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Mathematical simulation of unsteady flow past a wing with jets

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Abstract

The various approximate approaches to the investigation of the unsteady aerodynamic characteristics of an airfoil with jet flap [1–3] are applicable only for an airfoil, low jet intensity, and low oscillation frequencies. In the present paper, the method of discrete vortices [4] is generalized to the case of unsteady flow past a wing with jets and arbitrary shape in plan. The problem is solved in the linear formulation; the conditions used are standard: no flow through the wing and jet, finite velocities at the trailing edges where there is no jet, and also a dynamical condition on the jet. The wing and jet are assumed to be thin and the medium inviscid and incompressible.

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Literature cited

  1. D. A. Spence, “The theory of the jet flap for unsteady motion,” J. Fluid Mech.,10, 237 (1961).

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  2. D. A. Spence, “The flow past a thin wing with an oscillating jet flap,” Philos. Trans. R. Soc. London, Ser. A:257, 445 (1965).

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  3. J. M. Simmons and M. F. Platzer, “A quasisteady theory for incompressible flow past airfoils with oscillating jet flaps,” AIAA J.,16, 237 (1978).

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  4. S. M. Belotserkovskii, B. K. Skripach, and V. G. Tabachnikov, Wing in an Unsteady Gas Stream [in Russian], Nauka, Moscow (1971), p. 767.

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  5. J. M. Sinunons, “Measured pressure distributions on airfoil with oscillating jet flap,” AIAA J.,14, 1297 (1976).

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 139–144, May–June, 1982.

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Belotserkovskii, S.M., Gulyaev, V.V. & Yakovlev, V.V. Mathematical simulation of unsteady flow past a wing with jets. Fluid Dyn 17, 440–445 (1982). https://doi.org/10.1007/BF01091283

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  • DOI: https://doi.org/10.1007/BF01091283

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