Multiply-interacting Vortex Streets
Babak G. Oskouei, Eva Kanso, Paul K. Newton

TL;DR
This paper models the interaction of multiple vortex streets to understand fluid transport in large fish schools, revealing how street proximity affects flow patterns and potential biological implications.
Contribution
It introduces a model of infinite interacting vortex streets, analyzes their equilibrium configurations, and links street spacing to fluid transport dynamics and streamline topology.
Findings
Infinite vortex street arrays can be in relative equilibrium.
Closer streets increase the number of streets involved in fluid transport.
Streamline topology patterns in infinite arrays inform finite array behavior.
Abstract
We investigate the behavior of an infinite array of (reverse) von K'arm'an streets. Our primary motivation is to model the wake dynamics in large fish schools. We ignore the fish and focus on the dynamic interaction of multiple wakes where each wake is modeled as a reverse von K'arm'an street. There exist configurations where the infinite array of vortex streets is in relative equilibrium, that is, the streets move together with the same translational velocity. We examine the topology of the streamline patterns in a frame moving with the same translational velocity as the streets which lends insight into fluid transport through the mid-wake region. Fluid is advected along different paths depending on the distance separating two adjacent streets. Generally, when the distance between the streets is large enough, each street behaves as a single von K'arm'an street and fluid moves globally…
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Taxonomy
TopicsFluid Dynamics and Vibration Analysis · Fluid Dynamics and Turbulent Flows · Biomimetic flight and propulsion mechanisms
