Rotational motion of a thin axisymmetric disk in a low Reynolds number linear flow
Rotational motion of a thin axisymmetric disk in a low Reynolds number linear flow
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低雷诺数线性流中薄轴对称圆盘的旋转运动
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
A. Stroock
中科院分区：
文献类型：
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作者：
Vikram Singh;D. Koch;G. Subramanian;A. Stroock
本文研究了轴对称刚性细颗粒在低雷诺数线性流中的运动。这种粒子的旋转运动完全由有效纵横比（κe）决定，定义为与粒子具有相同旋转周期的球体的纵横比。我们确定一系列形状的有效纵横比，y（ρ）= κ（1 − ρ2）α其中α是正参数，ρ是极坐标中距粒子中心的径向距离，y是粒子厚度的一半，κ是颗粒的纵横比，定义为平行于对称轴线的颗粒厚度（L）与其直径（d）的比率垂直于对称轴。该族包括扁球体（α=12），并且当α → 0时形状接近钝圆柱形状。对于薄颗粒，有效纵横比的尺度类似于GA 12，其中GA是作用于保持在…
The motion of thin, torque-free axisymmetric rigid particles with fore-aft symmetry in low Reynolds number linear flows is investigated. The rotational motion of such a particle is fully determined by the effective aspect ratio (κe), defined as the aspect ratio of a spheroid having the same period of rotation as that of the particle. We determine the effective aspect ratio for a family of shapes given by, y(ρ) = κ(1 − ρ2)α where α is a positive parameter, ρ is the radial distance from the particle center in polar coordinates, y is half the thickness of the particle, κ is the aspect ratio of the particle defined as the ratio of the thickness (L) of the particle parallel to the axis of symmetry to its diameter (d) perpendicular to the axis of symmetry. This family includes an oblate spheroid (α=12) and the shape approaches a blunt circular cylinder shape as α → 0. For a thin particle, the effective aspect ratio scales like GA12, where GA is the torque non-dimensionalized by μγd3 acting on a particle held in...