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Axial Flow in Laminar Trailing Vortices

Moore, D. W. and Saffman, P. G. (1973) Axial Flow in Laminar Trailing Vortices. Proceedings of the Royal Society of London. Series A, Mathematical, Physical and Engineering Sciences, 333 (1595). pp. 491-508. ISSN 0962-8444. doi:10.1098/rspa.1973.0075.

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The structure of laminar trailing vortices behind a lifting wing is considered. The inviscid roll up of the trailing vortex sheet is examined, and the nature of the singularity at the centre of the spiral is determined. It is shown that viscosity removes the singularity and the structure of the viscous core is obtained. The pressure in the viscous core is found and used to calculate the axial velocities produced by streamwise pressure gradients. It is found that the perturbation of axial velocity can be either away from the wing or towards the wing depending on the distribution of tip loading on the wing. For elliptic loading, the perturbation is towards the wing. The axial flow deficit in the core due to the boundary layers on the wing is also estimated. A comparison with experiment is made and reasonable agreement is found.

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Additional Information:© 1973 The Royal Society. Published 26 June 1973. This work was partially supported by the Air Force Office of Scientific Research (AFOSR-71-2092A).
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)71-2092A
Issue or Number:1595
Record Number:CaltechAUTHORS:20150211-144355515
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Official Citation:Axial Flow in Laminar Trailing Vortices D. W. Moore, P. G. Saffman Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 1973 333 491-508; DOI: 10.1098/rspa.1973.0075. Published 26 June 1973
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54742
Deposited By: Ruth Sustaita
Deposited On:11 Feb 2015 22:55
Last Modified:10 Nov 2021 20:37

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