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 0377-0257Full text not available in this repository. (Request a copy from the Strathclyde author)
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 ; Tomé et al. ). 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.
|Keywords:||Three-dimensional flow, Ericksen–Leslie equations, Nematic liquid crystal, Finite difference, Analytic solution, Mathematics, Materials Science(all), Chemical Engineering(all), Mechanical Engineering, Applied Mathematics, Condensed Matter Physics|
|Subjects:||Science > Mathematics|
|Department:||Faculty of Science > Mathematics and Statistics|
|Depositing user:||Mrs Carolynne Westwood|
|Date Deposited:||13 Oct 2010 13:43|
|Last modified:||27 Apr 2016 15:48|