Mould-taper asymptotics and air gap formation in continuous casting

Florio, Brendan J.; Vynnycky, Michael; Mitchell, Sarah; O’Brien, S.

doi:10.1016/j.amc.2015.07.011

Cited by 11 publications

(8 citation statements)

References 22 publications

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“…Therefore, in a process whose boundary conditions and particularly temperature change markedly, the cross‐section slice models have been replaced by longitudinal‐section models, due to accuracy and computation time considerations. This is particularly so in the case of wide slabs and round billets problems, where plain and axisymmetric temperature and displacements assumptions exhibit satisfactory results …”

Section: Solution Of the Efg Formulation For The CC Processmentioning

confidence: 93%

“…This work represents a clear example of the importance of the thermal‐mechanical analysis to predict the dangerous cracking zones. On the other hand, Vynnycky and coworkers have formulated a semi‐analytical asymptotic thermal‐mechanical model to predict the formation and evolution of the air gap along a vertical continuous caster of cylindrical geometry. Their work has also been extended in order to include the effect of mold taper.…”

Section: Introductionmentioning

confidence: 99%

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Stress Analysis of a Continuous Casting Process, on the Basis of the Element‐Free Galerkin Formulation

Hostos

Puchi-Cabrera

Bencomo

2016

steel research int.

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The present work has been conducted in order to develop an alternative solution to the thermal‐mechanical problem in a conventional continuous casting (CC) process using the element‐free Galerkin (EFG) method. The linear momentum balance equation has been developed on the basis of this global weak formulation. The resulting equation system has been adapted to an axisymmetric stress–strain distribution over a round billet into the mold region. The constitutive laws, nonlinear aspects, path‐dependent variables, and boundary conditions have been specified. Finally, the model has been solved under a mixed Eulerian–Lagrangian description in order to estimate the mechanical behavior of the billet during the CC process. A brief discussion on the importance of including the field forces into the analysis is also presented. The results have revealed that this technique could be used successfully in the modeling of continuous casting thermal‐mechanical problems. The solution by means of this formulation has exhibited a remarkable sensitivity with the casting parameters and the approach implemented to compute inelastic strains during the δ ferrite–austenite transformation.

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Section: Solution Of the Efg Formulation For The CC Processmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Stress Analysis of a Continuous Casting Process, on the Basis of the Element‐Free Galerkin Formulation

Hostos

Puchi-Cabrera

Bencomo

2016

steel research int.

View full text Add to dashboard Cite

show abstract

“…In [28,29], the interplay of melt superheat and mould taper was considered for an axisymmetric continuous casting geometry, although we just focus on the effect of mould taper itself for one particular value of superheat here. Figure 8a shows the different taper profiles considered; here, M is a dimensionless parameter related to the actual mould taper, in per cent/m, by…”

Section: Air Gap and Mould Tapermentioning

confidence: 99%

“…where α is the thermal expansion coefficient of the metal and ∆T is an appropriate temperature scale for the problem (see [28,29] for exact details). Figure 8b-d shows, respectively, how the position of the solid/air interface (r m ), the position of the solid/air interface (r a ) and the width of the air gap, a g : = r w (z) − r a (z) , vary with z for different values of M. Lastly, Figure 9 gives an idealized result: the minimum taper necessary to avoid any air gap at all, with Figure 8b also showing the profile for r m , denoted there byρ w , that this would correspond to.…”

Section: Air Gap and Mould Tapermentioning

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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Initial Solidification and Its Related Heat Transfer Phenomena in the Continuous Casting Mold

Wang

Zhu

Zhou

2017

steel research int.

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The initial solidification of molten steel in the mold is very important, as it is the origin of the final slab, which associates with the surface defects and determines the final quality of casting slab. In this article, six main topics, including the initial solidification study method, molten steel solidification, mold flux structure, fluid flow, oscillation marks formation, and breakout are reviewed with the purpose to explore the intrinsic mechanism of the complex initial solidification process and its related multi-phase heat transfer phenomena. The results summarized here can provide a foundational understanding of the initial solidification and heat transfer phenomena occurring in the continuous casting mold.

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Mould-taper asymptotics and air gap formation in continuous casting

Cited by 11 publications

References 22 publications

Stress Analysis of a Continuous Casting Process, on the Basis of the Element‐Free Galerkin Formulation

Stress Analysis of a Continuous Casting Process, on the Basis of the Element‐Free Galerkin Formulation

Applied Mathematical Modelling of Continuous Casting Processes: A Review

Initial Solidification and Its Related Heat Transfer Phenomena in the Continuous Casting Mold

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