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Direct Calculation of the motion of rigid fibres in a viscous fluid

机译:直接计算粘性液中刚性纤维的运动

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Fibre-like particles into a polymer matrix enables to enhance the mechanical properties of a composite material.The degree of enhancement depends strongly on the fibre orientation which depends itself on the required flow during the forming process in moulding for instance.The numerical modelling of a fluid with fibres deals with an evolution equation involving the second orientation tensor.However,it results from homogenisation procedures from Jeffery equation for the orientation of a single particle and from Folker-Plank equation for the probability distribution of orientation.Therefore,this approach has a limited domain of validity,depending on the shape,the aspect ratio and the volume fraction of fibres.We propose here to simulate directly the motion of a dense population of fibers in a polymeric fluid,taking into account the exact particle interaction,by using a multidomain approach in a global Finite Element calculation.The first interest of this direct approach is to avoid the need of an explicit form of drag and lubrication forces acting between fibres.This presentation will focus on:o the influence of the particle shape on the motion of a single particle(Jeffery's equation works well provided that anequivalent aspect ratio is used),the fibre motion near a wall is still described if an increased effective shear rate is used,the numerical calculation with a great number of fibres and the averaging to produce macroscopic properties of fibre suspensions.
机译:纤维状颗粒进入聚合物基质,使得能够增强复合材料的机械性能。增强程度依赖于纤维取向,这取决于成型过程中的成型过程中的所需流动。a的数值模拟具有纤维的流体涉及涉及第二取向张量的进化方程。然而,它是由杰弗菲律电方程的均化程序来实现单个粒子的方向的均匀过程,以及浮雕的方程的定向概率分布。因此,这种方法有一个有限的有效领域,取决于形状,纵横比和纤维的体积分数。我们在此提出在聚合物流体中直接模拟纤维群的运动,考虑到精确的颗粒相互作用,通过使用a全球有限元计算中的多域方法。这种直接方法的首先兴趣是避免n EED的一系列拖累和伴有纤维之间的润滑力。这呈现将专注于:o颗粒形状对单个粒子的运动的影响(Jeffery的等式效果很好,所以提供了足够的纵横比),光纤如果使用增加的有效剪切速率,仍然描述墙壁附近的运动,具有大量纤维的数值计算和产生纤维悬浮液的宏观性质的平均值。

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