|
|||||
 |
|
|
|
|
|
Numerical
investigation of director orientation and flow of nematic
liquid crystals in a planar 1:4 expansion
Pedro A. Cruz, Murilo F. Tomé, Iain W. Stewart and Sean McKee |
|
Vol. 6 (2011), No. 7-8, 1017–1030
|
Abstract |
|
[an error occurred while processing this directive]
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. |
Keywords
nematic liquid crystal, Ericksen–Leslie equations,
two-dimensional flow, finite difference
|
Milestones
Received: 13 August 2010
Revised: 13 December 2010
Accepted: 10 January 2011
Published: 21 December 2011
|
Authors |
| Pedro A. Cruz | |
| Department of Applied Mathematics
and Statistics University of São Paulo Av. Trabalhador São-carlense, 400 13560-970 São Carlos, SP Brazil |
|
| Murilo F. Tomé | |
| Department of Applied Mathematics
and Statistics University of São Paulo Av. Trabalhador São-carlense, 400 13560-970 São Carlos, SP Brazil |
|
| Iain W. Stewart | |
| Department Mathematics and
Statistics University of Strathclyde Livingstone Tower 26 Richmond street Glasgow G1 1XH United Kingdom |
|
| Sean McKee | |
| Department Mathematics and
Statistics University of Strathclyde Livingstone Tower 26 Richmond street Glasgow G1 1XH United Kingdom |
|
|
