椭圆封头表面积计算公式的讨论

3No.320077BOILERMANUFACTURINGJul.2007:CN23-1249(2007)03-0066-041,1,2,1(1.,834000;2.,710021):,JB4746-2002,:;;;:TQ052:ADiscussionCalculationFormulaofEllipsoidalHeaderSurfaceAreaLiuChaoping1,QiuZhongjun1,ChenLirong2,WuZongdong1(1.theDesignInstituteofXinjiangTimesPetroleumEngineeringCorporation,Kelamayi834000,China;2.SectionofProductionManagmentofChangqingOilField,Xian710021,China)Abstract:Bydeducingandthenumberchechstothetwocalculationformulasofellipsoidalheader,gettheconclusionthatJB4746-2002giveisaprecisioncalculationformula,thenanalyzethereasonthatanotherformulaerrormarginexsitsandthefactorsoftheerrormarginsize.Keywords:ellipsoidalball;ellipsoidalheader;surfacearea;errormargin:2007-02-19:,2002,0,excel,excel:JB4746-2002,,[1],,,11.1JB4746-2002(EHA)s=r[r+hlC+2h](1)r=Di/2hl=H-hC=1n[r/hl+(r/hl)2-1]/(r/hl)2-1(2),C=0.760346(1)(2):Sj=r(r+hlC)(3)1.2[1]:V1=43abc,:V2=43a2c,a,c,(1),:V3=23[(a+2)2(c+2)-(a-2)2(c-2)]=23[a2+2ac+3/4](4)F1(4)F1=23(a2+2ac+34)F1=23(a2+2ac+24)(5),:F2=23(a2+2ac)(6)(6)a,c(6),:AN=23[D2i4+Dih1](7)AM=23[(Di+)24+(Di+)(hl+2)](8)AW23[(Di+2)24+(Di+2)(hl+)](9)11.3(3)(6)EHA121a(mm)c(mm)Sj(m2)S[1](m2)Sj-S[1](Sj-S[1])/Sj5002501.0841.050.040.0346003001.561.500.050.0347003502.122.050.070.0348004002.772.680.090.0349004503.513.390.120.03410005004.334.180.150.034:Sj(3),S[1](6)2a(mm)500(mm)Sj(m2)S[1](m2)(Sj-S[1])/Sj/a01.081.050.03401001.561.63-0.0460.22002.122.34-0.1040.43002.773.18-0.1471.24003.514.14-0.1810.85004.345.24-0.2081Sj=(a+)[(a+)+(c+)M](10),M=0.7601,(6)(3),763,:,:Sj=a[a+cM]=1.380173a2,(c=0.5a,M=0.7606)S[1]=2[a2+2ac]/3=4a2/3(Sj-S[1])/Sj=(1.380173-4/3)/1.380173=0.033912:,(3)(10),(6)(9)(9),/a(3),[1],22.11)2y,dA=2xdSdS=1+y2dxy=xy(ca)2B=c2a2dA=2x1+B2(xy2)dxA=2C0a2-(1-B)x2a2-x2xdx2B=1,a=c,:A=2a2B1,ac,:A=a2(1+UV)(11)B1,acA=a2(1+FG)(12)F=2B2B-1G=2+arsinB-2B2)(3)(11)EHA33a(mm)c(mm)Sj(m2)S[11](m2)Sj-S[11](Sj-S[11])/Sj5002501.0841.0841.453E-091.34007E-096003001.5611.5612.092E-091.34007E-097003502.1252.1252.847E-091.34007E-098004002.7752.7753.719E-091.34007E-099004503.5123.5124.706E-091.34007E-0910005004.3364.3365.81E-091.34007E-09:Sj(3),S[11](11)3,(11)(3),.C,C,,C,(3)(11).JB4746-20022.2[1][1],=0c-2a-2=ca=c+2a+2(13)0,,(9),[1]86205[1]333[1]c1a1=ca=c2a2.,,:,,.1Sj-S[1]03JB4746-2002,[1](7),a/a,(8)(9)[1]..,1999,4.[2]..,1979.[3]JB/T4746-2002..[4]..,1993,12.(:)(63)5,[1]ASME.2001.[2]HEI.().[3]GB150-981998.[4]1999.[5]GB151-891989.(:)(65)300MW,,,,,,,,,DCS,,3,,,4,,,,[1]./.[M]:,1998,4.[2],,1992(5).(:)963,: