Particle trajectories around a running cylinder or a sphere
Particle trajectories around a running cylinder or a sphere
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DOI：
10.1088/0169-5983/42/2/025506
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发表时间：
2010-04
影响因子：
1.5
通讯作者：
M. Shōji;H. Okamoto;T. Ooura
中科院分区：
文献类型：
--
作者：
M. Shōji;H. Okamoto;T. Ooura
考虑流体粒子围绕运行的圆柱体或球体的运动。从固定物体观察到的粒子轨迹是流函数的轮廓，并且在许多情况下是众所周知的。在这里，我们关注的是从物体移动的绝对坐标来看的轨迹。 1870年，麦克斯韦考虑了无粘流体的无旋流动问题，发现质点的运动轨迹是一条有自交点的弹性曲线。我们在这里考虑三维 (3D) 无旋流、球体周围的 3D 斯托克斯流和布林克曼多孔介质流中的类似问题。在 3D Stokes 案例中，我们发现轨迹是无界的并且没有自交。在布林克曼案例中，我们处理了绕圆柱体的流动和绕球体的流动：我们的数值检查揭示了自相交和非自相交轨迹。
The movement of fluid particles around a running cylinder or a sphere is considered. Particle trajectories viewed from a fixed object are contours of the stream function and well known in many cases. Here, we are concerned with trajectories viewed from the absolute coordinates where the object is moving. In 1870, Maxwell considered the problem in irrotational flow of inviscid fluid, and found that the trajectory of a particle is a curve of elastica having a self-intersection point. We consider here a similar problem in three-dimensional (3D) irrotational flow, 3D Stokes flow around a sphere and Brinkman's porous-media flow. In the 3D Stokes case, we found that the trajectories are unbounded and have no self-intersection. In the Brinkman case, we treated both flow around a cylinder and flow around a sphere: our numerical examinations revealed both self-intersecting and non-self-intersecting trajectories.