MACH1D 5.0, CONGELADO, N = 40, mod.10 Dia = (29/5/2006) Hora = 9:37:21 *** 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 *** 1.013833931954927E+00 = coeficiente de descarga 1.003787719570113E+00 = empuxo 9.900908698474489E-01 = velocidade de ejeção dos gases 9.863548343383500E-01 = velocidade característica (m/s) 1.003787719570113E+00 = coeficiente de empuxo 9.900908698474488E-01 = impulso específico 1.259740419149229E+08 = taxa de transferência de calor advectivo na saída da tubeira (W) -7.535741521018870E-02 = razão q_wall / q_advectivo na saída da tubeira *** número de Mach *** ponto x (m) M (adimensional) 1 0.000000000000000E+00 6.685800663272194E-02 2 6.250000000000000E-03 6.672375807630508E-02 3 1.875000000000000E-02 6.641408408009512E-02 4 3.125000000000000E-02 6.714505158574170E-02 5 4.375000000000000E-02 6.656919423427710E-02 6 5.625000000000000E-02 6.704973324958627E-02 7 6.875000000000001E-02 6.648952075421155E-02 8 8.125000000000000E-02 6.703721566512807E-02 9 9.375000000000000E-02 6.654312806584711E-02 10 1.062500000000000E-01 6.737153937226445E-02 11 1.187500000000000E-01 6.827625222604723E-02 12 1.312500000000000E-01 7.237315280823917E-02 13 1.437500000000000E-01 7.770155087617903E-02 14 1.562500000000000E-01 8.678268564162207E-02 15 1.687500000000000E-01 9.814083205380836E-02 16 1.812500000000000E-01 1.151074089642595E-01 17 1.937500000000000E-01 1.369772657746786E-01 18 2.062500000000000E-01 1.681240833741718E-01 19 2.187500000000000E-01 2.090537482953389E-01 20 2.312500000000000E-01 2.656807312857130E-01 21 2.437500000000000E-01 3.397470105431917E-01 22 2.562500000000000E-01 4.380595695846498E-01 23 2.687500000000000E-01 5.615691800093567E-01 24 2.812500000000000E-01 7.148511362497394E-01 25 2.937500000000000E-01 8.939961403079619E-01 26 3.062500000000000E-01 1.098300486457599E+00 27 3.187500000000000E-01 1.317523335324372E+00 28 3.312500000000000E-01 1.547219544601399E+00 29 3.437500000000000E-01 1.774471802025820E+00 30 3.562500000000000E-01 1.996706178132487E+00 31 3.687500000000000E-01 2.203774186617651E+00 32 3.812500000000000E-01 2.397765618232087E+00 33 3.937500000000000E-01 2.571340957051345E+00 34 4.062500000000000E-01 2.729444986991088E+00 35 4.187500000000000E-01 2.865326307222562E+00 36 4.312500000000000E-01 2.985642519561071E+00 37 4.437500000000000E-01 3.082318770315835E+00 38 4.562500000000000E-01 3.164896728236231E+00 39 4.687500000000000E-01 3.220763919900526E+00 40 4.812500000000000E-01 3.267252989805540E+00 41 4.937500000000000E-01 3.279329733930351E+00 42 5.000000000000000E-01 3.285394205988859E+00 6.641408408009512E-02 = mínimo 1.875000000000000E-02 = X (m) 3.285394205988859E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994666188301540E+06 2 6.250000000000000E-03 1.994731812967047E+06 3 1.875000000000000E-02 1.994697078476499E+06 4 3.125000000000000E-02 1.994669168619263E+06 5 4.375000000000000E-02 1.994676763814505E+06 6 5.625000000000000E-02 1.994688782044101E+06 7 6.875000000000001E-02 1.994693829737950E+06 8 8.125000000000000E-02 1.994695208078787E+06 9 9.375000000000000E-02 1.994689679064968E+06 10 1.062500000000000E-01 1.994646487432956E+06 11 1.187500000000000E-01 1.994417701170365E+06 12 1.312500000000000E-01 1.993833591490233E+06 13 1.437500000000000E-01 1.992801281979897E+06 14 1.562500000000000E-01 1.991164611197289E+06 15 1.687500000000000E-01 1.988605956236420E+06 16 1.812500000000000E-01 1.984564025661961E+06 17 1.937500000000000E-01 1.978072403543799E+06 18 2.062500000000000E-01 1.967453690370821E+06 19 2.187500000000000E-01 1.949809066367589E+06 20 2.312500000000000E-01 1.920256458420632E+06 21 2.437500000000000E-01 1.871030945057519E+06 22 2.562500000000000E-01 1.791034298408772E+06 23 2.687500000000000E-01 1.667345974117466E+06 24 2.812500000000000E-01 1.490583137534244E+06 25 2.937500000000000E-01 1.263951931640203E+06 26 3.062500000000000E-01 1.009024347315453E+06 27 3.187500000000000E-01 7.599765177941074E+05 28 3.312500000000000E-01 5.464135756076447E+05 29 3.437500000000000E-01 3.821256895552517E+05 30 3.562500000000000E-01 2.647691549954166E+05 31 3.687500000000000E-01 1.848352011775353E+05 32 3.812500000000000E-01 1.314180730048671E+05 33 3.937500000000000E-01 9.599593389777007E+04 34 4.062500000000000E-01 7.228692524027074E+04 35 4.187500000000000E-01 5.636761297566060E+04 36 4.312500000000000E-01 4.543845037577733E+04 37 4.437500000000000E-01 3.808749305578616E+04 38 4.562500000000000E-01 3.289556157146194E+04 39 4.687500000000000E-01 2.974257176766622E+04 40 4.812500000000000E-01 2.740468671939192E+04 41 4.937500000000000E-01 2.685996324954211E+04 42 5.000000000000000E-01 2.658760151461661E+04 2.658760151461661E+04 = mínimo 5.000000000000000E-01 = X (m) 1.994731812967047E+06 = máximo 6.250000000000000E-03 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.418839299917056E+03 2 6.250000000000000E-03 3.416941164769238E+03 3 1.875000000000000E-02 3.417486299659478E+03 4 3.125000000000000E-02 3.413644742038974E+03 5 4.375000000000000E-02 3.414207733803990E+03 6 5.625000000000000E-02 3.410376397332393E+03 7 6.875000000000001E-02 3.410944799489521E+03 8 8.125000000000000E-02 3.407109451847705E+03 9 9.375000000000000E-02 3.407681149678760E+03 10 1.062500000000000E-01 3.403832819803980E+03 11 1.187500000000000E-01 3.404308203057464E+03 12 1.312500000000000E-01 3.400013144183341E+03 13 1.437500000000000E-01 3.399765973164546E+03 14 1.562500000000000E-01 3.394575412384779E+03 15 1.687500000000000E-01 3.393280037709475E+03 16 1.812500000000000E-01 3.386833201159989E+03 17 1.937500000000000E-01 3.383911607256384E+03 18 2.062500000000000E-01 3.375200470702042E+03 19 2.187500000000000E-01 3.368795648197688E+03 20 2.312500000000000E-01 3.354518386515318E+03 21 2.437500000000000E-01 3.338855608405891E+03 22 2.562500000000000E-01 3.309570208535807E+03 23 2.687500000000000E-01 3.270252262089439E+03 24 2.812500000000000E-01 3.206622306551377E+03 25 2.937500000000000E-01 3.121661653562060E+03 26 3.062500000000000E-01 3.005050303477303E+03 27 3.187500000000000E-01 2.867067217492651E+03 28 3.312500000000000E-01 2.707847753984091E+03 29 3.437500000000000E-01 2.544957200115928E+03 30 3.562500000000000E-01 2.381569305669846E+03 31 3.687500000000000E-01 2.231408646123223E+03 32 3.812500000000000E-01 2.092632537504098E+03 33 3.937500000000000E-01 1.972778420190849E+03 34 4.062500000000000E-01 1.866641363447129E+03 35 4.187500000000000E-01 1.778994563657475E+03 36 4.312500000000000E-01 1.703596157143725E+03 37 4.437500000000000E-01 1.645075766695807E+03 38 4.562500000000000E-01 1.596186602758369E+03 39 4.687500000000000E-01 1.563816546275674E+03 40 4.812500000000000E-01 1.537203230991116E+03 41 4.937500000000000E-01 1.529992924622616E+03 42 5.000000000000000E-01 1.526387771438366E+03 1.526387771438366E+03 = mínimo 5.000000000000000E-01 = X (m) 3.418839299917056E+03 = máximo 0.000000000000000E+00 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.803874179912845E+01 2 6.250000000000000E-03 9.781552241434798E+01 3 1.875000000000000E-02 9.736908364478704E+01 4 3.125000000000000E-02 9.838704335020556E+01 5 4.375000000000000E-02 9.755104964062528E+01 6 5.625000000000000E-02 9.820172504029819E+01 7 6.875000000000001E-02 9.738910614807344E+01 8 8.125000000000000E-02 9.813774981213953E+01 9 9.375000000000000E-02 9.742237015092483E+01 10 1.062500000000000E-01 9.858114971790746E+01 11 1.187500000000000E-01 9.991173600542758E+01 12 1.312500000000000E-01 1.058420754604186E+02 13 1.437500000000000E-01 1.136305806907883E+02 14 1.562500000000000E-01 1.268167857810501E+02 15 1.687500000000000E-01 1.433880595157528E+02 16 1.812500000000000E-01 1.680219176450600E+02 17 1.937500000000000E-01 1.998616044195587E+02 18 2.062500000000000E-01 2.450010259974513E+02 19 2.187500000000000E-01 3.043658400984078E+02 20 2.312500000000000E-01 3.860145464337336E+02 21 2.437500000000000E-01 4.925087258108205E+02 22 2.562500000000000E-01 6.323204444615997E+02 23 2.687500000000000E-01 8.059220557301009E+02 24 2.812500000000000E-01 1.016189277563146E+03 25 2.937500000000000E-01 1.254456267548049E+03 26 3.062500000000000E-01 1.513068447391917E+03 27 3.187500000000000E-01 1.774439502040809E+03 28 3.312500000000000E-01 2.027371228062169E+03 29 3.437500000000000E-01 2.257081213397220E+03 30 3.562500000000000E-01 2.460598050312898E+03 31 3.687500000000000E-01 2.632969342622466E+03 32 3.812500000000000E-01 2.778909133042158E+03 33 3.937500000000000E-01 2.898231966177465E+03 34 4.062500000000000E-01 2.997384753455807E+03 35 4.187500000000000E-01 3.076361027713201E+03 36 4.312500000000000E-01 3.141175478978457E+03 37 4.437500000000000E-01 3.190330521644998E+03 38 4.562500000000000E-01 3.230000492114659E+03 39 4.687500000000000E-01 3.255772620079243E+03 40 4.812500000000000E-01 3.276467891351503E+03 41 4.937500000000000E-01 3.281388793894565E+03 42 5.000000000000000E-01 3.283849245166095E+03 9.736908364478704E+01 = mínimo 1.875000000000000E-02 = X (m) 3.283849245166095E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.108630615695096E+00 2 6.250000000000000E-03 1.109282962187317E+00 3 1.875000000000000E-02 1.109086703691909E+00 4 3.125000000000000E-02 1.110319282642607E+00 5 4.375000000000000E-02 1.110140421717120E+00 6 5.625000000000000E-02 1.111394288686182E+00 7 6.875000000000001E-02 1.111211897176549E+00 8 8.125000000000000E-02 1.112463545557352E+00 9 9.375000000000000E-02 1.112273827357967E+00 10 1.062500000000000E-01 1.113507238290531E+00 11 1.187500000000000E-01 1.113224044671164E+00 12 1.312500000000000E-01 1.114303878079108E+00 13 1.437500000000000E-01 1.113807916614753E+00 14 1.562500000000000E-01 1.114594852851129E+00 15 1.687500000000000E-01 1.113587540289813E+00 16 1.812500000000000E-01 1.113439529115624E+00 17 1.937500000000000E-01 1.110755579268700E+00 18 2.062500000000000E-01 1.107644193673355E+00 19 2.187500000000000E-01 1.099797548986490E+00 20 2.312500000000000E-01 1.087738216359543E+00 21 2.437500000000000E-01 1.064826036561025E+00 22 2.562500000000000E-01 1.028318463221921E+00 23 2.687500000000000E-01 9.688126478598885E-01 24 2.812500000000000E-01 8.832908343604746E-01 25 2.937500000000000E-01 7.693785209906122E-01 26 3.062500000000000E-01 6.380360662336646E-01 27 3.187500000000000E-01 5.036833882527053E-01 28 3.312500000000000E-01 3.834357190959682E-01 29 3.437500000000000E-01 2.853126856786896E-01 30 3.562500000000000E-01 2.112513506990777E-01 31 3.687500000000000E-01 1.573986134986555E-01 32 3.812500000000000E-01 1.193321459164112E-01 33 3.937500000000000E-01 9.246339995925702E-02 34 4.062500000000000E-01 7.358583060175677E-02 35 4.187500000000000E-01 6.020746645820375E-02 36 4.312500000000000E-01 5.068181852505390E-02 37 4.437500000000000E-01 4.399383407815032E-02 38 4.562500000000000E-01 3.916056714316501E-02 39 4.687500000000000E-01 3.613999129615329E-02 40 4.812500000000000E-01 3.387574714189685E-02 41 4.937500000000000E-01 3.335886924450789E-02 42 5.000000000000000E-01 3.309859908617592E-02 3.309859908617592E-02 = mínimo 5.000000000000000E-01 = X (m) 1.114594852851129E+00 = máximo 1.562500000000000E-01 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 3.012831544272267E+03 2 6.250000000000000E-03 3.005971782596240E+03 3 1.875000000000000E-02 2.992252259244184E+03 4 3.125000000000000E-02 3.023535209790070E+03 5 4.375000000000000E-02 2.997844261774874E+03 6 5.625000000000000E-02 3.017840187194165E+03 7 6.875000000000001E-02 2.992867571399252E+03 8 8.125000000000000E-02 3.015874162519518E+03 9 9.375000000000000E-02 2.993889808478597E+03 10 1.062500000000000E-01 3.029500298456289E+03 11 1.187500000000000E-01 3.070390585967633E+03 12 1.312500000000000E-01 3.252636027416150E+03 13 1.437500000000000E-01 3.491984817600196E+03 14 1.562500000000000E-01 3.897210485699676E+03 15 1.687500000000000E-01 4.406462800860729E+03 16 1.812500000000000E-01 5.163486641305041E+03 17 1.937500000000000E-01 6.141953020142340E+03 18 2.062500000000000E-01 7.529133952132720E+03 19 2.187500000000000E-01 9.353475852701773E+03 20 2.312500000000000E-01 1.186262472060656E+04 21 2.437500000000000E-01 1.513530057324106E+04 22 2.562500000000000E-01 1.943185873463651E+04 23 2.687500000000000E-01 2.476681510971804E+04 24 2.812500000000000E-01 3.122854347382811E+04 25 2.937500000000000E-01 3.855073356125438E+04 26 3.062500000000000E-01 4.649815229458560E+04 27 3.187500000000000E-01 5.453035409312903E+04 28 3.312500000000000E-01 6.230320662795377E+04 29 3.437500000000000E-01 6.936243114625449E+04 30 3.562500000000000E-01 7.561671322696884E+04 31 3.687500000000000E-01 8.091386063285139E+04 32 3.812500000000000E-01 8.539874075342472E+04 33 3.937500000000000E-01 8.906565435334186E+04 34 4.062500000000000E-01 9.211272166298538E+04 35 4.187500000000000E-01 9.453974393974300E+04 36 4.312500000000000E-01 9.653155880510267E+04 37 4.437500000000000E-01 9.804214391041988E+04 38 4.562500000000000E-01 9.926124297470841E+04 39 4.687500000000000E-01 1.000532470199440E+05 40 4.812500000000000E-01 1.006892340283666E+05 41 4.937500000000000E-01 1.008404584334941E+05 42 5.000000000000000E-01 1.009160706360579E+05 2.992252259244184E+03 = mínimo 1.875000000000000E-02 = X (m) 1.009160706360579E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 1.999999999923098E+06 2 6.250000000000000E-03 2.000044464129505E+06 3 1.875000000000000E-02 1.999960359849851E+06 4 3.125000000000000E-02 2.000049180387402E+06 5 4.375000000000000E-02 1.999964782399692E+06 6 5.625000000000000E-02 2.000053717845702E+06 7 6.875000000000001E-02 1.999969378654017E+06 8 8.125000000000000E-02 2.000058308550998E+06 9 9.375000000000000E-02 1.999973886852738E+06 10 1.062500000000000E-01 2.000063297830296E+06 11 1.187500000000000E-01 1.999980479395403E+06 12 1.312500000000000E-01 2.000083289940437E+06 13 1.437500000000000E-01 2.000002837438568E+06 14 1.562500000000000E-01 2.000144237639735E+06 15 1.687500000000000E-01 2.000081312404813E+06 16 1.812500000000000E-01 2.000333138331000E+06 17 1.937500000000000E-01 2.000361103310789E+06 18 2.062500000000000E-01 2.000932944726833E+06 19 2.187500000000000E-01 2.001310755105941E+06 20 2.312500000000000E-01 2.002740575805092E+06 21 2.437500000000000E-01 2.003960509561945E+06 22 2.562500000000000E-01 2.006729685202071E+06 23 2.687500000000000E-01 2.007850729225676E+06 24 2.812500000000000E-01 2.009046773186093E+06 25 2.937500000000000E-01 2.003996315858689E+06 26 3.062500000000000E-01 1.998406154842352E+06 27 3.187500000000000E-01 1.987469169347911E+06 28 3.312500000000000E-01 1.984586022142350E+06 29 3.437500000000000E-01 1.980147941600377E+06 30 3.562500000000000E-01 1.986199893990607E+06 31 3.687500000000000E-01 1.985007819623989E+06 32 3.812500000000000E-01 1.990488427964150E+06 33 3.937500000000000E-01 1.983758910233710E+06 34 4.062500000000000E-01 1.982835555527151E+06 35 4.187500000000000E-01 1.969822703157075E+06 36 4.312500000000000E-01 1.963998398641486E+06 37 4.437500000000000E-01 1.949618377724524E+06 38 4.562500000000000E-01 1.942702881950742E+06 39 4.687500000000000E-01 1.933272587755531E+06 40 4.812500000000000E-01 1.928160915116453E+06 41 4.937500000000000E-01 1.928872110195603E+06 42 5.000000000000000E-01 1.928990548558312E+06 1.928160915116453E+06 = mínimo 4.812500000000000E-01 = X (m) 2.009046773186093E+06 = máximo 2.812500000000000E-01 = X (m) *** temperatura de estagnação *** ponto x (m) T_estagnação (K) 1 0.000000000000000E+00 3.420330098489652E+03 2 6.250000000000000E-03 3.418425307406304E+03 3 1.875000000000000E-02 3.418956890110250E+03 4 3.125000000000000E-02 3.415146498556468E+03 5 4.375000000000000E-02 3.415684040957646E+03 6 5.625000000000000E-02 3.411872719641793E+03 7 6.875000000000001E-02 3.412416422854577E+03 8 8.125000000000000E-02 3.408604043062414E+03 9 9.375000000000000E-02 3.409153992920235E+03 10 1.062500000000000E-01 3.405341168065959E+03 11 1.187500000000000E-01 3.405857510613125E+03 12 1.312500000000000E-01 3.401752165537459E+03 13 1.437500000000000E-01 3.401770368991191E+03 14 1.562500000000000E-01 3.397072580974171E+03 15 1.687500000000000E-01 3.396472646455735E+03 16 1.812500000000000E-01 3.391218286439287E+03 17 1.937500000000000E-01 3.390116901560938E+03 18 2.062500000000000E-01 3.384528963165194E+03 19 2.187500000000000E-01 3.383196711730395E+03 20 2.312500000000000E-01 3.377697418605673E+03 21 2.437500000000000E-01 3.376615588701169E+03 22 2.562500000000000E-01 3.371897442609131E+03 23 2.687500000000000E-01 3.371693108575475E+03 24 2.812500000000000E-01 3.368413710315015E+03 25 2.937500000000000E-01 3.369321388446576E+03 26 3.062500000000000E-01 3.367724668569491E+03 27 3.187500000000000E-01 3.370133660702519E+03 28 3.312500000000000E-01 3.371802787917005E+03 29 3.437500000000000E-01 3.378399843800314E+03 30 3.562500000000000E-01 3.386475012161552E+03 31 3.687500000000000E-01 3.399389980710451E+03 32 3.812500000000000E-01 3.413991474913734E+03 33 3.937500000000000E-01 3.431503707929912E+03 34 4.062500000000000E-01 3.449443387150563E+03 35 4.187500000000000E-01 3.467798734877154E+03 36 4.312500000000000E-01 3.485150821307085E+03 37 4.437500000000000E-01 3.500626642862175E+03 38 4.562500000000000E-01 3.514238517237846E+03 39 4.687500000000000E-01 3.523851836523054E+03 40 4.812500000000000E-01 3.531885189522622E+03 41 4.937500000000000E-01 3.533337980677200E+03 42 5.000000000000000E-01 3.534081034710455E+03 3.367724668569491E+03 = mínimo 3.062500000000000E-01 = X (m) 3.534081034710455E+03 = máximo 5.000000000000000E-01 = X (m)