多級壓氣機一維氣動設計

多級壓氣機一維氣動設計設計指標：壓比10質量流量8kg/s進口條件：大氣壓P=101325pa溫度T=288.15k密度p=1.225kg/m3結構形式：參考發(fā)動機-透博梅卡公司TM333公司2級軸流加1級離心壓比10.5-11轉速45000r/min空氣流量3kg/s輸出功率800kw選擇結構為2級軸流（1級壓比1.4二級壓比1.35總壓比1.89）加一級離心（壓比5.5）軸流級設計：第一級（等環(huán)量設計）設計轉速30000r/min轉子設計1：全壓p=101325義0.4=40530pain：體積流量q=8/p=6.5306m3/sv：壓升Ap=p=40530pain4：比轉速n=5.54八孝葭=5.54x30000x"5306=148.687s（Ap）4（40530）45：由下圖由比轉速選擇R+S級，選擇全壓效率和全壓系數(shù)為V=0.4n=85.59%ttF

6：I即20D26：I即20D2犯30D芋如44。4M出葉輪直徑D=-上==0.261549549mn\w30000\0.4t7：葉輪外緣圓周速度LD/60二410.8410705m/s8：流量系數(shù)中=，_兀C一D2u4t6.5306x4兀x0.265872x417.63=0.2958572499：全壓系數(shù)W年=建篝短=0.3920331632t10：輪轂比選為d=d/D=0.55所以d=0.143852252所以軸向速度c2aq=174.2656758c2a兀一D2（1一d2）42/圖4.20日與鼻間的關系V=\|//r|=0.44326t.thtF圖最隹干算蠡數(shù)碼酬，?圖最隹干算蠡數(shù)碼酬，?與單皴理論全壓殺藪曲必問的關系11葉片數(shù)目選擇10-20由上表葉片選擇在8-16又有公式10-20由上表葉片選擇在8-16又有公式表44葉片數(shù)月與輪鞍同關系選擇16個葉片12：將葉片截面分為6個截面，其中相對平均半徑為截面123456相對半徑;0.650.710.770.8430.921.0半徑2r=2~rrt0.17280.1887680.20470.224120.24460.26587rm■1+d2，=0.8432

廠為葉輪半徑t1552841圓周速度u=四60271.46296.516321.57352.06384.216417.63Ac=_^p_n=0.8586upu“tFtFc=01u141.95129.957119.83109.45100.29392.27ca203.69203.69203.69203.69203.69203.69uuUp=cot-1—1ca36.88334.48732.35130.0527.9326uu-U-cp=cot-12u2ca57.55150.72645.2740.01635.65632.048Ap=p-P2120.66816.23912.9199.9667.7266.0481T=/1.55、_21.5(cotp-cotp)312或者查看圖4-301.2251.0490.91710.7960.69830.6193攻角i32.41.81.070.3-0.5(2a、2m=0.23——-0.002p+Ib)20.18a=a/b=0.450.2511980.2648480.275760.2862680.2949880.302204g_Ap-icm1-五22.85518.66515.6113.111.47710.63k_0.50ic11.4279.337.8056.555.7385.315安裝角0_p+i+ki1i51.2646.21741.95637.6733.96830.815輪緣功L_uAcu39533.7

出口溫度T*=L+T*2c1p327.5圖第30擴任式葉柵中頰宓氣流

轉折角ar號葉柵稠度「及

穎定出口氣流角踮間的關春靜子設計：理論全壓系數(shù)為W=w/n=0.44326t.thtF查得n2=0,18截面123456相對半徑；0.650.710.770.8430.921.0半徑2r=2~rrtr為葉輪半徑t0.17281550.1887680.204720.224128410.24460.26587

ca203.69203.69203.69203.69203.69203.69c2u141.95129.957119.83109.45100.29392.27c=nc3u22u25.55123.39221.56919.718.0516.6進氣角8=cot-icu2ca55.1357.46159.53161.74963.78565.63一二—一c出氣角8=cot-i-^u3ca82.8583.44883.95584.475784.9385.34AS=8-83227.7225.98724.42422.7221.14519.71T=1.5521.5(cot8-cot8)323或者查看圖4-300.8760.7640.67780.59580.52820.4728_?(c+c、2c1c2+~^2u3u-mslla/Vk7220.235217.64215.61213.68212.1210.84tc=|2(c-c)/csycI3u2ums1.0570.9790.9115c=2(sin8/sin8)2.75yc23/\1.18571.3496葉片數(shù)Z="從m(sc),rc1-d，tyc入為1-1.6ms21第二級設計（等環(huán)量設計）設計轉速30000r/minV2總壓P*=141855pa總溫T*=327.4k靜溫丁=T*———=306.52kK=1KK=1K=103130.72pa密度「=RT=1.1723kg/m3設計壓比1.35轉子設計1：全壓p=141855義0.35=49649.5pain2：體積流量q=8/p=6.8242m3/sv3：壓升Ap=p-49649.5pain4：比轉速n=5.54n*-=5.54x30000xv6.8242=130.533s(Ap)3(49649.5,5：由下圖由比轉速選擇R+S級，選擇全壓效率和全壓系數(shù)為V=0.4609n=V=0.4609n=85.25%ttFTw150前一7一切。￥揚而.通f湫6：等外徑設計，葉輪直徑D=0.26587m7：葉輪外緣圓周速度u-冗Dn/60=417.63m/st8：8：:0.2943流量系數(shù)中二上兀C一D2u4t

6.8242x4兀x0.265872x417.639：全壓系數(shù)w=

tAp49649.5x2=0.4856*2L1723x417.6322t10：輪轂比選為d=d/D=0.7所以d=0.1861m無因次軸向速度C=*=0.57701-d2所以c=cu=241m/s00t為避免在葉片根部產(chǎn)生氣流分離，驗算最小輪轂比理論全壓系數(shù)為W=w/n=0.5696t.thtF由下圖查得n=0,14由下表，對于R+S級2

2x0.577VG-n)—0.5696G-0.14)t.2x0.577VG-n)—0.5696G-0.14)t.th2:2.3558所以葉輪最小允許輪轂比為d=1/中-0,42448符合要求minr對于后導葉①=22c="々JfnV2t.th后導葉最小輪轂比為dI1dInd+—==0.026符合要求中\(zhòng)21-d2fmin表44葉片數(shù)月與輪輟同關系10-20由上表葉片選擇在10-20又有公式ZZ=兀入T1^-d=Kx

mm1-d(0.9-1.5)x1xil07=16-261-0.7tt為葉珊稠度，取1.0-1.5m當d=0.5—0.7時當d=0.3—0.4時入為0.9—1.5m入為2.0或者更多m選擇22個葉片12：將葉片截面分為6個截面，其中相對平均半徑為m截面123456相對半徑;0.70.750.80.8630.931半徑2r=2~rrtr為葉輪半徑t0.1861090.19940250.2126960.229445810.24725910.26587圓周速度u=四60292.33313.2114769334.092242360.4020061388.3822313417.6153025Ac=-p^—n=0.8525upuntFtFc=c查上表1u3u169.944158.6149283148.7014953137.8461138127.9152648118.9611962ca241241241241241241C=Ac+c2uu1u195.495566182.0069283170.2704953157.5461138145.9652648135.5611962uu-u-cB=cot-11u1ca42.0936184839.7452884837.6373488635.2741761133.0547506531.00479689uu-cB=cot-12u2ca68.1094630361.4353666855.7937691549.9118191944.8320580840.51210013Ap=p-B2126.0158445521.690078218.1564202914.6376430811.777307439.507303243

1T=1.5521.5(cotp-cotp)312或者查看圖4-301.2520139771.1069500690.9920112350.8772412460.7811309620.700901971攻角i32.41.810.3-0.5(2a、2m=0.23———0.002p+Ib)20.184=a/b=0.450.2300810740.2434292670.2547124620.2664763620.2766358840.2852758g=Ap-ic1m1一后28.9735325625.0967322421.9766382319.0605926916.7064549115.17983818k=0.50ic14.4867662812.5483661210.988319119.5302963468.3532274557.589919091安裝角0=p+i+ki1i59.5803847654.6936546150.4256679745.8044724641.7079781138.09471598輪緣功L=uAcu49680.01595出口溫度T*=L+T*2c1p376.83

圖第30#壓式葉柵中額定氣流

揩折角&Tm葉柵凋度r及

穎定出口氣流角尾;間的關於靜子設計：理論全壓系數(shù)為W=甲/n=0.44326t.thtF查得n20.18截面123456相對半徑;0.70.750.80.8630.931半徑2r=2~rrtr為葉輪半徑t0.1861090.19940250.2126960.229445810.24725910.26587ca241241241241241241

c2u195.495566182.0069283170.2704953157.5461138145.9652648135.5611962c=nc3u22u27.3693792425.4809699623.8378693422.0564559320.4351370718.97856747進氣角8=cot-icu2ca50.9515567152.93933354.7581606956.8266196958.7981776760.64248192一二—一c出氣角8=cot-i-^u-3ca83.5209127683.9645309884.3511158884.7708253585.1533067685.49729318AS=8-83232.5693560631.0251979829.5929551927.9442056626.3551290924.854811251T=/1.55、_21.5(cot8-cot8)323或者查看圖4-301.2276535821.081856810.9671164080.8537099670.759193970.680529758I(c+c'c=1c2+—2u3u-msAlaI2,2265.5149637262.381034259.8086109257.187229254.9573953253.0842442tc=|2(c-c)/csyc?3u2ums1.2664159071.1931194571.1272345861.0536266390.9847145450.921295035c=2(sin8/sin8)2.75yc23/\1.015654761.0918756721.1615842441.2403165041.3143184971.382176109葉片數(shù)Z=2兀rrm(1Tsc/rc1-d，tycr為1-1.6ms27個葉片離心機級設計設計壓比5.5轉速30000r/min進口流量8kg/s進口條件：V2總壓P*=191504.25pa總溫T*=376.83k靜溫丁=T*———=347.65kPK=1靜壓p2K=106908.525pa密度「=RT=1.07149kg/靜壓p2進口速度。=242.17m/s1,進口部分損失系數(shù)4=0.03ic2.2.進氣多變指數(shù)mc+1=1.3833k/1、」K—11-^)ic3,定熵壓縮功*三3,定熵壓縮功*三RTEK-11k-1=237590.446J/kgJ4.選取定熵能量頭系數(shù)選定B=50選出口流量系數(shù)①=0,248選輪阻及漏氣損失2A2rP+P=0.03103葉片數(shù)Z=24多變效率「=0.81dftopt兀①=1—-sinP一①cotP=0.6916283082uZ2A2r2AW=”(1+P+P)=0.5776025s2uoptdft.葉輪圓周速度u=，,匕=641.35716992Ws.導風輪進口軸向速度c為242.17m/s1z.進口流量系數(shù)①=c/u=0.37758991611z2.葉輪外徑D=60u/(即)=0.408312698221/2=0.177287904.D=0.26587D/D=0.6511431111/2=0.177287904d=D2-4qm10.導風輪進口內徑L1邛1c1z_ii,導風輪進口平均直徑Dm=《V+d2)2)/2=0.22596222912.導風輪頂部周速u=n兀D/60=417,615302511TOC\o"1-5"\h\z.導風輪進口平均直徑周速u=n兀D/60=354.93017131mm.導風輪進口根部周速u=n兀d/60=278,47497580.導風輪頂部氣流角B=tan一i(c/u)=30.1089205911z1.導風輪平均中徑氣流角B=tan_1(c/u)=34,305844161m1z1m.導風輪根部氣流角B=tan-1(c/u)=41.0111777901z0.導風輪頂部氣流沖角i選取為31.導風輪平均中徑氣流沖角i選取為41m.導風輪根部氣流沖角i選取為50TOC\o"1-5"\h\z.導風輪頂部葉片安裝角p=i+p=33.108920591A11.導風輪平均中徑葉片安裝角p=i+p=38.305844161Am1m1m.導風輪根部葉片安裝角p=i+p=46.011177790A00.導風輪頂部相對速度W=(2+u2)/2=482,751333311z1.導風輪平均中徑相對速度w=(c2+u2)/2=429,67631471m1z1m.導風輪根部相對速度w=(2+u2)/2=369,0455542101z0.導風輪葉尖進口馬赫數(shù)MA=W/、.kT=1.2915225911.導風輪葉片數(shù)z=fl]2兀sin(/+以A)/2)=24J)inD/D7opt21.導風輪葉片前緣厚度8=1mm1.導風輪進口阻塞系數(shù)工=1--28=0.944806471兀DsinP1m1Am31.導風輪進口葉片內部速度c=c/T=256,317042411z132.導風輪進口葉片馬赫數(shù)：三1=1.310917858kRT

33.滑移系數(shù)目=—133.滑移系數(shù)目=—1+:0.6981334382兀3Z1-m^Dj2TOC\o"1-5"\h\z34.葉輪出口氣流周向速度c=日u=447.75288632u2.選取出口流量系數(shù)隼=0.248，則葉輪出口氣流徑向速度2rc=4u=159.05657812r2r2.葉輪出口絕對速度c=.Jc2+c2=475.1648582、2r2u.導風輪損失系數(shù)選為C=0.21.導風輪中氣流能量損失h=cwm=18462.17354h112.葉輪中損失系數(shù)選為C=0.12.葉輪中氣流能量損失h=c2=1264.949753h222.輪盤摩擦鼓風損失系數(shù)a=0.04.輪盤摩擦鼓風損失h=au2=16453.56078r2.葉輪氣流總損失Zh=h+h+h=36180.68407h1h2r.葉輪出口前氣流溫度T=T+k-[uc+h-c2-c2]=566.673815921kRI22ur2j.葉輪氣流指數(shù)系數(shù)a=&-也=2.924543166ik-1RT-T)21.葉輪氣流多變指數(shù)m=-1-+1=1.51960383ia-1i….,mmi、一.葉輪出口氣流壓力p=p-m-1=446245.46921T.葉輪出口前氣流密度p=p/rt=2.743266457222.葉輪出口葉片厚度5=2.5mm2.葉片出口堵塞系數(shù)工二1一Z2B二0.9382129682兀Dsinp22A.葉輪出口氣流徑向速度0.0:149.22894433r22r.葉輪出口氣流絕對速度c=,：FT=471,966021c=03'3r3u3u2u.葉輪出口外氣流出口角a=tan-1(c/0)=18.4324130733r3u.葉輪出口外氣流溫度t=t+J-0=565,1664939322010.葉輪出口外氣流壓力p氏p32.葉輪出口外氣流密度p=p/rt=2.7505828633.葉輪寬度b=q/(兀D0p)=0.0151939062m23r3.葉輪出口相對寬度b/D=0.03721144622.葉輪出口馬赫數(shù)Ma=0/■(k