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

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

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Author(s):
Cruz, Pedro A. [1] ; Tome, Murilo F. [1] ; Stewart, Iain W. [2] ; McKee, Sean [2]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: Journal of Non-Newtonian Fluid Mechanics; v. 165, n. 3-4, p. 143-157, FEB 2010.
Web of Science Citations: 5
Abstract

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)

FAPESP's process: 04/16064-9 - Mechanics of non-stationary fluids: applications in aeronautics and rheology
Grantee:José Alberto Cuminato
Support type: Research Projects - Thematic Grants
FAPESP's process: 07/07038-2 - Numerical solution nematic liquid crystal
Grantee:Pedro Alexandre da Cruz
Support type: Scholarships in Brazil - Doctorate