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

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

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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.