Modeling of PB-40 WT% SN Solidification Using Explicit-Implicit Scheme


R. Pardeshi1,a, A. K. Singh1,b and P. Dutta2

1TRDDC, 54B, Hadapsar Ind. Estate, Pune, Maharashtra 411 013, India.

aravindra.pardeshi@tcs.com
bamarendra.singh@tcs.com

2Department of Mechanical Engineering, Indian Institute of Science, Bangalore 560 012, Karnataka, India.

pradip@mecheng.iisc.ernet.in

ABSTRACT

The present work focuses on the application of an explicit-implicit time stepping temperature-concentration coupling algorithm in the simulation of a side cooled solidification of a binary-eutectic alloy in a two-dimensional cavity. An explicit time-stepping scheme approach results in a local point-bypoint coupling scheme for the temperature and concentration fields that uses constitutive model for back diffusion in solid. The present method uses parameter model to account backdiffusion in the microsegregation model. The model is applied to the solidification of Pb-40 wt%Sn alloy, which has an initial composition near eutectic point, resulting in significant amount of eutectic solidification. Through this application, the performance of the explicit-implicit time-stepping scheme for simulating solidification under such a near-eutectic condition is evaluated. Results from the present method are compared with those in the literature data on Pb-40 wt%Sn solidification, and they show significant improvement in final macrosegregation prediction.



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