非线性回归法计算曝气设备清水氧传递系数丁志强

:,,1978,,。非线性回归法计算曝气设备清水氧传递系数丁志强　曹瑞钰(,　200433)　、(KLa)。,KLa,。,KLa。　　(KLa)　Estimatetheapparentoxygentransfercoefficientincleanwaterbynonlinearregressionmethod　DingZhiqiang,CaoRuiyu.SchoolofEnvironmentalScienceandEngineering,TongJiUniversity,Shanghai200433Abstract:Compareofestimatingtheapparentoxygentransfercoefficient,KLaincleanwaterbylinearregres-sionmethodwithnonlinearregressionmethodwascarriedoutinthispaper.ItwasfoundthatKLaestimatedbythelaterismoreaccurate,anditwouldmakethecontrolofthetestmucheasier.Sononlinearregressionmethodisrec-ommendedtoestimateKLainassessingtheperformanceofaerators.Keywords:Nonlinearregressionmethod　Oxygentransfercoefficient(KLa)　Aerators　　,。()(KLa),,、、。KLa。KLa()。,,,,。,:dCdt=KLa(Cs-C)(1):C=Cs-(Cs-C0)exp(-KLat)(2):t,s、minh;C,mg/L;Cs,mg/L;C0t0,mg/L。,,,(C-t),,KLa。1　[1～3],。:(1),(C-t),CdCdt,dCdt-C,,-KLa;(2)ln(Cs-C)=ln(Cs-C0)-KLat(3)Cs,(C-t),tln(Cs-C),ln(Cs-C)-t,,-KLa。CsC,。、、、,,。(),。,KLa。2　,。(3),CsC()ln(Cs-C)t,-KLa,f(t;a,-KLa)=a-KLat　(a)(4)C-t,(a,-KLa):Q(a,-KLa)=min∑ni=1[f(ti;a,-KLa)-ln(Cs-Ci)]2(i=0,1,2,…n)(5),:KLa=n∑ni=0ln(Cs-Ci)t-∑ni=0t∑ni=0ln(Cs-Ci)n∑ni=0t2-(∑ni=0t)2(i=0,1,2,…n)(6),,Matlab63　DOI:10.15985/j.cnki.1001-3865.2004.01.029。,,C20%80%。,ln(Cs-C)。,,Cs;Cs,Cs,。Cs1%,KLa3%[3];,,Cs。Cs99.7%,KLa,6/KLa[3]。,Cs。,C,Cs1%,KLa3%。Cs。3　(2),CsC0,,,:f(t;Cs,C0,KLa)=Cs-(Cs-C0)exp(-KLat)(7)C-t,,Q(Cs,C0,KLa)=min∑ni=1[f(ti;Cs,C0,KLa)-Ci]2(i=1,2,…n)(8),。:(C0s,C00,KLa0),(7)Taylor,,f(ti;Cs,C0,KLa),f(ti;Cs,C0,KLa),(ΔCs,ΔC0,KLa),(ΔCs,ΔC0,ΔKLa)=(C1s,C10,KLa1)-(C0s,C00,KLa0)(C1s,C10,KLa1);(7)(C1s,C10,KLa)Taylor,(C2s,C20,KLa2),;Δj=bj-bj-1bj(j=1,2,…n)(9)[3]:Δj,;bCs,C0,KLa。Cs,Cs。Cs98%KLa[3],。4/KLa,30%。(C0s,C00,KLa0),C0s;C00t=0;KLa0。C1/3(min)KLa0[3]。4　1C-t。KLa,。,Cs12.62mg/L,C00.26mg/L,:KLa=0.22min-1,C0s12.62mg/L(12.37mg/L),C000.26mg/L(0mg/L),KLa00.22min-1,Δj0.00001[3]。:KLa=0.25min-1,Cs=12.29mg/L,C0=0.00mg/L。1　C-tt/sC/mgL-1t/sC/mgL-1t/sC/mgL-1t/sC/mgL-1t/sC/mgL-150.263209.0063511.4595012.12126512.49401.713559.5867011.7498512.17130011.92753.4139010.1170511.48102012.17133512.451104.3742510.4974011.57105511.96137012.151455.5446010.2977511.98109012.04140512.371806.4349510.4381011.92112512.15144012.262157.4753010.9784511.43116012.04147512.392508.1856510.9688011.86119512.31151012.362858.6860011.3791512.15123012.62154512.37　　Cs、C0、KLa(2),。。、,0～600s,600s;。(5)(8)Q。Q(a,-KLa)=3.6468,Q(Cs,C0,KLa)=1.4143。,,。KLaCs。KLa12%,KLa、、、12%。(下转第71页)64　　26　1　200421　pH=10,,,1.0mL4-,1.0mL。3min,5min。2.1.5　　[7]Fe3+、Cu2+、Al3+。-4000,,Fe3+、Cu2+、Al3+,。,4-,。,,20。2.1.6　　4-,,,。,,,。,。2.1.7　-4000　-4000,3,,,100g/LNaOHpH7,-1.0mL,4-1.0mL,1.0mL,25mL。5min,A1。,,,,A0,(A0-A1)/A0×100%。,-400095%。2.2　方法的精密度与准确度2.2.1　　10,2.9%。2.2.2　　Fe3+、Cu2+、Al3、Ca2+、Mg2+,,,(1)。1　/μg·mL-1/μg·mL-1/μg·mL-1/%1.501.47、1.48、1.611.57、1.541.53+2.12.502.38、2.49、2.522.60、2.642.54+1.62.2.3　　3,1.28、2.36、3.54μg/mL,,2。2　/μg·mL-1/μg·mL-1/μg·mL-1/%1.280.600.62103.32.361.000.9898.03.541.501.54102.63　　,,-4000,。、-4-,。,,,。1　..:,1993.259～2622　,,..,1992,15(1):37～393　..,1998,16(4):240～2424　..,2000,19(2):39～405　,,　..,2001,14(2):1766　,,　..:,1997.1837　,,　..,1995,21(4):47～50责任编辑:闵　怀　(:2002-06-09)(上接第64页)5　,KLa,,30%,。,。。。1　..:,19892　..:,19893　AmericanSocietyofCivilEngineers.Standard——Themeasure-mentofoxygentransferincleanwater.Am.Soc.Civ.Eng.,NewYork,N.Y.,USA,1992责任编辑:闵　怀　(:2003-10-27)71