MACH1D 5.0, congelado, mod=00, N = 40 Dia = (3/3/2006) Hora = 9:23:1 *** 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 *** 1.062804106407504E+00 = coeficiente de descarga 1.008526809869201E+00 = empuxo 9.489301027244134E-01 = velocidade de ejeção dos gases 9.409071662135418E-01 = velocidade característica (m/s) 1.008526809869201E+00 = coeficiente de empuxo 9.489301027244130E-01 = impulso específico 1.606143570451908E+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 6.641651286109927E-02 2 6.250000000000000E-03 6.629597250164600E-02 3 1.875000000000000E-02 6.602116746393079E-02 4 3.125000000000000E-02 6.672627788273300E-02 5 4.375000000000000E-02 6.619968331991691E-02 6 5.625000000000000E-02 6.666741670651993E-02 7 6.875000000000001E-02 6.615607929586857E-02 8 8.125000000000000E-02 6.668766765080106E-02 9 9.375000000000000E-02 6.624227161407290E-02 10 1.062500000000000E-01 6.705393598188429E-02 11 1.187500000000000E-01 6.800322034873016E-02 12 1.312500000000000E-01 7.207196136230523E-02 13 1.437500000000000E-01 7.743622170344781E-02 14 1.562500000000000E-01 8.648387828697780E-02 15 1.687500000000000E-01 9.787958373709789E-02 16 1.812500000000000E-01 1.148145799693449E-01 17 1.937500000000000E-01 1.367344000087030E-01 18 2.062500000000000E-01 1.678638641583648E-01 19 2.187500000000000E-01 2.088767736136261E-01 20 2.312500000000000E-01 2.655187923656449E-01 21 2.437500000000000E-01 3.397177204317085E-01 22 2.562500000000000E-01 4.380479052716807E-01 23 2.687500000000000E-01 5.616234767040493E-01 24 2.812500000000000E-01 7.145913489736357E-01 25 2.937500000000000E-01 8.930811006245766E-01 26 3.062500000000000E-01 1.095608503571048E+00 27 3.187500000000000E-01 1.311940855001504E+00 28 3.312500000000000E-01 1.536724904740656E+00 29 3.437500000000000E-01 1.757569562750108E+00 30 3.562500000000000E-01 1.971238908104460E+00 31 3.687500000000000E-01 2.168731282301235E+00 32 3.812500000000000E-01 2.351541425247667E+00 33 3.937500000000000E-01 2.513832906185377E+00 34 4.062500000000000E-01 2.659795843317386E+00 35 4.187500000000000E-01 2.784461598225464E+00 36 4.312500000000000E-01 2.893379488396016E+00 37 4.437500000000000E-01 2.980636095565938E+00 38 4.562500000000000E-01 3.054016077766122E+00 39 4.687500000000000E-01 3.103651262705068E+00 40 4.812500000000000E-01 3.144147236466022E+00 41 4.937500000000000E-01 3.153812669066682E+00 42 5.000000000000000E-01 3.158658722023351E+00 6.602116746393079E-02 = mínimo 1.875000000000000E-02 = X (m) 3.158658722023351E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994859770056026E+06 2 6.250000000000000E-03 1.994917833338579E+06 3 1.875000000000000E-02 1.994881448677916E+06 4 3.125000000000000E-02 1.994851333034429E+06 5 4.375000000000000E-02 1.994853853418886E+06 6 5.625000000000000E-02 1.994860429538196E+06 7 6.875000000000001E-02 1.994860593794029E+06 8 8.125000000000000E-02 1.994857299922298E+06 9 9.375000000000000E-02 1.994847270061317E+06 10 1.062500000000000E-01 1.994800696326348E+06 11 1.187500000000000E-01 1.994574187406381E+06 12 1.312500000000000E-01 1.994002485150397E+06 13 1.437500000000000E-01 1.992994249328111E+06 14 1.562500000000000E-01 1.991396251798571E+06 15 1.687500000000000E-01 1.988897686442925E+06 16 1.812500000000000E-01 1.984949111781508E+06 17 1.937500000000000E-01 1.978603865542426E+06 18 2.062500000000000E-01 1.968217238744794E+06 19 2.187500000000000E-01 1.950944177255975E+06 20 2.312500000000000E-01 1.921986895261528E+06 21 2.437500000000000E-01 1.873701757579141E+06 22 2.562500000000000E-01 1.795136386780280E+06 23 2.687500000000000E-01 1.673478740288604E+06 24 2.812500000000000E-01 1.499295601126146E+06 25 2.937500000000000E-01 1.275427705483631E+06 26 3.062500000000000E-01 1.022824676252113E+06 27 3.187500000000000E-01 7.750011912960601E+05 28 3.312500000000000E-01 5.613856508502691E+05 29 3.437500000000000E-01 3.959605139101933E+05 30 3.562500000000000E-01 2.769419645018090E+05 31 3.687500000000000E-01 1.952043088439300E+05 32 3.812500000000000E-01 1.401543854734170E+05 33 3.937500000000000E-01 1.033372339354091E+05 34 4.062500000000000E-01 7.852354238339953E+04 35 4.187500000000000E-01 6.172393571795880E+04 36 4.312500000000000E-01 5.014116779855936E+04 37 4.437500000000000E-01 4.228065490948539E+04 38 4.562500000000000E-01 3.673680388807072E+04 39 4.687500000000000E-01 3.333119615941522E+04 40 4.812500000000000E-01 3.083145951365820E+04 41 4.937500000000000E-01 3.025977225537772E+04 42 5.000000000000000E-01 2.997392862623762E+04 2.997392862623762E+04 = mínimo 5.000000000000000E-01 = X (m) 1.994917833338579E+06 = máximo 6.250000000000000E-03 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.419070756202075E+03 2 6.250000000000000E-03 3.418182395040953E+03 3 1.875000000000000E-02 3.419978637840960E+03 4 3.125000000000000E-02 3.418166180675765E+03 5 4.375000000000000E-02 3.419971838804371E+03 6 5.625000000000000E-02 3.418168404616681E+03 7 6.875000000000001E-02 3.419973498061888E+03 8 8.125000000000000E-02 3.418167639982516E+03 9 9.375000000000000E-02 3.419970217203341E+03 10 1.062500000000000E-01 3.418153792462557E+03 11 1.187500000000000E-01 3.419902820510849E+03 12 1.312500000000000E-01 3.417959041420324E+03 13 1.437500000000000E-01 3.419514817308057E+03 14 1.562500000000000E-01 3.417322258593942E+03 15 1.687500000000000E-01 3.418506136894679E+03 16 1.812500000000000E-01 3.415740893628230E+03 17 1.937500000000000E-01 3.415963274429611E+03 18 2.062500000000000E-01 3.411610226820186E+03 19 2.187500000000000E-01 3.409076558696652E+03 20 2.312500000000000E-01 3.400039744498726E+03 21 2.437500000000000E-01 3.389450082063273E+03 22 2.562500000000000E-01 3.367161251239055E+03 23 2.687500000000000E-01 3.335546681242627E+03 24 2.812500000000000E-01 3.282634380623370E+03 25 2.937500000000000E-01 3.210263732430508E+03 26 3.062500000000000E-01 3.109946900837134E+03 27 3.187500000000000E-01 2.989975530928636E+03 28 3.312500000000000E-01 2.850969676803243E+03 29 3.437500000000000E-01 2.707622508538451E+03 30 3.562500000000000E-01 2.563283178588310E+03 31 3.687500000000000E-01 2.429569338797783E+03 32 3.812500000000000E-01 2.305566161615445E+03 33 3.937500000000000E-01 2.197641914375591E+03 34 4.062500000000000E-01 2.101882409257556E+03 35 4.187500000000000E-01 2.022224322739222E+03 36 4.312500000000000E-01 1.953762840366911E+03 37 4.437500000000000E-01 1.900252770187323E+03 38 4.562500000000000E-01 1.855835771872219E+03 39 4.687500000000000E-01 1.826338507891279E+03 40 4.812500000000000E-01 1.802449685543493E+03 41 4.937500000000000E-01 1.796792812553511E+03 42 5.000000000000000E-01 1.793964376058520E+03 1.793964376058520E+03 = mínimo 5.000000000000000E-01 = X (m) 3.419978637840960E+03 = máximo 1.875000000000000E-02 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.012856721616559E+01 2 6.250000000000000E-03 8.995360048733197E+01 3 1.875000000000000E-02 8.960366702966554E+01 4 3.125000000000000E-02 9.053725048991366E+01 5 4.375000000000000E-02 8.984586100471429E+01 6 5.625000000000000E-02 9.045741364532779E+01 7 6.875000000000001E-02 8.978670308025613E+01 8 8.125000000000000E-02 9.048488119378676E+01 9 9.375000000000000E-02 8.990364084062909E+01 10 1.062500000000000E-01 9.098167123624620E+01 11 1.187500000000000E-01 9.229270433453351E+01 12 1.312500000000000E-01 9.778762944402393E+01 13 1.437500000000000E-01 1.050891878005831E+02 14 1.562500000000000E-01 1.173311438068443E+02 15 1.687500000000000E-01 1.328139096545197E+02 16 1.812500000000000E-01 1.557317774559786E+02 17 1.937500000000000E-01 1.854691856601145E+02 18 2.062500000000000E-01 2.275523685452085E+02 19 2.187500000000000E-01 2.830460437173103E+02 20 2.312500000000000E-01 3.593358810125703E+02 21 2.437500000000000E-01 4.590537913643598E+02 22 2.562500000000000E-01 5.900264557096838E+02 23 2.687500000000000E-01 7.530096214032633E+02 24 2.812500000000000E-01 9.506791438634821E+02 25 2.937500000000000E-01 1.175331334448109E+03 26 3.062500000000000E-01 1.419811309092165E+03 27 3.187500000000000E-01 1.668050117237898E+03 28 3.312500000000000E-01 1.909386018448041E+03 29 3.437500000000000E-01 2.130129877189141E+03 30 3.562500000000000E-01 2.326989753779620E+03 31 3.687500000000000E-01 2.495225491509000E+03 32 3.812500000000000E-01 2.638679545368333E+03 33 3.937500000000000E-01 2.757100374959290E+03 34 4.062500000000000E-01 2.856098627096950E+03 35 4.187500000000000E-01 2.935723035350722E+03 36 4.312500000000000E-01 3.001281041081475E+03 37 4.437500000000000E-01 3.051531642157372E+03 38 4.562500000000000E-01 3.091999106802183E+03 39 4.687500000000000E-01 3.118641471558857E+03 40 4.812500000000000E-01 3.139828602582947E+03 41 4.937500000000000E-01 3.144830008325865E+03 42 5.000000000000000E-01 3.147330711197325E+03 8.960366702966554E+01 = mínimo 1.875000000000000E-02 = X (m) 3.147330711197325E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.264179199135514E+00 2 6.250000000000000E-03 1.264544555598577E+00 3 1.875000000000000E-02 1.263857339402778E+00 4 3.125000000000000E-02 1.264508400460331E+00 5 4.375000000000000E-02 1.263842368986313E+00 6 5.625000000000000E-02 1.264513343884314E+00 7 6.875000000000001E-02 1.263846026183743E+00 8 8.125000000000000E-02 1.264511642933310E+00 9 9.375000000000000E-02 1.263838797348249E+00 10 1.062500000000000E-01 1.264480885325150E+00 11 1.187500000000000E-01 1.263690688687493E+00 12 1.312500000000000E-01 1.264046928288005E+00 13 1.437500000000000E-01 1.262832970594102E+00 14 1.562500000000000E-01 1.262630007515835E+00 15 1.687500000000000E-01 1.260609092233202E+00 16 1.812500000000000E-01 1.259124905972596E+00 17 1.937500000000000E-01 1.255018179543520E+00 18 2.062500000000000E-01 1.250022931534295E+00 19 2.187500000000000E-01 1.239973617957480E+00 20 2.312500000000000E-01 1.224815813718570E+00 21 2.437500000000000E-01 1.197775921659127E+00 22 2.562500000000000E-01 1.155148694209118E+00 23 2.687500000000000E-01 1.087070055903163E+00 24 2.812500000000000E-01 9.896214716080273E-01 25 2.937500000000000E-01 8.608341565542350E-01 26 3.062500000000000E-01 7.126110946865997E-01 27 3.187500000000000E-01 5.616155090661199E-01 28 3.312500000000000E-01 4.266512929911039E-01 29 3.437500000000000E-01 3.168605122641474E-01 30 3.562500000000000E-01 2.340973716058206E-01 31 3.687500000000000E-01 1.740862451733887E-01 32 3.812500000000000E-01 1.317144608639289E-01 33 3.937500000000000E-01 1.018835946700234E-01 34 4.062500000000000E-01 8.094608045646839E-02 35 4.187500000000000E-01 6.613458568123606E-02 36 4.312500000000000E-01 5.560667865477077E-02 37 4.437500000000000E-01 4.820972874388168E-02 38 4.562500000000000E-01 4.289100126663298E-02 39 4.687500000000000E-01 3.954339744369796E-02 40 4.812500000000000E-01 3.706254944320992E-02 41 4.937500000000000E-01 3.648984426759670E-02 42 5.000000000000000E-01 3.620213725471815E-02 3.620213725471815E-02 = mínimo 5.000000000000000E-01 = X (m) 1.264544555598577E+00 = máximo 6.250000000000000E-03 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 2.903527803377376E+03 2 6.250000000000000E-03 2.897891180300744E+03 3 1.875000000000000E-02 2.886617934147507E+03 4 3.125000000000000E-02 2.916693698328938E+03 5 4.375000000000000E-02 2.894420309821336E+03 6 5.625000000000000E-02 2.914121722482112E+03 7 6.875000000000001E-02 2.892514513648604E+03 8 8.125000000000000E-02 2.915006600530267E+03 9 9.375000000000000E-02 2.896281710321034E+03 10 1.062500000000000E-01 2.931010890238572E+03 11 1.187500000000000E-01 2.973246345317930E+03 12 1.312500000000000E-01 3.150267553195516E+03 13 1.437500000000000E-01 3.385490172960512E+03 14 1.562500000000000E-01 3.779869676926784E+03 15 1.687500000000000E-01 4.278653164786824E+03 16 1.812500000000000E-01 5.016961432753251E+03 17 1.937500000000000E-01 5.974963919512017E+03 18 2.062500000000000E-01 7.330690470322747E+03 19 2.187500000000000E-01 9.118441388268002E+03 20 2.312500000000000E-01 1.157614897803420E+04 21 2.437500000000000E-01 1.478860130190941E+04 22 2.562500000000000E-01 1.900793801339829E+04 23 2.687500000000000E-01 2.425850581548902E+04 24 2.812500000000000E-01 3.062650845961218E+04 25 2.937500000000000E-01 3.786376853818029E+04 26 3.062500000000000E-01 4.573978860233475E+04 27 3.187500000000000E-01 5.373690098957259E+04 28 3.312500000000000E-01 6.151163347185156E+04 29 3.437500000000000E-01 6.862298507852209E+04 30 3.562500000000000E-01 7.496490465746079E+04 31 3.687500000000000E-01 8.038468616632900E+04 32 3.812500000000000E-01 8.500611582790094E+04 33 3.937500000000000E-01 8.882109016774253E+04 34 4.062500000000000E-01 9.201035841471297E+04 35 4.187500000000000E-01 9.457549054022213E+04 36 4.312500000000000E-01 9.668746788827736E+04 37 4.437500000000000E-01 9.830631107936408E+04 38 4.562500000000000E-01 9.960998662151034E+04 39 4.687500000000000E-01 1.004682810469969E+05 40 4.812500000000000E-01 1.011508329381714E+05 41 4.937500000000000E-01 1.013119552224712E+05 42 5.000000000000000E-01 1.013925163646211E+05 2.886617934147507E+03 = mínimo 1.875000000000000E-02 = X (m) 1.013925163646211E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 1.999999999946868E+06 2 6.250000000000000E-03 2.000039584441931E+06 3 1.875000000000000E-02 1.999960620501007E+06 4 3.125000000000000E-02 2.000039689043278E+06 5 4.375000000000000E-02 1.999960489464493E+06 6 5.625000000000000E-02 2.000039649350800E+06 7 6.875000000000001E-02 1.999960514646211E+06 8 8.125000000000000E-02 2.000039662098603E+06 9 9.375000000000000E-02 1.999960469131044E+06 10 1.062500000000000E-01 2.000040056994585E+06 11 1.187500000000000E-01 1.999962436411126E+06 12 1.312500000000000E-01 2.000054013191363E+06 13 1.437500000000000E-01 1.999977909349845E+06 14 1.562500000000000E-01 2.000103579225074E+06 15 1.687500000000000E-01 2.000042630164352E+06 16 1.812500000000000E-01 2.000267914378111E+06 17 1.937500000000000E-01 2.000290591879258E+06 18 2.062500000000000E-01 2.000809261044601E+06 19 2.187500000000000E-01 2.001159525165106E+06 20 2.312500000000000E-01 2.002469826891747E+06 21 2.437500000000000E-01 2.003605772874929E+06 22 2.562500000000000E-01 2.006114714746092E+06 23 2.687500000000000E-01 2.007070421645605E+06 24 2.812500000000000E-01 2.007808192405995E+06 25 2.937500000000000E-01 2.002562275311618E+06 26 3.062500000000000E-01 1.996179463436467E+06 27 3.187500000000000E-01 1.984708492476088E+06 28 3.312500000000000E-01 1.979964419938773E+06 29 3.437500000000000E-01 1.974050896014428E+06 30 3.562500000000000E-01 1.977184915077726E+06 31 3.687500000000000E-01 1.974372530688649E+06 32 3.812500000000000E-01 1.977214686685010E+06 33 3.937500000000000E-01 1.969833932394592E+06 34 4.062500000000000E-01 1.967362981871554E+06 35 4.187500000000000E-01 1.954699679480627E+06 36 4.312500000000000E-01 1.948256185181836E+06 37 4.437500000000000E-01 1.934407819871987E+06 38 4.562500000000000E-01 1.927229789937084E+06 39 4.687500000000000E-01 1.917447266437780E+06 40 4.812500000000000E-01 1.911700575502258E+06 41 4.937500000000000E-01 1.910052954077167E+06 42 5.000000000000000E-01 1.909012537693003E+06 1.909012537693003E+06 = mínimo 5.000000000000000E-01 = X (m) 2.007808192405995E+06 = máximo 2.812500000000000E-01 = X (m) *** temperatura de estagnação *** ponto x (m) T_estagnação (K) 1 0.000000000000000E+00 3.420330070612896E+03 2 6.250000000000000E-03 3.419436874442359E+03 3 1.875000000000000E-02 3.421223276385299E+03 4 3.125000000000000E-02 3.419436992798132E+03 5 4.375000000000000E-02 3.421223215205110E+03 6 5.625000000000000E-02 3.419436976366396E+03 7 6.875000000000001E-02 3.421223227005407E+03 8 8.125000000000000E-02 3.419436982300433E+03 9 9.375000000000000E-02 3.421223203731368E+03 10 1.062500000000000E-01 3.419437112000589E+03 11 1.187500000000000E-01 3.421223288533946E+03 12 1.312500000000000E-01 3.419441554702932E+03 13 1.437500000000000E-01 3.421226868395381E+03 14 1.562500000000000E-01 3.419456628548319E+03 15 1.687500000000000E-01 3.421240821764803E+03 16 1.812500000000000E-01 3.419501243222342E+03 17 1.937500000000000E-01 3.421296782532944E+03 18 2.062500000000000E-01 3.419640248014423E+03 19 2.187500000000000E-01 3.421502161807668E+03 20 2.312500000000000E-01 3.420074366174500E+03 21 2.437500000000000E-01 3.422162725406019E+03 22 2.562500000000000E-01 3.421258549688103E+03 23 2.687500000000000E-01 3.423788844591728E+03 24 2.812500000000000E-01 3.423645229507608E+03 25 2.937500000000000E-01 3.426583376555419E+03 26 3.062500000000000E-01 3.427336546489601E+03 27 3.187500000000000E-01 3.431161503831561E+03 28 3.312500000000000E-01 3.434333156384399E+03 29 3.437500000000000E-01 3.441343921045670E+03 30 3.562500000000000E-01 3.449389244526451E+03 31 3.687500000000000E-01 3.461143178718239E+03 32 3.812500000000000E-01 3.474029022142066E+03 33 3.937500000000000E-01 3.489102961709079E+03 34 4.062500000000000E-01 3.504307895316748E+03 35 4.187500000000000E-01 3.519781838296281E+03 36 4.312500000000000E-01 3.534262417727670E+03 37 4.437500000000000E-01 3.547265114207438E+03 38 4.562500000000000E-01 3.558588073863988E+03 39 4.687500000000000E-01 3.566813293493578E+03 40 4.812500000000000E-01 3.573614301002029E+03 41 4.937500000000000E-01 3.575283185722137E+03 42 5.000000000000000E-01 3.576128663355388E+03 3.419436874442359E+03 = mínimo 6.250000000000000E-03 = X (m) 3.576128663355388E+03 = máximo 5.000000000000000E-01 = X (m)