Vortex formation and transport from a rotating plate in still fluid

Abstract eng:
We investigate, using the framework of Lagrangian Coherent Structures (LCS), the vortex pair formation in an idealized model of a fish turning manoeuvre called C-start. The two-dimensional flow, generated by a thin plate performing a large angle rotation in still fluid, comprises the formation of a starting vortex during the plate rotation and the formation of a stopping vortex after the plate stops, thus resulting in a vortex pair which travels in a direction closely aligned with the final stopping angle of the plate. LCS are shown to objectively extract the boundaries of various transport entities in the flow, thus alowing us to map the long-term fate of various regions in the fluid at the initial time. We conclude by demonstrating the correlation between the momentum associated with the material parcel that is advected away from the plate and the impulse experienced by the plate.

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