Numerical Simulation of Macrosegregation : a Comparison between FVM and FEM Predictions and a Confrontation with Experiments
Micro-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.() 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.
Keywords: EQUIAXED DENDRITIC SOLIDIFICATION ; BINARY ALLOY SOLIDIFICATION ; NH4CL-H2O ANALOG CASTINGS ; PB-SN ALLOYS ; THERMOSOLUTAL CONVECTION ; MUSHY ZONE ; INVERSE SEGREGATION ; CONTINUUM MODEL ; LIQUID ; FLOW
Ecole Polytech Fed Lausanne, Chaire Anal & Simulat Numer, CH-1015 Lausanne, Switzerland. Ecole Polytech Fed Lausanne, Met Phys Lab, CH-1015 Lausanne, Switzerland. Ecole Mines, Sci & Genie Mat Met Lab, INPL, F-54042 Nancy, France. Ahmad, N, Ecole Polytech Fed Lausanne, Chaire Anal & Simulat Numer, CH-1015 Lausanne, Switzerland.
ISI Document Delivery No.: YZ133
Times Cited: 21
Cited Reference Count: 54
Record created on 2005-11-22, modified on 2016-08-08