航空发动机原理大作业.pdf

航空发动机原理大作业

某涡轮喷气发动机参数设计

班级：0207102
姓名:吴吉昌
学号：020710213
2010年12月20日

作业题目：
在海平面、静止状态、标准大气条件、最大工作状态时，对有关涡
喷发动机的F，SFC的要求如下表所示，它们均采用收敛喷管，Vcol为压
气机出口处的相对引气量，Vr为涡轮中的相对回气量。试选择有关参数，
计算并画出Fs,SFC及Qma随兀*(或T*)的变化曲线，并确定满足性能要
k3
求的工作过程参数。
发动机ABCDEF
Vcol0.030.02500.0300
Vr0.020.0200.0200
要FdN>=26001250700290026502200
求SFCKg/dN.hr<=0.951.01.20.961.21.1
本报告选定C组参数进行设计讨论
MATLAB源程序：
function[Fs,SFC,Qma,f]=LIANXI2(Pk*)

T0=288.2;P0=1.0133e5;C0=0;F=7000;C=340.3;Hn=42900000;
di=1;nm=0.99;Vcol=0;Vr=0;
sb=0.97;dt=0.98;db=0.96;nt*=0.93;nk*=0.83;
k=1.4;R=287.3;k’=1.33;R’=288;
Cp=k*R/(k-1);Cp’=k’*R’/(k’-1);

XH=(1250:10:1550);
YH=[3137.53172.03206.83241.63276.83311.83346.93382.13417.53453.0
3488.73524.23560.03595.93632.03668.13704.23740.53777.03813.5
3850.23886.83923.53960.83997.44034.54071.34108.24245.24282.5
4219.7];

Xh2=(350:10:850);
Yh2=[350.5360.6370.7380.8390.9401.4411.1421.3431.5441.7451.9
462.1472.3482.6492.9503.2513.5523.8534.1544.5554.9565.3575.7
586.2596.6607.1617.6628.2638.8649.3660.0670.6681.3692.0702.7
713.4724.2735.0745.9756.7767.6778.5789.4800.3811.6822.2833.2
844.2855.2866.2877.2];

Xh3=(1250:10:1550);
Yh3=[1336.61348.41360.21372.11383.91395.81407.71419.61431.6
1443.51455.51467.41479.41491.31503.31515.31527.31539.21551.3
1563.21575.31587.21599.11611.01623.01635.01647.31659.51671.8
1684.11696.5];

T3*=(1250:5:1550);
M0=C0/C;
T0*=T0*(1+(k-1)*M0^2/2);
P1*=di*P0*(1+(k-1)*M0^2/2)^(k/(k-1));
T1*=T0_;
VTk*=T1**(Pk*^((k-1)/k)-1)/nk*;
T2*=T1*+VTk*;
P2*=P1**Pk*;
P3*=P2**db;
h3a*=interp1(Xh3,Yh3,T3*)*1000;
h2a*=interp1(Xh2,Yh2,T2*)*1000;
H3*=interp1(XH,YH,T3*)*1000;
f=(h3a*-h2a*)./(sb.*Hn-H3*+h2a*);
VTt*=Cp*VTk*./(Cp**(1-Vcol+f)*nm);
T4*=T3*-VTt*;
Pt*=(1-VTt*./(T3**nt*)).^(-k*/(k*-1));
P4*=P3*./Pt*;
P9*=P4**dt;
a=P9*/P0;
if(a>=1.85)
P9=P9*./1.85;
C9=(2*k’*R’*T4*./(k’+1)).^0.5;
else
P9=P0;
C9=(2*Cp’*T4**(1-P0./P9*).^((k’-1)/k’)).^0.5;
end
T9=T4*-C9.^2/2/Cp’;
Fs=(1-Vcol+f+Vr).*(C9-C0./(1-Vcol+f+Vr)+R’*T9/C9*(1-P0./P9));
SFC=3600*f*(1-Vcol)./Fs;
Qma=F./Fs;

[a1,b1,c1,d1]=LI