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タイトル: | Helicoidal particles and swimmers in a flow at low Reynolds number |
著者: | Ishimoto, Kenta |
著者名の別形: | 石本, 健太 |
キーワード: | micro-organism dynamics |
発行日: | 10-Jun-2020 |
出版者: | Cambridge University Press |
誌名: | Journal of Fluid Mechanics |
巻: | 892 |
論文番号: | A11 |
抄録: | In this paper, we consider the dynamics of a helicoidal object, which can be either a passive particle or an active swimmer, with an arbitrary shape in a linear background flow at low Reynolds number, and derive a generalized version of the Jeffery equations for the angular dynamics of the object, including a new constant from the chirality of the object as well as the Bretherton constant. The new constant appears from the inhomogeneous chirality distribution along the axis of the helicoidal symmetry, whereas the overall chirality of the object contributes to the drift velocity. Further investigations are made for an object in a simple shear flow, and it is found that the chirality effects generate non-closed trajectories of the director vector which will be stably directed parallel or anti-parallel to the background vorticity vector depending on the sign of the chirality. A bacterial swimmer is considered as an example of a helicoidal object, and we calculate the values of the constants in the generalized Jeffery equations for a typical morphology of Escherichia coli. Our results provide useful expressions for the studies of microparticles and biological fluids, and emphasize the significance of the symmetry of an object on its motion at low Reynolds number. |
著作権等: | © The Author(s), 2020 This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited. |
URI: | http://hdl.handle.net/2433/259426 |
DOI(出版社版): | 10.1017/jfm.2020.142 |
出現コレクション: | 学術雑誌掲載論文等 |
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