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

## 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, Materials Science(all), Chemical Engineering(all), Mechanical Engineering, Applied Mathematics, Condensed Matter Physics |

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: | 02 Jan 2015 05:24 |

URI: | http://strathprints.strath.ac.uk/id/eprint/28111 |

### Actions (login required)

View Item |