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Dynamics of particle lane formation in confined viscoelastic fluids under shear

Hiroto Yokoyama1, Masanori Honda2, Rinya Miyakawa2, Yuki Shinohara2, Kota Nakamura2, Kojiro Otoguro3, Kiwamu Yoshii2, and Yutaka Sumino2,4,5,*

  • 1JGC Corporation, Process Technology Division, EN Technology Center, 2-3-1 Minatomirai, Nishi-ku, Yokohama-shi, Kanagawa 220-6001, Japan
  • 2Department of Applied Physics, Tokyo University of Science, 6-3-1 Nijuku, Katsushika-ku, Tokyo 125-8585, Japan
  • 3Meiji Institute for Advanced Study of Mathematical Science (MIMS), Meiji University, 4-21-1, Nakano, Nakano-ku, Tokyo 164-8525, Japan
  • 4Water Frontier Science & Technology Research Center and Division of Colloid Interface, Research Institute for Science and Technology, Tokyo University of Science, 6-3-1 Nijuku, Katsushika-ku, Tokyo 125-8585, Japan
  • 5Faculty of Engineering and Physical Sciences, University of Surrey, Guildford, Surrey GU2 7XH, United Kingdom

  • *Contact author: ysumino@rs.tus.ac.jp

Phys. Rev. E 114, 015422 – Published 27 July, 2026

DOI: https://doi.org/10.1103/cm4c-m7lw

Abstract

Simple shear flow can induce flow-aligned chain formation of particles suspended in viscoelastic fluids. Although this phenomenon has been reported for decades, direct in situ measurements of the alignment dynamics and particle trajectories during chain formation remain limited. Here, we develop an in situ observation platform based on a parallel-plate geometry with a fixed top plate and a rotating bottom plate, separated by a gap comparable to the particle diameter, enabling simultaneous observation of particle alignment under radially varying shear rates. The narrow gap strongly confines particle motion, thereby enhancing hydrodynamic interactions and collision events between particles. Using a viscoelastic fluid embedding zircon particles as the sample, we find that alignment occurs once the local particle Weissenberg number exceeds unity (Wip1), defined using an effective shear rate based on the wall velocity and the available gap width. Particle tracking further reveals an intermittent back-and-forth motion along the flow direction, observed in a reference frame corotating at half the angular velocity of the bottom plate, where the fluid velocity vanishes at the channel midplane. This motion arises from switching between two stable particle heights and is hereafter referred to as “shuttling,” which we define explicitly to avoid ambiguity. Using the image brightness in a dyed fluid as a proxy for out-of-plane position, we demonstrate that this shuttling motion originates from vertical displacement of the particles. We further construct a minimal agent-based model in which the particle height follows a Ginzburg-Landau-type double-well potential, and show that collision-driven accumulation emerges in simulations. In the strongly confined geometry, alignment occurs via an effective attraction induced by collisions, which is qualitatively reminiscent of clustering phenomena in active matter.

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