简介:ThecomparativenumericalandanalyticalanalysisofscintillationindicesofthevortexLaguerre–GaussianbeamandthenonvortexdoughnutholeandGaussianbeamspropagatingintherandomlyinhomogeneousatmospherehasbeenperformed.Ithasbeenfoundthatthedependenceofthescintillationindexattheaxisoftheopticalvortexontheturbulenceintensityatthepathhastheformofaunitstep.Ithasbeenshownthatthebehaviorofscintillationsinthecrosssectionsofvortexandnonvortexbeamsdifferswidely.DespitethescintillationindexofvortexbeamshasbeencalculatedonlyforthesimplestLG10mode,theobtainedresultsarequitegeneral,becausetheydemonstratethemainpropertiesinherentinscintillationsofvortexbeamsofanytype.
简介:Basedonthegeneralsolutionofthree-dimensionalproblemsinpiezoelectricmedium,withthemethodofGreen’sfunctins,axisymmetricboundary-valueproblemsarediscussed.Thepurposeofthisresearchisforanalyzingtheeffectiveonmechanicsandelectricityofthepiezoelectricceramicscausedbyvoidsandinclusions.Thedisplacement,tractionandelectricGreen’sfunctionscorrespondingtocircularringloadsactingintheinteriorofapiezoelectricceramicareobtained.AcylindricalcoordinatesystemisemployedandHankeltransformareappliedwithrespecttoradialcoor-dinates.ExplicitsolutionsforGreen’sfunctionsarepresentedintermsofinfiniteintegralsofLipshitz-Hankeltype.Bysolvingatractionboundary-valueproblem,thesolutionschemeisillustrated.
简介:Theadsorptionoffreeacidoflowconcentrationbycrosslinkedchitosanresinwasfollowedbyelectrochemicalexperimentaltechnique.Theeffectofacidconcentrationandthemediaonadsorptionwasdiscussed.Theexperimentalresultsshowthatboththeapparentrateconstantandtheinteractionenergybetweentheadsorbentandadsorbatearedecreasedwhiletheconcentrationofhydrochloricacidisincreased.Intheadsorptionsystem.theadsorptionwaseffectedbyaddiitonoforganicsolvent.
简介:Asequentialstatisticalapproachwasappliedtooptimizingthefermentationmediumofepothilones(Epos)productionbymeansofamutantwhichwasobtainedbytreatingpolyangiumcellulosumATCC15384withnitriteandultraviolet.Theeffectsofdifferentcarbonsourcesandnitrogensourcesonthefermentationmediumweretested,andthesuitableoneswereselected.Thenauniformdesignwasemployedtodesigntheexperiments.Alinearmodelwasdevelopedforidentifyingthesignificantcomponentsinfermentationmedium,whileathirddegreepolynomialmodelwasusedforstudyingtherelationshipbetweentheconcentrationofthecomponentsinfermentationmediumandtheyieldofEpos(YEPs).Apatternsearchmethodwasusedforsearchingtheoptimumfermentationmediuminthetestspace,whichwasasfollows(g/L):potassiumnitrate8.00,soybeanpeptone17.60,potassiumhydrogenphosphate1.00,beefextraction6.46,yeastextraction1.00,calciumchloride0.25,sodiumchloride1.00andferricchloride0.02.TheoptimumfermentationmediumwasexpectedtoresultinayieldofEpos(YEPs)of2.48mg/L.ThevalidationexperimentswiththeoptimummediumwereperformedintriplicateandtheaverageyieldofEposwas2.45mg/Lwhichwas7.78timeshigherthanthatofEpospreparedwithoutoptimization.
简介:AnanalysisispresentedwithmagnetohydrodynamicsnaturalconvectiveflowofaviscousNewtonianfluidsaturatedporousmediuminaverticalslot.TheflowintheporousmediahasbeenmodeledusingtheBrinkmanmodel.Thefully-developedtwo-dimensionalflowfromcappedtoopenendsisconsideredforwhichacontinuumofsolutionsisobtained.Theinfluenceofpertinentparametersontheflowisdelineatedandappropriateconclusionsaredrawn.Theasymptoticbehaviourandthevolumefluxareanalyzedandincorporatedgraphicallyforthethree-parameterfamilyofsolution.
简介:Thispaperconsiderstheexistenceandasymptoticestimatesofglobalsolutionsandfinitetimeblowupoflocalsolutionofnon-Newtonfiltrationequationwithspecialmediumvoidofthefollowingform:{ut/|x|^2-△pu=u^q,(x,t)∈Ω×(0,T),u(x,t)=0,(x,t)∈ЭΩ×(0,T),u(x,0)=u0(x),u0(x)≥0,u0(x)全不等于0,where△pu=div(|△↓u|^p-2△↓u),ΩisasmoothboundeddomaininR^N(N≥3),0∈Ω,2
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简介:ThispaperinvestigatestheunsteadyhydromagneticCouettefluidflowthroughaporousmediumbetweentwoinfinitehorizontalplatesinducedbythenon-torsionaloscillationsofoneoftheplatesinarotatingsystemusingboundarylayerapproximation.ThefluidisassumedtobeNewtonianandincompressible.Laplacetransformtechniqueisadoptedtoobtainaunifiedsolutionofthevelocityfields.Suchaflowmodelisofgreatinterest,notonlyforitstheoreticalsignificance,butalsoforitswideapplicatio...
简介:Basedonthetheoryofcomplexfunctionandtheprincipleofhomogenization,harmonicdynamicsstressofaradiallyinfiniteinhomogeneousmediumwithacircularcavityisinvestigated.Duetothesymmetry,wavevelocityisassumedtohavepower-lawvariationintheradialdirectiononly,andtheshearmodulusisconstant.TheHelmholtzequationwithavariablecoefficientisequivalentlytransformedintoastandardHelmholtzequationwithageneralconformaltransformationmethod(GCTM).Thedisplacementsandstressfieldsareproposed.Numericalresultsshowthatthewavenumberandtheinhomogeneityparameterofthemediumhavesignificanteffectsonthedynamicstressconcentrationaroundthecircularcavity.Thedynamicstressconcentrationfactor(DSCF)becomessingularwhentheinhomogeneityparameterofmediumisclosetozero.
简介:TheDonnelltheoryofshellwasappliedtodescribeshellmotion.Theinnerandoutershellswerestiffenedbytransversecomponents.Usingdeformationharmoniousconditionsoftheinterface,theeffectsofstiffenersweretreatedasreverseforcesandmomentsonthedoublecylindricalshell.Intheacousticfieldproducedbyvibrationandsoundradiationofthedoubleshell,thestructuredynamicequation,Helmholtzequationinthefluidfieldandthecontinuityconditionsofthesurfaceoffluid-structurecomposethevibrationequationcoupledbythesound-fluid-structure.Theextractofacousticpressurecomesdowntotheextractofcouplingvibrationequation.Thenearfieldacousticpressurecanbesolveddirectlybycomplicatedcalculationalmethods.
简介:Thispaperisconcernedwiththethermoelasticbehaviorsofanelasticmediumwithvariablethermalmaterialproperties.Theproblemisinthecontextoffractionalorderheatconduction.Thegoverningequationswithvariablethermalpropertieswereestablishedbymeansofthefractionalordercalculus.Theproblemofahalf-spaceformedofanelasticmediumwithvariablethermalmaterialpropertieswassolved,andasymptoticsolutionsinducedbyasuddentemperatureriseontheboundarywereobtainedbyapplyinganasymptoticapproach.Thepropagationsofthermoelasticwaveandthermalwave,aswellasthedistributionsofdisplacement,temperatureandstresseswereobtainedandplotted.Variationsinthedistributionswithdifferentvaluesoffractionalorderparameterwerediscussed.Theresultswerecomparedwiththoseobtainedfromthecaseofconstantmaterialpropertiestoevaluatetheeffectsofvariablematerialpropertiesonthermoelasticbehaviors.
简介:Theauthorsstudyaporousmediumequationwitharight-handside.TheoperatorhasnonlocaldiffusioneffectsgivenbyaninversefractionalLaplacianoperator.ThederivativeintimeisalsofractionalandisofCaputo-type,whichtakesintoaccount'memory'.TheprecisemodelisD_t~αu-div(u(-Δ)~(-σ)u)=f,0<σ<1/2.Thispaperposestheproblemover{t∈R~+,x∈R~n}withnonnegativeinitialdatau(0,x)≥0aswellastheright-handsidef≥0.Theexistenceforweaksolutionswhenf,u(0,x)haveexponentialdecayatinfinityisproved.ThemainresultisH¨oldercontinuityforsuchweaksolutions.