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Response of a magnetic particle to rotating magnetic field in viscoelastic fluid

Han Gao1,*, Zhiyuan Zhao2,3,*, Masao Doi2,3,†, and Ye Xu1,‡

  • 1School of Mechanical Engineering and Automation, Beihang University, Beijing 100191, China
  • 2Wenzhou Institute, University of Chinese Academy of Sciences, Wenzhou, Zhejiang 325000, China
  • 3Oujiang Laboratory (Zhejiang Lab for Regenerative Medicine, Vision and Brain Health), Wenzhou, Zhejiang 325000, China

  • *These authors contributed equally to this work.
  • †Contact author: doi.masao@a.mbox.nagoya-u.ac.jp
  • ‡Contact author: ye.xu@buaa.edu.cn

Phys. Rev. E 112, 055417 – Published 17 November, 2025

DOI: https://doi.org/10.1103/19rb-g7s3

Abstract

The rotational dynamics of a freely suspended ferromagnetic particle in a viscoelastic fluid subjected to a rotating magnetic field are studied both experimentally and theoretically. Our results reveal that when the characteristic relaxation time of the fluid is much smaller than the inverse of a critical field frequency, the particle's rotational behavior resembles that in Newtonian fluids. Increasing the relaxation time enhances the time-averaged rotation frequency of the particle undergoing asynchronous rotation. Moreover, the critical frequency is shown to scale linearly with the magnetic field intensity and inversely with the fluid's zero-shear viscosity. Our work is expected to guide precise manipulation of ferromagnetic particles in biomedical systems where viscoelastic environments dominate.

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