简介：Inthispaper,perturbationmethodandFourier-cosine-expansionmethodareusedtosolvea3-DnonlinearproblemofasupercavitatingflowinaninclinedfieldofgravityatlargeFroudenumbers.Byexpandingthevelocitypotentialintoapowerseriesofasmallparameter,theoriginal3-Dnonlinearproblemisreducedtoanumberof2-Dones.Thesolutionsofthefirstthreeordersarederivedindetailandexpressedintermsofthecompleteellipticintegralsofthefirstandsecondkinds.Thentheboundaryintegralequationmethodisappliedtogetthenumericalsolutionsforeachorder.Computationalresultsareprovidedforsupercavitatingflowspastconesundervariousflowconditions.

简介：在这篇论文，在在低严肃下面的一辆矩形的坦克的液体sloshing的动力学被调查。基本频率和液体的sloshing的速度潜力被Fourier系列的扩大获得。力量的特征和液体作用于的时刻一辆矩形的坦克被分析。液体的sloshing的相等的机械模型ofspring-vibrator-damper与机械相等的原则被建立，数字结果被给。数字结果证明相等的sloshing团随严肃的增加增加，并且基本频率和相等的sloshing团随液体深度的增加增加。

简介：Thedynamicsofliquidsloshinginasphericaltankwithspacerunderlowgravitywasinvestigated.Byextendingthecharacteristicfunctions,thefrequenciesofliquidfree-sloshing,reactionforceandmomentsonthewalloftankwereobtained.Bymechanicalequivalentprinciple,theequivalentmodelsofspring-vibrator-damperofliquidsloshingweregiven.Thenumericalresultsobtainedshowwhenaspacerisinsertedinthetank,thesloshingfrequencyofliquidandthesloshingmassofliquidwilldecrease.

简介：Thedynamiccharacteristicsofliquidsloshinginatransverselyvibratingsphericaltankwithspacerunderlowgravitywereinvestigated.Byexpandingthecharacteristicfunctions,thefrequenciesandvelocitypotentialsofliquidfree-sloshingwereobtained.Thedynamicequationsandboundaryconditionsofliquidsloshinginthetraversevibrationalsphericaltankwithspacerunderlowgravitywerederived.Bymodifyingthevelocitypotentialsofliquidfree-sloshing,thevelocitypotentialsofliquidsloshinginthetraversevibratingsphericaltankwithaspacerwereobtained.Furthermore,theforcesandthemomentsactingontankwallweregiven.Thenumericalresultsshowwhenaspacerisinsertedinthetank,thesloshingfrequenciesofliquidandtheforcesactingontankwallwilldecrease,butthemomentofforcetothecentreofthetankwhichiscausedbytheforceofliquidactingonthespacerwilloccur.

简介：Thetransientgravitywavesduetoanimpulsivesourceinatwo-layerfluidsystemareinvestigatedanalytically.Thefluidisassumedtobeinviscidandincompressible.Thedensityofeachofthetwolayersisconstant.Fivedifferentboundaryconditionsareconsidered.Thedepthofeachofthetwolayersisinfiniteorfinite.Theupperfluidoffinitedepthiscoveredbyarigidlidorafreesurface.Basedontheassumptionofsmall-amplitudewaves,alinearsystemisestablished.Theintegralsolutionsforthefree-surfaceandinterfacialwavesareobtainedbymeansoftheFourier-Laplacetransform.Thecorrespondingasymptoticrepresentationsarederivedforlargetimewithafixeddistance-to-timeratiobytheStokesandScorermethodsofstationaryphase.Theanalyticalsolutionsshowthattherearetwodifferentmodes,namelythefree-surfaceandinterfacialwavemodes.Thewaveprofilesobserveddependontherelationbetweenthedistance-to-timeratioandthemaximalgroupvelocitiesandonthelimitingvaluesofthesecondderivativesofthefrequenciesaswell.

简介：Undertheconditionoflowgravitythecharacteristicsofliquidforcedsloshinginaturningsphericaltankwithaspacerwereinvestigated.Thestaticshapeoftheliquidsurfacewasanalyzed.Byexpandingthecharacteristicfunctions,thefrequenciesandvelocitypotentialofliquidfree-sloshingwerederived.Thegoverningequationsandboundaryconditionsfortheforcedsloshingofliquidunderthetankturningwereestablished.Thetransverseforceofliquidactingonthetankandthemomentofforcetothecentreofthetankwhichiscausedbytheforceofliquidactingonthespacerweregiven.Numericalresultswerecomparedwiththeonesofthesphericaltankwithoutaspacer.Theresultsshowthatwhenaspacerisinsertedinthetank,thesloshingfrequencyofliquidandthetransverseforceofliquidactingonthetankwilldecrease,butthemomentofforcetothecentreofthetankwhichiscausedbytheforceofliquidactingonthespacerwilloccur.

简介：Makingfulluseoffunctionalvariationswithvariabledomainforhandlingboththefreesurfaceandunknownpartofthedamwall,afamilyofvariationalprinciples(VPs)forthehybrid(direct-inverse)problemoffreesurfacespillwayflowundergravityisformulatedintermsofthepotentialfunctionΦ.Thistheoryoffersnewrationalandversatilewaysfordamde-signandasoundtheoreticalbasisfornumericalsolution,e.g.bythefiniteelementmethod(FEM).