Simulation of non-Newtonian (Power-law) fluid flow past

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1、SCIENCECHINAPhysics,Mechanics&Astronomy•ResearchVol.54No.4:703–710Paper•April2011SpecialIssue:ForwardfortheDepartmentofEngineeringMechanics,TsinghuaUniversitydoi:10.1007/s11433-011-4270-8Simulationofnon-Newtonian(Power-law)fluidflowpastarowofsquarecylinders*ZHOUZhiQiang&PENGJieDepartment

2、ofEngineeringMechanics,TsinghuaUniversity,Beijing100084,ChinaReceivedDecember6,2010;acceptedJanuary5,2011;publishedonlineFebruary14,2011Thepower-lawfluidflowpastarowofuniformplacedsquarecylindersisinvestigatedusingtheLatticeBoltzmannmethod(LBM).Theflowisassumedtobetwo-dimensionalandincom

3、pressible.Therelaxationtimeisassumedtobeshear-depen-dentanddeterminedbyusingavariableparameterrelatedtothelocalshearrate.Theeffectsofbothshear-thinning/shear-thickeningpropertyandthecylinderspacingontheconfluenceofthejetsaremainlyconcerned.Thebifurcationdia-gramsoftheflowareobtained,whi

4、chincludeconfluencesofdoubleandquadruplejets.Theresultsshowthatboththefirstandsecondpitchforkbifurcationsareadvancedduetotheeffectoftheshear-thinningproperty,andpostponedduetotheshear-thickeningproperty.power-lawfluid,pitchforkbifurcation,LatticeBoltzmannmethodPACS:47.20.Ky,47.50.Gj,47.1

5、1.Qr1IntroductionNewtonianfluidflowpastarowofsquarecylindersusingfinitedifferencesimulation.TheconfluenceofthejetscomingthroughgapsbetweensquarecylindersismainlyTheflowpastarowofcylindersplacednormaltotheflowconcerned.Apitchforkbifurcationcanbefoundfortheconstitutesaclassicalprobleminthe

6、domainoffluidme-steadyflow.Thebifurcationdiagramsoftheflowarepre-chanics.Theinterestsinthisflowconfigurationstemfromsented.Theflowpatternsarealsoconfirmedqualitativelybothfundamentalandpragmaticconsiderations.Forin-byflowvisualizations.Kumaretal.[4]simulatedthelowstance,arowofcylindersis

7、oftenusedtoscreenstrongandReynoldsnumberflowaroundarowofninesquarecylin-suddenwindsinordertochangethemtoweakenthegentledersusinglatticeBoltzmannmethod.Theeffectofcylinderones[1].Ithasindeedprovidedvaluableinsightsintothespacingismainlyconsidered.Theyconcludedthatthereisun