Solution landscapes in nematic microfluidics

M. Crespo, A. Majumdar, A.M. Ramos, I.M. Griffiths

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11 Citations (Scopus)
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We study the static equilibria of a simplified Leslie–Ericksen model for a unidirectional uniaxial nematic flow in a prototype microfluidic channel, as a function of the pressure gradient G and inverse anchoring strength, B. We numerically find multiple static equilibria for admissible pairs (G,B) and classify them according to their winding numbers and stability. The case G=0 is analytically tractable and we numerically study how the solution landscape is transformed as G increases. We study the one-dimensional dynamical model, the sensitivity of the dynamic solutions to initial conditions and the rate of change of G and B. We provide a physically interesting example of how the time delay between the applications of G and B can determine the selection of the final steady state.
Original languageEnglish
Pages (from-to)1-13
Number of pages13
JournalPhysica D: Nonlinear Phenomena
Early online date4 May 2017
Publication statusPublished - 1 Aug 2017


  • Leslie–Ericksen model
  • nematic microfluidics
  • asymptotic analysis
  • anchoring strength


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