Three-Dimensional Lattice Boltzmann Simulation of Two-Phase Flow Containing a Deformable Body with a Viscoelastic Membrane
Three-Dimensional Lattice Boltzmann Simulation of Two-Phase Flow Containing a Deformable Body with a Viscoelastic Membrane
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DOI：
10.4208/cicp.111109.241210s
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发表时间：
2011-03
影响因子：
3.7
通讯作者：
Toshiro Murayama;M. Yoshino;T. Hirata
中科院分区：
文献类型：
--
作者：
Toshiro Murayama;M. Yoshino;T. Hirata
采用弹性模型的格子Boltzmann方法（LBM）模拟了带有粘弹性薄膜的变形体两相流。数值方法是基于不可压缩的两相流体具有相同的密度流动的LBM。该主体具有由有限厚度的粘弹性膜覆盖的内部流体。一个弹性模型被引入到LBM，以确定作用在身体的粘弹性膜上的弹性力。在本方法中，我们考虑了膜的表面积和身体的总体积的变化以及膜的剪切变形。利用该方法计算了两个问题：初始球形物体在剪切流下的行为和初始球形或双凹盘状物体在方管流中的运动。计算的变形的身体（泰勒形状参数）的各种剪切速率是在良好的协议与其他数值结果。此外，本文还模拟了剪切流中粘弹性体的一种特征运动--坦克踩踏运动。
The lattice Boltzmann method (LBM) with an elastic model is applied to the simulation of two-phase flows containing a deformable body with a viscoelastic membrane. The numerical method is based on the LBM for incompressible two-phase fluid flows with the same density. The body has an internal fluid covered by a viscoelastic membrane of a finite thickness. An elastic model is introduced to the LBM in order to determine the elastic forces acting on the viscoelastic membrane of the body. In the present method, we take account of changes in surface area of the membrane and in total volume of the body as well as shear deformation of the membrane. By using this method, we calculate two problems, the behavior of an initially spherical body under shear flow and the motion of a body with initially spherical or biconcave discoidal shape in square pipe flow. Calculated deformations of the body (the Taylor shape parameter) for various shear rates are in good agreement with other numerical results. Moreover, tank-treading motion, which is a characteristic motion of viscoelastic bodies in shear flows, is simulated by the present method.