Onsager Principle and Electrorheological Fluid Dynamics(Non Equilibrium Soft Matter)
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概要
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We present the formulation of a two-phase, electrical-hydrodynamic model for the description of electrorheological fluid dynamics, based on the Onsager principle of minimum energy dissipation. By considering the energetics of (induced) dipole-dipole interaction between the solid particles in terms of a field variable n(x^^→), we employ the Onsager principle to derive the relevant coupled hydrodynamic equations, together with a continuity equation for n(x^^→). Numerical solution of the relevant equations yields predictions that display very realistic behaviors as seen experimentally. In particular, we show that while the predicted results have features that resemble Bingham fluids, there can be important differences. For example, the yield stress obtained by extrapolating the shear rate to zero is 30-40% lower than that obtained from the maximum of the stress-strain relation. Moreover, for the conventional electrode configuration where the field is perpendicular to the shearing direction, there is very clear shearing-thinning effect that has been seen experimentally.
- 2008-12-05
著者
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Sheng Ping
Department Of Physics The Hong Kong University Of Science And Technology
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LIU Chun
Department of Environmental Chemistry and Engineering, Interdisciplinary Graduate School of Science
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Sheng Ping
Department Of Physics And Institute Of Nano Science And Technology Hong Kong University Of Science A
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ZHANG Jianwei
Department of Physics, The Hong Kong University of Science and Technology
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Liu Chun
Department Of Electronic Engineering Nan-jeon Institute Of Technology Yan-hsui
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Zhang Jianwei
Department Of Physics The Hong Kong University Of Science And Technology
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Liu Chun
Department Of Mathematics Pennsylvania State University State College
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