Cruz, Pedro A. and Tome, Murilo F. and Stewart, Iain and Mckee, Sean (2011) *Numerical investigation of director orientation and flow of nematic liquid crystal in a planar 1:4 expansion.* Journal of Mechanics of Materials and Structures, 6 (7-8). pp. 1017-1030. ISSN 1559-3959

## Abstract

Numerical solutions to the equations describing Ericksen–Leslie dynamic theory for 2D nematic liquid crystal flows subject to a magnetic field are obtained. The governing equations are solved by a finite difference technique based on the GENSMAC methodology. The resulting numerical technique was verified by comparing numerical solutions for 2D-channel flow by means of mesh refinement. To demonstrate the capabilities of this method, the flow of a nematic liquid crystal in a planar 1:4 expansion was simulated. Calculations were performed for various Ericksen and Reynolds numbers. The results showed that an increase in the Ericksen number caused the appearance of lip and corner vortices.

Item type: | Article |
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ID code: | 37722 |

Keywords: | nematic liquid crystal, Ericksen–Leslie equations , finite difference , two-dimensional flow, Probabilities. Mathematical statistics, Mechanics of Materials, Mechanical Engineering |

Subjects: | Science > Mathematics > Probabilities. Mathematical statistics |

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Pure Administrator |

Date Deposited: | 20 Feb 2012 10:07 |

Last modified: | 05 Sep 2014 15:10 |

URI: | http://strathprints.strath.ac.uk/id/eprint/37722 |

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