Nonlinear Lifting-Line Model using a Vector Formulation of the Unsteady Kutta-Joukowski Theorem
In this paper, a vector form of the unsteady Kutta-Joukowski theorem is derived and then used in the formulation of a general Lifting-Line Model capable of analysing a wide range of engineering problems of interest. The model is applicable to investigating lifting surfaces having low to moderate swe...
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Format: | Article |
Language: | English |
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National Institute for Aerospace Research “Elie Carafoli” - INCAS
2019-03-01
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Series: | INCAS Bulletin |
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Online Access: | http://bulletin.incas.ro/files/sugar-gabor__vol_11_iss_1.pdf |
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author | Oliviu SUGAR GABOR |
author_facet | Oliviu SUGAR GABOR |
author_sort | Oliviu SUGAR GABOR |
collection | DOAJ |
description | In this paper, a vector form of the unsteady Kutta-Joukowski theorem is derived and then used in the formulation of a general Lifting-Line Model capable of analysing a wide range of engineering problems of interest. The model is applicable to investigating lifting surfaces having low to moderate sweep, dihedral, out-of-plane features such as winglets, in both steady-state and unsteady cases. It features corrections of the span-wise circulation distribution based on available two-dimensional aerofoil experimental data, and stable wake relaxation through fictitious time marching. Potential applications include the conceptual and initial design of low-speed Unmanned Aerial Vehicles, the study of flapping flight or Wind Turbine blade design and analysis. Several verification and validation cases are presented, showing good agreement with experimental data and widely-used computational methods. |
first_indexed | 2024-12-21T15:54:50Z |
format | Article |
id | doaj.art-4858280903854100a6af8d1185a71f7f |
institution | Directory Open Access Journal |
issn | 2066-8201 2247-4528 |
language | English |
last_indexed | 2024-12-21T15:54:50Z |
publishDate | 2019-03-01 |
publisher | National Institute for Aerospace Research “Elie Carafoli” - INCAS |
record_format | Article |
series | INCAS Bulletin |
spelling | doaj.art-4858280903854100a6af8d1185a71f7f2022-12-21T18:58:08ZengNational Institute for Aerospace Research “Elie Carafoli” - INCASINCAS Bulletin2066-82012247-45282019-03-0111118920310.13111/2066-8201.2019.11.1.15Nonlinear Lifting-Line Model using a Vector Formulation of the Unsteady Kutta-Joukowski TheoremOliviu SUGAR GABOR0Aeronautical and Mechanical Engineering, School of Computing, Science and Engineering, University of Salford, The Crescent, M5 4WT, Salford, UK, O.Sugar-Gabor@salford.ac.ukIn this paper, a vector form of the unsteady Kutta-Joukowski theorem is derived and then used in the formulation of a general Lifting-Line Model capable of analysing a wide range of engineering problems of interest. The model is applicable to investigating lifting surfaces having low to moderate sweep, dihedral, out-of-plane features such as winglets, in both steady-state and unsteady cases. It features corrections of the span-wise circulation distribution based on available two-dimensional aerofoil experimental data, and stable wake relaxation through fictitious time marching. Potential applications include the conceptual and initial design of low-speed Unmanned Aerial Vehicles, the study of flapping flight or Wind Turbine blade design and analysis. Several verification and validation cases are presented, showing good agreement with experimental data and widely-used computational methods.http://bulletin.incas.ro/files/sugar-gabor__vol_11_iss_1.pdfLifting-Line Modelunsteady aerodynamicsflapping wingsunsteady wake modelling |
spellingShingle | Oliviu SUGAR GABOR Nonlinear Lifting-Line Model using a Vector Formulation of the Unsteady Kutta-Joukowski Theorem INCAS Bulletin Lifting-Line Model unsteady aerodynamics flapping wings unsteady wake modelling |
title | Nonlinear Lifting-Line Model using a Vector Formulation of the Unsteady Kutta-Joukowski Theorem |
title_full | Nonlinear Lifting-Line Model using a Vector Formulation of the Unsteady Kutta-Joukowski Theorem |
title_fullStr | Nonlinear Lifting-Line Model using a Vector Formulation of the Unsteady Kutta-Joukowski Theorem |
title_full_unstemmed | Nonlinear Lifting-Line Model using a Vector Formulation of the Unsteady Kutta-Joukowski Theorem |
title_short | Nonlinear Lifting-Line Model using a Vector Formulation of the Unsteady Kutta-Joukowski Theorem |
title_sort | nonlinear lifting line model using a vector formulation of the unsteady kutta joukowski theorem |
topic | Lifting-Line Model unsteady aerodynamics flapping wings unsteady wake modelling |
url | http://bulletin.incas.ro/files/sugar-gabor__vol_11_iss_1.pdf |
work_keys_str_mv | AT oliviusugargabor nonlinearliftinglinemodelusingavectorformulationoftheunsteadykuttajoukowskitheorem |