Numerical simulations of lift force and drag force on a particle in cross-flow microfiltration of colloidal suspensions to understand limiting flux
Numerical simulations of lift force and drag force on a particle in cross-flow microfiltration of colloidal suspensions to understand limiting flux
复制标题
对胶体悬浮液错流微滤中颗粒的升力和曳力进行数值模拟，以了解极限通量
DOI：
10.1016/j.memsci.2020.118998
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Shin-ichi Nakao
中科院分区：
文献类型：
--
作者：
Ryo Makabe;Kazuki Akamatsu;Rei Tatsumi;Osamu Koike;Shin-ichi Nakao
本研究的目的是了解在交叉流微滤的胶体悬浮液中的流体动力学力的平衡方面的限制通量的颗粒。进行了数值模拟，以估计由横流产生的升力，由对流通量产生的阻力，和净力。假设极限通量是颗粒上净力为零时的通量，通过对模拟数据的分析，确定了两个颗粒雷诺数的相关性：由极限通量计算的Rep_ J lim i t和由横流率计算的Rep_ u δ。结果表明，当颗粒与滤饼层的无量纲距离（距离除以直径）小于6.7时，RepJlimit与Repu δ的平方成正比，尽管实验上RepJlimit与Repu δ的1.5次方成正比。相比之下，当粒子处于48-60的无量纲距离时，R ep_ J lim it与R ep_ u δ的1.5次方成比例。这意味着，在这样的位置，而不是在膜表面的颗粒的力平衡，确定在胶体悬浮液的错流微滤的限制通量。
The aim of this study was to understand the limiting flux in cross-flow microfiltration of a colloidal suspension in terms of the balance of hydrodynamic forces on a particle. Numerical simulations were carried out to estimate the lift force resulting from the cross-flow, drag force resulting from the convective flux, and net force. Assuming that the limiting flux is the flux when the net force on a particle is zero, we analyzed the simulation data to determine the correlation of two particle Reynolds numbers: R e p _ J l i m i t, calculated from the limiting flux, and R e p _ u δ, calculated from the cross-flow rate. The results indicate that R e p _ J l i m i t is proportional to the square of R e p _ u δ when a particle is at a dimensionless distance (distance divided by diameter) of less than 6.7 from the cake layer, in spite of the experimental fact that R e p _ J l i m i t is proportional to the 1.5 th power of R e p _ u δ. In contrast, R e p _ J l i m i t is proportional to the 1.5 th power of R e p _ u δ when a particle is at a dimensionless distance of 48–60. This means that the force balance of a particle at such a position, not at the membrane surface, determines the limiting flux in cross-flow microfiltration of a colloidal suspension.