Abstract
A paradox of the blunt edge of an airfoil in an unsteady ideal flow is established, which states that the solution of the nonlinear problem of unsteady flow around a blunt‐edged airfoil subject to strict boundary conditions at this edge is physically meaningless. The paradox is a consequence of the adopted model of the unsteady fluid flow near the blunt edge, which assumes inflection of streamlines. It is established that the solution of the problem by local replacement of the blunt edge by a sharp edge using the hypothesis on the smoothness of streamlines near the trailing edge is physically meaningful.
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REFERENCES
S. M. Belotserkovskii, V. N. Kotovskii, M. I. Nisht, R. M. Fedorov, Mathematical Simulation of Plane-Parallel Separation Flow Past Bodies [in Russian], Nauka, Moscow (1988).
T. Sarpkaya, “Computational methods with vortices. — The 1988 Freeman scolar lecture," Proc. of Am. Soc. Eng.-Mech. (Transl. J. Trans. ASME J., Ser. A), 10, 1-60 (1989).
K. P. Il'ichev and S. N. Postolovskii, “Calculation of unsteady separation plane flow of an inviscid fluid past bodies," Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 72-82 (1972).
V. A. Golovkin, “Nonlinear problem of unsteady flow around an arbitrary airfoil with a freely deformed wake vortex," Uch. Zap. TsAGI, 3, No. 3, 1-11 (1972).
A. I. Zobnin, “Modeling the initial state of development of a wake vortex," in: Dynamics of Fluids with Free Boundaries (Collected scientific papers) [in Russian], No. 60, Inst. of Hydrodynamics, Sib. Div., Acad. of Sci. of the USSR, Novosibirsk (1983), pp. 51-59.
D. N. Gorelov and Yu. S. Smolin, “Unsteady flow around blunt-edged airfoils,” Vychisl. Tekhnol., 5, No. 3, 11-20
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Gorelov, D.N. Paradox of the blunt edge of an airfoil in an unsteady flow. Journal of Applied Mechanics and Technical Physics 43, 37–42 (2002). https://doi.org/10.1023/A:1013949825331
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DOI: https://doi.org/10.1023/A:1013949825331