简介:Thepaperproposesaphysicalmodelforthemotionofthecontactlineandthegas-liquidinterface.Thelocalmotionofthecontactlineatthesolidwallisassumedandtheinterfacebetweengasandliquidistracedbyalevelfunction.Thefinitevolumemethodandstaggeredgridsareusedtosolvethegoverningequationnumerically.Themotionofthewatercolumninaverticalpipeiscomputedandtheresultsareingoodagreementwithexperimentaldata.
简介:Inthelightofφ-mappingmethodandtopologicalcurrenttheory,theeffectofdisclinationlinesonthefreeenergydensityofnematicliquidcrystalsisstudied.ItispointedoutthatthetotalFrankfreeenergydensitycanbedividedintotwoparts.Oneisthedistortedenergydensityofdirectorfieldaroundthedisclinationlines.Theotheristhesaddle-splayenergydensity,whichisshowntobecentralizedatthedisclinationlinesandtobetopologicallyquantizedintheunitofkπ/2whentheJacobiandeterminantofthedirectorfielddoesnotvanishatthesingularitiesofthedirectorfield.ThetopologicalquantumnumbersaredeterminedbytheHopfindicesandBrouwerdegreesofthedirectorfieldatthedisclinationlines,i.e.,thedisclinationstrengthes.WhentheJacobiandeterminantvanishes,thegeneration,annihilation,intersection,splittingandmergingprocessesofthesaddle-splayenergydensityaredetailedintheneighborhoodsofthelimitpointsandbifurcationpoints,respectively.Itisshownthatthedisclinationlinewithhightopologicalquantumnumberisunstableandwillevolvetothelowtopologicalquantumnumberstatesthroughthesplittingprocess.
简介:ThreesynchrotronradiationbeamlineshavebeenbuiltonDAΦNE,theFrascatielectron-positronaccelerator.ItisPossibletomonitorandcontrolalltheelementsonthebeamlinesusingamodularnetworkdistributedI/OsystembyNationalInstrunments(FieldPoint)withBridgeVIEW/LabVIEWprograms,Twoofthesebeamlineshaveradiationsafetyproblemssolvedbytwoindependentandredundantsystems,usingmechanicalswitches,andS7-200PLC'sbySiemens.Inthisarticleoursolutionwillbedescribedindetails.
简介:ImprovementofCurrentMeasurementonControlSystemforBeam-linesofHIRFL¥ChenYunandZhangWeiThecontrolsystemofthepowersuppliesforthe...
简介:Inthelightofφ-mappingmethodandtopologicalcurrenttheory,thecontributionofdisclinationlinestofreeenergydensityofliquidcrystalsisstudiedinthesingle-elasticconstantapproximation.Itispointedoutthatthetotalfreeenergydensitycanbedividedintotwoparts.Oneistheusualdistortedenergydensityofdirectorfieldaroundthedisclinationlines.Theotheristhefreeenergydensityofdisclinationlinesthemselves,whichisshowntobecentralizedatthedisclinationlinesandtobetopologicallyquantizedintheunitofkπ/2.ThetopologicalquantumnumbersaredeterminedbytheHopfindicesandBrouwerdegreesofthedirectorfieldatthedisclinationlines,i.e.thedisclinationstrengths.FromtheLagrange'smethodofmultipliers,theequilibriumequationandthemolecularfieldofliquidcrystalsarealsoobtained.ThephysicalmeaningoftheLagrangianmultiplierisjustthedistortedenergydensity.