Solution landscapes in nematic microfluidics

Crespo, M. and Majumdar, A. and Ramos, A.M. and Griffiths, I.M. (2017) Solution landscapes in nematic microfluidics. Physica D: Nonlinear Phenomena, 351-352. pp. 1-13. ISSN 0167-2789

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    Abstract

    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.