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

Autor(es)

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

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, ICMC, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 13, n. 2, p. 429-450, JUL 2005.
• Citações Web of Science: 7

Resumo

We consider a tridimensional phase-field model for a solidification/melting non-stationary process, which incorporates the physics of binary alloys, thermal properties and fluid motion of non-solidified material. The model is a free-boundary value problem consisting of a highly non-linear parabolic system including a phase-field equation, a heat equation, a concentration equation and a variant of the Navier-Stokes equations modified by a penalization term of Carman-Kozeny type to model the flow in mushy regions and a Boussinesq type term to take into account the effects of the differences in temperature and concentration in the flow. A proof of existence of generalized solutions for the system is given. For this, the problem is firstly approximated and a sequence of approximate solutions is obtained by Leray-Schauder's fixed point theorem. A solution of the original problem is then found by using compactness arguments. (AU)

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