Email this article Modeling of the unsteady aerodynamic characteristics of the NACA 0015 airfoil from the data of numerical calculations of the flow
- Authors: Abramova К.А.1, Alieva D.А.1, Sudakov V.G.1, Khrabrov А.N.1
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Affiliations:
- Zhukovski Central Aerohydrodynamic Institute (TsAGI)
- Issue: No 1 (2024)
- Pages: 131-144
- Section: Articles
- URL: https://journals.rcsi.science/1024-7084/article/view/262497
- DOI: https://doi.org/10.31857/S1024708424010106
- EDN: https://elibrary.ru/sddsot
- ID: 262497
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Abstract
The possible application of the results of numerical modeling in developing an approximate phenomenological mathematical aerodynamic model applicable in solving the problems of dynamics is studied with reference to the example of the unsteady flow past the NACA 0015 airfoil oscillating in the angle of attack at different frequencies, amplitudes, and mean angles of attack. For this purpose, the Reynolds equations are solved in both steady and unsteady formulations, together with the k–ω-SST turbulence model. The results of the calculations are validated by means of comparing them with the experimental data. The model of the normal force and the longitudinal moment formulated within the framework of an approach introducing an internal dynamic variable is identified according to the data of calculations. The results of the modeling are compared with the numerical and experimental data. The comparison with the conventional approach to the modeling based on the linear unsteady model with the use of dynamic derivatives is also carried out.
About the authors
К. А. Abramova
Zhukovski Central Aerohydrodynamic Institute (TsAGI)
Author for correspondence.
Email: kseniya.abramova@tsagi.ru
Russian Federation, Moscow region
D. А. Alieva
Zhukovski Central Aerohydrodynamic Institute (TsAGI)
Email: diana.alieva@tsagi.ru
Russian Federation, Moscow region
V. G. Sudakov
Zhukovski Central Aerohydrodynamic Institute (TsAGI)
Email: vit_soudakov@tsagi.ru
Russian Federation, Moscow region
А. N. Khrabrov
Zhukovski Central Aerohydrodynamic Institute (TsAGI)
Email: khrabrov@tsagi.ru
Russian Federation, Moscow region
References
- Аэродинамика, устойчивость и управляемость сверхзвуковых самолетов / Под ред. Г.С. Бюшгенса. М.: Наука, Физматлит, 1998. 816 с.
- Greenwell D.I. A review of unsteady aerodynamic modelling for flight dynamics of manoeuvrable aircraft // AIAA 2004-5276. 2004.
- Goman M.G., Khrabrov A.N. State-space representation of aerodynamic characteristics of an aircraft at high angles of attack // Journal of Aircraft. V. 31. № 5. 1994. P. 1109–1115.
- Murphy P.C., Klein V. Transport aircraft system identification from wind tunnel data // AIAA 2008-6202. 2008.
- Abramov N., Khrabrov A., Vinogradov Yu. Mathematical modeling of aircraft unsteady aerodynamics at high incidence with account of wing — tail interaction // AIAA 2004-5278. 2004.
- Jategaonkar R., Fischenberg D., Gruenhagen W. Aerodynamic modeling and system identification from аlight data — recent applications at DLR // Journal of Aircraft. V. 41. № 4. 2004. P. 682–691.
- Brandon J.M., Morelli E.A. Real-time onboard global nonlinear aerodynamic modeling from flight data // AIAA 2014-2554. 2014.
- Srinivasan G.R., Ekaterinaris J.A., McCroskey W.J. Evaluation of Turbulence Models for Unsteady Flows of an Oscillating Airfoil // Computers & Fluids. 1995. V. 24. № 7. P. 833–861.
- Ekaterinaris J.A., Platzer M.F. Computational Prediction of Airfoil Dynamic Stall, S0376-0421(97)00012-2 // Prog. Aerospace Sci. 1997. V. 33. P. 759–846.
- Wang S., Ingham D.B., Ma L., Pourkashanian M., Tao Z. Turbulence modeling of deep dynamic stall at relatively low Reynolds number // Journal of Fluids and Structures. 2012. V. 33. P. 191–209.
- Wang S., Ingham D.B., Ma L., Pourkashanian M., Tao Z. Numerical investigations on dynamic stall of low Reynolds number flow around oscillating airfoils // Computers and Fluids. 2010. V. 39. № 9. P. 1529–1541.
- Menter F.R. Zonal two equation k–ω turbulence models for aerodynamics flows // AIAA Paper, 93-2906. 1993.
- Menter F.R., Kuntz M., Langtry R. Ten Years of Industrial Experience with the SST Turbulence Model // 4th International Symposium of Turbulence, Heat and Mass Transfer. 2003.
- Martinat G., Braza M., Hoarau Y., Harran G. Turbulence modelling of the flow past a pitching NACA 0012 airfoil at 105 and 106 Reynolds Numbers // Journal of Fluids and Structures. 2008. V. 24. P. 1294–1303.
- Kasibholta V.R., Tafti D. Large Eddy Simulation of the Flow past Pitching NACA 0012 Airfoil at 105 Reynolds Number // Proceedings of the ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting, FEDSM 2014-21588. 2014.
- Szydlowski J., Costes M. Simulation of flow around a static and oscillating in pitch NACA 0015 airfoil using URANS and DES // Proceeding of ASME 2004 Heat Transfer / Fluids Engineering Summer Conference. American Society of Mechanical Engineers. 2004. P. 891–908.
- Coton F.N., Galbraith R.A.M. An Experimental Study of Dynamic Stall on a Finite Wing // The Aeronautical Journal. 1999. V. 103. № 1023. P. 229–236.
- Piziali R.A. An experimental investigation of 2D and 3D oscillating wing aerodynamics for a range of angle of attack including stall // NASA Technical Memorandum 4632-1993. 1993.
- Schreck S.J., Helin H.F. Unsteady Vortex Dynamics and Surface Pressure Topologies on a Finite Wing // Journal of Aircraft. 1994. V. 31. № 4. P. 899–907.
- Храбров А.Н. Неединственность ламинарного отрывного обтекания профиля под углом атаки в схеме Кирхгофа // Ученые записки ЦАГИ. 1985. Т. XVI. № 5.
- Колинько К.А., Храбров А.Н. Математическое моделирование нестационарной подъемной силы крыла большого удлинения в условиях срыва потока.// Ученые записки ЦАГИ. 1998. Т. XIX. № 3-4.
- Khrabrov А., Ol M. Effects of flow separation on aerodynamic loads in linearized thin airfoil theory // Journal of Aircraft. 2004. V. 41. № 4.
- Храбров А.Н. Использование линейной теории кавитации для математического моделирования отрывного обтекания профиля с конечной зоной отрыва // Ученые записки ЦАГИ. 2001. Т. XXXII. № 1-2.
