中国物理B ›› 2001, Vol. 10 ›› Issue (1): 35-39.doi: 10.1088/1009-1963/10/1/308

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ANALYSIS OF PARTICLE-PARTICLE FORCES IN ELECTRORHEOLOGICAL FLUIDS

赵鹤平1, 刘正猷2, 刘有延3   

  1. (1)Department of Physics, Jishou University, Jishou 416000, China; (2)Department of Physics, South China University of Technology, Guangzhou 510641, China; (3)Department of Physics, South China University of Technology, Guangzhou 510641, China; International Center for Materials Physics, Chinese Academy of Sciences, Shenyang 110015, China
  • 收稿日期:2000-04-27 出版日期:2001-01-15 发布日期:2005-07-11
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 19874021), and by the Foundation of Educational Committee of Hu'nan Province, China (Grant No.98B087).

ANALYSIS OF PARTICLE-PARTICLE FORCES IN ELECTRORHEOLOGICAL FLUIDS

Zhao He-ping (赵鹤平)a, Liu Zheng-you (刘正猷)b, Liu You-yan (刘有延)bc   

  1. a Department of Physics, Jishou University, Jishou 416000, China; b Department of Physics, South China University of Technology, Guangzhou 510641, China; c International Center for Materials Physics, Chinese Academy of Sciences, Shenyang 110015, China
  • Received:2000-04-27 Online:2001-01-15 Published:2005-07-11
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 19874021), and by the Foundation of Educational Committee of Hu'nan Province, China (Grant No.98B087).

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摘要： The Rayleigh identity, based on a multipole expansion theory, is extended to analyse the forces between particles in an electrorheological system. The shear modulus for chains of particles arrayed on a square lattice is calculated. It is found that the modulus increases linearly with the ratio of dielectric constants of the dispersed particles to that of the continuous phase; as the ratio becomes larger, contrary to the expectations from a simple dipole approximation, the modulus would saturate. In the case of conducting particles, the modulus varies with the frequency of the applied field. In a limiting case of perfectly conducting particles, the conductivity is also considered. It is found that the particle-particle forces are extremely sensitive to their separations from each other.

Abstract: The Rayleigh identity, based on a multipole expansion theory, is extended to analyse the forces between particles in an electrorheological system. The shear modulus for chains of particles arrayed on a square lattice is calculated. It is found that the modulus increases linearly with the ratio of dielectric constants of the dispersed particles to that of the continuous phase; as the ratio becomes larger, contrary to the expectations from a simple dipole approximation, the modulus would saturate. In the case of conducting particles, the modulus varies with the frequency of the applied field. In a limiting case of perfectly conducting particles, the conductivity is also considered. It is found that the particle-particle forces are extremely sensitive to their separations from each other.

Key words: electrorheological fluids, permittivity, conductivity, shear stress

中图分类号:  (Electro- and magnetorheological fluids)

  • 83.80.Gv
83.60.Np (Effects of electric and magnetic fields) 83.80.Hj (Suspensions, dispersions, pastes, slurries, colloids) 83.10.-y (Fundamentals and theoretical) 77.22.Ch (Permittivity (dielectric function))