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arXiv 2007.06228physics.flu-dyn
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高Reynolds numbers自由上升球体的运动学和动力学

Kinematics and dynamics of freely rising spheroids at high Reynolds numbers

J. B. Will, V. Mathai, S. G. Huisman, D. Lohse, C. Sun, D. Krug

摘要:

我们实验研究了几何各向异性对悬浮椭球粒子在静止流体中上升的影响。所有其它参数,例如伽利略数$Ga \approx 6000$和颗粒密度比$Γ\approx 0.53$保持恒定。颗粒的几何纵横比$χ$从$χ$ = 0.2(扁)到5(长)系统地变化。基于跟踪所有程度的粒子运动,我们确定了六个制度,其特征在于不同的上升动态。首先,对于$0.83 \le χ\le 1.20$,观察到增加的旋转动力学,并且颗粒以“翻滚”状运动半规则地翻转。其次,对于具有$0.29 \le χ\le 0.75$的扁颗粒,观察到平面规则的“之字形”运动,其中阻力系数与$χ$无关。第三,对于最极端的扁形几何形状($χ\le 0.25$)的“颤振”样的行为被发现,其特征在于进动的振荡平面和阻力系数的增加。对于扁长的几何形状,我们观察到两个共存的振荡模式,有助于复杂的轨迹:第一个是相关的指向矢量的振荡,第二个对应于垂直于粒子的对称轴的运动。我们确定了一个“纵向”制度($1.33 \le χ\le 2.5$),其中两种模式都是活跃的和一个不同的,“宽边”制度($3 \le χ\le 4$),其中只有第二种模式存在。值得注意的是,对于最长的粒子($χ= 5$),我们观察到一个完全不同的“螺旋”上升与完全独特的功能。

英文摘要:

We experimentally investigate the effect of geometrical anisotropy for buoyant ellipsoidal particles rising in a still fluid. All other parameters, such as the Galileo number $Ga \approx 6000$ and the particle density ratio $Γ\approx 0.53$ are kept constant. The geometrical aspect ratio, $χ$, of the particle is varied systematically from $χ$ = 0.2 (oblate) to 5 (prolate). Based on tracking all degrees of particle motion, we identify six regimes characterised by distinct rise dynamics. Firstly, for $0.83 \le χ\le 1.20$, increased rotational dynamics are observed and the particle flips over semi-regularly in a "tumbling"-like motion. Secondly, for oblate particles with $0.29 \le χ\le 0.75$, planar regular "zig-zag" motion is observed, where the drag coefficient is independent of $χ$. Thirdly, for the most extreme oblate geometries ($χ\le 0.25$) a "flutter"-like behaviour is found, characterised by precession of the oscillation plane and an increase in the drag coefficient. For prolate geometries, we observed two coexisting oscillation modes that contribute to complex trajectories: the first is related to oscillations of the pointing vector and the second corresponds to a motion perpendicular to the particle's symmetry axis. We identify a "longitudinal" regime ($1.33 \le χ\le 2.5$), where both modes are active and a different one, the "broadside"-regime ($3 \le χ\le 4$), where only the second mode is present. Remarkably, for the most prolate particles ($χ= 5$), we observe an entirely different "helical" rise with completely unique features.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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