MACH1D 5.0, CONGELADO, monogás, prop. variáveis, numérico, N = 20 Dia = (10/1/2006) Hora = 10:58:32 *** 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 *** 1.085531043100346E+00 = coeficiente de descarga 1.036235255799682E+00 = empuxo 9.545883209752597E-01 = velocidade de ejeção dos gases 9.212081094833880E-01 = velocidade característica (m/s) 1.036235255799682E+00 = coeficiente de empuxo 9.545883209752597E-01 = impulso específico 1.617597578783033E+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 6.784357698868808E-02 2 1.250000000000000E-02 6.678394995274192E-02 3 3.750000000000001E-02 6.433547198474418E-02 4 6.250000000000000E-02 7.068918618920769E-02 5 8.750000000000001E-02 6.628244457078822E-02 6 1.125000000000000E-01 7.191701186531861E-02 7 1.375000000000000E-01 7.432570646360064E-02 8 1.625000000000000E-01 9.753023493702226E-02 9 1.875000000000000E-01 1.290568079311170E-01 10 2.125000000000000E-01 2.001820992512775E-01 11 2.375000000000000E-01 3.122299580395885E-01 12 2.625000000000000E-01 5.112946222111583E-01 13 2.875000000000000E-01 7.909310318596409E-01 14 3.125000000000000E-01 1.169203523466941E+00 15 3.375000000000000E-01 1.598375142292810E+00 16 3.625000000000000E-01 2.060982763307249E+00 17 3.875000000000000E-01 2.438825509383444E+00 18 4.125000000000000E-01 2.760360588571879E+00 19 4.375000000000000E-01 2.967018159883074E+00 20 4.625000000000000E-01 3.136426073607566E+00 21 4.875000000000000E-01 3.175936264821613E+00 22 5.000000000000000E-01 3.195281039377700E+00 6.433547198474418E-02 = mínimo 3.750000000000001E-02 = X (m) 3.195281039377700E+00 = máximo 5.000000000000000E-01 = X (m) *** pressão *** ponto x (m) p (Pa) 1 0.000000000000000E+00 1.994637334589706E+06 2 1.250000000000000E-02 1.995164015964455E+06 3 3.750000000000001E-02 1.994831530163624E+06 4 6.250000000000000E-02 1.994548311258178E+06 5 8.750000000000001E-02 1.994523792328311E+06 6 1.125000000000000E-01 1.994354738060214E+06 7 1.375000000000000E-01 1.993236117296410E+06 8 1.625000000000000E-01 1.989822625480527E+06 9 1.875000000000000E-01 1.981323194035137E+06 10 2.125000000000000E-01 1.959651097983222E+06 11 2.375000000000000E-01 1.901750272408422E+06 12 2.625000000000000E-01 1.750974488330367E+06 13 2.875000000000000E-01 1.420481699095254E+06 14 3.125000000000000E-01 9.233410683441961E+05 15 3.375000000000000E-01 4.847204706961567E+05 16 3.625000000000000E-01 2.332524041075122E+05 17 3.875000000000000E-01 1.193770886550640E+05 18 4.125000000000000E-01 6.810538825229148E+04 19 4.375000000000000E-01 4.584356663216103E+04 20 4.625000000000000E-01 3.366219945584112E+04 21 4.875000000000000E-01 3.126567729723697E+04 22 5.000000000000000E-01 3.006741621793502E+04 3.006741621793502E+04 = mínimo 5.000000000000000E-01 = X (m) 1.995164015964455E+06 = máximo 1.250000000000000E-02 = X (m) *** temperatura *** ponto x (m) T (K) 1 0.000000000000000E+00 3.418827933448404E+03 2 1.250000000000000E-02 3.410028711792287E+03 3 3.750000000000001E-02 3.427801060819078E+03 4 6.250000000000000E-02 3.409885374316975E+03 5 8.750000000000001E-02 3.427722481477381E+03 6 1.125000000000000E-01 3.409838946615066E+03 7 1.375000000000000E-01 3.427392241749018E+03 8 1.625000000000000E-01 3.408753170109268E+03 9 1.875000000000000E-01 3.424347033157471E+03 10 2.125000000000000E-01 3.401212144621833E+03 11 2.375000000000000E-01 3.403537417169995E+03 12 2.625000000000000E-01 3.346686244350543E+03 13 2.875000000000000E-01 3.269516305790134E+03 14 3.125000000000000E-01 3.077512758264417E+03 15 3.375000000000000E-01 2.828134621445468E+03 16 3.625000000000000E-01 2.507025077469743E+03 17 3.875000000000000E-01 2.251877000660262E+03 18 4.125000000000000E-01 2.037692582261051E+03 19 4.375000000000000E-01 1.909223188327659E+03 20 4.625000000000000E-01 1.806716643571560E+03 21 4.875000000000000E-01 1.783589605542160E+03 22 5.000000000000000E-01 1.772026086527460E+03 1.772026086527460E+03 = mínimo 5.000000000000000E-01 = X (m) 3.427801060819078E+03 = máximo 3.750000000000001E-02 = X (m) *** velocidade nodal *** ponto x (m) u (m/s) 1 0.000000000000000E+00 9.205893262444653E+01 2 1.250000000000000E-02 9.051032646101089E+01 3 3.750000000000001E-02 8.741311413414016E+01 4 6.250000000000000E-02 9.580101638950150E+01 5 8.750000000000001E-02 9.005747505798219E+01 6 1.125000000000000E-01 9.746437182344260E+01 7 1.375000000000000E-01 1.009810549055368E+02 8 1.625000000000000E-01 1.321557718201152E+02 9 1.875000000000000E-01 1.752643761266103E+02 10 2.125000000000000E-01 2.709589514067571E+02 11 2.375000000000000E-01 4.227634500507214E+02 12 2.625000000000000E-01 6.866435738014056E+02 13 2.875000000000000E-01 1.050192830866468E+03 14 3.125000000000000E-01 1.507499088948990E+03 15 3.375000000000000E-01 1.978290641616438E+03 16 3.625000000000000E-01 2.407167023485495E+03 17 3.875000000000000E-01 2.706056087206031E+03 18 4.125000000000000E-01 2.920830876086519E+03 19 4.375000000000000E-01 3.044344782198190E+03 20 4.625000000000000E-01 3.135602213157273E+03 21 4.875000000000000E-01 3.155932343436566E+03 22 5.000000000000000E-01 3.166097408576213E+03 8.741311413414016E+01 = mínimo 3.750000000000001E-02 = X (m) 3.166097408576213E+03 = máximo 5.000000000000000E-01 = X (m) *** massa específica *** ponto x (m) ro (kg/m3) 1 0.000000000000000E+00 1.264128016204177E+00 2 1.250000000000000E-02 1.267724618705731E+00 3 3.750000000000001E-02 1.260941596526117E+00 4 6.250000000000000E-02 1.267386674190337E+00 5 8.750000000000001E-02 1.260775976302531E+00 6 1.125000000000000E-01 1.267280927677022E+00 7 1.375000000000000E-01 1.260083413907643E+00 8 1.625000000000000E-01 1.264803813594018E+00 9 1.875000000000000E-01 1.253666177273853E+00 10 2.125000000000000E-01 1.248387439851014E+00 11 2.375000000000000E-01 1.210674274399422E+00 12 2.625000000000000E-01 1.133624377152952E+00 13 2.875000000000000E-01 9.413616283612342E-01 14 3.125000000000000E-01 6.500797634970017E-01 15 3.375000000000000E-01 3.713604414111817E-01 16 3.625000000000000E-01 2.015913099741563E-01 17 3.875000000000000E-01 1.148631373576483E-01 18 4.125000000000000E-01 7.241810647216694E-02 19 4.375000000000000E-01 5.202667299361054E-02 20 4.625000000000000E-01 4.036981880341942E-02 21 4.875000000000000E-01 3.798195062577742E-02 22 5.000000000000000E-01 3.676464315722473E-02 3.676464315722473E-02 = mínimo 5.000000000000000E-01 = X (m) 1.267724618705731E+00 = máximo 1.250000000000000E-02 = X (m) *** empuxo dinâmico *** ponto x (m) Fd (N) 1 0.000000000000000E+00 3.029133967110951E+03 2 1.250000000000000E-02 2.978178178274284E+03 3 3.750000000000001E-02 2.876266600600968E+03 4 6.250000000000000E-02 3.152264582656371E+03 5 8.750000000000001E-02 2.963277423639597E+03 6 1.125000000000000E-01 3.206996114955189E+03 7 1.375000000000000E-01 3.322710080692686E+03 8 1.625000000000000E-01 4.348492057833938E+03 9 1.875000000000000E-01 5.766950146113721E+03 10 2.125000000000000E-01 8.915712359465435E+03 11 2.375000000000000E-01 1.391073185505939E+04 12 2.625000000000000E-01 2.259352040486248E+04 13 2.875000000000000E-01 3.455585118471442E+04 14 3.125000000000000E-01 4.960318966930507E+04 15 3.375000000000000E-01 6.509425221976495E+04 16 3.625000000000000E-01 7.920612576614821E+04 17 3.875000000000000E-01 8.904085868671481E+04 18 4.125000000000000E-01 9.610787097688562E+04 19 4.375000000000000E-01 1.001720085651381E+05 20 4.625000000000000E-01 1.031747696877023E+05 21 4.875000000000000E-01 1.038437182234845E+05 22 5.000000000000000E-01 1.041781924913756E+05 2.876266600600968E+03 = mínimo 3.750000000000001E-02 = X (m) 1.041781924913756E+05 = máximo 5.000000000000000E-01 = X (m) *** pressão de estagnação *** ponto x (m) p_estagnação (Pa) 1 0.000000000000000E+00 2.000000148167880E+06 2 1.250000000000000E-02 2.000362485100662E+06 3 3.750000000000001E-02 1.999653978443944E+06 4 6.250000000000000E-02 2.000371514522033E+06 5 8.750000000000001E-02 1.999642077676192E+06 6 1.125000000000000E-01 2.000381669738090E+06 7 1.375000000000000E-01 1.999669641604864E+06 8 1.625000000000000E-01 2.000893918502652E+06 9 1.875000000000000E-01 2.000658364133023E+06 10 2.125000000000000E-01 2.005940295196117E+06 11 2.375000000000000E-01 2.012614332692531E+06 12 2.625000000000000E-01 2.036327741635242E+06 13 2.875000000000000E-01 2.028200038869589E+06 14 3.125000000000000E-01 1.967921990385760E+06 15 3.375000000000000E-01 1.877345209889716E+06 16 3.625000000000000E-01 1.947572026737131E+06 17 3.875000000000000E-01 1.979166933909918E+06 18 4.125000000000000E-01 2.061280530521011E+06 19 4.375000000000000E-01 2.044784398389742E+06 20 4.625000000000000E-01 2.057592429306338E+06 21 4.875000000000000E-01 2.055694273471325E+06 22 5.000000000000000E-01 2.046141757660155E+06 1.877345209889716E+06 = mínimo 3.375000000000000E-01 = X (m) 2.061280530521011E+06 = máximo 4.125000000000000E-01 = X (m) *** temperatura de estagnação *** ponto x (m) T_estagnação (K) 1 0.000000000000000E+00 3.420141270108821E+03 2 1.250000000000000E-02 3.411299230353559E+03 3 3.750000000000001E-02 3.428985176242431E+03 4 6.250000000000000E-02 3.411308776987492E+03 5 8.750000000000001E-02 3.428979326984192E+03 6 1.125000000000000E-01 3.411312209415593E+03 7 1.375000000000000E-01 3.428972501654315E+03 8 1.625000000000000E-01 3.411462000874732E+03 9 1.875000000000000E-01 3.429107994438569E+03 10 2.125000000000000E-01 3.412603200834175E+03 11 2.375000000000000E-01 3.431264636886493E+03 12 2.625000000000000E-01 3.420020979458946E+03 13 2.875000000000000E-01 3.441704991941654E+03 14 3.125000000000000E-01 3.435978471318237E+03 15 3.375000000000000E-01 3.455360732741189E+03 16 3.625000000000000E-01 3.460043903928708E+03 17 3.875000000000000E-01 3.488133016293847E+03 18 4.125000000000000E-01 3.516952530473371E+03 19 4.375000000000000E-01 3.546244225103683E+03 20 4.625000000000000E-01 3.571863833174283E+03 21 4.875000000000000E-01 3.578643703134646E+03 22 5.000000000000000E-01 3.585818544828961E+03 3.411299230353559E+03 = mínimo 1.250000000000000E-02 = X (m) 3.585818544828961E+03 = máximo 5.000000000000000E-01 = X (m)