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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Main Author: Oliviu SUGAR GABOR
Format: Article
Language:English
Published: National Institute for Aerospace Research “Elie Carafoli” - INCAS 2019-03-01
Series:INCAS Bulletin
Subjects:
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.
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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
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