%0 Journal Article
%T SimilaritySolutioninChemicalEngineeringGuidedbyDimensionalAnalysis
%A 毛在砂
%A 杨超
%J 过程工程学报
%D 2013
%X Similaritysolutionisaclassicaltopicinchemicalengineering,frequentlyencounteredinanalysisofflowandtransportphenomenainsemi-infinitedomains.Inthisarticle,dimensionalanalysisisappliedtoresolvesystematicallytheconditionsfortheexistenceofsimilaritysolutionsandformulateabasicproceduretogetsuchsolutions.Withseveralclassicexamples,themethodforfindingthesuitablecombinationofindependentvariablesfromoriginalonesisdemonstrated,sothattheoriginalpartialdifferentialequationcanbetransformedintoasimplerordinarydifferentialequation,throughwhichthedesiredsimilaritysolutionisfinallyachieved.In-depthanalysisofone-dimensionaldiffusion/reactionproblemsbydimensionalanalysisresultsinsomenewinsights.Theelaborationissignificantfordeepinsightofsimilaritysolutionanditsapplicationinchemicalengineering.
%K chemicalengineeringmathematics
%K similaritysolution
%K dimensionalanalysis
%K variabletransformation
%K masstransfer
%U http://www.jproeng.com/qikan/Cpaper/zhaiyao.asp?bsid=16966