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arXiv 1503.08422cond-mat.softphysics.flu-dyn
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多体互等定理与游泳运动员流体动力学

The many-body reciprocal theorem and swimmer hydrodynamics

Dario Papavassiliou, Gareth P. Alexander

摘要:

我们提出了一个重新解释和扩展的互等定理的游泳者,扩展其应用程序从一个单一的游泳者在一个无界域的一般设置的运动,游泳者的相互作用和一般流体力学的结果。我们说明了一个平面附近的蠕动的方法,恢复标准的文献结果,并将其扩展到一个一般的蠕动集,在纤毛表面的存在下的运动,和整个域的流场的表达式。最后,我们提出了精确的结果,在两个维度的流体力学揭示了近场行为。

英文摘要:

We present a reinterpretation and extension of the reciprocal theorem for swimmers, extending its application from the motion of a single swimmer in an unbounded domain to the general setting, giving results for both swimmer interactions and general hydrodynamics. We illustrate the method for a squirmer near a planar surface, recovering standard literature results and extending them to a general squirming set, to motion in the presence of a ciliated surface, and expressions for the flow field throughout the domain. Finally, we present exact results for the hydrodynamics in two dimensions which shed light on the near-field behaviour.

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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