離心式空氣壓縮機(jī)熱力計(jì)算(P240 例3)

,海力源集團(tuán),,,離心壓縮機(jī)原理P240例3,,,,文件編號(hào),,,

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,海力源（天津）工程技術(shù)有限公司,,,單級(jí)空氣離心壓縮機(jī)熱力計(jì)算,,,,JSD00-01,,,

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,大項(xiàng),中項(xiàng),小項(xiàng),符號(hào),單位,公式,數(shù)值,備注,,例題計(jì)算,

,葉輪型式,,,,,徑向直葉片半開式葉輪,,,,,

,介質(zhì)名稱,,,,,,Air,已知,,,

,已知,,質(zhì)量流量,qm,kg/s,,3.18,已知,,,

,,總壓比,壓縮比,εi,/,,3.8,已知,,,

,,,入口大氣壓力,Pin,Mpa(a),,0.1013,已知,,,

,,,入口大氣溫度,tia,℃,,15.0,已知,,,

,計(jì)算,,,,,,,,,,

1,導(dǎo)風(fēng)輪,,進(jìn)氣部分損失系數(shù),ξia,,選取(一般為0.03~0.06),0.03,,,,

,,,比熱容比,k,,,1.402,查表,,,

,,,摩爾質(zhì)量,,g/mol,,28.959,查表,,,

,,,通用氣體常數(shù),Rm,J/(mol*K),,8.3144,標(biāo)態(tài)計(jì)算得出,,,

,,,氣體常數(shù),R,J/(kg*K),,287.11,,,,

2,,,進(jìn)氣部分多變指數(shù),mia,,mia/(mia-1)=(k/(k-1))/(1-ξia),1.385,,,,

3,,,定熵壓縮功,Ws,KJ/kg,(k/(k-1))RTin*(εi^((k-1)/k)-1),134.6,離心壓縮機(jī)原理P14,,134.4,

4,,,定熵能量頭系數(shù),ψs,,選取(一般為0.57~0.71),0.68,,,,

5,,,葉輪圓周速度,u2,m/s,(Ws/ψs)^0.5,444.86,,,,

6,,,導(dǎo)風(fēng)輪進(jìn)口軸向速度,c1Z,m/s,選取,120.8,,?,,

7,,,進(jìn)口流量系數(shù),φ1,,c1z/u2,0.272,,,,

,,,,,,2Rk/(k-1),2002,,,2009,

8,,,導(dǎo)風(fēng)輪進(jìn)口溫度,T1,K,Tin-c1z2/(2Rk/(k-1)),288.1,離心壓縮機(jī)原理P21,,,

9,,,導(dǎo)風(fēng)輪進(jìn)口壓力,P1,Mpa,Pin(T1/Tin)^(mia/(mia-1)),0.101,離心壓縮機(jī)原理P22,,,

10,,,導(dǎo)風(fēng)輪進(jìn)口密度,ρ1,kg/m3,P1/(RT1),1.224,,,,

11,,,轉(zhuǎn)速,n,r/min,選定,25000,,?,,

12,,,葉輪外徑,D2,m,60u2/(πn),0.340,,,,

13,,,葉輪直徑比,D1/D2,,選取,0.58,離心壓縮機(jī)原理P71,,,

14,,,導(dǎo)風(fēng)輪進(jìn)口外徑,D1,m,(D1/D2)D2,0.197,,,,

15,,,導(dǎo)風(fēng)輪進(jìn)口內(nèi)徑,d,m,(D12-4qm/(πρ1c1z))^0.5,0.107,,,,

16,,,導(dǎo)風(fēng)輪進(jìn)口平均直徑,D1m,m,(D12-4qm/(πρ1c1z))^0.5,0.159,,,,

17,,,導(dǎo)風(fēng)輪頂部圓周速度,u1,m/s,nπD1/60,258,,,,

18,,,導(dǎo)風(fēng)輪進(jìn)口平均直徑處圓周速度,u1m,m/s,nπD1m/60,208,,,,

19,,,導(dǎo)風(fēng)輪進(jìn)口根部處圓周速度,u10,m/s,nπd/60,140,,,,

20,,,導(dǎo)風(fēng)輪頂部氣流角,β1,°,arctan(c1Z/u1),25.088,25°10',,,

21,,,導(dǎo)風(fēng)輪進(jìn)口平均直徑處氣流角,β1m,°,arctan(c1Z/u1m),30.188,30°52',,,

22,,,導(dǎo)風(fēng)輪進(jìn)口根部處氣流角,β0,°,arctan(c1Z/u0),40.740,42°50',,,

23,,,導(dǎo)風(fēng)輪進(jìn)口頂部氣流沖角,i1,°,選取,2.912,2°50',?,,

24,,,導(dǎo)風(fēng)輪進(jìn)口平均直徑處氣流沖角,i1m,°,選取,3.812,3°8',?,,

25,,,導(dǎo)風(fēng)輪進(jìn)口根部氣流沖角,i0,°,選取,6.260,4°10',?,,

26,,,導(dǎo)風(fēng)輪進(jìn)口頂部葉片安裝角,β1A,°,β1+i1,28,28°,離心壓縮機(jī)原理P74,,

27,,,導(dǎo)風(fēng)輪進(jìn)口平均直徑處葉片安裝角,β1Am,°,β1m+i1m,34,34°,,,

28,,,導(dǎo)風(fēng)輪進(jìn)口根部葉片安裝角,β0A,°,β0+i0,47,47°,?,,

29,,,導(dǎo)風(fēng)輪進(jìn)口頂部相對(duì)速度,w11,m/s,(c1z2+u12)^0.5,284.9,,,,

30,,,導(dǎo)風(fēng)輪進(jìn)口平均直徑處相對(duì)速度,w1m,m/s,(c1z2+u1m2)^0.5,240.2,,,,

31,,,導(dǎo)風(fēng)輪進(jìn)口根部相對(duì)速度,w10,m/s,(c1z2+u102)^0.5,185.1,,,,

32,,,導(dǎo)風(fēng)輪進(jìn)口處氣流聲速,c11,m/s,(kRT1)^0.5,340.6,,,,

33,,,導(dǎo)風(fēng)輪進(jìn)口頂部氣流相對(duì)馬赫數(shù),Maw1',,w11/c11,0.836,,,,

34,,,導(dǎo)風(fēng)輪葉片數(shù),Z1,片,按經(jīng)驗(yàn)公式計(jì)算或選取,19,,?,,

35,,,導(dǎo)風(fēng)輪葉片前緣厚度,δ1,mm,選取,1,,,,

36,,,導(dǎo)風(fēng)輪進(jìn)口阻塞系數(shù),τ1,,1-(Z1δ1)/(πD1msinβ1Am),0.932,離心壓縮機(jī)原理P65,,0.930,

37,,,導(dǎo)風(fēng)輪進(jìn)口葉片內(nèi)部速度,c1m,m/s,c1z/τ1,130,,,,

38,,,導(dǎo)風(fēng)輪進(jìn)口葉片內(nèi)部相對(duì)馬赫數(shù),Maw1,,((c1m2+u12)^0.5)/c11,0.848,,?,0.855,

39,葉輪,,滑移系數(shù),μ,,1/(1+((2π/3Z1)/(1-(D1m/D2)^2))),0.876,離心壓縮機(jī)原理P67,,,

40,,,葉輪出口氣流周向速度,c2u,m/s,μu2,390,,?,,

41,,,葉輪出口前氣流徑向速度,c2r‘,m/s,選取,110,,?,,

42,,,葉輪出口前速度比,,,c2r‘/u2,0.247,,,,

43,,,葉輪出口前氣流絕對(duì)速度,"c2""",m/s,(c2r‘2+c2u2)^0.5,405,,,,

44,,,導(dǎo)風(fēng)輪損失系數(shù),ζ1,,選取（一般0.1~0.3）,0.25,離心壓縮機(jī)原理P81,,,

45,,,導(dǎo)風(fēng)輪中氣流能量損失,hh1,KJ/kg,ζ1W1m2/2,7.214,,,6.903,

46,,,葉輪中損失系數(shù),ζ2,,選?。ㄒ话?.1~0.2）,0.1,離心壓縮機(jī)原理P81,,,

47,,,葉輪中氣流能量損失,hh2,KJ/kg,ζ2C2r‘2/2,0.605,,,,

48,,,輪盤摩擦鼓風(fēng)損失系數(shù),α,,選取0.03~0.08,0.04,離心壓縮機(jī)原理P82,,,

49,,,輪盤摩擦鼓風(fēng)損失,hr,KJ/kg,αu2^2,7.916,,,7.88544,

50,,,葉輪中氣流總損失,∑h,KJ/kg,hh1+Hh2+hr,15.735,,,,

51,,,葉輪出口前氣流溫度,T2‘,K,T1+(k-1)/(kR)*(u2c2u+hr-(c2‘^2-c1m^2)/2),387.9,離心壓縮機(jī)原理P21,,,

52,,,葉輪中氣流指數(shù)系數(shù),σi,,k/(k-1)-∑h/(R(T2-T1)),3.486,離心壓縮機(jī)原理P58,,3.499,

53,,,葉輪中氣流多變指數(shù),mi,,σi=mi/(mi-1),1.402,離心壓縮機(jī)原理P23,,1.503,

54,,,葉輪出口前氣流壓力,P2’,Mpa,P1(T2‘/T1)^(mi/(mi-1)),0.2854,離心壓縮機(jī)原理P22,,0.2379,

55,,,葉輪出口前氣流密度,ρ2',kg/m3,P2‘/(RT2),2.563,,,2.166,

56,,,葉輪出口葉片厚度,δ2,mm,選取,2.5,,,,

,,,葉輪出口葉片安裝角,β2A,°,,90,離心壓縮機(jī)原理P81,?,,

57,,,葉輪出口阻塞系數(shù),τ2,,1-(Z2δ2)/(πD2sinβ2A),0.956,離心壓縮機(jī)原理P65,?,0.955,

58,,,葉輪出口外氣流徑向速度,c2r,m/s,τ2c2r‘,105,,,,

59,,,葉輪出口外氣流絕對(duì)速度,c2,m/s,(c2r2+c2u2)^0.5,404,,,,

60,,,葉輪出口外氣流出口角,α2,°,arctan(c2r/u2u),15.09,,,,

61,,,葉輪出口外氣流溫度,T2,K,"T2‘+(c2""^2-c2^2)/(2Rk/(k-1))",388.4,離心壓縮機(jī)原理P21,,,

62,,,葉輪出口外氣流壓力,P2,MPa,≈P2’,0.2854,,,0.2379,

63,,,葉輪出口外氣流密度,ρ2,kg/m3,P2’/(RT2),2.559,,,2.162,

64,,,葉輪寬度(不考慮阻塞),b2,mm,qm/(πD2C2rρ2),11.07,,,13.19,

65,,,葉輪出口相對(duì)寬度,,,b2/D2,0.0326,,,0.0389,

66,,,葉輪出口外氣流聲速,c2‘,m/s,(kRT2)^0.5,395.4,,,,

67,,,葉輪出口外氣流馬赫數(shù),Mac2',,c2/c2',1.021,,,,

68,無葉擴(kuò)壓器,,無葉擴(kuò)壓器直徑比,D3/D2,,選取1.03~1.12,1.13,離心壓縮機(jī)原理P92,？,,

69,,,無葉擴(kuò)壓器氣流密度比,ρ2/ρ3,,初選,0.892,,,,

70,,,無葉擴(kuò)壓器出口氣流速度,c3,m/s,c2(D2/ρ2)/(D3/ρ3),318.77,,,,

71,,,無葉擴(kuò)壓器出口氣流溫度,T3,K,T2-(c3^2-c2^2)/(2Rk/(k-1)),419.1,,,417.2,

72,,,無葉擴(kuò)壓器多變指數(shù),mvl,,選取,1.7,,？,,

73,,,無葉擴(kuò)壓器出口氣流壓力,P3,MPa,P2(T3/T2)^(mvl/(mvl-1)),0.343,,,0.289,

74,,,無葉擴(kuò)壓器出口氣流密度,ρ3,kg/m3,P3/(RT3),2.853,,,,

75,,,密度比,ρ2/ρ3,,校核,0.897,,,,

76,,,無葉擴(kuò)壓器出口氣流聲速,c3‘,m/s,(kRT3)^0.5,410.7,,,,

77,,,無葉擴(kuò)壓器出口氣流馬赫數(shù),Mac3,,c3/c3',0.776,,,,

78,,,無葉擴(kuò)壓器外徑,D3,m,(D3/D2)D2,0.384,,,,

79,,,無葉擴(kuò)壓器出口寬度,b3,mm,≈b2,11.072,,,,

80,,,無葉擴(kuò)壓器出口角,α3,°,≈α2,15.09,,,,

81,,,葉擴(kuò)壓器內(nèi)氣流折轉(zhuǎn)角,Δα,,選取,44.91,,,,

82,,,葉片擴(kuò)壓器內(nèi)出口氣流角,α4,°,α3+Δα,60,,,,

83,葉片擴(kuò)壓器,,葉片擴(kuò)壓器出口直徑,D4,m,選取,0.68,,,,

84,,,葉片擴(kuò)壓器直徑比,D4/D3,,,1.771,,,,

85,,,葉片擴(kuò)壓器葉片數(shù),Z4,片,,16,,,,

86,,,葉片擴(kuò)壓器內(nèi)氣流多變指數(shù),mv,,選取,1.65,,？,,

87,,,葉片擴(kuò)壓器出口寬度,b4,mm,≈b3,11.072,,,,

,,,系數(shù),f,,,1.15,,？,,

88,,,葉片擴(kuò)壓器出口氣流速度,c4,m/s,c3(D3/(fD4))(sinα3/sinα4)(ρ3/ρ4),47.4,離心壓縮機(jī)原理P94,?,ρ4?,

89,,,葉片擴(kuò)壓器出口氣流溫度,T4,K,T2-(c4^2-c2^2)/(2Rk/(k-1)),468.7,,?,466.8,466.5

90,,,葉片擴(kuò)壓器出口氣流壓力,P4,MPa,P3(T4/T3)^(mv/(mv-1)),0.456,,,0.376,

91,,,葉片擴(kuò)壓器出口氣流密度,ρ4,kg/m3,P4/(RT4),3.389,,,2.852,

92,,,葉片擴(kuò)壓器出口氣流滯止溫度,T4zi,K,T4+c4^2/(2Rk/(k-1)),469.8,,,464.01,

93,,,葉片擴(kuò)壓器出口氣流滯止壓力,P4zi,MPa,P4(T4zi/T4)^(k/(k-1)),0.460,,,0.3923,

94,結(jié)果,,壓氣機(jī)總壓比,εzi,/,P4zi/pin,4.540,,?,3.87,

95,,,壓氣機(jī)氣流滯止溫升,Δtzi,K,T4zi-Tin,181.7,,,175.86,

96,,,定熵壓縮滯止溫升,(Δt