简介:Newmathematicaldiffusionmodelsforsolidstatehomogenizationofdendritesegregationwerepresentedtocalculatetheconcentrationevolutionofalloyingelementsduringsolid-statehomogenizationofdendritesegregationinanycrosssectionofathree-dimensionaldendritesystem.Withmathematicalaccumulation,alltheindividualconcentrationprofilesofeverydendritecanbeaccumulatedtoformaconcentrationequation,whichmayberequiredbysinemodelornot.Thendiffusionhomogenizationprocessesforanycrosssectionsofdendritesinsolidstatecanbecalculatedfromtheequation.TheonlyassumptionofthenewmodelswasthatanyindividualconcentrationprofileinadendritesystemcouldbesimulatedbyGaussequationofFick-2law.