论文标题
平面通道中块状球体的惯性迁移
Inertial migration of oblate spheroids in a plane channel
论文作者
论文摘要
我们讨论了平面通道中面积的惯性迁移，其中压力梯度会产生稳定的层流。我们的晶格Boltzmann模拟显示了流动中的球体方向，因此它们的次要轴与涡度方向（一项对数滚动运动）一致。有趣的是，对于中等长宽比的球体，相对于通道壁的平衡位置仅取决于其赤道半径$ a $。通过分析惯性升力力，我们认为这种力与$ a^3b $成正比，其中$ b $是极性半径，得出结论，块状球体的无尺寸升力系数不取决于$ b $，并且等于Radius $ a $的球体。
We discuss an inertial migration of oblate spheroids in a plane channel, where steady laminar flow is generated by a pressure gradient. Our lattice Boltzmann simulations show that spheroids orient in the flow, so that their minor axis coincides with the vorticity direction (a log-rolling motion). Interestingly, for spheroids of moderate aspect ratios, the equilibrium positions relative to the channel walls depend only on their equatorial radius $a$. By analysing the inertial lift force we argue that this force is proportional to $a^3b$, where $b$ is the polar radius, and conclude that the dimensionless lift coefficient of the oblate spheroid does not depend on $b$, and is equal to that of the sphere of radius $a$.
