第四章 传 热
DESCRIPTION
第四章 传 热. 第四章 传 热. 4.1 传热过程导论 物体或者系统内部由于温度不同而使热量发生转移的过程,称为热量的传递,简称传热。根据热力学第二定律,只要有温度差就将有热量自发地从高温处传到低温处,因此传热是自然界和工程技术领域中普遍存在的一种物理现象。 4.1.1 传热在化工生产中的应用 化学工业与传热问题更为密切,无论是 化学反应过程 ,还是 物理操作过程, 几乎都伴有热量的引入或导出。因此,传热是重要的化工单元操作之一,其应用主要包括以下几方面: (1) 加热或冷却流体 , 符合化学反应或单元操作的需要。 - PowerPoint PPT PresentationTRANSCRIPT
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4.1 4.1.1 (1) (2) () (3)
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4.1.2 4.1.2.1. 4.1.2.2. 4.1.2.3.
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4.1.3 4.1.3.1.()
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()
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4.1.3.2.()
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4.1.3.3.
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4.1.4 QWQ/SW/m2q
Qq
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4.1.5 QQ
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4.2 ()
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1. S=dL
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2. () ()
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() S=ndL
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4.3 4.3.1 4.3.1.1 t=f(x,y,z,) t=f(x,y,z,) t=f(x,y,z)t=f(x)
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4.3.1.2 4.3.1.3 tn
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4.3.2 - dQWdSm2W/(m)
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4.3.3
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4.3.3.1 35420W/(m)0.23.0W/ (m) t t
tW/(m) 0 0W/(m) >0
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4.3.3.2 0.070.7W/(m) t ()Na m=0.9aii m=aii
aii
- 4.3.3.3 0.0060.6 7W/(m) t P(>2105kPa)(
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4.3.4 4.3.4.1 xxt1t2QS>>b, S
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x=0bt=t1t2
tR(R) RQtR t=f(x) = 0(1+t)t=f(x)
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0.37mt11650t2300 =0.815+0.00076t(t W/(m))(1)
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(2)
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4.3.4.2 t1>t2>t3>t4Sb1b2b31 2 3 Q1=Q2=Q3=Q
- Q>Q(t1-tn+1)QRt1>tn+1Q>0 t1
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: 15mm0.043W/(m)40mm,0.10W/ (m) 200mm,1.3W/ (m) -1824:t1-18,t4=24,1=0.043W/(m), 2=0.10W/(m), 3=1.3W/ (m) t1-18,t4=24,1= 0.10W/(m),2= 0.043W/(m),3=1.3W/ (m)
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4.3.5 ()4.3.5.1 r1r2Lt1>t2rdrS=2rL
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QSrQ/SQ/Lr:
r
tR
4
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4-2 133mm0.2W/(m)16040240W/m
b=r2-r10.125-0.06650.058 m
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4.3.5.2 123
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QQ/LQ
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4.4 4.4.1
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TTTwTwTsTstststwt TbtbT tTtTwtwTsts Tbtb
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4.4.2 4.4.2.1 1 2x0 tts-t=0.99(ts-t0)(t)
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4.4.2.2 u0t0
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4.4.2.3 4.4.2.3.1 dQ WdSm2t W/(m2 )
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1.aha Q=aSt Q W S m2 t () a W/(m2 ) 2.dQ=ai(Tb-Ts)dSidQ=ao(Tb-Ts)dSodQ=ai(ts-tb)dSidQ=ao(ts-tb)dSo
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4.4.2.3.2 h
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4.4.4 4.4.4.1 a1. < > 2. Cp Cp
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3. t4. Re < 5. <
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4.4.4.2 6. ()
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4.4.4.2.1 1. lCp u f(l, Cpu)2. f(1, 2, 3 i)=0i=j-m i j m(LMT) i=7-4=3
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3.(1)
(2)m(4)d,ll,u,,Tl, ,,u3
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(3)
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4.4.4.2.2 gtf(l, Cp gt)
4.
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Nu(Nusselt) Re(Reynolds) Pr(Prandtl)Gr(Grashof)
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4.4.4.2.3 1. RePrGr2. 3t=(t1+t2)/2T=(T1+T2)/2t=(tw+Tw)/2t=(tw+t)/2t=(Tw+T)/2 3. NuRel
- 4.4.5 4.4.5.1 1.(1)(
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(2)
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2.
- 3 2300
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4-13 254252.5mm6m50kg/s208050%t=(20+80)/2=50=860kg/m3cP=1.80kJ/kg=0.4510-3Pas=0.14W/m
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1
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2 Re>100(1)(25%) h
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(2)dide
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GrPr Nu(rPr)n Cn
rPrCndo104~1090.531/4109~10120.131/3L104~1090.591/4109~10120.101/3
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4-4 20m159mm12020 t(120+20)/270 701.03kg/m32.0610-5Pas 0.0297W/mK1/(273+70)=1/340 1/KPr0.694
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4.4.8 4.4.8.1 (1)(2)
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1. (1)
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(2) 510
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2. tq
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1%60%
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3. ReReMRe=f(M)Mkg/(ms) A m2b m,W kg/s
(1)()
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(2)() ()Q=oSo(ts-tw)W=Q/rM=W/bRe
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4.4.8.2
- 1 DEF(1)ABt
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2 (1)(Mostinski)
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(2)
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3 (1) (2)t ttw-ts c(t)ncnn23(3) t(4)
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4.5 4.5.1 4.5.1.1 (0.40.8m)(0.820m)0.420m(0.40.8m)
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4.5.1.2 QQAQRQD QAQRQDQ
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4.5.1.3 ()A1A0.960.98A()R1R0.97D1(H2N2O2He)
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A0D=0AR1Ak ARDD0AR1 R0AD14.5.1.4
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4.5.1.5 4.5.1.5.1 (T>0K) EW/m2 EW/m2mE
Eb
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4.5.1.5.2 (MPlanck) EbT
m T K C13.74310-16 m2 C21.438710-2 mK
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4.5.1.5.3 -(JStefan-D.Boltzman) -
05.6710-8 W/(m2K4) C05.67 W/(m2K4) -
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CW/(m2K4)C0
()5-6
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4.5.1.5.4 (Kirchhoff) EA 12 1()E1A1T1 2EbA2(=1)T2T1>T2,1221E122Eb1A1Eb(1-A1)Eb21 Q/S=Q/S-Q/S=[E1+(1-A1)Eb]-Eb=E1-A1EbT1=T2 Q/S=0
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1
AE AE/EbE/EbAA A ;A
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4.5.2 4.5.2.1 1T1E1A12T2E2A2 12 1 (Q/S)1=(E1+R2R1E1+R22R12E1+ )- (R2E1+R22R1E1+R23R12E1+ ) = (E1-E1R2) (1+R2R1+R22R12 +R23R13 + ) = E1A2(1+R2R1+R22R12 +R23R13 + )
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2 (Q/S)2=(E2+R2R1E2+R22R12E2+ )- (R1E2+R2R12E2+R22R13E2+ ) = (E2-E2R1)(1+R2R1+R22R12 +R23R13 + ) =E2A1(1+R2R1+R22R12 +R23R13 + )12
12
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4.5.2.2
SP3815-7
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4-5 1.80.75m2()107122()1() S=S1=1.80.75 m2, =1,C1-2=1C0 P3785-61=0.15
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4.5.4 qC=cSw(tw-tb)
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T= C+ R-W/(m2) T1 T=9.8+0.07(tw-tb) T=9.4+0.052(tw-tb) tw5m/s T=7.8+u0.78
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4-6 194mm0.09W/mK1334020T=9.4+0.052(tw-tb)=9.4+0.052(40-20)=10.44W/(m2)
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4.6 4.6.1 4.6.1.1 1 1.()
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2.()
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3.() 2 1.2.3.4.5.6.7.
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3 1. 2. 3.
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4 1. 2.
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4.6. 2 4.6. 2.1 ()
(40150m2/m3) 50
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1. ()()700.6MPa1.2.3.
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2. 1.2.3.
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3.U U 1.U2.3.
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1.
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2.
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3 46mUtm
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P39810
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1. ()40.53mm46mm
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(1)(Re=200)K12001500W/m2K(2)2501000m2/m3(3)(4)tm 2MPa1302502050
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2. IIIIIIG
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(1) (Re=14001800)(2m/s20m/s)K=20003000W/m2K(2) (3) (4) 24mm150500m2/m3 2MPa3004001.5m2001200mm24mm525mm
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3. () 25004000m2/m3350W/m2K5MPa
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4.6.2 4.6.2.1 4.6.2.1.1 dS dQ=K(T-t)dS=KtdSKW/(m2.) T t
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1.K t=1K=dQ/dS 1()J 2.K 1/K3.K K dQ=Ki(T-t)dSi=Ko(T-t)dSo=Km(T-t)dSm dQ(T-t)
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4.6.2. 2 () dSdQ=-WhdIhWcdIc Q=Wh(Ih1-Ih2)=Wc(Ic2-Ic1)
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1. Qh=Wh(Ih1-Ih2)WhCph(T1-T2) Qc=Wc(Ic2-Ic1)WcCpc(t2-t1)Cph(T1+T2)/2Cpc(t1+t2)/22. 1() Q=WhrWcCpc(t2-t1)2 Q=Wh[r+Cph(Ts-T2)]WcCpc(t2-t1) Ts
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4.6.2. 3 1.K
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2. RsiRso
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3.(1)KKKKKkKKhKK
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(2)KS SKSoSoKoKKo(3)() di=do=dm
(4)K()()K
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4-8 252.5mm50W/m21000W/m245W/mKoKo
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4.6.3 4.6.3. 1 dQ=KtdS Q=CK=C
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1. t=T-t
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2. (1) 1212
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(2) dSdQdTdtdQ=WcCpcdt dQ=-WhCphdT tTtQ
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tQ tm
- (1)t1=T1-t1t2=T2- t2(2)tm>tm(3)tm=tm(4)1/2
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4-9 300200120180: 300200 300 200120180 180 120t1=180 t2=20 t1=120 t2=80 100t1/t2=937%t1/t2=4/31.3%tm>tm
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tm>tmKQ=KStm(t2-t1)T1t1T2t2T1T2t1t2
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3tm (Underwood)(Bowman)tmt tm= ttm,tPR t=f(PR) tPR4-19(a)(b)(c)(d)12342468 1-2()t
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4-10 252.5mm2055100W/m2100702000W/m250%()
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4-11 20m21.4kg/s804525230W/(m2)1.0kJ/(kg),
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4.6.3.2 1.
Q=WhCph(T1-T2)WcCpc(t2-t1) (T1-t1)(WCp) Qmax= (WCp)min (T1-t1)
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Cmin2.NTU dQ=-WhCphdTWcCpcdt=K(T-t)dS
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3.NTU
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1.NTU2.Cmin=WhCph Cmax=WcCpc(NTU)min=KS/Cmin3.
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()4.tT0Cmax==1-exp[-(NTU)min]5.Cmin=Cmax6.Cmin=min(WhCph,WcCpc)(NTU)min (NTU)minKS/ Cmin
t2T2
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4-12 15.8m22.85kg/s1100.667kg/s351.9kJ/(kg)4.187 9kJ/(kg) 320W/(m2)WhCph=2.851900=5415W/ WcCpc=0.6674180=2788W/Cmin/Cmax=2788/5415=0.515(NTU)min=KS/Cmin=32015.8/2788=1.8
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4.7
KtmS1.
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2.tm tmtmtm
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3.K K
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(2)(3)
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4.8 4.8.1 1 ()(1)(2)
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(3)(4)(5)(6)(7)(Re100)(8)
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2 4-144-16
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3 tm10(CaCO3,MgCO3,CaSO4MgSO4)45
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4. 192mm252mm252.5mm6m1.5236m3m6mLDL/D46 4-40tt=1.25dot=(1.31.5)dot(do+6)mm
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5. P4316-300.150.450.200.25 0.21.0150300600mm150200300480600mm
- 6. 1246 t
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7. D=t(nc-1)+2b D m tm bmb=(11.5)do nc nc=1.1n0.5 nc=1.19n0.5 n
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8. (1) pip1p2 pi=(p1+p2)FtNpNs Ft 252.5mm1.4192mm1.5 Np Ns
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(2) pop1p2 po=(p1+p2)FsNsp1=Ffonc(NB+1)uo2/2 p2=NB(3.5-2Z/D)uo2/2 Fs 1.151.0F F=0.5F=0.3F=0.4fo Reo>500fo=5.0Reo-0.228 Reo=douo/nc NB Z muo Ao=Z(D-ncdo)m/s 10100kPa110kPa
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4.8.2 1(1)(2)(3)t0.8(4)(5)K(6)S()
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2 3 K1020%K
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1.2.3.4.5.6.7.8.9.10.11.
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()
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()
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()