On the local solute redistribution equation of macrosegregation, remelting and the formation of channel segregates

Vynnycky, Michael

doi:10.1016/j.ijheatmasstransfer.2022.122737

Cited by 6 publications

(2 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…was used in [37,38] to solve the problem of solidification of a pure material in the presence of natural convection in a two-dimensional cavity; although that problem involved only one moving boundary, it was still demanding in its own right, since the full Navier Stokes equations had to be solved in the liquid region.…”

Section: Numerical Considerations and Implementationmentioning

confidence: 99%

See 1 more Smart Citation

On macrosegregation in a binary alloy undergoing solidification shrinkage

Assunção

Vynnycky

2023

Eur. J. Appl. Math

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Numerical Considerations and Implementationmentioning

confidence: 99%

“…Even so, the situation is, in some ways, more complicated than that in [37,38]. Here, there are initially three domains: solid, mush and melt.…”

Section: Numerical Considerations and Implementationmentioning

confidence: 99%