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简介：TheproblemofacreepingflowofNewtonianfluidextrudedfromaplaneslitoracircularpipe.intheabsenceofgravity,issimulatedsuccessfullybyusingthecontinuous-pressure-elementmethod,thediscontinuous-pressure-elementmethod,theconsistantpenaltymethod,thereducedintegrationpenaltymethodandthemodifiedreducedintegrationpenaltymethodproposedbyOden.Throughcomparisonsbetweenthesemethods,itisconvincedthatthediscontinuous-pressureinterpolationschemesresultinmoreaccuratemassconservationand,consequently,morerapidconvergenceofthefree-surfaceiterationthanthecontinuousonedoes.Thereducedintegrationpenaltymethodcanfurtherreducethecostofcomputationwhileretainingsufficientaccuracyofthesolution.

简介：稳定的laminar流动的问题的一个近似答案一粘滞在一张拉长的表上的不可压缩的电子上进行的液体被介绍。途径基于拉长流动问题的变量然后使用最少的广场方法最小化一个微分方程的剩余的想法。流动特征上的磁场的效果与Hartman数字的不同价值通过数字计算被表明。

简介：Bothclinicalandpostmortemstudiesindicatethat,inhumans,thecarotidsinusofthecarotidarterybifur-cationisoneofthefavoredsitesforthegenesisanddevelop-mentofatheroscleroticlesions.Hemodynamicfactorshavebeensuggestedtobeimportantinatherogenesis.Tounderstandthecorrelationbetweenatherogenesisandfluiddynamicsinthecarotidsinus,thebloodflowinarterywassimulatednumerically.Inthosestudies,thepropertyofbloodwastreatedasanincompressible,Newtonianfluid.Infact,however,thebloodisacomplicatednon-Newtonianfluidwithshearthinningandviscoelasticproperties,especiallywhentheshearrateislow.Avarietyofnon-Newtonianmod-elshavebeenappliedinthenumericalstudies.Amongthem,theCassonequationwaswidelyused.However,theCas-sonequationagreeswellonlywhentheshearrateislessthan10s~(-1).Theflowfieldofthecarotidbifurcationusuallycoversawiderangeofshearrate.WethereforebelievethatitmaynotbesufficienttodescribethepropertyofbloodonlyusingtheCassonequationinthewholeflowfieldofthecarotidbifurcation.Inthepresentstudy,threedifferentbloodconstitutivemodels,namely,theNewtonian,theCas-sonandthehybridfluidconstitutivemodelswereusedintheflowsimulationofthehumancarotidbifurcation.Theresultswerecomparedamongthethreemodels.TheresultsshowedthattheNewtonianmodelandthehybridmodelhadverysimilardistributionsoftheaxialvelocity,secondaryflowandwallshearstress,buttheCassonmodelresultedinsignificantdifferencesinthesedistributionsfromtheothertwomod-els.ThisstudysuggeststhatitisnotappropriatetoonlyusetheCassonequationtosimulatethewholeflowfieldofthecarotidbifurcation,andontheotherhand,Newtonianfluidisagoodapproximationtobloodforflowsimulationsinthecarotidarterybifurcation.

简介：Wedealwithavariationalinequalitydescribingthemotionofincompressiblefluids,whoseviscousstresstensorsbelongtothesubdifferentialofafunctionalatthepointgivenbythesymmetricpartofthevelocitygradient,withanonlocalfrictionconditiononapartoftheboundaryobtainedbyageneralizedmollificationofthestresses.Weestablishanexistenceresultofasolutiontothenonlocalfrictionproblemforthisclassofnon-Newtonianflows.TheresultisbasedontheFaedo-GalerkinandMoreau-Yosidamethods,thedualitytheoryofconvexanalysisandtheTychonov-Kakutani-Clicksbergfixedpointtheoremformulti-valuedmappingsinanappropriatefunctionalspaceframework.

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简介：AnintrinsicHarnackestimateandsomesup-estimatesareestablishedfornonnegativeweaksolutionsofequationsofnon-Newtonianpolytropicfiltrationut-div(｜Dum｜p-2Dum)=0,m(p-1)＜1,m＞0,p＞1.

简介：ThepressurelessNavier-Stokesequationsfornon-Newtonianfluidarestudied.Theanalyticalsolutionswitharbitrarytimeblowup,inradialsymmetry,areconstructedinthispaper.WiththepreviousresultsfortheanalyticalblowupsolutionsoftheN-dimensional(N≥2)Navier-Stokesequations,weextendthesimilarstructuretoconstructananalyticalfamilyofsolutionsforthepressurelessNavier-Stokesequationswithanormalviscosityterm▽·(μ(ρ)|▽u|α▽u).

简介：Thispaperfocusesontheflowcharacteristicandlocalresistanceofnon-Newtonianpowerlawfluidinacurved90°bendpipewithcircularcross-sections,whicharewidelyusedinindustrialapplications.Byemployingnumericalsimulationandtheoreticalanalysisthepropertiesoftheflowandlocalresistanceofpowerlawfluidunderdifferentworkingconditionsareobtained.ToexplorethechangeruletheexperimentiscarriedoutbychangingtheReynoldsnumber,thewallroughnessanddifferentdiameterratioofelbowpipe.ThevariationofthelocalresistancecoefficientwiththeReynoldsnumber,thediameterratioandthewallroughnessispresentedcomprehensivelyinthepaper.TheresultsshowthatthelocalresistanceforcecoefficienthardlychangeswithReynoldsnumberofthepowerlawfluid;thewallroughnesshasasignificantimpactonthelocalresistancecoefficient.Asthepipewallroughnessincreasing,thecoefficientoflocalresistanceforcewillincrease.Themainreasonoftheinfluenceoftheroughnessonthelocalresistancecoefficientistheincreaseoftheeddycurrentregioninthepowerlawfluidflow,whichincreasesthekineticenergydissipationofthemainflow.Thispaperprovidestheoreticalandnumericalmethodstounderstandthelocalresistancepropertyofnon-Newtonianpowerlawfluidinelbowpipes.

简介：Astudyispresentedformagnetohydrodynamics(MHD)flowandheattransfercharacteristicsofaviscousincompressibleelectricallyconductingmicropolarfluidinachannelwithstretchingwalls.ThemicropolarmodelintroducedbyEringenisusedtodescribetheworkingfluid.Thetransformedselfsimilarordinarydiferentialequationstogetherwiththeassociatedboundaryconditionsaresolvednumericallybyanalgorithmbasedonquasi-linearizationandmultileveldiscretization.Theefectsofsomephysicalparametersontheflowandheattransferarediscussedandpresentedthroughtablesandgraphs.Thepresentinvestigationsmaybebeneficialintheflowandthermalcontrolofpolymericprocessing.

简介：Anumericalanalysisofnon-Newtonianfluidflowinnon-planararterywithbifurcationwasperformedbyusingafiniteelementmethodtosolvethethree-dimensionalNavier-Stokesequationscoupledwiththenon-Newtonianconstitutivemodels,includingCarreau,CrossandBinghammodels.Theobjectiveofthisstudyistoinvestigatetheeffectsofthenon-Newtonianpropertiesofbloodaswellascurvatureandout-of-planegeometryinthenon-planardaughtervesselsonthevelocitydistributionandwallshearstress.Theresultsofthisstudysupporttheviewthatthenon-planarityofbloodvesselsandthenon-Newtonianpropertiesofbloodareofimportantinhemodynamicsandplayasignificantroleinvascularbiologyandpathophysiology.

简介：介绍h--有限元素方法在混合变化明确的表达之上基于为的p三地司烧方程和线性化的非牛顿的流动。从问题H产生的代数学的系统的计算[潜水艇h]；方法论；结果和讨论。

简介：Twodimensionalequationsofsteadymotionforthirdorderfluidsareexpressedinaspecialcoordinatesystemgeneratedbythepotentialflowcorrespondingtoaninviscidfluid.Fortheinviscidflowaroundanarbitraryobject,thestreamlinesarethephicoordinatesandvelocitypotentiallinesarepsi-coordinateswhichformanorthogonalcurvilinearsetofcoordinates.Theoutcome,boundarylayerequations,isthenshowntobeindependentofthebodyshapeimmersedintotheflow.Asafirstapproximation,assumptionthatsecondgradetermsarenegligiblecomparedtoviscousandthirdgradeterms.Secondgradetermsspoilscalingtransformationwhichisonlytransformationleadingtosimilaritysolutionsforthirdgradefluid.ByusingLiegroupmethods,infinitesimalgeneratorsofboundarylayerequationsarecalculated.Theequationsaretransformedintoanordinarydifferentialsystem.NumericalsolutionsofoutcomingnonlineardifferentialequationsarefoundbyusingcombinationofaRunge-Kuttaalgorithmandshootingtechnique.

简介：这份报纸在3D学习非自治的不可压缩的非牛顿的液体的轨道asymptotic行为围住的领域。在适当拓扑学，作者为对统一轨道空间起作用的翻译semigroup证明一致轨道引起注意的人的存在。

简介：Thispaperpresentsananalyticalsolutiontotheunsteadyflowofthesecond-ordernon-Newtonianfluidsbytheuseofintergraltransformationmethod.Basedonthenumericalresults,theeffectofnon-NewtoniancoefficientHcandotherparametersontheflowareanalysed.Itisshownthattheannularflowhasashortercharacteristictimethanthegeneralpipeflowwhilethecorrespondentvelocity,averagevelocityhavea(?)allervalueforagivenHc.Else,whenradiiratiokeepsunchanged,theshearstressofinnerwallofannularflowwillchangewiththeinnerradiuscomparedwiththegeneralpipeflowandisalwayssmallerthanthatoftheouterwall.

简介：Thispaperstudiesmixedconvection,doubledispersionandchemicalreactioneffectsonheatandmasstransferinanon-Darcynon-Newtonianfluidoveraverticalsurfaceinaporousmediumundertheconstanttemperatureandconcentration.Thegoverningboundarylayerequations,namely,momentum,energyandconcentration,areconvertedtoordinarydifferentialequationsbyintroducingsimilarityvariablesandthenaresolvednumericallybymeansoffourth-orderRunge-Kuttamethodcoupledwithdouble-shootingtechn...

简介：Theunsteadyflowofviscousincompressibleshear-thinningnon-Newtonianfluidwithmixedboundaryisinvestigated.Theboundaryconditionontheoutflowisthemodifiednaturalboundarycondition,itcontainstheadditionalnonlinearterm,whichenablesustocontrolthekineticenergyofthebackwardflow.Theglobalexistenceofweaksolutionisproved.Thefictitiousdomainmethodwhichconsistsinfillingthemovingrigidscrewswiththesurroundingfluidandtakingintoaccounttheboundaryconditionsonthesebodiesbyintroducingawell-chosendistributionofboundaryforcesisused.