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.
| Original language | English |
|---|---|
| Pages (from-to) | 1017-1030 |
| Number of pages | 14 |
| Journal | Journal of Mechanics of Materials and Structures |
| Volume | 6 |
| Issue number | 7-8 |
| DOIs | |
| Publication status | Published - Sep 2011 |
| Event | 11th Pan-American Congress of Applied Mechanics (PACAM)/48th Meeting of the Society-for-Natural-Philosophy (SNP) - Foz do Iguacu, Brazil Duration: 4 Jan 2010 → 8 Jan 2010 |
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
- Ericksen–Leslie equations
- finite difference