Unsteady aerodynamics; Finite wings; Wagner theory; Lifting line theory; Aeroelasticity
Abstract :
[en] A method is presented to model the incompressible, attached, unsteady lift and pitching
moment acting on a thin three-dimensional wing in the time domain. The model is based on
the combination of Wagner theory and lifting line theory through the unsteady Kutta–Joukowski
theorem. The results are a set of closed-form linear ordinary differential equations that can be solved
analytically or using a Runge–Kutta–Fehlberg algorithm. The method is validated against numerical
predictions from an unsteady vortex lattice method for rectangular and tapered wings undergoing
step or oscillatory changes in plunge or pitch. Further validation is demonstrated on an aeroelastic
test case of a rigid rectangular finite wing with pitch and plunge degrees of freedom.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Boutet, Johan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Interactions Fluide-Structure - Aérodynamique expérimentale
Dimitriadis, Grigorios ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Interactions Fluide-Structure - Aérodynamique expérimentale
Language :
English
Title :
Unsteady Lifting Line Theory Using theWagner Function for the Aerodynamic and Aeroelastic Modeling of 3D Wings
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.
Bibliography
Theodorsen, T. General Theory of Aerodynamic Instability and the Mechanism of Flutter; Technical Report NACA TR-496; NACA:Washington, DC, USA, 1935
Jones, R.T. The Unsteady Lift of a Finite Wing; Technical Report NACA TN-682; NACA:Washington, DC, USA, 1939
Fung, Y.C. An Introduction to the Theory of Aeroelasticity; Dover Publications: Mineola, NY, USA, 1993
Peters, D.A.; Karunamurthy, S.; Cao, W.M. Finite state induced flow models; Part I: Two-dimensional thin airfoil. J. Aircr. 1995, 32, 313-322
Leishman, J.; Nguyen, K. State-space representation of unsteady airfoil behavior. AIAA J. 1990, 28, 836-844
Dowell, E.H. (Ed.) A Modern Course in Aeroelasticity, 4th ed.; Kluwer Academic Publishers: Dordrecht, The Netherlands, 2004
Albano, E.; Rodden, W.P. A Doublet-Lattice Method for Calculating Lift Distributions on Oscillating Surfaces in Subsonic Flows. AIAA J. 1969, 7, 279-285
Katz, J.; Plotkin, A. Low Speed Aerodynamics; Cambridge University Press: Cambridge, UK, 2001
Karpel, M. Design for the Active Flutter Suppression and Gust Alleviation Using State-Space Aeroelastic Modeling. J. Aircr. 1982, 19, 221-227
Dimitriadis, G. Introduction to Nonlinear Aeroelasticity; John Wiley & Sons, Inc.: Chichester, UK, 2017
Dimitriadis, G.; Giannelis, N.F.; Vio, G.A. A Modal Frequency-Domain Generalised Force Matrix for the Unsteady Vortex Lattice Method. J. Fluids Struct. 2018, 76, 216-228
Reissner, E. Boundary value problems in aerodynamics of lifting surfaces in non-uniform motion. Bull. Am. Math. Soc. 1949, 55, 825-850
Chopra, M.G. Hydromechanics of lunate-tail swimming propulsion. J. Fluid Mech. 1974, 64, 375-391
Chopra, M.G.; Kambe, T. Hydromechanics of lunate-tail swimming propulsion. Part 2. J. Fluid Mech. 1977, 79, 49-69
James, E.C. Lifting-line theory for an unsteady wing as a singular perturbation problem. J. Fluid Mech. 1975, 70, 753-771
Ahmadi, A.R.; Widnall, S.E. Unsteady lifting-line theory as a singular perturbation problem. J. Fluid Mech. 1985, 153, 59-81
Van Holten, T. Some notes on unsteady lifting line theory. J. Fluid Mech. 1976, 77, 561-579
Phlips, P.J.; East, R.A.; Pratt, N.H. An unsteady lifting line theory of flapping wings with application to the forward flight of birds. J. Fluid Mech. 1981, 112, 97-125
Dragos, L. The Theory of Oscillating ThickWings in Subsonic Flow. Lifting Line Theory. Acta Mech. 1985, 54, 221-238
Sclavounos, P.D. An unsteady lifting-line theory. J. Eng. Math. 1987, 21, 201-226
Drela, M. Integrated simulation model for preliminary aerodynamic, structural, and control-law design of aircraft. Am. Inst. Aeronaut. Astronaut. 1999
Nabawy, M.; Crowther, W.J. On the quasi-steady aerodynamics of normal hovering flight part II: Model implementation and evaluation. J. R. Soc. Interface 2014, 11, 20131197
Nabawy, M.; Crowther, W.J. A Quasi-Steady Lifting Line Theory for Insect-Like Hovering Flight. J. R. Soc. Interface 2015, 10, e0134972
Boutet, J.; Dimitriadis, G. Unsteady lifting line theory using the Wagner function. In Proceedings of the 55th AIAA Aerospace Sciences Meeting, Grapevine, TX, USA, 9-13 January 2017
Izraelevitz, J.S.; Zhu, Q.; Triantafyllou, M.S. State-Space Adaptation of Unsteady Lifting Line Theory: Twisting/FlappingWings of Finite Span. AIAA J. 2017, 55, 1279-1294
Kuethe, A.M.; Chow, C.Y. Foundations of Aerodynamics: Bases of Aerodynamic Design, 4th ed.;Wiley: New York, NY, USA, 1986
Glauert, H. The Elements of Aerofoil and Airscrew Theory, 2nd ed.; Cambridge Science Classics; Cambridge University Press: Cambridge, UK, 1983
Jones, R.T. Operational Treatment of the Nonuniform-Lift Theory in Airplane Dynamics; Technical Report NACA TN-667; NACA:Washington, DC, USA, 1938
Dimitriadis, G.; Gardiner, J.; Tickle, P.; Codd, J.; Nudds, R. Experimental and numerical study of the flight of geese. Aeronaut. J. 2015, 119, 1-30
Simpson, R.J.S.; Palacios, R. Induced-Drag Calculations in the Unsteady Vortex Lattice Method. AIAA J. 2013, 51, 1775-1779
This website uses cookies to improve user experience. Read more
Save & Close
Accept all
Decline all
Show detailsHide details
Cookie declaration
About cookies
Strictly necessary
Performance
Strictly necessary cookies allow core website functionality such as user login and account management. The website cannot be used properly without strictly necessary cookies.
This cookie is used by Cookie-Script.com service to remember visitor cookie consent preferences. It is necessary for Cookie-Script.com cookie banner to work properly.
Performance cookies are used to see how visitors use the website, eg. analytics cookies. Those cookies cannot be used to directly identify a certain visitor.
Used to store the attribution information, the referrer initially used to visit the website
Cookies are small text files that are placed on your computer by websites that you visit. Websites use cookies to help users navigate efficiently and perform certain functions. Cookies that are required for the website to operate properly are allowed to be set without your permission. All other cookies need to be approved before they can be set in the browser.
You can change your consent to cookie usage at any time on our Privacy Policy page.