ANALYSIS OF PARTICLE-PARTICLE FORCES IN ELECTRORHEOLOGICAL FLUIDS |
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| Authors: | Zhao He-ping Liu Zheng-you and Liu You-yan |
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| Affiliation: | Department of Physics, Jishou University, Jishou 416000, China; Department of Physics, South China University of Technology, Guangzhou 510641, China; International Center for Materials Physics, Chinese Academy of Sciences, Shenyang 110015, China |
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| 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. |
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| Keywords: | electrorheological fluids permittivity conductivity shear stress |
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