一对鱼逆水游动时鱼群模式的稳定性

IF 2.8 Q2 MECHANICS
Rishita Das, Sean D. Peterson, Maurizio Porfiri
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引用次数: 0

摘要

鱼经常以结晶的群体形式游动(成群结队),并朝向流入的水流(流变性)。在这两种现象的交叉点,我们研究了通过被动水动力机制在鱼群中最简单的子系统鱼对中出现的独特鱼群模式。首先,我们建立了一个基于流体动力学的数学模型,用于描述两条鱼在无限通道中逆流游动的位置和方向,并将每条鱼的自推进运动的影响建模为点偶极子。研究得到的方程组是为了了解动力系统的性质、平衡及其稳定性。该系统有五种平衡类型,其中只有以直线和交错编队上游游动才能稳定。只有在极限情况下才观察到稳定的近壁构型。结果表明,这些平衡的稳定性取决于流动曲率和沿流的鱼间距离,低于临界值,系统可能不具有稳定的平衡。研究表明,仅仅通过被动流体动力学,在没有任何其他反馈/传感的情况下,我们就可以证明流变性以及稳定的在线和交错学校配置的存在。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Stability of schooling patterns of a fish pair swimming against a flow
Fish often swim in crystallized group formations (schooling) and orient themselves against the incoming flow (rheotaxis). At the intersection of these two phenomena, we investigate the emergence of unique schooling patterns through passive hydrodynamic mechanisms in a fish pair, the simplest subsystem of a school. First, we develop a fluid dynamics-based mathematical model for the positions and orientations of two fish swimming against a flow in an infinite channel, modelling the effect of the self-propelling motion of each fish as a point-dipole. The resulting system of equations is studied to gain an understanding of the properties of the dynamical system, its equilibria and their stability. The system is found to have five types of equilibria, out of which only upstream swimming in in-line and staggered formations can be stable. A stable near-wall configuration is observed only in limiting cases. It is shown that the stability of these equilibria depends on the flow curvature and streamwise interfish distance, below critical values of which, the system may not have a stable equilibrium. The study reveals that simply through passive fluid dynamics, in the absence of any other feedback/sensing, we can justify rheotaxis and the existence of stable in-line and staggered schooling configurations.
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CiteScore
2.40
自引率
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