简介:WithrespecttothecrestspillwaywithlargeunitdischargeandlowFroudenumber,thehydraulicsoftheslit-typeenergydissipaterattheoutletshouldbenoticedduetothecomplicatedflowregimes.Inthepresentpaper,someissuesabouthydrauliccharacteristicswereexperimentallyinvestigatedbymeansoffiveslit-typeoutletsandfourtetrahedrons,includingtheflowchoking,impacttoriverbanksandjettrajectory.Themainfindingsareasfollows.ThecriticalFroudenumberfortheflowchokingdecreaseswithincreasingoutletwidthoftheslit-typeenergydissipater.IftheflowFroudenumberisexpressedbytheparametersjustbeforethisenergydissipater,thetetrahedronplacedinsidethesidewalloftheoutletcouldefficientlyavoidtheflowimpacttotheriverbankofsameside,andcomparedwiththejettrajectoryoftheslit-typeenergydissipater,theoutletwithtetrahedronhasdifferenttrajectorytrend,i.e.,thedistanceofthejettrajectorydecreaseswiththeincreaseofthewaterheadduetospecialformoftheoutlettetrahedron.
简介:TheUSM-θmodelofpowerlawfluidfordensetwo-phaseturbulentflowwasdeveloped,whichcombinestheunifiedsecond-ordermomentmodelfortwo-phaseturbulencewiththeparticlekinetictheoryfortheinter-particlecollision.Thismodelwasusedtosimulatetheturbulentflowofpowerlawfluidsingle-phaseinpipe.ItisshownthattheUSM?θmodelhasbetterpredictionresultthanthekf?εf?kp?εp?θmodel.TheUSM?θmodelwasthenusedtosimulatethedensetwo-phaseturbulentupflowofpowerlawfluidwithparticles.Withtheincreaseoftheflowexponent,thevelocitiesofpowerlawfluidandparticlesincreasenearthepipecentre.Comparisonbetweenthetwo-phaseflowofpowerlawfluid-particleandofliquid-particleindicatesthattheaxialfluctuationvelocityoffluidphaseandparticlephaseinliquid-particletwo-phaseflowissmallerthanthatinthepowerlawfluidtwo-phaseflow,butthetwo-phasevelocitiesofpowerlawfluid-particleandliquid-particleareclosetoeachother.
简介:Ahigh-orderfinitedifferencePadéschemealsocalledcompactschemeforsolvingKorteweg-deVries(KdV)equations,whichpreserveenergyandmassconservations,wasdevelopedinthispaper.Thisstructure-preservingalgorithmhasbeenwidelyappliedintheseyearsforitsadvantageofmaintainingtheinheritedproperties.Forspatialdiscretization,theauthorsobtainedanimplicitcompactschemebywhichspatialderivativetermsmaybeapproximatedthroughcombiningafewknots.Bysomenumericalexamplesincludingpropagationofsinglesolitonandinteractionoftwosolitons,theschemeisprovedtobeeffective.
简介:Existingfarfieldexpressionsofsecondorderpotentialsarebynomeanscomplete.Hencetherehasbeennoexactfarfieldexpressionofsecondorderpotentials.InthispaperthefarfieldexpressionforΦd(2)ispurposelyavoidedindeducingtheformulaeofsecondorderforcesandaseriesoffunctionsΦdRnareused.Thefarfieldexpressionofisgiven,whichfor(x,U,z)∈Σ,φdRn(2)φd(2).Usingthesepropertiesformulaeforcalculatingsecondorderdiffractionforcesareobtained.Tocalculatetheintegral∫∫1/gfΨdsitisdividedintotwoparts.Oneistheintegraloverafinitedomainandthefunctionundertheintegraliscontinuous,sotheusualapproximateintegrationformulaemaybeused.Theotheristheintegraloveraninfinitedomain.Usingthefarfieldexpressionoffirstorderpotentials,formulaeforcalculatingtheintegraltomeetgivenaccuraciesaregiven.Themooringforceinsurgedirectionisusedforcomparisonbetweennumericalpredictionsandexperimentalmeasurements.Thepredictedresultsarecheckedagainstthemeasuredvalueinaspeciallydesignedtest.Inthelowfrequencydomainofinterest,themooringforcesinsurge,forcalculatedandexperimentalspectraareingoodconsistencysolongasthedampingcoefficientsischoosenappropriately.
简介:Basedonthenon-Darcyflowcharacteristicsofsurfactantfloodinginthelowpermeabilityoilfield,consideringthechangesofthresholdpressureandinfluenceofsurfactantonconvection,diffusion,adsorptionandretention,amathematicalmodelisestablishedforathree-dimensional,two-phase,three-componentsurfactantflooding.Anewtreatmentforthechangesofthresholdpressureandanovelcorrectionmethodfortherelativepermeabilitycurveintheprocessofsurfactantfloodingarederived,whichenhancesthematchingdegreebetweenthemathematicalmodelandfieldpractice.ThemathematicalmodelwasusedtoperformthenumericalsimulationstudyforapilottestofsurfactantfloodinginChao45BlockofDaqingOilfield,aproperinjectionplanwasoptimized.Aftertheoptimizedplanwascarriedoutinoilfield,thedesirableeffects,likepressure-reducing,injectionrateincrease,andtheincreaseofoilrecovery,wereachieved.Theaverageoilincreaseforsinglewellreaches37%,theratioofcosttorevenueisabove1:4,sotheeconomiceffectofscaleispromising.
简介:Thedynamicsofliquidsloshinginasphericaltankwithspacerunderlowgravitywasinvestigated.Byextendingthecharacteristicfunctions,thefrequenciesofliquidfree-sloshing,reactionforceandmomentsonthewalloftankwereobtained.Bymechanicalequivalentprinciple,theequivalentmodelsofspring-vibrator-damperofliquidsloshingweregiven.Thenumericalresultsobtainedshowwhenaspacerisinsertedinthetank,thesloshingfrequencyofliquidandthesloshingmassofliquidwilldecrease.
简介:Theboundaryelementmethod(BEM)isamainmethodforanalyzingtheinteractionsbetweenthewavesandthemarinestructures.AswiththeBEM,asetoflinearequationsaregeneratedwithafullmatrix,therequiredcalculationsandstorageincreaserapidlywiththeincreaseofthestructurescale.Thus,anacceleratedmethodwithalowstorageisdesirableforthewaveinteractionwithaverylargestructure.AsystematicreviewisgiveninthispaperfortheBEMforsolvingtheproblemofthewaveinteractionwithalargescalestructure.VariousintegralequationsarederivedbasedondifferentGreenfunctions,theadvantagesanddisadvantagesofdifferentdiscretizationschemesoftheintegralequationsbytheconstantpanels,thehigherorderelements,andthesplinefunctionsarediscussed.Forthehigherorderelementdiscretizationmethod,thespecialconcernsaregiventothenumericalcalculationsofthesingle-layerpotential,thedoublelayerpotentialandthesolidanglecoefficients.Foralargescalecomputationproblemsuchasthewaveinteractionwithaverylargestructureoralargenumberofbodies,theBEMswiththeFMMandpFFTaccelerationsarediscussed,respectively,includingtheprinciplesoftheFMMandthepFFT,andtheirimplementationsinvariousintegralequationswithdifferentGreenfunctions.Finally,somepotentialapplicationsoftheaccelerationmethodsforproblemswithlargescalecomputationsintheoceanandcoastalengineeringareintroduced.
简介:Avariablecoefficient,rotation-modifiedextendedKortweg-deVries(vReKdV)modelisappliedtothestudyoftheSouthChinaSea(SCS),withfocusontheeffectsofthehigh-order(cubic)nonlinearityandtherotationonthedisintegrationprocessoflarge-amplitude(170m)InternalSolitaryWaves(ISWs)andthesemi-diurnalinternaltidepropagatingfromthedeepbasinstationtotheslopeandshelfregionsinacontinuouslystratifiedsystem.Thenumericalsolutionsshowthatthehigh-ordernonlinearitysigni-ficantlyaffectsthewaveprofilebyincreasingthewaveamplitudeandthephasespeedinthesimulatedarea.ItisshownthattheinitialKdV-typeISWwilldecayfasterwhentherotationdispersionisconsidered,howeverthewaveprofiledoesnotchangesignificantlyandtherotationeffectisnotimportant.Thesimulationsofthesemi-diurnalinternaltideindicatethatthephaseofthewaveprofileisshiftedearlierwhentherotationeffectisincluded.Asolitarywavepacketemergesontheshelf,andthewavespeedisalsogreaterwhenconsideringtherotationdispersion.Inaddition,theeffectsofthebackgroundcurrentsarediscussedfurtherinthispaper.ItisfoundthatthebackgroundcurrentsgenerallychangethemagnitudeandoccasionallychangethesignofthenonlinearcoefficientsinthenorthernSCS.
简介:Thedynamiccharacteristicsofliquidsloshinginatransverselyvibratingsphericaltankwithspacerunderlowgravitywereinvestigated.Byexpandingthecharacteristicfunctions,thefrequenciesandvelocitypotentialsofliquidfree-sloshingwereobtained.Thedynamicequationsandboundaryconditionsofliquidsloshinginthetraversevibrationalsphericaltankwithspacerunderlowgravitywerederived.Bymodifyingthevelocitypotentialsofliquidfree-sloshing,thevelocitypotentialsofliquidsloshinginthetraversevibratingsphericaltankwithaspacerwereobtained.Furthermore,theforcesandthemomentsactingontankwallweregiven.Thenumericalresultsshowwhenaspacerisinsertedinthetank,thesloshingfrequenciesofliquidandtheforcesactingontankwallwilldecrease,butthemomentofforcetothecentreofthetankwhichiscausedbytheforceofliquidactingonthespacerwilloccur.
简介:Undertheconditionoflowgravitythecharacteristicsofliquidforcedsloshinginaturningsphericaltankwithaspacerwereinvestigated.Thestaticshapeoftheliquidsurfacewasanalyzed.Byexpandingthecharacteristicfunctions,thefrequenciesandvelocitypotentialofliquidfree-sloshingwerederived.Thegoverningequationsandboundaryconditionsfortheforcedsloshingofliquidunderthetankturningwereestablished.Thetransverseforceofliquidactingonthetankandthemomentofforcetothecentreofthetankwhichiscausedbytheforceofliquidactingonthespacerweregiven.Numericalresultswerecomparedwiththeonesofthesphericaltankwithoutaspacer.Theresultsshowthatwhenaspacerisinsertedinthetank,thesloshingfrequencyofliquidandthetransverseforceofliquidactingonthetankwilldecrease,butthemomentofforcetothecentreofthetankwhichiscausedbytheforceofliquidactingonthespacerwilloccur.
简介:Twonear-fieldmethods,namelytheintegralmethodanddifferentialmethod,werepresentedforgivingsecond-ordermeandriftforcesandmomentsbetweentwofixedsubmergedbodiesinregularwaves.Fortheintegralmethod,withaseriesofmathematicalmanipulations,second-orderdriftforcesandmomentscouldbeeasilyexpressedbydistributedsourceswhichcouldbecalculatedbysourcedistributiontechniqueswiththeassumptionthattheamplitudeofshipmotionsaresmallonthebasisofthelinear3Dfrequencytheory.Forthedifferentialmethod,driftforcesandmomentscouldbeexpressedbythederivativeofvelocitypotentialwithrespecttospacecoordinate.Becausetwobodieswouldbehaveasasinglebodywhiletheclearanceisverylarge,thenumericalresultsofonesphereinsuchcaseweregivenandcomparedwithanalyticalresultsofasinglespherewhichdoesnotinvolvetheeffectoffreesurface.Whensubmergeddepthbecomesenoughlarge,agoodagreementcanbereached.Thentheintegralmethodwasusedtopredictthesecond-orderdriftforcesandmomentsoftwosubmergedspheresandspheroidswithasmalllateralseparationdistanceinwavescomparedwiththenumericalresultsobtainedbythedifferentialmethodandtheyagreewell.Bycomparison,itindicatestheinteractioneffectsbetweentwosubmergedbodieshaveaprofoundinfluenceonthedriftforcesandmoments.Inthispaper,theforwardspeedeffectonsubmergedsphereswasalsoconsidered.
简介:Flowdistributionheadersplayamajorroleinheatexchangers.Theselectionofheaderdiameter,branchpipediameter,branchpipespacingetc.isbasedonthedesigner'sexperienceandgeneralguidelines.Theproperselectionoftheheaderdimensionswillyielduniformflowdistributioninheatexchangers,whichinturnwillenhancetheheatexchangerefficiency.Inthiswork,theflowdistributioninbranchpipesandthepressurevariationacrossthebranchpipesinlaminarandlowturbulenceregionisstudiedwithtwomodelsoftheinletdividingheaders.Whenthenumericalanalysishasbeenapplied,itsinabilitytopredictthenoflowconditionthroughthebranchpipesisrevealed.Theresultsarepresentedintheformofflowrateratiothroughbranchpipesandnondimensionalcoefficientsacrossbranchpipeswhichareusefultoapplytheexistingmathematicalmodelsforthepresentexperimentalsetup.
简介:Inthisarticle,thelowpressureaxialflowfanwithcircumferentialskewedrotorblade,includingtheradialblade,theforward-skewedbladeandthebackward-skewedblade,wasstudiedwithexperimentalmethods.Theaerodynamicperformanceoftherotorswasmeasured.Atthedesignconditionatoutletoftherotors,detailedflowmeasurementswereperformedwithafive-holeprobeandaHot-WireAnemometer(HWA).Theresultsshowthatcomparedtotheradialrotor,theforward-skewedrotordemonstratesawiderStableOperatingRange(SOR),isabletoreducethetotalpressurelossinthehubregionandmakemainloadingofbladeaccumulatinginthemid-spanregion.Thereisawiderwakeintheuppermid-spanregionoftheforward-skewedrotor.Comparedtotheradialrotor,inthebackward-skewedrotorthereishighertotalpressurelossnearthehubandshroudregionsandlowerlossinthemid-spanregion.Inaddition,thevelocitydeficitinthewakeisloweratmid-spanofthebackward-skewedrotorthantheforward-skewedrotor.
简介:Duringthedevelopmentoflowpermeabilityreservoirs.theinteractionbetweenfluidflowandrock-massdeformationisobvious.Onthebasisoffluidmechanicsinporousmediaandelasto-plastictheory.theauthorpresentsanequivalentcontinuummodeltosimulatefluidflowinfracturedlow-permeabilityoilreservoircoupledwithgeo-stress.Themodelnotonlyreflectstheporositychangeofmatrix,butalsothepermeabilitychangeduetotheopeningandclosingoffracture.Byanalyzingofsimulationresults,thechangesinporosityandpermeabilityandtheireffectonoildevelopmentarestudied.
简介:Inthepresentpaper,two-andthree-dimensionalvelocitypotentialsgeneratedbypulsatingpressuredistributionsofinfiniteextentonthefreesurfaceofinfinite-depthwatersarestrictlyderivedbasedonspecialcasesofconcentratedpulsatingpressure.Thefar-fieldasymptoticbehaviourofthepotentialsandtheradiationconditionstobesatisfiedbythemarediscussed.Itisprovedinageneralsensethatthepotentialsshouldbecomposedofaforcedwavecomponent,afreewavecomponentandalocaldisturbancecomponent.Theradiationconditionoftheforcedwavecomponentshouldcorrespondtothefar-fieldasymptoticbehaviourofthepressuredistribution,Hence,theformulationofradiationconditionsforthesecond-orderdiffractionpotentialshastheoreticallybecomeclear,Theradiationconditionsfortwo-andthree-dimensionalproblemsareexplicitlygiveninthepaper.