Alignment of a flexible platelike particle in shear flow: Effect of surface slip and edges

Catherine Kamal, Simon Gravelle, and Lorenzo Botto
Phys. Rev. Fluids 6, 084102 – Published 18 August 2021

Abstract

Rigid platelike particles displaying interfacial slip can attain a constant orientation in a shear flow when the slip length is sufficiently large. But actual thin particles such as single-layer graphene are flexible and prone to bending deformations when exposed to shear stress. To study the effect of bending deformation on the dynamics of flexible platelike particles with large interfacial slip in a shear flow, we develop a two-dimensional (2D) fluid-structure interaction model. Our model is based on coupling the Euler-Bernoulli beam equation with a boundary integral method to solve the hydrodynamic stress at the particle surface. Emphasis is placed on resolving accurately the stress distribution at the edges of the particle. We find that (i) a stable alignment occurs even for relatively flexible particles and that (ii) edges effects on the shape of the plate are important for values of the length-to-thickness aspect ratio as large as 100. Our results are particularly relevant in view of recent research on the hydrodynamics of suspended flexible sheets made of 2D nanomaterials.

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  • Received 24 February 2021
  • Accepted 8 July 2021

DOI:https://doi.org/10.1103/PhysRevFluids.6.084102

©2021 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Catherine Kamal1, Simon Gravelle1, and Lorenzo Botto2

  • 1School of Engineering and Material Science, Queen Mary University of London, London E1 4NS, United Kingdom
  • 2Process and Energy Department, 3ME Faculty of Mechanical, Maritime and Materials Engineering, TU Delft, 2628 CD Delft, The Netherlands

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Issue

Vol. 6, Iss. 8 — August 2021

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