A numerical method for solving the dynamic three-dimensional Ericksen-Leslie equations for nematic liquid crystals subject to a strong magnetic field

Autor(es)

Cruz, Pedro A. ^[1] ; Tome, Murilo F. ^[1] ; Stewart, Iain W. ^[2] ; McKee, Sean ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, Dept Matemat Aplicada & Estatist, Sao Carlos, SP - Brazil

^[2] Univ Strathclyde, Dept Math & Stat, Glasgow G1 1HX, Lanark - Scotland

• Tipo de documento: Artigo Científico
• Fonte: Journal of Non-Newtonian Fluid Mechanics; v. 165, n. 3-4, p. 143-157, FEB 2010.
• Citações Web of Science: 5

Resumo

A finite difference technique, based on a projection method, is developed for solving the dynamic three-dimensional Ericksen-Leslie equations for nematic liquid crystals subject to a strong magnetic field. The governing equations in this situation are derived using primitive variables and are solved using the ideas behind the GENSMAC methodology (Tome and McKee {[}32]; Tome et al. {[}34]). The resulting numerical technique is then validated by comparing the numerical solution against an analytic solution for steady three-dimensional flow between two-parallel plates subject to a strong magnetic field. The validated code is then employed to solve channel flow for which there is no analytic solution. (C) 2009 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 07/07038-2 - Solução numérica de cristais líquidos nemáticos
• Beneficiário: Pedro Alexandre da Cruz
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 04/16064-9 - Mecânica dos fluídos não estacionária: aplicações em aeronáutica e em reologia
• Beneficiário: José Alberto Cuminato
• Modalidade de apoio: Auxílio à Pesquisa - Temático