Next Article in Journal
Effect of Ramie Fabric Chemical Treatments on the Physical Properties of Thermoset Polylactic Acid (PLA) Composites
Next Article in Special Issue
Natural Frequencies of Rectangular Laminated Plates—Introduction to Optimal Design in Aeroelastic Problems
Previous Article in Journal
Conceptual Advanced Transport Aircraft Design Configuration for Sustained Hypersonic Flight
Previous Article in Special Issue
Adaptive Feedforward Control for Gust-Induced Aeroelastic Vibrations
Article Menu
Issue 3 (September) cover image

Export Article

Open AccessArticle
Aerospace 2018, 5(3), 92; https://doi.org/10.3390/aerospace5030092

Unsteady Lifting Line Theory Using the Wagner Function for the Aerodynamic and Aeroelastic Modeling of 3D Wings

Aerospace and Mechanical Engineering Department, University of Liège, Quartier Polytech 1, Allée de la découverte, 9, 4000 Liège, Belgium.
*
Author to whom correspondence should be addressed.
Received: 18 July 2018 / Revised: 23 August 2018 / Accepted: 24 August 2018 / Published: 1 September 2018
(This article belongs to the Special Issue Aeroelasticity)
Full-Text   |   PDF [2133 KB, uploaded 1 September 2018]   |  

Abstract

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. View Full-Text
Keywords: unsteady aerodynamics; finite wings; Wagner theory; lifting line theory; aeroelasticity unsteady aerodynamics; finite wings; Wagner theory; lifting line theory; aeroelasticity
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Boutet, J.; Dimitriadis, G. Unsteady Lifting Line Theory Using the Wagner Function for the Aerodynamic and Aeroelastic Modeling of 3D Wings. Aerospace 2018, 5, 92.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Aerospace EISSN 2226-4310 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top