Cruz, P.A. and Tome, M.F. and Stewart, I.W. and McKee, S. (2010) A numerical method for solving the dynamic three-dimensional Ericksen-Leslie equations for nematic liquid crystals subject to a strong magnetic field. Journal of Non-Newtonian Fluid Mechanics, 165 (3-4). pp. 143-157. ISSN 0377-0257
Full text not available in this repository. (Request a copy from the Strathclyde author)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 (Tomé and McKee [32]; Tomé 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.
| Item type: | Article |
|---|---|
| ID code: | 28111 |
| Keywords: | Three-dimensional flow, Ericksen–Leslie equations, Nematic liquid crystal, Finite difference, Analytic solution, Mathematics |
| Subjects: | Science > Mathematics |
| Department: | Faculty of Science > Mathematics and Statistics |
| Related URLs: | |
| Depositing user: | Mrs Carolynne Westwood |
| Date Deposited: | 13 Oct 2010 14:43 |
| Last modified: | 04 Oct 2012 13:24 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/28111 |
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