沉淀中的惯性筛分
Inertial Screening in Sedimentation
摘要：
我们使用粒子图像测速测量的非布朗球在雷诺数，$0.001\le Re\le 2.3$，从斯托克斯延伸到中等惯性制度的半稀悬浮液的沉降动力学。我们发现，发生的惯性修正斯托克斯沉降时，惯性屏蔽长度$l=a/Re$变得类似的斯托克斯沉降长度$ξ_0$，在$Re_c= a/ξ_0\approx 0.05$。对于$Re>Re_c$，惯性屏蔽显著降低了粒子速度波动的幅度和空间范围。改进的Hinch力平衡模型将波动幅度$σ_V/V$与相关大小$ξ$联系起来。
英文摘要：
We use particle image velocimetry to measure the sedimentation dynamics of a semi-dilute suspension of non-Brownian spheres at Reynolds numbers, $0.001\le Re\le 2.3$, extending from the Stokes to the moderately inertial regime. We find that the onset of inertial corrections to Stokes sedimentation occurs when the inertial screening length $l=a/Re$ becomes similar to the Stokes sedimentation length $ξ_0$, at $Re_c= a/ξ_0\approx 0.05$. For $Re>Re_c$, inertial screening significantly reduces both the magnitude and spatial extent of the particle velocity fluctuations. A modified Hinch force balance model connects the fluctuation magnitudes $σ_V/V$ to the correlation sizes $ξ$.
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