Hostname: page-component-77c89778f8-vpsfw Total loading time: 0 Render date: 2024-07-17T16:09:16.543Z Has data issue: false hasContentIssue false

Some notes on unsteady lifting-line theory

Published online by Cambridge University Press:  11 April 2006

Th. Van Holten
Affiliation:
Delft University of Technology, Department of Aerospace Engineering, Delft, Netherlands

Abstract

A higher-order lifting-line theory for a wing in unsteady motion is discussed. Apart from the addition of higher-order terms, it also differs from the theory derived by James (1975) in its emphasis on ‘physical’ interpretations. This emphasis has made it possible to shed some new light on Prandtl's classical lifting-line theory, as well as on Weissinger's 3/4-chord theory.

Type
Research Article
Copyright
© 1976 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Fung, Y. C. 1968 An Introduction to the Theory of Aeroelasticity. Dover.
James, E. C. 1975 Lifting-line theory for an unsteady wing as a singular perturbation problem. J. Fluid Mech. 70, 753771.Google Scholar
Lagerstrom, P. A. (ed.) 1967 Fluid Mechanics and Singular Perturbations, A Collection of Papers by Saul Kaplun. Academic.
Moon, P. & Spencer, D. E. 1961 Field Theory for Engineers. Van Nostrand.
Schlichting, H. & Truckenbrodt, E., 1967 Aerodymmik des Flugzeuges. Springer.
Van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics. Academic.
Van Holten, Th. 1974 Computation of aerodynamic loads on helicopter rotorblades in forward flight, using the method of the acceleration potential. Proc. 9th Congr. Int. Counc. Aero. Sci., Icas, Haifa, Israel (ed. Robert R. Dexter & J. Singer), paper 74-54. Jerusalem: Weizmann Science Press of Israel.
Van Holten, Th. 1975a The computation of aerodynamic loads on helicopter blades in forward flight, using the method of the acceleration potential. Delft Univ. Tech., Dept. Aerospace Engng, Rep. no. VTH-189.Google Scholar
Van Holten, Th. 1976b On the validity of lifting line concepts in rotor analysis. 1st European Rotorcraft Powered Lift Aircraft Forum, Southampton, preprint 20. (To be published in Vertica, Int. J. Rotorcraft Powered Lift Aircraft, vol. 1, (1976) no. 3.)Google Scholar