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Variation of focusing patterns of laterally migrating particles in a square-tube flow due to non-Newtonian elastic force

Naoto Yokoyama1, Hiroshi Yamashita2,3, Kento Higashi2, Yuta Miki2, Tomoaki Itano2, and Masako Sugihara-Seki2,3

  • 1Department of Mechanical Engineering, Tokyo Denki University, Adachi 120-8551, Japan
  • 2Department of Pure and Applied Physics, Kansai University, Suita 564-8680, Japan
  • 3Department of Mechanical Science and Bioengineering, Osaka University, Toyonaka 560-8531, Japan

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Phys. Rev. Fluids 6, L072301 – Published 12 July, 2021

DOI: https://doi.org/10.1103/PhysRevFluids.6.L072301

Abstract

The elasto-inertial effects on particle focusing in a square-tube flow were investigated experimentally and numerically. Microscale experiments using spherical particles in dilute polymer solutions demonstrated that the particles are focused on the midline and/or the diagonal in a downstream cross section, depending on the polymer concentration. Numerical computations based on the finitely extensible nonlinear elastic–Peterlin (FENE-P) model for the viscoelastic flow reproduced these focusing patterns. It was revealed that the transitions among the patterns are accounted for by the elastic forces due to the first normal stress difference and the polymer elongation, which are the essentials of the viscoelastic fluid.

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Phys. Rev. Fluids 6, L072301– Published 12 July, 2021
  • Received 12 March 2021
  • Accepted 24 June 2021
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