MACH1D 5.0, PROPRIEDADES CONSTANTES, N = 20 Dia = (13/8/2010) Hora = 14:6:32 *** 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 *** 1.023516075747430E+00 = coeficiente de descarga 1.032446356178897E+00 = empuxo 1.008725100311635E+00 = velocidade de ejeção dos gases 9.770242243334996E-01 = velocidade característica (m/s) 1.032446356178897E+00 = coeficiente de empuxo 1.008725100311635E+00 = impulso específico 1.681697907869618E+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 6.753072975527025E-02 2 1.250000000000000E-02 6.655865488485316E-02 3 3.750000000000001E-02 6.434314671930598E-02 4 6.250000000000000E-02 7.012499883919604E-02 5 8.750000000000001E-02 6.614898950369831E-02 6 1.125000000000000E-01 7.139095470166976E-02 7 1.375000000000000E-01 7.419135328048700E-02 8 1.625000000000000E-01 9.687574620230943E-02 9 1.875000000000000E-01 1.286715921597351E-01 10 2.125000000000000E-01 1.990153280031346E-01 11 2.375000000000000E-01 3.110250349823568E-01 12 2.625000000000000E-01 5.087622808591499E-01 13 2.875000000000000E-01 7.888980755177704E-01 14 3.125000000000000E-01 1.168746563597287E+00 15 3.375000000000000E-01 1.607574071052934E+00 16 3.625000000000000E-01 2.083220285126708E+00 17 3.875000000000000E-01 2.474414316892473E+00 18 4.125000000000000E-01 2.804565854628172E+00 19 4.375000000000000E-01 3.016371395051805E+00 20 4.625000000000000E-01 3.188908934620812E+00 21 4.875000000000000E-01 3.228937442174471E+00 22 5.000000000000000E-01 3.249189561497573E+00 6.434314671930598E-02 = mínimo 3.750000000000001E-02 = X (m) 3.249189561497573E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994556224095428E+06 2 1.250000000000000E-02 1.995045876030542E+06 3 3.750000000000001E-02 1.994736541612419E+06 4 6.250000000000000E-02 1.994472389739120E+06 5 8.750000000000001E-02 1.994445554541430E+06 6 1.125000000000000E-01 1.994268826353272E+06 7 1.375000000000000E-01 1.993132975850920E+06 8 1.625000000000000E-01 1.989669730520720E+06 9 1.875000000000000E-01 1.981045422119195E+06 10 2.125000000000000E-01 1.959061303459767E+06 11 2.375000000000000E-01 1.900365646275519E+06 12 2.625000000000000E-01 1.747712697586940E+06 13 2.875000000000000E-01 1.413831708259851E+06 14 3.125000000000000E-01 9.136807130177247E+05 15 3.375000000000000E-01 4.748952405987282E+05 16 3.625000000000000E-01 2.263704983192245E+05 17 3.875000000000000E-01 1.152027654011260E+05 18 4.125000000000000E-01 6.563882287630731E+04 19 4.375000000000000E-01 4.424449843321631E+04 20 4.625000000000000E-01 3.253038860394095E+04 21 4.875000000000000E-01 3.023702068561146E+04 22 5.000000000000000E-01 2.909033672644671E+04 2.909033672644671E+04 = mínimo 5.000000000000000E-01 = X (m) 1.995045876030542E+06 = máximo 1.250000000000000E-02 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.418805188724062E+03 2 1.250000000000000E-02 3.411824367942954E+03 3 3.750000000000001E-02 3.425970988850437E+03 4 6.250000000000000E-02 3.411670981299155E+03 5 8.750000000000001E-02 3.425886344008596E+03 6 1.125000000000000E-01 3.411615008152487E+03 7 1.375000000000000E-01 3.425502603372957E+03 8 1.625000000000000E-01 3.410351611939683E+03 9 1.875000000000000E-01 3.421978435753503E+03 10 2.125000000000000E-01 3.401591796244740E+03 11 2.375000000000000E-01 3.397905386068192E+03 12 2.625000000000000E-01 3.338507524598310E+03 13 2.875000000000000E-01 3.243802027444890E+03 14 3.125000000000000E-01 3.031329597895255E+03 15 3.375000000000000E-01 2.748543039442716E+03 16 3.625000000000000E-01 2.407188269291546E+03 17 3.875000000000000E-01 2.143282591919758E+03 18 4.125000000000000E-01 1.933870929798740E+03 19 4.375000000000000E-01 1.810534914826249E+03 20 4.625000000000000E-01 1.714877841521993E+03 21 4.875000000000000E-01 1.693512159190003E+03 22 5.000000000000000E-01 1.682829318024008E+03 1.682829318024008E+03 = mínimo 5.000000000000000E-01 = X (m) 3.425970988850437E+03 = máximo 3.750000000000001E-02 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.911160729845584E+01 2 1.250000000000000E-02 9.758515785318843E+01 3 3.750000000000001E-02 9.453225896265317E+01 4 6.250000000000000E-02 1.028116518591973E+02 5 8.750000000000001E-02 9.718418317618826E+01 6 1.125000000000000E-01 1.046668362496390E+02 7 1.375000000000000E-01 1.089936867349944E+02 8 1.625000000000000E-01 1.420039871964479E+02 9 1.875000000000000E-01 1.889327335720351E+02 10 2.125000000000000E-01 2.913489944683432E+02 11 2.375000000000000E-01 4.550790969932715E+02 12 2.625000000000000E-01 7.378651258008713E+02 13 2.875000000000000E-01 1.127804871549828E+03 14 3.125000000000000E-01 1.615187057901128E+03 15 3.375000000000000E-01 2.115476293231960E+03 16 3.625000000000000E-01 2.565524250059737E+03 17 3.875000000000000E-01 2.875398469351240E+03 18 4.125000000000000E-01 3.095745739378464E+03 19 4.375000000000000E-01 3.221618903195174E+03 20 4.625000000000000E-01 3.314702919362137E+03 21 4.875000000000000E-01 3.335336757766648E+03 22 5.000000000000000E-01 3.345653676968903E+03 9.453225896265317E+01 = mínimo 3.750000000000001E-02 = X (m) 3.345653676968903E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.107097924961310E+00 2 1.250000000000000E-02 1.109635463523967E+00 3 3.750000000000001E-02 1.104882183928997E+00 4 6.250000000000000E-02 1.109366367242995E+00 5 8.750000000000001E-02 1.104748301353772E+00 6 1.125000000000000E-01 1.109271340240492E+00 7 1.375000000000000E-01 1.104144925187639E+00 8 1.625000000000000E-01 1.107123179140137E+00 9 1.875000000000000E-01 1.098578949562783E+00 10 2.125000000000000E-01 1.092898774469210E+00 11 2.375000000000000E-01 1.061304479205669E+00 12 2.625000000000000E-01 9.934174633739342E-01 13 2.875000000000000E-01 8.270989788928858E-01 14 3.125000000000000E-01 5.719728382761701E-01 15 3.375000000000000E-01 3.278758151078686E-01 16 3.625000000000000E-01 1.784530095910435E-01 17 3.875000000000000E-01 1.019993903201884E-01 18 4.125000000000000E-01 6.440912616625377E-02 19 4.375000000000000E-01 4.637313747789159E-02 20 4.625000000000000E-01 3.599732016559522E-02 21 4.875000000000000E-01 3.388166826729236E-02 22 5.000000000000000E-01 3.280369662693799E-02 3.280369662693799E-02 = mínimo 5.000000000000000E-01 = X (m) 1.109635463523967E+00 = máximo 1.250000000000000E-02 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 3.074889303038708E+03 2 1.250000000000000E-02 3.027531953089292E+03 3 3.750000000000001E-02 2.932817253190445E+03 4 6.250000000000000E-02 3.189681381895123E+03 5 8.750000000000001E-02 3.015091909196305E+03 6 1.125000000000000E-01 3.247237573271937E+03 7 1.375000000000000E-01 3.381476000393828E+03 8 1.625000000000000E-01 4.405604480858886E+03 9 1.875000000000000E-01 5.861545961060851E+03 10 2.125000000000000E-01 9.038960531071420E+03 11 2.375000000000000E-01 1.411860714928520E+04 12 2.625000000000000E-01 2.289190584487432E+04 13 2.875000000000000E-01 3.498959637492974E+04 14 3.125000000000000E-01 5.011039112493657E+04 15 3.375000000000000E-01 6.563162077780445E+04 16 3.625000000000000E-01 7.959413925595772E+04 17 3.875000000000000E-01 8.920783585677712E+04 18 4.125000000000000E-01 9.604400249788708E+04 19 4.375000000000000E-01 9.994915604659427E+04 20 4.625000000000000E-01 1.028370422730155E+05 21 4.875000000000000E-01 1.034771970512505E+05 22 5.000000000000000E-01 1.037972744403680E+05 2.932817253190445E+03 = mínimo 3.750000000000001E-02 = X (m) 1.037972744403680E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 2.000000000000000E+06 2 1.250000000000000E-02 2.000335184271562E+06 3 3.750000000000001E-02 1.999678459932219E+06 4 6.250000000000000E-02 2.000342734525439E+06 5 8.750000000000001E-02 1.999668309230184E+06 6 1.125000000000000E-01 2.000352688712908E+06 7 1.375000000000000E-01 1.999700420612635E+06 8 1.625000000000000E-01 2.000858596330653E+06 9 1.875000000000000E-01 2.000733963753358E+06 10 2.125000000000000E-01 2.005907981968954E+06 11 2.375000000000000E-01 2.012954600640917E+06 12 2.625000000000000E-01 2.036262105165295E+06 13 2.875000000000000E-01 2.028846174273417E+06 14 3.125000000000000E-01 1.966343721610341E+06 15 3.375000000000000E-01 1.882689924797839E+06 16 3.625000000000000E-01 1.967673215887029E+06 17 3.875000000000000E-01 2.028400594043569E+06 18 4.125000000000000E-01 2.146707938233553E+06 19 4.375000000000000E-01 2.165161726935101E+06 20 4.625000000000000E-01 2.213466440326503E+06 21 4.875000000000000E-01 2.221022819575816E+06 22 5.000000000000000E-01 2.221131136828522E+06 1.882689924797839E+06 = mínimo 3.375000000000000E-01 = X (m) 2.221131136828522E+06 = máximo 5.000000000000000E-01 = X (m) *** temperatura de estagnação *** ponto x (m) T_estagnação (K) 1 0.000000000000000E+00 3.420330000000000E+03 2 1.250000000000000E-02 3.413302572696402E+03 3 3.750000000000001E-02 3.427358150675949E+03 4 6.250000000000000E-02 3.413311766500836E+03 5 8.750000000000001E-02 3.427352425915780E+03 6 1.125000000000000E-01 3.413315541882506E+03 7 1.375000000000000E-01 3.427346640847014E+03 8 1.625000000000000E-01 3.413481783447300E+03 9 1.875000000000000E-01 3.427519350562323E+03 10 2.125000000000000E-01 3.414768115337443E+03 11 2.375000000000000E-01 3.430052414317386E+03 12 2.625000000000000E-01 3.423020039502226E+03 13 2.875000000000000E-01 3.441241957698847E+03 14 3.125000000000000E-01 3.436290139513402E+03 15 3.375000000000000E-01 3.443220778660924E+03 16 3.625000000000000E-01 3.428878650569761E+03 17 3.875000000000000E-01 3.426685830860255E+03 18 4.125000000000000E-01 3.421510166185710E+03 19 4.375000000000000E-01 3.421608534138635E+03 20 4.625000000000000E-01 3.420395726998218E+03 21 4.875000000000000E-01 3.420329638313828E+03 22 5.000000000000000E-01 3.420346160484924E+03 3.413302572696402E+03 = mínimo 1.250000000000000E-02 = X (m) 3.443220778660924E+03 = máximo 3.375000000000000E-01 = X (m)