Email this article Flow past Rankine’s Half-Body of Revolution
- Authors: Korolev G.L.1, Sychev V.V.1
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Affiliations:
- Central Aerohydrodynamic Institute (TsAGI)
- Issue: No 2 (2023)
- Pages: 85-89
- Section: Articles
- URL: https://journals.rcsi.science/1024-7084/article/view/135072
- DOI: https://doi.org/10.31857/S0568528122600576
- EDN: https://elibrary.ru/NSYFUF
- ID: 135072
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Abstract
An axisymmetric incompressible flow past Rankine’s half-body of revolution is investigated at high Reynolds numbers. It is established that the solution of the problem for the system of boundary layer equations does not involve the line of zero surface friction. The low under consideration is separationless, which is in complete agreement with the available experimental data.
Keywords
About the authors
G. L. Korolev
Central Aerohydrodynamic Institute (TsAGI)
Email: glk777@mail.ru
Zhukovsky, Moscow oblast, 140180 Russia
Vik. V. Sychev
Central Aerohydrodynamic Institute (TsAGI)
Author for correspondence.
Email: glk777@mail.ru
Zhukovsky, Moscow oblast, 140180 Russia
References
- Van Dyke M.D. Second-order slender-body theory − axisymmetric flow // NASA Tech. Rep. 1959. R-47. 26 p.
- Cole J.D. Perturbation methods in applied mathematics. Waltham: Blaisdell, 1968. 260 p.
- Jones R.T. Leading-edge singularities in thin-airfoil theory // J. Aeronaut. Sci. 1950. V. 17. № 5. P. 307−310.
- Van Dyke M.D. Second-order subsonic airfoil theory including edge effects // NACA Rep. 1956. № 1274. 23 p.
- Van Dyke M. Perturbation methods in fluid mechanics. Stanford: Parabolic Press, 1975. 271 p.
- Rankine W.J.M. On the mathematical theory of stream-lines, especially those with four foci and upwards // Phil. Trans. Roy. Soc. London. 1871. V. 161. Pt. II. P. 267–306.
- Сычев В.В., Башкин В.А. Лекции по теоретической гидродинамике. Ч. I. Учебное пособие. М.: МФТИ, 2003. 188 с.
- Rosenhead L. (Ed.) Laminar boundary layers. Oxford: Clarendon Press, 1963, 688 p.
- Homann F. Der Einfluβ groβer Zähigkeit bei der Strömung um den Zylinder und um die Kugel // ZAMM. 1936. Bd. 16. H. 3. S. 153−164.
- Королев Г.Л., Сычев Вик. В. О пограничном слое при обтекании полутела Рэнкина // Изв. РАН. МЖГ. 2021. № 6. С. 62–65.
- Werlé H. Le décollement sur les corps de révolution à basse vitesse // La Rech. Aéron. 1962. № 90. P. 3−14.
- Van Dyke M. An album of fluid motion. Stanford: Parabolic Press, 1982. 176 p.
