Numerical investigation of directory orientation and flow of nematic liquid crystals in planar 1:4 expansion

P. A. Cruz, M. F. Tome, I. W. Stewart, S. McKee

Research output: Contribution to journalConference Contribution


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 languageEnglish
Pages (from-to)1017-1030
Number of pages14
JournalJournal of Mechanics of Materials and Structures
Issue number7-8
Publication statusPublished - Sep 2011
Event11th Pan-American Congress of Applied Mechanics (PACAM)/48th Meeting of the Society-for-Natural-Philosophy (SNP) - Foz do Iguacu, Brazil
Duration: 4 Jan 20108 Jan 2010



  • 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

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