Unsteady Lifting Line Theory Using the Wagner Function for the Aerodynamic and Aeroelastic Modeling of 3D Wings
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 result...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-09-01
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| Series: | Aerospace |
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| Online Access: | http://www.mdpi.com/2226-4310/5/3/92 |
| _version_ | 1818970422656368640 |
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| author | Johan Boutet Grigorios Dimitriadis |
| author_facet | Johan Boutet Grigorios Dimitriadis |
| author_sort | Johan Boutet |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-20T14:36:14Z |
| format | Article |
| id | doaj.art-77d6bbd01c054d7eada0fda9cb368b01 |
| institution | Directory Open Access Journal |
| issn | 2226-4310 |
| language | English |
| last_indexed | 2024-12-20T14:36:14Z |
| publishDate | 2018-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Aerospace |
| spelling | doaj.art-77d6bbd01c054d7eada0fda9cb368b012022-12-21T19:37:26ZengMDPI AGAerospace2226-43102018-09-01539210.3390/aerospace5030092aerospace5030092Unsteady Lifting Line Theory Using the Wagner Function for the Aerodynamic and Aeroelastic Modeling of 3D WingsJohan Boutet0Grigorios Dimitriadis1Aerospace and Mechanical Engineering Department, University of Liège, Quartier Polytech 1, Allée de la découverte, 9, 4000 Liège, Belgium.Aerospace and Mechanical Engineering Department, University of Liège, Quartier Polytech 1, Allée de la découverte, 9, 4000 Liège, Belgium.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.http://www.mdpi.com/2226-4310/5/3/92unsteady aerodynamicsfinite wingsWagner theorylifting line theoryaeroelasticity |
| spellingShingle | Johan Boutet Grigorios Dimitriadis Unsteady Lifting Line Theory Using the Wagner Function for the Aerodynamic and Aeroelastic Modeling of 3D Wings Aerospace unsteady aerodynamics finite wings Wagner theory lifting line theory aeroelasticity |
| title | Unsteady Lifting Line Theory Using the Wagner Function for the Aerodynamic and Aeroelastic Modeling of 3D Wings |
| title_full | Unsteady Lifting Line Theory Using the Wagner Function for the Aerodynamic and Aeroelastic Modeling of 3D Wings |
| title_fullStr | Unsteady Lifting Line Theory Using the Wagner Function for the Aerodynamic and Aeroelastic Modeling of 3D Wings |
| title_full_unstemmed | Unsteady Lifting Line Theory Using the Wagner Function for the Aerodynamic and Aeroelastic Modeling of 3D Wings |
| title_short | Unsteady Lifting Line Theory Using the Wagner Function for the Aerodynamic and Aeroelastic Modeling of 3D Wings |
| title_sort | unsteady lifting line theory using the wagner function for the aerodynamic and aeroelastic modeling of 3d wings |
| topic | unsteady aerodynamics finite wings Wagner theory lifting line theory aeroelasticity |
| url | http://www.mdpi.com/2226-4310/5/3/92 |
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