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
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 ..View full abstract
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Awarded by Australian Research Council Centre of Excellence in Exciton Science
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.