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
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
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.
Received: 27 April 2000
Accepted manuscript online:
Fund: 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).
Cite this article:
Zhao He-ping (赵鹤平), Liu Zheng-you (刘正猷), Liu You-yan (刘有延) ANALYSIS OF PARTICLE-PARTICLE FORCES IN ELECTRORHEOLOGICAL FLUIDS 2001 Chinese Physics 10 35
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