A Theoretical Modelling of the Chain Structure Formation in Electrorheological Fluids
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摘要: 建立了一理论模型用来解释在电场作用下电流变液中粒子集束成链的机理。通过假设在成链过程中释放的电磁能等于由于粘性流体而导致的能量耗散,建立了控制链长大的微分方程。基于这样的能量方程,可以预报成链的速度及电流变液的响应时间。该模型也预报了电场强度温度,以及诸如微粒的含量,介电常数等微结构参数对电流变液响应的影响。Abstract: A model was developed to understand the aggregation process of the particles in electrorheological(ER) fluids under the action of an applied electric field. By establishing a generalized virtual work principle based on the consideration that the released electromagnetic energy accompatlying the growth of the chain should equal to the dissipated energy related with friction resistance of the coos fluid in the chain formation, the governing differential equation of the chain growth was established.Based on this energy model,the velocity of the chain forming,and the response time of ER fluid can be predicted. The present model can also predict the effect of the temperature and some microshvctural parameters, such as the dielectric constants and concentration of the particles, etc.,on the response of an ER system.
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Key words:
- elecisortheological fluid /
- response time /
- dynamic model
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[1] Winslow W M.Induced fibration of suspensions[J].J Appl Phys,1949,20:1137. [2] Tao R,Sun J M.Three-dimensional structure of induced electrorheological solid[J].Phys Rev Lett,1991,67:398. [3] Klingenberg D J,Van Swol F,Zukoski C F.Dynamic simulation of electrorheological suspensions[J].J Chem Phys,1989,91:7888. [4] Parthasarathy M,Klingenberg D J.A microstructural investigation of the nonlinear response of electrorheological supensions[J].Rheol Acta,1995,34:417. [5] Klingenberg D J,Van Swol F,Zukoski C F.The small shear rate response of electrortheological suspensions-Ⅱ:Extension beyond the point-dipole limit[J].J Chem Phys,1991,94:6170.
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