1.008204587460004E+05 41 4.937500000000000E-01 1.009751240969647E+05 42 5.000000000000000E-01 1.010524567724468E+05 2.934291044781691E+03 = mínimo 1.875000000000000E-02 = X (m) 1.010524567724468E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 2.000000000000000E+06 2 6.250000000000000E-03 2.000038640212944E+06 3 1.875000000000000E-02 1.999961552247148E+06 4 3.125000000000000E-02 2.000038737265898E+06 5 4.375000000000000E-02 1.999961429236069E+06 6 5.625000000000000E-02 2.000038700035139E+06 7 6.875000000000001E-02 1.999961452766308E+06 8 8.125000000000000E-02 2.000038712353094E+06 9 9.375000000000000E-02 1.999961409031906E+06 10 1.062500000000000E-01 2.000039103828723E+06 11 1.187500000000000E-01 1.999963455365927E+06 12 1.312500000000000E-01 2.000053151016384E+06 13 1.437500000000000E-01 1.999979435290428E+06 14 1.562500000000000E-01 2.000103117186416E+06 15 1.687500000000000E-01 2.000045777719880E+06 16 1.812500000000000E-01 2.000269241912963E+06 17 1.937500000000000E-01 2.000298856119705E+06 18 2.062500000000000E-01 2.000817256567321E+06 19 2.187500000000000E-01 2.001183420489202E+06 20 2.312500000000000E-01 2.002497770643892E+06 21 2.437500000000000E-01 2.003666882715035E+06 22 2.562500000000000E-01 2.006172611071064E+06 23 2.687500000000000E-01 2.007161743393407E+06 24 2.812500000000000E-01 2.007824735774705E+06 25 2.937500000000000E-01 2.002631500033408E+06 26 3.062500000000000E-01 1.996328684787298E+06 27 3.187500000000000E-01 1.985746910902236E+06 28 3.312500000000000E-01 1.982738127497222E+06 29 3.437500000000000E-01 1.980588693982835E+06 30 3.562500000000000E-01 1.989357346031173E+06 31 3.687500000000000E-01 1.995036670746601E+06 32 3.812500000000000E-01 2.008761152383697E+06 33 3.937500000000000E-01 2.014734443419466E+06 34 4.062500000000000E-01 2.027419144839762E+06 35 4.187500000000000E-01 2.030637614747487E+06 36 4.312500000000000E-01 2.040455832597844E+06 37 4.437500000000000E-01 2.041287397707100E+06 38 4.562500000000000E-01 2.047783737006795E+06 39 4.687500000000000E-01 2.047837785044888E+06 40 4.812500000000000E-01 2.050563011234649E+06 41 4.937500000000000E-01 2.050994087149216E+06 42 5.000000000000000E-01 2.050997198474227E+06 1.980588693982835E+06 = mínimo 3.437500000000000E-01 = X (m) 2.050997198474227E+06 = máximo 5.000000000000000E-01 = X (m) *** temperatura de estagnação *** ponto x (m) T_estagnação (K) 1 0.000000000000000E+00 3.420330000000000E+03 2 6.250000000000000E-03 3.419558566250935E+03 3 1.875000000000000E-02 3.421101443994121E+03 4 3.125000000000000E-02 3.419558691606019E+03 5 4.375000000000000E-02 3.421101378139685E+03 6 5.625000000000000E-02 3.419558674205209E+03 7 6.875000000000001E-02 3.421101390795734E+03 8 8.125000000000000E-02 3.419558680682551E+03 9 9.375000000000000E-02 3.421101364988122E+03 10 1.062500000000000E-01 3.419558824824474E+03 11 1.187500000000000E-01 3.421101486038134E+03 12 1.312500000000000E-01 3.419563894222506E+03 13 1.437500000000000E-01 3.421105761074406E+03 14 1.562500000000000E-01 3.419581113068487E+03 15 1.687500000000000E-01 3.421122182190246E+03 16 1.812500000000000E-01 3.419632190772992E+03 17 1.937500000000000E-01 3.421187282866513E+03 18 2.062500000000000E-01 3.419791158517583E+03 19 2.187500000000000E-01 3.421423511121585E+03 20 2.312500000000000E-01 3.420282675176972E+03 21 2.437500000000000E-01 3.422165146057455E+03 22 2.562500000000000E-01 3.421572236907046E+03 23 2.687500000000000E-01 3.423846063728738E+03 24 2.812500000000000E-01 3.423787154165452E+03 25 2.937500000000000E-01 3.425842437425029E+03 26 3.062500000000000E-01 3.425370219963093E+03 27 3.187500000000000E-01 3.426086129863919E+03 28 3.312500000000000E-01 3.424675036686461E+03 29 3.437500000000000E-01 3.424345817849868E+03 30 3.562500000000000E-01 3.422886386072982E+03 31 3.687500000000000E-01 3.422522403974618E+03 32 3.812500000000000E-01 3.421557463066778E+03 33 3.937500000000000E-01 3.421413969249967E+03 34 4.062500000000000E-01 3.420852182464093E+03 35 4.187500000000000E-01 3.420840841658720E+03 36 4.312500000000000E-01 3.420518248058421E+03 37 4.437500000000000E-01 3.420550328930451E+03 38 4.562500000000000E-01 3.420375411982754E+03 39 4.687500000000000E-01 3.420398844674186E+03 40 4.812500000000000E-01 3.420334014513995E+03 41 4.937500000000000E-01 3.420329994877473E+03 42 5.000000000000000E-01 3.420330999786603E+03 3.419558566250935E+03 = mínimo 6.250000000000000E-03 = X (m) 3.426086129863919E+03 = máximo 3.187500000000000E-01 = X (m)