MACH1D 5.0, TAXA FINITA, modelo = 031, N = 20 Dia = (1/6/2006) Hora = 14:2:25 *** 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 *** 1.039083050405872E+00 = coeficiente de descarga 1.044335717023192E+00 = empuxo 1.005055097968606E+00 = velocidade de ejeção dos gases 9.623869811074237E-01 = velocidade característica (m/s) 1.044335717023192E+00 = coeficiente de empuxo 1.005055097968606E+00 = impulso específico 2.137428114510558E+08 = taxa de transferência de calor advectivo na saída da tubeira (W) -4.431522150335137E-02 = razão q_wall / q_advectivo na saída da tubeira *** número de Mach *** ponto x (m) M (adimensional) 1 0.000000000000000E+00 6.925554825924404E-02 2 1.250000000000000E-02 6.787736999316200E-02 3 3.750000000000001E-02 6.319863411337370E-02 4 6.250000000000000E-02 6.829450851866144E-02 5 8.750000000000001E-02 6.569966742976752E-02 6 1.125000000000000E-01 7.027064673659693E-02 7 1.375000000000000E-01 7.365046285442654E-02 8 1.625000000000000E-01 9.512772479290074E-02 9 1.875000000000000E-01 1.275125164263030E-01 10 2.125000000000000E-01 1.954346578925280E-01 11 2.375000000000000E-01 3.057734905748071E-01 12 2.625000000000000E-01 4.991495601342610E-01 13 2.875000000000000E-01 7.724930693816763E-01 14 3.125000000000000E-01 1.134764421364111E+00 15 3.375000000000000E-01 1.542748646447089E+00 16 3.625000000000000E-01 1.971909918747031E+00 17 3.875000000000000E-01 2.340087530176348E+00 18 4.125000000000000E-01 2.669659187163210E+00 19 4.375000000000000E-01 2.884709939257325E+00 20 4.625000000000000E-01 3.063136577248668E+00 21 4.875000000000000E-01 3.103432655730650E+00 22 5.000000000000000E-01 3.124244768603171E+00 6.319863411337370E-02 = mínimo 3.750000000000001E-02 = X (m) 3.124244768603171E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994468309206567E+06 2 1.250000000000000E-02 1.995170711878546E+06 3 3.750000000000001E-02 1.995371478238586E+06 4 6.250000000000000E-02 1.995110006277307E+06 5 8.750000000000001E-02 1.994983462221055E+06 6 1.125000000000000E-01 1.994801850359651E+06 7 1.375000000000000E-01 1.993731048414138E+06 8 1.625000000000000E-01 1.990408778802978E+06 9 1.875000000000000E-01 1.982110774950288E+06 10 2.125000000000000E-01 1.960954857517932E+06 11 2.375000000000000E-01 1.904402200009192E+06 12 2.625000000000000E-01 1.756911741280504E+06 13 2.875000000000000E-01 1.432465213062197E+06 14 3.125000000000000E-01 9.420375973860683E+05 15 3.375000000000000E-01 5.034831992541096E+05 16 3.625000000000000E-01 2.472960926288601E+05 17 3.875000000000000E-01 1.267331080291021E+05 18 4.125000000000000E-01 7.164505188278697E+04 19 4.375000000000000E-01 4.778338979498726E+04 20 4.625000000000000E-01 3.484908377360657E+04 21 4.875000000000000E-01 3.233330275101383E+04 22 5.000000000000000E-01 3.107541223973039E+04 3.107541223973039E+04 = mínimo 5.000000000000000E-01 = X (m) 1.995371478238586E+06 = máximo 3.750000000000001E-02 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.418783880843776E+03 2 1.250000000000000E-02 3.115173764079085E+03 3 3.750000000000001E-02 3.115807697132029E+03 4 6.250000000000000E-02 3.112039502640850E+03 5 8.750000000000001E-02 3.114586089043393E+03 6 1.125000000000000E-01 3.110891446408557E+03 7 1.375000000000000E-01 3.113276015404990E+03 8 1.625000000000000E-01 3.108860863542674E+03 9 1.875000000000000E-01 3.109927945416388E+03 10 2.125000000000000E-01 3.102952201995141E+03 11 2.375000000000000E-01 3.097693034293493E+03 12 2.625000000000000E-01 3.073890680569425E+03 13 2.875000000000000E-01 3.028933558428635E+03 14 3.125000000000000E-01 2.929566588473237E+03 15 3.375000000000000E-01 2.783798643071095E+03 16 3.625000000000000E-01 2.572875361285634E+03 17 3.875000000000000E-01 2.343185976512344E+03 18 4.125000000000000E-01 2.112769060950597E+03 19 4.375000000000000E-01 1.971141313699017E+03 20 4.625000000000000E-01 1.854824509865934E+03 21 4.875000000000000E-01 1.830770952614591E+03 22 5.000000000000000E-01 1.818744173988919E+03 1.818744173988919E+03 = mínimo 5.000000000000000E-01 = X (m) 3.418783880843776E+03 = máximo 0.000000000000000E+00 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.984417160299365E+01 2 1.250000000000000E-02 9.623844878315552E+01 3 3.750000000000001E-02 8.902700314347925E+01 4 6.250000000000000E-02 9.677504505966249E+01 5 8.750000000000001E-02 9.250046575912963E+01 6 1.125000000000000E-01 9.953239320692002E+01 7 1.375000000000000E-01 1.035896113059798E+02 8 1.625000000000000E-01 1.346521226283553E+02 9 1.875000000000000E-01 1.792713708145333E+02 10 2.125000000000000E-01 2.761876577030885E+02 11 2.375000000000000E-01 4.317318755458731E+02 12 2.625000000000000E-01 7.007290187929182E+02 13 2.875000000000000E-01 1.074337496718000E+03 14 3.125000000000000E-01 1.544783995874357E+03 15 3.375000000000000E-01 2.036510518660025E+03 16 3.625000000000000E-01 2.490563526967355E+03 17 3.875000000000000E-01 2.820102627219665E+03 18 4.125000000000000E-01 3.060913573359266E+03 19 4.375000000000000E-01 3.199174436236413E+03 20 4.625000000000000E-01 3.300272668392729E+03 21 4.875000000000000E-01 3.322411772881789E+03 22 5.000000000000000E-01 3.333481325126319E+03 8.902700314347925E+01 = mínimo 3.750000000000001E-02 = X (m) 3.333481325126319E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.108823767563143E+00 2 1.250000000000000E-02 1.182112998956926E+00 3 3.750000000000001E-02 1.180529039922591E+00 4 6.250000000000000E-02 1.183524402191531E+00 5 8.750000000000001E-02 1.181278301854795E+00 6 1.125000000000000E-01 1.184303275262941E+00 7 1.375000000000000E-01 1.181597849047958E+00 8 1.625000000000000E-01 1.183239100723612E+00 9 1.875000000000000E-01 1.177077081859928E+00 10 2.125000000000000E-01 1.169508475647655E+00 11 2.375000000000000E-01 1.137864254575109E+00 12 2.625000000000000E-01 1.061942201484842E+00 13 2.875000000000000E-01 8.824103269953596E-01 14 3.125000000000000E-01 6.061577479839670E-01 15 3.375000000000000E-01 3.451995337227769E-01 16 3.625000000000000E-01 1.860143116599204E-01 17 3.875000000000000E-01 1.053247825355502E-01 18 4.125000000000000E-01 6.618516700380758E-02 19 4.375000000000000E-01 4.736676829932876E-02 20 4.625000000000000E-01 3.673106145487093E-02 21 4.875000000000000E-01 3.454203128992481E-02 22 5.000000000000000E-01 3.343213092077440E-02 3.343213092077440E-02 = mínimo 5.000000000000000E-01 = X (m) 1.184303275262941E+00 = máximo 1.125000000000000E-01 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 3.144729371106393E+03 2 1.250000000000000E-02 3.031162176611551E+03 3 3.750000000000001E-02 2.804027787621867E+03 4 6.250000000000000E-02 3.048063013626530E+03 5 8.750000000000001E-02 2.913429265259529E+03 6 1.125000000000000E-01 3.134909482136732E+03 7 1.375000000000000E-01 3.262697140807787E+03 8 1.625000000000000E-01 4.241053614976484E+03 9 1.875000000000000E-01 5.646398143705615E+03 10 2.125000000000000E-01 8.698909762800213E+03 11 2.375000000000000E-01 1.359798862241498E+04 12 2.625000000000000E-01 2.207042325261360E+04 13 2.875000000000000E-01 3.383773560507677E+04 14 3.125000000000000E-01 4.865509449222101E+04 15 3.375000000000000E-01 6.414269696244615E+04 16 3.625000000000000E-01 7.844372033054894E+04 17 3.875000000000000E-01 8.882300708162795E+04 18 4.125000000000000E-01 9.640767870592955E+04 19 4.375000000000000E-01 1.007623945534717E+05 20 4.625000000000000E-01 1.039466222847915E+05 21 4.875000000000000E-01 1.046439237999322E+05 22 5.000000000000000E-01 1.049925745575026E+05 2.804027787621867E+03 = mínimo 3.750000000000001E-02 = X (m) 1.049925745575026E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 2.000001794514423E+06 2 1.250000000000000E-02 2.000651291401552E+06 3 3.750000000000001E-02 2.000054475026576E+06 4 6.250000000000000E-02 2.000658567867851E+06 5 8.750000000000001E-02 2.000042626105628E+06 6 1.125000000000000E-01 2.000675364064378E+06 7 1.375000000000000E-01 2.000079401740925E+06 8 1.625000000000000E-01 2.001159844742712E+06 9 1.875000000000000E-01 2.001102416155449E+06 10 2.125000000000000E-01 2.005987806708062E+06 11 2.375000000000000E-01 2.012957026287670E+06 12 2.625000000000000E-01 2.034425283022386E+06 13 2.875000000000000E-01 2.024074016444579E+06 14 3.125000000000000E-01 1.942694578971972E+06 15 3.375000000000000E-01 1.808581505528205E+06 16 3.625000000000000E-01 1.774716382670272E+06 17 3.875000000000000E-01 1.737581653351646E+06 18 4.125000000000000E-01 1.784131499086468E+06 19 4.375000000000000E-01 1.757879921960495E+06 20 4.625000000000000E-01 1.766439234476187E+06 21 4.875000000000000E-01 1.761305150499001E+06 22 5.000000000000000E-01 1.757051236899242E+06 1.737581653351646E+06 = mínimo 3.875000000000000E-01 = X (m) 2.034425283022386E+06 = máximo 2.625000000000000E-01 = X (m) *** temperatura de estagnação *** ponto x (m) T_estagnação (K) 1 0.000000000000000E+00 3.420058833442268E+03 2 1.250000000000000E-02 3.116544725891602E+03 3 3.750000000000001E-02 3.116890607710719E+03 4 6.250000000000000E-02 3.113426754891154E+03 5 8.750000000000001E-02 3.115754010175119E+03 6 1.125000000000000E-01 3.112359149179355E+03 7 1.375000000000000E-01 3.114731928299168E+03 8 1.625000000000000E-01 3.111548744512783E+03 9 1.875000000000000E-01 3.114322044105234E+03 10 2.125000000000000E-01 3.114275288304801E+03 11 2.375000000000000E-01 3.125371644851603E+03 12 2.625000000000000E-01 3.147112292461280E+03 13 2.875000000000000E-01 3.201964085083510E+03 14 3.125000000000000E-01 3.292570302084524E+03 15 3.375000000000000E-01 3.428890131972162E+03 16 3.625000000000000E-01 3.572890648624756E+03 17 3.875000000000000E-01 3.671205720793646E+03 18 4.125000000000000E-01 3.727040555135452E+03 19 4.375000000000000E-01 3.768752752745847E+03 20 4.625000000000000E-01 3.799785069950366E+03 21 4.875000000000000E-01 3.809078316788789E+03 22 5.000000000000000E-01 3.813833193682625E+03 3.111548744512783E+03 = mínimo 1.625000000000000E-01 = X (m) 3.813833193682625E+03 = máximo 5.000000000000000E-01 = X (m)