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Localized jammed clusters persist in shear-thickening suspension subjected to swirling excitation

Li-Xin Shi (石理新) and Song-Chuan Zhao (赵松川)*

  • State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi'an Jiaotong University, Xi'an 710049, China

  • *Contact author: songchuan.zhao@outlook.com
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Phys. Rev. Fluids 9, 083301 – Published 2 August, 2024

DOI: https://doi.org/10.1103/PhysRevFluids.9.083301

Abstract

We investigate the dynamic evolution of heterogeneity in shear-thickening suspensions subjected to swirling excitation with a free surface. The uniform state of such a system may lose its stability when the oscillation frequency is above a threshold, and density waves spontaneously form [Shi et al., J. Fluid Mech. 984, A69 (2024)]. Here, we report a state where jammed clusters emerge in high-density regions of the density waves. The jammed cluster exhibits unique motion, creating downstream high-density regions distinct from the previously reported state of density waves. Additionally, theoretical calculations show that reducing suspension thickness lowers the frequency and global concentration Φ threshold for the heterogeneity onset. Notably, the minimal Φ for instability can be lower than the onset of discontinuous shear thickening transition. We also highlight the role of the free surface in cluster growth and persistence.

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Phys. Rev. Fluids 9, 083301– Published 2 August, 2024
  • Received 29 November 2023
  • Accepted 17 July 2024
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