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.([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.

Published in:
Metallurgical and Materials Transactions a-Physical Metallurgy and Materials Science, 29, 2, 617-630
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 2005-11-22, last modified 2018-03-18

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