Hydromechanics of low-Reynolds-number flow. Part 6. Rotation of oblate bodies
Hydromechanics of low-Reynolds-number flow. Part 6. Rotation of oblate bodies
复制标题
低雷诺数流动的流体力学。
DOI：
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发表时间：
1986
期刊：
影响因子：
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通讯作者：
A. Chwang
中科院分区：
文献类型：
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作者：
L. H. Huang;A. Chwang
本文应用Stokes流、Stokeslets流和Rotlets流的基本奇点的均匀环形分布，得到了无界粘性流体中旋转扁球体的精确解。在本调查中使用的技术是反问题的方法。代替确定对于给定的身体几何形状的奇异性的类型和它们的空间分布，身体形状被确定用于给定的奇异性分布。物体的旋转轴垂直于包含圆环的平面，并通过圆环的中心。转子波的方向平行于旋转轴，而斯托克斯波与环相切并位于其平面内。通过改变环的半径和/或改变Stokeslets和rotlets的强度，我们得到了一族旋转扁球体，包括单连通和双连通体。文中还讨论了微变形球和旋转细长环面的两种特殊情况。
SummaryUniform ring distributions of fundamental singularities for Stokes flows, Stokeslets and rotlets, are applied to obtain exact solutions for rotating oblate bodies in an unbounded viscous fluid. The technique used in the present investigation is the inverse-problem approach. Instead of determining the types of singularities and their spatial distributions for a given body geometry, the body shape is determined for a given distribution of singularities. The rotating axis of a body is perpendicular to the plane containing the ring and it passes through the center of the circular ring. The direction of rotlets is parallel to the rotating axis, while the Stokeslets are tangent to the ring and lie in its plane. By changing the radius of the ring and/or changing the strengths of Stokeslets and rotlets, we obtain a family of rotating oblate bodies including simply-connected and doubly-connected bodies. Two special cases involving a slightly deformed sphere and a spinning slender torus are also discussed.