河流动力学大作业

.,SolutiontoProblem4,.,Problem,ConsiderRun20oftheflumeexperimentsofColeman(1986),findthebestvalueofinthemodifiedsuspensionindexforsatisfactoryagreementbetweenprofilesofsuspendedsedimentconcentrationcalculatedfromtheRouseformulaandmeasureddata.Reference:Coleman,N.L.(1986).“Effectsofsuspendedsedimentontheopen-channelvelocitydistribution.”WaterResourcesResearch,AGU,22(10),1377-1384.,.,Contents,Appendix,6,.,UseRouseformulatomatchthemeasureddatainRun20.,Herethemodifiedsuspensionindexis:,Problemabstract,where,.,MeasuredData,AccordingtoColemansexperiment(Run20)in1986,wecangetsomebasicparametersasbelow.,Table2,Table1,.,So,Hereweget,2.ZhangRJformula,1.empiricalformula.,.,Afteranalysisandcalculation,nowtheproblemissimplifiedintoamathematicproblem.,Generalmodel,.,yi与差异最小时，的值最准确,判定yi与差别的指标：,.,x,y,C/Cb,y,C/Cb,x,x,BecauseoftheprecisionlimitationsinCprogram,thisresultisnotveryaccurate.,Figure2,Basicmethod,clanguage,s=0.0019,.,ApreferablewaytocalculatewithMatlab,HerewesettheGeneralmodel,ThenwechoosetheCurveFittingToolinMatlabtofindthebestvalueof.,Table6,.,Thecalculationisalsobasedontheleastsquaresolutionandtheresultislistedbelow.,Asaresult,wefind=0.5209(0.5011,0.5407),Figure3,s=0.001858,.,Conclusion,通过以上方法，我们完成了对Rouse公式中悬浮指标的修正。,即得出式中的最适值，经计算得=0.5209。,.,References,1张瑞瑾，河流泥沙动力学，北京：中国水利水电出版社，19892ZhixianCao，2014.LecturenotesofMechanicsofSedimentTransport,Wuhanuniversity.,.,Appendix,Programofdichotomy(Clanguage）#include#includevoidmain()doublex1,x2,x3;doubles112=0.023,0.012,0.0082,0.0061,0.0048,0.0033,0.0026,0.0016,0.00076,0.0004,0.0002,0.00011;doubles212=6,12,18,24,30,46,69,91,122,137,152,162;doublea112=0,b112=0,a212=0,b212=0;inti,j,k;scanf(%lf%lf,i+),doublec1=0,c2=0;for(j=0;j12;j+)a1j=pow(170/s2j-1)/(170/61),0.44906767/x1);b1j=s1j/0.023;c1=c1+pow(a1j-b1j,2);for(k=0;k12;k+)a2k=pow(170/s2k-1)/(170/6-1),0.44906767/x2);b2k=s1k/0.023;c2=c2+pow(a2k-b2