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Solution landscapes in nematic microfluidics

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 st...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1016/j.physd.2017.04.004

Authors


Majumdar, A More by this author
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Department:
Oxford, MPLS, Mathematical Institute
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Funding agency for:
Majumdar, A
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Funding agency for:
Majumdar, A
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Funding agency for:
Griffiths, I
Publisher:
Elsevier Publisher's website
Journal:
Physica D: Nonlinear Phenomena Journal website
Volume:
351-352
Pages:
1-13
Publication date:
2017-05-04
Acceptance date:
2017-04-25
DOI:
ISSN:
0167-2789
Pubs id:
pubs:692007
URN:
uri:701957b2-2a5b-417e-a302-1318636b51b7
UUID:
uuid:701957b2-2a5b-417e-a302-1318636b51b7
Local pid:
pubs:692007

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