Моделирование малоразмерного ГТД
作者
Параметры модели
In [ ]:
k_v = 1.4; # Показатель адиабаты
R_v = 287.0; # Газовая постоянная, Дж/(кг*К)
I = 8.8e-4; # Момент инерции ротора, кг*м^2
l_ks = 0.1; # Длина камеры сгорания, м
d_vn = 0.05; # Внутренний диаметр камеры сгорания, м
d_nar = 0.2; # Внешний диаметр камеры сгорания, м
F_s = 0.004; # Площадь критики сопла, м^2
# Расчёт объема камеры сгорания
F_ks = pi*(d_nar-d_vn)^2/4;
V_ks = F_ks*l_ks;
sig_vh = 0.99; # Потери давления во входном устройстве
sig_g = 0.955; # Потери давления в камере сгорания
sig_s = 0.95; # Потери давления в сопле
fi_s = 0.98; # Потери скорости в сопле
kpd_gor = 0.98; # КПД горения топлива
Hu = 42.915e6; # Удельная теплота сгорания керосина
L0 = 14.627; # Стехиометрическое соотношение
Расходные характеристики и КПД компрессора и турбины
In [ ]:
n_pr_komp = [0.0, 568.0, 853.0, 996.0, 1138.0, 1279.0, 1422.0, 1558.0];
pi_komp = [1.0:0.1:4.0;];
G_komp =[
0.0 0.31962 0.44331 0.50642 0.59011 0.68444 0.75125 0.79550;
0.0 0.28803 0.43853 0.50642 0.59007 0.68347 0.75091 0.79515;
0.0 0.24813 0.43375 0.50642 0.59003 0.68250 0.75058 0.79480;
0.0 0.18453 0.42897 0.50642 0.58999 0.68153 0.75024 0.79445;
0.0 0.12093 0.41940 0.50642 0.58995 0.68056 0.74990 0.79410;
0.0 0.05733 0.40490 0.50591 0.58991 0.67959 0.74957 0.79376;
0.0 0.0 0.38030 0.50057 0.58987 0.67862 0.74923 0.79341;
0.0 0.0 0.33760 0.49427 0.58983 0.67765 0.74890 0.79306;
0.0 0.0 0.24560 0.47893 0.58955 0.67668 0.74856 0.79271;
0.0 0.0 0.15360 0.46197 0.58705 0.67571 0.74823 0.79237;
0.0 0.0 0.06160 0.42935 0.58375 0.67474 0.74789 0.79202;
0.0 0.0 0.0 0.35203 0.57330 0.67377 0.74756 0.79167;
0.0 0.0 0.0 0.15528 0.56285 0.67280 0.74722 0.79132;
0.0 0.0 0.0 0.0 0.55240 0.67183 0.74689 0.79098;
0.0 0.0 0.0 0.0 0.52402 0.67086 0.74655 0.79063;
0.0 0.0 0.0 0.0 0.48465 0.66973 0.74622 0.79028;
0.0 0.0 0.0 0.0 0.32778 0.66253 0.74588 0.78993;
0.0 0.0 0.0 0.0 0.12761 0.65533 0.74555 0.78959;
0.0 0.0 0.0 0.0 0.0 0.64812 0.74521 0.78924;
0.0 0.0 0.0 0.0 0.0 0.62713 0.74488 0.78889;
0.0 0.0 0.0 0.0 0.0 0.60102 0.74454 0.78854;
0.0 0.0 0.0 0.0 0.0 0.56006 0.74240 0.78820;
0.0 0.0 0.0 0.0 0.0 0.48817 0.73987 0.78785;
0.0 0.0 0.0 0.0 0.0 0.0 0.73733 0.78750;
0.0 0.0 0.0 0.0 0.0 0.0 0.73154 0.78715;
0.0 0.0 0.0 0.0 0.0 0.0 0.71889 0.78681;
0.0 0.0 0.0 0.0 0.0 0.0 0.70624 0.78646;
0.0 0.0 0.0 0.0 0.0 0.0 0.69359 0.78611;
0.0 0.0 0.0 0.0 0.0 0.0 0.68094 0.78576;
0.0 0.0 0.0 0.0 0.0 0.0 0.64638 0.78541;
0.0 0.0 0.0 0.0 0.0 0.0 0.59540 0.78507];
G_komp_nu = [0.0:0.1:1.0;];
nu_komp = [
0.93499 0.50000 0.50000 0.50000 0.50000 0.50000 0.50000 0.50000;
0.35831 0.62657 0.59668 0.58670 0.56296 0.55230 0.54030 0.53243;
0.35831 0.75309 0.69336 0.67341 0.62592 0.60461 0.58060 0.56486;
0.35831 0.61460 0.79004 0.76011 0.68888 0.65692 0.62090 0.59729;
0.35831 0.61460 0.74580 0.80893 0.75184 0.70923 0.66120 0.62973;
0.35831 0.61460 0.74580 0.58278 0.79524 0.76154 0.70150 0.66216;
0.35831 0.61460 0.74580 0.58278 0.79524 0.77830 0.74180 0.69459;
0.35831 0.61460 0.74580 0.58278 0.79524 0.77830 0.74987 0.72365;
0.35831 0.61460 0.74580 0.58278 0.79524 0.77830 0.74987 0.72365;
0.35831 0.61460 0.74580 0.58278 0.79524 0.77830 0.74987 0.72365;
0.35831 0.61460 0.74580 0.58278 0.79524 0.77830 0.74987 0.72365];
n_pr_turb = [0.0, 382.0, 535.0, 687.0, 764.0, 837.0];
pi_turb = [1.0:0.1:7.0;];
G_turb = [
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 ;
0.0 0.11000 0.22000 0.24080 0.26160 0.28240 0.29645 0.30376 0.30605 0.30834 0.31062 0.31151 0.31202 0.31252 0.31303 0.31353 0.31403 0.31454 0.31504 0.31554 0.31605 0.31655 0.31705 0.31756 0.31806 0.31833 0.31835 0.31836 0.31838 0.31840 0.31842 0.31844 0.31846 0.31847 0.31849 0.31851 0.31853 0.31855 0.31856 0.31856 0.31857 0.31857 0.31857 0.31858 0.31858 0.31859 0.31859 0.31860 0.31860 0.31860 0.31861 0.31861 0.31862 0.31862 0.31862 0.31863 0.31863 0.31864 0.31864 0.31864 0.31865;
0.0 0.11249 0.22498 0.24654 0.26811 0.28967 0.30023 0.30543 0.30904 0.31196 0.31488 0.31567 0.31601 0.31635 0.31669 0.31703 0.31737 0.31772 0.31806 0.31840 0.31874 0.31908 0.31942 0.31977 0.32011 0.32027 0.32029 0.32030 0.32031 0.32032 0.32033 0.32034 0.32035 0.32036 0.32037 0.32038 0.32039 0.32040 0.32041 0.32041 0.32041 0.32041 0.32041 0.32041 0.32042 0.32042 0.32042 0.32042 0.32042 0.32042 0.32042 0.32042 0.32043 0.32043 0.32043 0.32043 0.32043 0.32043 0.32043 0.32043 0.32044;
0.0 0.10999 0.21998 0.24332 0.26666 0.29000 0.30125 0.30678 0.31058 0.31312 0.31566 0.31637 0.31671 0.31705 0.31739 0.31773 0.31807 0.31841 0.31875 0.31909 0.31943 0.31977 0.32011 0.32045 0.32079 0.32097 0.32097 0.32098 0.32099 0.32099 0.32100 0.32101 0.32101 0.32102 0.32103 0.32104 0.32104 0.32105 0.32106 0.32106 0.32107 0.32108 0.32109 0.32110 0.32111 0.32111 0.32112 0.32113 0.32114 0.32115 0.32116 0.32116 0.32117 0.32118 0.32119 0.32120 0.32120 0.32121 0.32122 0.32123 0.32124;
0.0 0.10750 0.21500 0.23994 0.26488 0.28982 0.30158 0.30724 0.31102 0.31345 0.31589 0.31658 0.31693 0.31727 0.31761 0.31795 0.31830 0.31864 0.31898 0.31932 0.31967 0.32001 0.32035 0.32069 0.32104 0.32121 0.32121 0.32121 0.32121 0.32121 0.32121 0.32121 0.32121 0.32121 0.32121 0.32121 0.32121 0.32121 0.32121 0.32122 0.32122 0.32122 0.32123 0.32123 0.32123 0.32124 0.32124 0.32124 0.32125 0.32125 0.32125 0.32126 0.32126 0.32126 0.32127 0.32127 0.32127 0.32128 0.32128 0.32129 0.32129;
0.0 0.10800 0.21600 0.24086 0.26572 0.29057 0.30254 0.30825 0.31203 0.31446 0.31689 0.31759 0.31793 0.31827 0.31861 0.31896 0.31930 0.31964 0.31998 0.32033 0.32067 0.32101 0.32135 0.32169 0.32204 0.32221 0.32221 0.32221 0.32221 0.32221 0.32221 0.32221 0.32221 0.32221 0.32221 0.32221 0.32221 0.32221 0.32221 0.32222 0.32222 0.32222 0.32223 0.32223 0.32223 0.32224 0.32224 0.32224 0.32225 0.32225 0.32226 0.32226 0.32226 0.32227 0.32227 0.32227 0.32228 0.32228 0.32228 0.32229 0.32229;
];
nu_turb=[
0.63621 0.59400 0.55179 0.50957 0.46736 0.42515 0.33126 0.31656 0.30186 0.28715 0.27245 0.26252 0.25490 0.24729 0.23967 0.23205 0.22443 0.21681 0.20919 0.20157 0.19395 0.18633 0.17871 0.17109 0.16348 0.15819 0.15649 0.15480 0.15310 0.15140 0.14971 0.14801 0.14631 0.14462 0.14292 0.14122 0.13953 0.13783 0.13625 0.13538 0.13451 0.13364 0.13277 0.13190 0.13103 0.13016 0.12929 0.12842 0.12755 0.12668 0.12581 0.12494 0.12407 0.12320 0.12233 0.12146 0.12059 0.11972 0.11885 0.11798 0.11711;
0.50000 0.68320 0.70625 0.68902 0.67179 0.65456 0.63335 0.61014 0.59854 0.58694 0.57534 0.56739 0.56045 0.55350 0.54655 0.53961 0.53266 0.52572 0.51877 0.51182 0.50488 0.49793 0.49098 0.48404 0.47709 0.47147 0.46724 0.46301 0.45877 0.45454 0.45031 0.44608 0.44184 0.43761 0.43338 0.42914 0.42491 0.42068 0.41691 0.41392 0.41093 0.40795 0.40496 0.40197 0.39898 0.39600 0.39301 0.39002 0.38703 0.38404 0.38106 0.37807 0.37508 0.37209 0.36911 0.36612 0.36313 0.36014 0.35715 0.35417 0.35118;
0.50000 0.61981 0.73963 0.74123 0.74246 0.74370 0.73683 0.72597 0.71585 0.70626 0.69668 0.68943 0.68276 0.67608 0.66940 0.66272 0.65604 0.64936 0.64269 0.63601 0.62933 0.62265 0.61597 0.60930 0.60262 0.59669 0.59142 0.58616 0.58090 0.57563 0.57037 0.56511 0.55984 0.55458 0.54932 0.54405 0.53879 0.53353 0.52899 0.52526 0.52153 0.51781 0.51408 0.51035 0.50663 0.50290 0.49917 0.49545 0.49172 0.48799 0.48427 0.48054 0.47681 0.47308 0.46936 0.46563 0.46190 0.45818 0.45445 0.45072 0.44700;
0.50000 0.57983 0.65967 0.73951 0.75323 0.76656 0.77988 0.77659 0.77323 0.76987 0.76650 0.76218 0.75766 0.75314 0.74862 0.74410 0.73957 0.73505 0.72911 0.72231 0.71552 0.70872 0.70193 0.69513 0.68834 0.68206 0.67628 0.67051 0.66474 0.65896 0.65319 0.64741 0.64164 0.63587 0.63009 0.62432 0.61854 0.61277 0.60766 0.60352 0.59937 0.59523 0.59108 0.58693 0.58279 0.57864 0.57449 0.57035 0.56620 0.56206 0.55791 0.55376 0.54962 0.54547 0.54132 0.53718 0.53303 0.52889 0.52474 0.52059 0.51645;
0.50000 0.54486 0.58972 0.63458 0.67944 0.72430 0.74425 0.75269 0.76111 0.76950 0.77790 0.77714 0.77439 0.77163 0.76888 0.76613 0.76338 0.76062 0.75552 0.74899 0.74246 0.73593 0.72940 0.72287 0.71634 0.71018 0.70441 0.69864 0.69287 0.68710 0.68132 0.67555 0.66978 0.66401 0.65824 0.65247 0.64669 0.64092 0.63548 0.63055 0.62562 0.62069 0.61577 0.61084 0.60591 0.60098 0.59605 0.59112 0.58619 0.58126 0.57634 0.57141 0.56648 0.56155 0.55662 0.55169 0.54676 0.54183 0.53691 0.53198 0.52705;
0.50000 0.53749 0.57498 0.61248 0.64997 0.68747 0.70781 0.71982 0.73183 0.74383 0.75584 0.76784 0.77985 0.77642 0.77280 0.76918 0.76556 0.76194 0.75832 0.75474 0.75116 0.74759 0.74401 0.74044 0.73687 0.73038 0.72089 0.71140 0.70190 0.69241 0.68291 0.67342 0.66393 0.65443 0.64494 0.63544 0.62595 0.61645 0.60696 0.59475 0.58038 0.56600 0.55163 0.53726 0.52289 0.50851 0.49414 0.47977 0.46540 0.45102 0.43665 0.42228 0.40791 0.39353 0.37916 0.36479 0.35042 0.33604 0.32167 0.30730 0.29293;
];