Cruz, P. A. and Tome, M. F. and Stewart, I. W. and McKee, S. (2011) *Numerical investigation of directory orientation and flow of nematic liquid crystals in 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: | 42051 |

Keywords: | anisotropic fluids, two-dimensional flow, leslie equations, ericksen, constitutive equations, nematic liquid crystal, simulation, finite difference, free-surface flows, numerical investigation, directory orientation , flow, planar 1:4 expansion, Ericksenâ€“Leslie equations, finite difference , Mathematics, Mechanics of Materials, Mechanical Engineering |

Subjects: | Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Pure Administrator |

Date Deposited: | 14 Nov 2012 15:58 |

Last modified: | 05 Sep 2014 18:47 |

URI: | http://strathprints.strath.ac.uk/id/eprint/42051 |

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