Title of article
Probabilityandrepeatibility:OneparticlediffusionOriginalResearchArticle
Author/Authors
DonaldA.Drew، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
12
From page
1117
To page
1128
Abstract
Manymultiphaseflowsystemsinvolvecomplexgeometryand/orchaoticflows.Forthisreason,exactsolutionstoinitialvalueproblems(giving,forexample,theexactinitialpositionsofallbubblesflowinginasystem)containbothtoomuchinformationandtoolittleinformation,inasensethatwillbemadeclear.Formanypurposes,flowdetails(suchasripplesonbubbles)canbeneglected,ortheiroveralleffectneedbeconsidered.Informationaboutsuchdetailsisextraneous.Forsomesystems,theboundaryconditionsandinitialconditionscannotbecontrolledsufficientlytoallowrepeatableexperiments.Acorrectdetailedpredictionforsuchasystemcannotbemadebecausetheinitialandboundaryconditionscannotbespecified.Moreover,predictionsforsuchasystemcannotbecomparedindetailtotheexperiment.Consequently,predictionsforaverageshavebecomethestandardforcomplexflowsystems.Inthispaper,theaveragingprocessiselucidatedforsituationswheretheflowissimple.Thecentralconceptistheevolutionofanappropriateprobabilitydensityfunction.Theevolution(rateofchange)oftheprobabilitydensityfunctionisstudiedforlinear,logistic,andLorenzdynamics.Webuildtheconceptsandsolutionstowardtheproblemofturbulentdispersionofparticles.Theeffectofuncertaintyintheinitialconditions,andthedispersionbyrandomflowisdescribedfortheevolutionofaswarmofparticles.
Journal title
Nuclear Engineering and Design Eslah
Serial Year
2005
Journal title
Nuclear Engineering and Design Eslah
Record number
894911
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