Ahmad, N.Combeau, H.Desbiolles, J.-L.Jalanti, T.Lesoult, G.Rappaz, J.Rappaz, M.Stomp, C.2005-11-222005-11-222005-11-22199810.1007/s11661-998-0143-9https://infoscience.epfl.ch/handle/20.500.14299/220364Micro-macrosegregation calculations have been performed for a rectangular cavity containing either a Pb-48 wt pct Sn alloy or a Sn-5 wt pct Pb alloy. The numerical results calculated with a finite volume method (FVM) and a finite element method (FEM) are compared with experimental results previously obtained by Hebditch and Hunt.([1]) The two methods are based on the same average conservation equations governing heat and mass transfer and the same assumptions: lever rule, equal and constant density of the solid and liquid phases (except in the buoyancy term), permeability of the mushy zone given by the Carman-Kozeny relation, and no transport of the solid phase. Although the same parameters are used in both calculations, small differences are observed as a result of the different formulations. In particular, the instabilities appearing in the mushy zone (channels) of the Sn-5 wt pct Pb alloy are more pronounced with the FVM formulation as compared with FEM, whereas the opposite trend is observed for the Pb-48 wt pct Sn alloy. Nevertheless, the final segregation maps at the end of solidification compare fairly well with the experimental findings.EQUIAXED DENDRITIC SOLIDIFICATIONBINARY ALLOY SOLIDIFICATIONNH4CL-H2O ANALOG CASTINGSPB-SN ALLOYSTHERMOSOLUTAL CONVECTIONMUSHY ZONEINVERSE SEGREGATIONCONTINUUM MODELLIQUIDFLOWtext::journal::journal article::research article