On The Formation of Macrosegregations in Unidirectionally Solidified Sn-Pb and Pb-Sn Alloys

Role of appropriate permeability model on numerical prediction of macrosegregation

“…planes at X 5 9.47, 8, 3.5, and 2 cm. It is noted here that the predictions of the present model compare favorably with the numerical results of Shahni et al [15] Overall, the agreement between the experimental data of Shahni et al and the model predictions is reasonable, though on a few planes, the match is only qualitative. However, the discrepancy is more toward the top right corner of the cavity.…”

“…This modified permeability model gave a fairly good match with experimental permeability data. It was used in the mathematical model to simulate the experiment of Krane and Incropera [16] and Shanhi et al, [15] and a satisfactory agreement could be obtained between predicted and experimental macrosegregation.…”

“…Using the generalized permeability function, the macrosegregation model was also used to simulate the experiments of Shahni et al [15] For this simulation, the secondary dendritic arm spacing was estimated from the cooling curves of Reference 15. Figure 11 shows the comparison of the macrosegregation profile along four vertical and Kozeny-Carman model with experimental data [26] for flow (a) parallel and (b) perpendicular to primary dendrite arm spacing.…”

“…The authors also employed West's correlation [25] in this study. Other researchers also used West's correlation, Shahani et al, [15] for example. The main advantage of this correlation is that it has been validated for the mushy region with the liquid fraction as high as 0.9.…”

“…[10][11][12][13][14][15] While the mixture method is simple to work with, the volume averaging method provides more insight into the physical basis of averaging. However, the preceding two approaches yield the same macroscopic equations.…”