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. SIAM Journal on Applied Mathematics, 83 (6). pp. 2284-2309. ISSN 0036-1399 (https://doi.org/10.1137/22M1490909)

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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 nonsingular nematic profiles for boundary conditions that do not allow for OR solutions. We compute asymptotic expansions for OR-type solutions for passive flows with nonconstant velocity and pressure, and active flows, which shed light on the internal structure of domain walls. The asymptotics are complemented by numerical studies that demonstrate the universality of OR-type structures in static and dynamic scenarios.

  • Item type:Article
    ID code:87091
    Dates:
    Date
    Event
    31 December 2023
    Published
    27 November 2023
    Published Online
    24 May 2023
    Accepted
    18 April 2022
    Submitted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:27 Oct 2023 13:07
    Last modified:22 Apr 2024 00:57
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/87091
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