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Solution landscapes in nematic microfluidics

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Crespo, Mª and Majumdar, A. and Ramos del Olmo, Ángel Manuel and Griffiths, I. M. (2017) Solution landscapes in nematic microfluidics. Physica D: nonlinear phenomena, 351-52 . pp. 1-13. ISSN 0167-2789

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Official URL: http://www.sciencedirect.com/science/article/pii/S0167278916303761


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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.


Item Type:Article
Uncontrolled Keywords:Leslie–Ericksen model; Nematic microfluidics; Asymptotic analysis; Anchoring strength
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:43786
Deposited On:05 Jul 2017 09:56
Last Modified:12 Dec 2018 15:06

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