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A new theoretical model about shear stress in magnetorheological fluids with small shear deformation

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Abstract

Based on the single-chain structure model of magnetorheological fluids, a formula for the calculation of shear stresses was established. The interaction force of two magnetic particles in an infinite single-chain was deduced using a new theoretical model which is founded on Ampere’ molecular current hypothesis, dipole theory and Ampere’ law. Furthermore, the resultant force on a particle was then deduced by taking into account of the action caused by all the other particles in the single-chain. A predictive formula for shear stresses was made corresponding to the case that MR fluids were sheared by a small angle and the calculating results fit well on the order with the yield stresses of the commercial MR fluids.

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Correspondence to Zhu Changchun.

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Funded by the “863” Hi-tech Research and Development Program of China (No. 2001AA33P020)

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Changchun, Z., Pengcheng, Z., Lisheng, L. et al. A new theoretical model about shear stress in magnetorheological fluids with small shear deformation. J. Wuhan Univ. Technol.-Mat. Sci. Edit. 20, 52–56 (2005). https://doi.org/10.1007/BF02870873

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  • DOI: https://doi.org/10.1007/BF02870873

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