化工容器封头上盘管几何设计

:100027466(1999)0420018205X(,200540):(),,,,Excel:;;;:TQ0531202:AGeometricaldesignforcoilinheadofchemicalengineeringvesselJIANGYing2ming(ShanghaiJinshanPetro2ChemicalDesignInstitute,Shanghai200540,China)Abstract:Geometricalcalculationforunfoldinglengthofcoilwhichmaybeusedindishedandconicalheadforthepurposeofinternalsheattransferareprovided1Mathematicalmodelandcalculationformulaeofcoilindifferentheadsarealsoconstructedanddeduced1Keywords:head;coil;unfoldinglength;geometricaldesign[1,2],,[2]:;;,;Excel,Whatif1111,,1,:Q=pHö(2P)(1),H[H1,H2],H1,H24,:x=QcosH=pHcosHö(2P)y=QsinH=pHsinHö(2P)(2),:x2+y2a2+z2b2=1Q2a2+z2b2=1(3)(1)(3)1,,,28419997PETRO2CHEMICALEQUIPMENTVol.28No.4July1999X:1999201220:(19692),(),,,1991,,©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.(3),:dz=-baQdQa2-Q2(4):pdQ,$zdz,:$z=-baQa2-Q2p(5),Q[0,a],$z2,(5),,$z(5),p,û$zû,,,,,,,2(5)(2),(5)$zQ:$z=abp(a2-Q2)3ö2$z=3abpQ(a2-Q2)5ö2Q[0,a),$z0,$z0,(5),Q=a112(1)(3):d#=d2x+d2y+d2z(6)(2):dx=p2PcosH-pH2PsinHdHdy=p2PsinH+pH2PcosHdH(7)d2s=d2x+d2y,(7):d2s=d2x+d2y=[pö(2P)]2(1+H2)d2H(8)s(H)=[pö(2P)]2(1+H2)(9)d2s=s(H)d2H(10)(4)(1):dz=-baQdQa2-Q2=-ba[pö(2P)]2Ha2-[pHö(2P)]2d(11)z(H)=b2a2[pö(2P)]2[pHö(2P)]2a2-[pHö(2P)]2(12)d2z=z(H)d2H(13),(6):d#=d2s+d2z=s(H)+z(H)dH(14):#=d#=H2H1s(H)+z(H)dH(15)(9)(12),,[1]:0r1,f(x)g(x)[a,b],:baûf(x)+g(x)ûrdx1örbaûf(x)ûrdx1ör+abûg(x)ûrdx1örr=1ö2,:baûf(x)+g(x)ûdxbaûf(x)ûdx2+baûg(x)ûdx2(16),(15):#=H2H1s(H)+z(H)dHH2H1s(H)dH2+H2H1z(H)dH2(17):#1=H2H1s(H)dH=p2PH2H11+H2dH(18)[3],:x2+a2dx=x2x2+a2+a22ln(x+x2+a2)914:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.a=1,arshX=ln(X+X2+1),:#1=pö(4P)HH2+1+arshHH2H1(19)#2=H2H1z(H)dH=-baH2H1pHö(2P)a2-[pHö(2P)]2dpH2P(20)[3],:xdxa2-x2=-a2-x2,:#2=baa2-pH2P2H2H1(21):##min=#12+#22(22)#1,#2(18)(21),(15),#,:#(H)=s(H)+z(H)=p2P1+H2+b2a2[pHö(2P)]2a2-[pHö(2P)]2ba#(H)p2P1+H2+[pHö(2P)]2a2-[pHö(2P)]2=p2PH2+a2a2-[pHö(2P)]2p2PH+aa2-[pö(2P)]2##max=p2PH2H1H+aa2-[pHö(2P)]2dH=p2PH22+arcsin(kH)kH2H1(23),k=pö(2Pa),#:#min##max:#(#min+#max)ö2(24)2(),,,a=b=R,:#min##max,#min,#max(22)(23),a,bR3,,,,,[1]311,:Q=pHö(2P)x=QsinAcosHy=QsinAsinHz=x2+y2ötanA=QcosA(25),H[H1,H2],z[0,H],A,H(3),dx,dy,dzd#:dx=p2PcosH-pH2PsinHsinAdHdy=p2PsinH+pH2PcosHsinAdHdz=p2PcosAdHd2#=d2x+d2y+d2z=[pö(2P)]2(1+H2sin2A)d2H,,:#=d#=H2H1p2P1+H2sin2AdH(18),:#=p4PsinAHsinA1+(HsinA)2+arsh(HsinA)H2H1(26)3312,:02199928©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.Q=Q0expHsinAötanB=Q0exp(kH)x=QsinAcosH=Q0sinAcosHexp(kH)y=QsinAsinH=Q0sinAsinHexp(kH)z=x2+y2ötanA=QcosA=Q0cosAexp(kH)(27),H[H1,H2],z[0,H],k=sinAötanB,A,B,Q0,H,4(27)dxdydz:dx=(kcosH-sinH)QsinAdHdy=(ksinH+cosH)QsinAdHdz=kQcosAdH:d#=d2x+d2y+d2z=sin2A+k2QdH:#=d#=H2H1sin2A+k2QdH=H2H1sinAsinBQ0expsinAtanBHdH=Q0cosBexpsinAtanBHH2H1(28)44411ExcelMS1ExcelforWindows,,Excel:,,,,,,,,,,,412Excel1,Excel,,1(22),(23),(24)(26)(28)413:A=#d(29),#,d(d),A,#:#Aöd(=const)(30)#,#,223,,#=#1(H,p)H[H1,H2]:p#=#2(H,Q0,B)H[0,H2]:B:Q0:,#,2,##1,#2,:#1(H,p)Aöd=const1#2(H,Q0,B)Aöd=const2(31),#1(H,p)#2(H,Q0,B),Excel(What2If),:What(H,p)If#1=const1(32)What(H,Q0,B)If#2=const2(33)124:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.:100027466(1999)0420022202X,(,730060):,2:;;;;:TQ05012:BGB150-89[1]GB151-89[2],2,(1)1Ma,,[1]1,Df,abcd,[1]7213,,,[2]DfDf,[1][2]What2IfExcel,,What2If,(32),p,H2,,H10,Pö2P(33),Q0,,,BH2,(32)(33),,,,5(),,,,,,,MSExcel,:[1]1[M]1:,197712462247,3982399,4112412.[2]..,[M]1:,1991122123.[3].1,,[M]1:,1979.971()28419997PETRO2CHEMICALEQUIPMENTVol.28No.4July1999X:1999204202:(19662),,,,,1989,©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.