### Numerical Modelling Of The Concurrent Effect Of Solid Deformation And Melt Flowon Heat And Solute Transfer In Binary Alloys, With Application To The Secondary Cooling Stage Of Steel Slabs Continuous Casting.

#### Abstract

We introduce a thermo-mechanical and macrosegregation model that considers a solidifying

alloy as a binary mixture made of a liquid and a solid phase. Macroscopic conservation laws

for mass, momentum and solute are obtained by spatial averaging of the respective microscopic

conservation equations. Assuming local thermal equilibrium, a single equation for the conservation

of the mixture energy is then written. A single equation can be obtained for the solute as

well by invoking a proper microsegregation rule. The numerical implementation in a 2D finite

element code is then detailed. In order to validate the two-phase mechanical model, an academic

problem is solved. Lastly, an industrial application for continuous casting of steel slabs

is shown, where the ability of the formulation to describe the formation of central macrosegregation

during the secondary cooling of slab continuous casting processes is enlightened.

alloy as a binary mixture made of a liquid and a solid phase. Macroscopic conservation laws

for mass, momentum and solute are obtained by spatial averaging of the respective microscopic

conservation equations. Assuming local thermal equilibrium, a single equation for the conservation

of the mixture energy is then written. A single equation can be obtained for the solute as

well by invoking a proper microsegregation rule. The numerical implementation in a 2D finite

element code is then detailed. In order to validate the two-phase mechanical model, an academic

problem is solved. Lastly, an industrial application for continuous casting of steel slabs

is shown, where the ability of the formulation to describe the formation of central macrosegregation

during the secondary cooling of slab continuous casting processes is enlightened.

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Güemes 3450

S3000GLN Santa Fe, Argentina

Phone: 54-342-4511594 / 4511595 Int. 1006

Fax: 54-342-4511169

E-mail: amca(at)santafe-conicet.gov.ar

**Asociación Argentina de Mecánica Computacional**Güemes 3450

S3000GLN Santa Fe, Argentina

Phone: 54-342-4511594 / 4511595 Int. 1006

Fax: 54-342-4511169

E-mail: amca(at)santafe-conicet.gov.ar

**ISSN 2591-3522**