Numerical investigation of director orientation and flow of nematic liquid crystal in a planar 1:4 expansion

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Cruz, Pedro A. and Tome, Murilo F. and Stewart, Iain W. 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 (https://doi.org/10.2140/jomms.2011.6.1017)

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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.

ORCID iDs

Cruz, Pedro A., Tome, Murilo F., Stewart, Iain W. ORCID logoORCID: https://orcid.org/0000-0002-4374-9842 and Mckee, Sean;
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