A bidimensional phase-field model with convection for change phase of an alloy

Autor(es)

Planas, G ^[1] ; Boldrini, JL ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, IMECC, BR-13083970 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Analysis and Applications; v. 303, n. 2, p. 669-687, MAR 15 2005.
• Citações Web of Science: 10

Resumo

The article analyzes a two-dimensional phase-field model for a non-stationary process of solidification of a binary alloy with thermal properties. The model allows the occurrence of fluid flow in non-solid regions, which are a priori unknown, and is thus associated to a free boundary value problem for a highly non-linear system of partial differential equations. These equations are the phase-field equation, the heat equation, the concentration equation and a modified Navier-Stokes equations obtained by the addition of a penalization term of Carman-Kozeny type which accounts for the mushy effects. A proof of existence of weak solutions for such system is given. The problem is firstly approximated and a sequence of approximate solutions is obtained by Leray-Schauder fixed point theorem. A solution is then found by using compactness argument. (C) 2004 Elsevier Inc. All fights reserved. (AU)

• Processo FAPESP: 97/13932-4 - Problemas de solidificacao com conveccao.
• Beneficiário: Gabriela Del Valle Planas
• Modalidade de apoio: Bolsas no Brasil - Doutorado