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(Reference retrieved automatically from SciELO through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Deterministic mathematical model for the prediction of the as-cast macrostructure

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Author(s):
Davi Teves Aguiar [1] ; Marcelo de Aquino Martorano [2]
Total Authors: 2
Affiliation:
[1] Universidade de São Paulo. Escola Politécnica. Departamento de Engenharia Metalúrgica e de Materiais
[2] Universidade de São Paulo. Escola Politécnica. Departamento de Engenharia Metalúrgica e de Materiais
Total Affiliations: 2
Document type: Journal article
Source: Rem: Revista Escola de Minas; v. 61, n. 4, p. 485-490, 2008-12-00.
Abstract

A multiphase deterministic mathematical model was implemented to predict the formation of the grain macrostructure during unidirectional solidification. The model consists of macroscopic equations of energy, mass, and species conservation coupled with dendritic growth models. A grain nucleation model based on a Gaussian distribution of nucleation undercoolings was also adopted. At some solidification conditions, the cooling curves calculated with the model showed oscillations ("wiggles"), which prevented the correct prediction of the average grain size along the structure. Numerous simulations were carried out at nucleation conditions where the oscillations are absent, enabling an assessment of the effect of the heat transfer coefficient on the average grain size and columnar-to-equiaxed transition. (AU)