On macrosegregation in a binary alloy undergoing solidification shrinkage

نویسندگان

چکیده

Abstract The one-dimensional transient solidification of a binary alloy undergoing shrinkage is well-known as an invaluable benchmark for the testing numerical codes that model macrosegregation. Here, recent work considered small-time behaviour this problem extended until complete solidification, thereby determining solute profile across entire solidified domain. solution used initial condition integration having three moving boundaries. Of particular significance so-called inverse segregation observed at start and extreme end; in case example presented, which often-cited Al–Cu system, macrosegregation found to be positive or negative, depending on whether Scheil’s equation lever rule assumed microscale, respectively. relevance these results modelling steady-state continuous casting processes – particular, phenomenon centreline also discussed.

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ژورنال

عنوان ژورنال: European Journal of Applied Mathematics

سال: 2023

ISSN: ['0956-7925', '1469-4425']

DOI: https://doi.org/10.1017/s0956792523000050