Scaling laws for the intermittent swimming performance of a flexible plate at low Reynolds number

IF 2.5 3区工程技术

Journal of Hydrodynamics Pub Date : 2023-10-20 DOI:10.1007/s42241-023-0059-2

Lin-lin Kang, Shi-xian Gong, Xi-Yun Lu, Wei-cheng Cui, Di-xia Fan

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引用次数: 0

Abstract

Many species of fish and birds travel in intermittent style, yet the combined influence of intermittency and other body kinematics on the hydrodynamics of a self-propelled swimmer is not fully understood. By formulating a reduced-order dynamical model for intermittent swimming, we uncover scaling laws that link the propulsive performance (cursing Reynolds number Re_c, thrust T̄, input power P̄ and cost of transport COT to body kinematics (duty cycle DC, flapping Reynolds number Re_f). By comparing the derived scaling laws with the data from several previous studies and our numerical simulation, we demonstrate the validity of the theory. In addition, we found that Re_c, T̄, P̄ and COT all increase with the increase of DC, Re_f. The model also reveals that the intermittent swimming may not be inherently more energy efficient than continuous swimming, depending on the ratio of drag coefficients between active bursting and coasting.

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低雷诺数下柔性板间歇游动性能的标度律

许多种类的鱼类和鸟类以间歇性的方式旅行，但间歇性和其他身体运动学对自行游泳运动员的流体动力学的综合影响尚不完全清楚。通过建立间歇游泳的降阶动力学模型，我们揭示了将推进性能（诅咒雷诺数Rec、推力T̄、输入功率P \772和运输成本COT）与身体运动学（占空比DC、扑动雷诺数Ref）联系起来的比例律。通过将导出的标度律与先前几项研究和数值模拟的数据进行比较，我们证明了该理论的有效性。此外，我们发现Rec、T̄、P \772和COT都随着DC、Ref的增加而增加。该模型还表明，间歇性游泳可能并不比连续游泳更节能，这取决于主动爆发和滑行之间的阻力系数比。

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来源期刊

Journal of Hydrodynamics MECHANICS-

自引率

12.00%

发文量

2374

审稿时长

4.6 months

期刊介绍： Journal of Hydrodynamics is devoted to the publication of original theoretical, computational and experimental contributions to the all aspects of hydrodynamics. It covers advances in the naval architecture and ocean engineering, marine and ocean engineering, environmental engineering, water conservancy and hydropower engineering, energy exploration, chemical engineering, biological and biomedical engineering etc.