Journal article

On the starting vortex generated by a translating and rotating flat plate

DI Pullin, John E Sader

JOURNAL OF FLUID MECHANICS | CAMBRIDGE UNIV PRESS | Published : 2021

Abstract

We consider the trailing-edge vortex produced in an inviscid fluid by the start-up motion of a two-dimensional flat plate. A general starting motion is studied that includes the initial angle-of-attack of the plate (which may be zero), individual time power laws for plate translational and rotational speeds and the pivot position for plate rotation. A vortex-sheet representation for a start-up separated flow at the trailing edge is developed whose time-wise evolution is described by a Birkhoff-Rott equation coupled to an appropriate Kutta condition. This description includes convection by the outer flow, rotation and vortex-image self-induction. It admits a power-law similarity solution for ..

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University of Melbourne Researchers

Grants

Awarded by Australian Research Council Centre of Excellence in Exciton Science


Funding Acknowledgements

The authors thank T. Colonius and T. Leonard for stimulating discussion. J.E.S. acknowledges support from the Australian Research Council Centre of Excellence in Exciton Science (CE170100026) and the Australian Research Council grants scheme.