Abstract
The paper describes a numerical study of a method of preventing the separation of a laminar boundary layer from the forward section of a symmetric aerofoil, the flow past which does not separate at zero angle of incidence. In order to increase the maximum angle of incidence at which the flow has still not separated, a circular cavity (vortex cell) located almost completely inside the aerofoil is introduced on the segment vulnerable to separation. The asymptotics of the corresponding flow at high Reynolds number are described using the Prandtl-Batchelor model.
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References
J. Z. Wu, A. D. Vakili, and J. M. Wu, “Review of the physics of enhancing vortex lift by unsteady excitation,” Progr. Aerosp. Sci.,28, No. 1, 73–131 (1991).
S. I. Chernyshenko, “Stabilization of trapped vortices by alternating blowing suction,” Phys. Fluids,7, No. 4, 802–807 (1995).
A. V. Bunyakin, S. I. Chernyshenko, and G. Yu. Stepanov, “Inviscid Batchelor-model flow past an aerofoil with a vortex trapped in a cavity,” J. Fluid Mech.,323, 367–376 (1996).
S. I. Chernyshenko, “Separated flow over a backward-facing step whose height is much greater than the thickness of the lower sublayer of the interaction zone,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 25–30 (1991).
S. I. Chernyshenko, “The asymptotic form of the stationary separated circumfluence of a body at high Reynolds number,”Prikl. Materm. Mekh.,52, No. 5, 958–966.
S. I. Chernyshenko, “Calculation of low-viscosity flows with separation by means of Batchelor’s model,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 40–45 (1984).
A. M. Kuethe and C. Y. Chow,Foundation of Aerodynamics. Bases of Aerodynamic Design, N.Y.: Wiley (1986).
N. N. Kalitkin,Numerical Methods, Moscow, Nauka (1978).
H. B. Squire, “Note on the motion inside a region of recirculation (cavity flow),” J. Roy. Aeron. Soc.,60, No. 543, 203–205 (1956).
Additional information
Krasnodar. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, pp. 52–57, March–April, 1998.
The work was financially supported by the International Science Foundation (grants M4K000 and M4K300) and by the Russian Foundation for Fundamental Research (project No. 96-01-01290).
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Bunyakin, A.V. Laminar boundary layer in a flow past an aerofoil with a circular cavity. Fluid Dyn 33, 196–200 (1998). https://doi.org/10.1007/BF02698702
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DOI: https://doi.org/10.1007/BF02698702