Mathematical modelling of macrosegregation in binary alloys induced by convection

Junior, Assunção; Oliveira, Marcelo Tempesta de

doi:10.11606/t.55.2021.tde-27042021-124813

Cited by 1 publication

(1 citation statement)

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“…Lastly, we note that computations for which τ 0 = 10 −4 , N = 100, ε = 10 −2 were found to require less than 300 s on a laptop with an Intel Core i7-9750HQ CPU 2.60 GHz processor and 16 GB RAM. More details are given in [4].…”

Section: Discussionmentioning

confidence: 99%

On macrosegregation in a binary alloy undergoing solidification shrinkage

Assunção

Vynnycky

2023

Eur. J. Appl. Math

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

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Section: Discussionmentioning

confidence: 99%