A Multifaceted Study of Nematic Order Reconstruction in Microfluidic Channels

James Dalby; Apala Majumdar; Yucen Han; Lidia Mrad

A Multifaceted Study of Nematic Order Reconstruction in Microfluidic Channels

James Dalby, Apala Majumdar^*, Yucen Han, Lidia Mrad

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	2284-2309
Journal	SIAM JOURNAL ON APPLIED MATHEMATICS
Volume	83
Issue number	6
Publication status	Published - 2023

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https://epubs.siam.org/doi/pdf/10.1137/22M1490909

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title = "A Multifaceted Study of Nematic Order Reconstruction in Microfluidic Channels",

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.",

author = "James Dalby and Apala Majumdar and Yucen Han and Lidia Mrad",

year = "2023",

language = "English",

volume = "83",

pages = "2284--2309",

journal = "SIAM JOURNAL ON APPLIED MATHEMATICS",

issn = "0036-1399",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "6",

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TY - JOUR

T1 - A Multifaceted Study of Nematic Order Reconstruction in Microfluidic Channels

AU - Dalby, James

AU - Majumdar, Apala

AU - Han, Yucen

AU - Mrad, Lidia

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

M3 - Article

SN - 0036-1399

VL - 83

SP - 2284

EP - 2309

JO - SIAM JOURNAL ON APPLIED MATHEMATICS

JF - SIAM JOURNAL ON APPLIED MATHEMATICS

IS - 6

ER -

A Multifaceted Study of Nematic Order Reconstruction in Microfluidic Channels

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