On the advection of spherical and non-spherical particles in a non-uniform flow
On the advection of spherical and non-spherical particles in a non-uniform flow
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非均匀流中球形和非球形颗粒的平流运动
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发表时间：
1990
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通讯作者：
M. Maxey
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作者：
M. Maxey
当引入不均匀或不稳定流中时，小球形颗粒通常会受到颗粒质量或流体附加质量的惯性效应以及重力沉降的影响。即使惯性效应可以忽略不计，小的非球形颗粒也会响应局部流体速度梯度而转动，并且颗粒的沉降速度随其方向而变化。这些特征与仅随局部流体速度移动的拉格朗日元件的响应不同。在本文中，对于一些非均匀层流示例，考虑了小斯托克斯粒子的这些不同响应。值得注意的是，这个添加的特征可能导致混沌粒子运动，其中拉格朗日元素的运动是规则的，并且相反，规则运动是存在拉格朗日元素的混沌平流的情况。
Small spherical particles when introduced into a non-uniform or unsteady flow are usually subject to inertial effects, either of the particle mass or of the fluid added-mass, and the gravitational settling. Small non-spherical particles, even when inertial effects are negligible, turn in response to the local fluid velocity gradients and the settling velocity of a particle varies with its orientation. These features are distinct from the response of lagrangian elements which simply move with the local fluid velocity. In this paper these different responses for small, stokesian particles are considered for some example non-uniform laminar flows. It is noted that this added feature may lead to chaotic particle motion where the motion of lagrangian elements is regular, and conversely regular motion where there is chaotic advection of lagrangian elements.