A multi-faceted study of nematic order reconstruction in microfluidic channels

Dalby, James and Han, Yucen and Majumdar, Apala and Mrad, Lidia (2023) A multi-faceted study of nematic order reconstruction in microfluidic channels. Preprint / Working Paper. arXiv.org, Ithaca, NY. (In Press) (https://doi.org/10.48550/arXiv.2204.07808)

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Abstract

We study order reconstruction (OR) solutions in the Beris-Edwards framework for nematodynamics, for both passive and active nematic flows in a microfluidic channel. OR solutions exhibit polydomains and domain walls, and as such, are of physical interest. We show that OR solutions exist for passive flows with constant velocity and pressure, but only for specific boundary conditions. We prove the existence of unique, symmetric and non-singular nematic profiles, for boundary conditions that do not allow for OR solutions. We compute asymptotic expansions for OR-type solutions for passive flows with non-constant velocity and pressure, and active flows, which shed light into the internal structure of domain walls. The asymptotics are complemented by extensive numerical studies that demonstrate the universality of OR-type structures in static and dynamic scenarios.

  • Item type:Monograph(Preprint / Working Paper)
    ID code:82770
    Dates:
    Date
    Event
    24 May 2023
    Published
    24 May 2023
    Accepted
    16 April 2022
    Submitted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:13 Oct 2022 16:33
    Last modified:25 Apr 2024 01:40
    URI:https://strathprints.strath.ac.uk/id/eprint/82770
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