An asymptotic approach to solidification shrinkage-induced macrosegregation in the continuous casting of binary alloys

Vynnycky, Michael; Saleem, Saud; Fredriksson, Hasse

doi:10.1016/j.apm.2017.10.012

Cited by 19 publications

(11 citation statements)

References 33 publications

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“…Although the analysis is algebraically somewhat lengthy, the computational load is not; moreover, because of the hybrid analytical-numerical method used, there is no possibility for any numerical diffusion or dispersion. The situation considered in [23] is similar to that in Figure 4, although with no superheat, so that there is only a mushy zone and a fully solidified region. Moreover, the lever rule is assumed for microsegregation at the microscale, and it is demonstrated analytically that the leading-order solute at the macroscale is also given by the lever rule.…”

Section: Macrosegregationmentioning

confidence: 95%

“…Consequently, the resulting non-uniform solute profile can be obtained as the second term in a regular perturbation series in ε. As a result, and as shown in [23], there is therefore no need to resort to CFD to compute the Darcy-damped Navier-Stokes equations for modelling the melt and the mushy zone. Although the analysis is algebraically somewhat lengthy, the computational load is not; moreover, because of the hybrid analytical-numerical method used, there is no possibility for any numerical diffusion or dispersion.…”

Section: Macrosegregationmentioning

confidence: 99%

“…• the fact that the model in [23] does not include superheat, whereas the model in [80] had a superheat of 27 K; • in [80], numerical issues associated with the use of CFD, of the type mentioned earlier; and • the fact that the geometry in question, which has an aspect ratio of six, is not slender enough for the asymptotic approach to be valid.…”

Section: Macrosegregationmentioning

confidence: 99%

“…Figure 14. Comparison of the macrosegregation profiles obtained in [80], using the linearized and non-linearized phase diagrams for the Al-Cu system, and using the asymptotic model in [23].…”

Section: Macrosegregationmentioning

confidence: 99%

“…Moreover, although the use of asymptotic methods for the modelling of continuous casting is not unknown, it remains somewhat limited to fluid flow and heat transfer aspects [12][13][14][15][16][17][18][19][20]. Thus, the goal here is to review recent activity in this area, based primarily on the activities of the author and co-workers [21][22][23][24][25][26][27][28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

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Applied Mathematical Modelling of Continuous Casting Processes: A Review

Vynnycky

2018

Metals

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With readily available and ever-increasing computational resources, the modelling of continuous casting processes-mainly for steel, but also for copper and aluminium alloys-has predominantly focused on large-scale numerical simulation. Whilst there is certainly a need for this type of modelling, this paper highlights an alternative approach more grounded in applied mathematics, which lies between overly simplified analytical models and multi-dimensional simulations. In this approach, the governing equations are nondimensionalized and systematically simplified to obtain a formulation which is numerically much cheaper to compute, yet does not sacrifice any of the physics that was present in the original problem; in addition, the results should agree also quantitatively with those of the original model. This approach is well-suited to the modelling of continuous casting processes, which often involve the interaction of complex multiphysics. Recent examples involving mould taper, oscillation-mark formation, solidification shrinkage-induced macrosegregation and electromagnetic stirring are considered, as are the possibilities for the modelling of exudation, columnar-to-equiaxed transition, V-segregation, centreline porosity and mechanical soft reduction.

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Section: Macrosegregationmentioning

confidence: 95%

Section: Macrosegregationmentioning

confidence: 99%

Section: Macrosegregationmentioning

confidence: 99%

Section: Macrosegregationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Applied Mathematical Modelling of Continuous Casting Processes: A Review

Vynnycky

2018

Metals

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Effect of Horizontal Continuous Casting Parameters on Cyclic Macrosegregation, Microstructure, and Properties of High-Strength Cu–Mg Alloy Cast Rod

Strzępek,

Mamala,

Boumerzoug

et al. 2024

Metall Mater Trans A

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The objective of this paper is to present the effect of horizontal continuous casting parameters on macrosegregation and its effect on microstructures, textures, mechanical properties, and electrical resistivity of Cu–Mg alloy rod. By increasing the pulling distance and intermittent extraction time, chemical macrosegregation was observed along the longitudinal section of the cast rod, which reached a distance of 40 mm. Three areas were identified along the length of the material, especially at high pulling distance: with decreasing, quasi-stable, and increasing Mg concentration area. As the pulling distance increased, the difference in the observed extreme values of Mg concentration increased. Two distinct zones of different grain size were also observed. The first zone was formed of large columnar grains with a preferred direction of solidification $$\langle 100\rangle$$ ⟨ 100 ⟩ inclined to the axis of the wire, followed by a second zone formed of small grains of random texture. Consequently, difference in resistivity occurred from one zone to another and the resistivity increased from 37.5 to 41 nΩm. Likewise, the hardness varied between the values of 90 up and 110 Hv. The most homogenous chemical composition was obtained with up to 6 mm of pulling distance and up to 3 seconds of intermittent extraction time.

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Modeling the Effect of Combined Electromagnetic Stirring Modes on Macrosegregation in Continuous Casting Blooms

Guan

Zhu

2020

Metall Mater Trans B

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An asymptotic approach to solidification shrinkage-induced macrosegregation in the continuous casting of binary alloys

Cited by 19 publications

References 33 publications

Applied Mathematical Modelling of Continuous Casting Processes: A Review

Applied Mathematical Modelling of Continuous Casting Processes: A Review

Effect of Horizontal Continuous Casting Parameters on Cyclic Macrosegregation, Microstructure, and Properties of High-Strength Cu–Mg Alloy Cast Rod

Modeling the Effect of Combined Electromagnetic Stirring Modes on Macrosegregation in Continuous Casting Blooms

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