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The initial roll-up of a thick, two-dimensional wake behind a wing of finite span

Published online by Cambridge University Press:  04 July 2016

H. Portnoy
H. Portnoy*
Affiliation:
Department of Aeronautical Engineering, Technion-lsrael Institute of Technology, Haifa
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Extract

Many investigators have studied the rolling-up of the vortex wake behind a wing of finite span. The earliest step in this study was the work of Kaden who found an analytical solution for the rolling-up with time of a semi-infinite, straight, two-dimensional vortex sheet. This solution must represent the situation very close to the edges of a finite-span vortex sheet of zero thickness, in two or three dimensions, during the initial stage of the rolling-up process. An important result following from Kaden’s work is that, from the very onset of rolling-up, due to the infinite velocity at the sheet edge, a spiral of near-axi-symmetric form, with an infinite number of turns, is established at the edge. This is a consequence of the assumption of zero thickness for the sheet.

Type
Technical note
Information
The Aeronautical Journal , Volume 80 , Issue 790 , October 1976 , pp. 442 - 447
Copyright
Copyright © Royal Aeronautical Society 1976 

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