Biaxial nematic liquid crystals and their numerical solution
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Author(s): |
Total Authors: 4
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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
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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 |