Experimental study of the hydrodynamic interaction between a fish and an actively pitching airfoil

Rishita Das, S. Peterson, M. Porfiri
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Abstract

The phenomenon of fish schooling - coordinated swimming of fish in polarized groups of specific spatial formations - is commonly observed in several species of fish. Fish schooling may even provide hydrodynamic advantages reducing the overall swimming cost of the group. To date, the role of hydrodynamics in coordinated swimming is not completely understood as it is difficult to separately study the role of hydrodynamic interaction from other forms of interaction between the fish. Here, we propose a statistical methodology based on information theoretic tools and flow velocity measurements, that can potentially tease out the hydrodynamic interaction pathways from visual and tactile ones. To avoid experimental confounds from bidirectional interactions and objectively understand cause-and-effect relationships, we design a robotic platform that mimics the behavior of two fish swimming in-line in a controlled setup inside a water channel. We examine the response of a flag to the fish-like unsteady wake generated by an actively pitching airfoil located upstream. We systematically quantify the passive hydrodynamic effect by studying the flapping motion of the flag located downstream of the airfoil in response to both periodic pitching and less predictable, random startling motion of the upstream airfoil. The study integrates experimental biomimetics with information theory to establish a deeper understanding of hydrodynamics in fish schooling.
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鱼与主动俯仰翼型水动力相互作用的实验研究
鱼群鱼群现象——鱼类在特定空间形态的极化群体中协调游动——通常在几种鱼类中观察到。鱼群聚集甚至可以提供水动力优势,降低群体的整体游泳成本。迄今为止,水动力在协调游泳中的作用尚未完全理解,因为很难将水动力相互作用与鱼之间其他形式的相互作用分开研究。在此,我们提出了一种基于信息论工具和流速测量的统计方法,可以从视觉和触觉中梳理出水动力相互作用途径。为了避免双向相互作用造成的实验混乱,并客观地理解因果关系,我们设计了一个机器人平台,模仿两条鱼在水道内的受控设置中直线游动的行为。我们研究了旗子对位于上游的主动俯俯角翼型产生的鱼状非定常尾迹的响应。我们系统地量化被动水动力效应,通过研究位于翼型下游的旗帜的扑动运动,以响应周期性俯仰和不可预测的,随机的上游翼型的惊人运动。该研究将实验仿生学与信息论相结合,以建立对鱼类鱼群水动力学的更深入理解。
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