Yamamoto Yasufumi, Yamada Koki, Tanaka Yohsuke, Harada Shusaku
Department of Mechanical Engineering, Kansai University, 3-35 Yamate-cho 3-chome, Suita, Osaka 564-8680, Japan.
Faculty of Mechanical Engineering, Kyoto Institute of Technology, Matsugasaki, Sakyo-ku, Kyoto 606-8585, Japan.
Phys Rev E. 2021 Aug;104(2-2):025111. doi: 10.1103/PhysRevE.104.025111.
We conducted numerical experiments to investigate the mixing of stratified suspensions containing different types of particles. We used a point-force two-way coupling method. We studied the mixing behavior of stratified suspensions and we discovered two types of mixing: microscopic (individual-particle-level) and macroscopic (vessel-scale) collective mixing. In addition, we examined the vertical mixing speed of the stratified suspension. We used a simple theoretical model to analyze the fingering settling velocity. Then we introduced a nondimensional number representing the difference in collectivities of the upper and lower suspensions while accounting for particle terminal velocities. We discovered that the proposed nondimensional parameter has a negative sign that distinguishes the mixing form of only microscopic individual-particle-level mixing and a positive value that predicts the speed of macroscopic collective mixing of stratified suspensions.
我们进行了数值实验,以研究含有不同类型颗粒的分层悬浮液的混合情况。我们采用了点力双向耦合方法。我们研究了分层悬浮液的混合行为,并发现了两种混合类型:微观(单个颗粒层面)和宏观(容器尺度)集体混合。此外,我们还研究了分层悬浮液的垂直混合速度。我们使用一个简单的理论模型来分析指进沉降速度。然后,我们引入了一个无量纲数,该数在考虑颗粒终端速度的同时,代表了上下悬浮液集体性的差异。我们发现,所提出的无量纲参数具有负号时,表示仅微观单个颗粒层面的混合形式,而具有正值时,则预测分层悬浮液宏观集体混合的速度。