幂律流体顶盖驱动流中的颗粒运动  

Motion of a circular particle in the power-law lid-driven cavity flow

作　　者：杨晓峰 刘姣[4] 单方 柴振华 施保昌[1,2,3] Yang Xiao-Feng;Liu Jiao;Shan Fang;Chai Zhen-Hua;Shi Bao-Chang(School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China;Hubei Key Laboratory of Engineering Modeling and Scientific Computing,Huazhong University of Science and Technology,Wuhan 430074,China;Institute of Interdisciplinary Research for Mathematics and Applied Science,Huazhong University of Science and Technology,Wuhan 430074,China;School of Mathematics and Computer Sciences,Nanchang University,Nanchang 330031,China)

机构地区：[1]华中科技大学数学与统计学院,武汉430074 [2]华中科技大学,工程建模与科学计算湖北重点实验室,武汉430074 [3]华中科技大学数学与应用学科交叉创新研究院,武汉430074 [4]南昌大学数学与计算机学院,南昌330031

出　　处：《物理学报》2024年第14期145-154,共10页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:12072127,123B2018);华中科技大学交叉研究支持计划(批准号:2023JCJY002,2024JCYJ001);中央高校基本科研业务费(批准号:YCJJ20241101,2023JY-CXJJ046)资助的课题.

摘　　要：采用扩散界面格子Boltzmann模型研究了圆形颗粒在幂律流体方腔流中的运动,重点分析了初始位置、幂律指数、颗粒大小对圆形颗粒在幂律流体顶盖驱动流中的运动的影响.数值结果表明不同初始位置的圆形颗粒最终均能稳定在极限环上运动.不同幂律指数的幂律流体对圆形颗粒运动的极限环有明显影响,对于剪切增稠流体,颗粒的运动速度明显增大,极限环半径明显缩小;对于剪切稀化流体,左下角和右下角的次级涡收缩,极限环向方腔的右下角移动.圆形颗粒较小时,颗粒的运动速度较快,运动半径较大,运动轨迹更接近流体的流线;圆形颗粒较大时,受到边界的限制,极限环半径较小,运动速度较慢.此外,还讨论了颗粒对顶盖驱动流主涡涡心位置的影响,颗粒会将主涡涡心推向远离颗粒的方向.In this paper,the motion of a circular particle in a lid-driven square cavity with the power-law fluid is studied by using the diffuse interface lattice Boltzmann method,and the study mainly considers the effects of the particle's initial position,the power-law index,the Reynolds number,and the particle size.The numerical results show that the circular particle is first in a centrifugal motion under the effect of inertia,and it finally moves steadily on the limit cycle.Furthermore,it is also found that the initial position of the particle has no influence on the limit cycle.For a shear-thinning fluid flow,the limit cycle moves towards the bottom right corner of the square cavity.Moreover,the particle velocity is small,and the period of the particle motion is long.On the other hand,in the case of shear-thickening fluid flow,the limit cycle moves towards the top left corner of the cavity.In addition,the particle velocity is large,and the period of the particle motion is short.With the increase of Reynolds number,the limit cycle moves towards the bottom right corner of the square cavity,which is caused by a strong fluid flow field.Meanwhile,the particle velocity becomes larger,and the period of the particle motion is shorter.With the increase of particle size,the effect of confinement of the cavity boundary becomes significant,and the circular particle is pushed towards the center of the cavity.In this case,the limit cycle shrinks towards the center of the cavity.The circular particle squeezes the secondary vortices,especially when the circular particle is located in the bottom left,bottom right and top left corners.Additionally,the appearance of the circular particle has a significant influence on the position of the primary vortex,which changes periodically near the position of the primary vortex without the particle.It is also observed that the influence of the circular particle becomes more significant as its size increases and the powerlaw index decreases.

关 键 词：格子BOLTZMANN 方法 圆形颗粒 幂律流体 顶盖驱动流 

分 类 号：O35[理学—流体力学]